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I :+-74 pm ----.: I Unit COVALENT RADIUS = 37 pm Classification of Elements and Periodicity in Properties •• THE NEED FOR CLASSIFICA· TION OF ELEMENTS Before the beginning of eighteenth century, only a very few elements were known and it was quite easy to study and remember their individual properties. In 1800, only 31 elements were known. This number of elements grew to 63 by 1865. At present about 114 elements are known of which 94 are naturally occurring. With the discovery of large number of elements it became difficult to study individually the properties of these elements and their compounds. At this stage the scientists felt the need of some simple method to facilitate the study of the properties of various elements and their compounds. After numerous attempts the scientists were ultimately successful in arranging the elements in such a way so that similar elements were grouped together and different elements were separated. The arrangement of elements in such a way that the similar elements fall within same vertical group and the dissimilar elements are separated, is known as classification of elements. The classification of elements led to the formation of periodic table. Thus : Periodic table may be defined as the table giving the arrangement of all the known elements according to their properties so that similar elements fall within the same vertical column and dissimilar elements are separated. 11 EARLIER ATTEMPI'S OF CLASSIFICATION OF ELEMENTS Earlier attempts on classification of elements were based on atomic weights. The formulation of a satisfactory periodic law took place only after 1860. DOBEREINER'S TRIADS The German chemist, Johann Dobereiner (1829) made the first significant attempt to show a relationship between atomic weights and the chemical properties of the elements. He observed that certain similar elements exist in groups of three elements which he named triads. An interesting feature of these triads is that the atomic weight of middle member was the arithmetic mean of the atomic weights of the other two members of the triad. Moreover, the properties of the middle element were in between those of the other two elements of the triad. For example, lithium, sodium and potassium constituted one triad. Atomic weights of lithium, sodium and potassium are 7, 23 and 39. We can observe that atomic weight of sodium is equal to the average of atomic weights oflithium and potassium. Atomic weight of lithium '· . ht Atomic weig 'of sodium + Atomic weight of potassium = -----=---=----2 7+39 =-2- =23 Some more examples of triads Table 3. I. are given in However, this law of triads could be applied only to a limited number of elements and was dismissed as more coincidence. THE TELLURIC HELIX In 1862, A.E.B. de Cbancourtois, a French geologist, indicated a relation between the properties of the elements and their atomic weights in the form ofhis telluric helix. He used a vertical cylinder with 16 equidistant lines on its surface, the lines being parallel to the axis of cylinder. He drew a helix at 45° to the axis and arranged the elements on the helix in the order of their increasing atomic weights. In this way the elements that differed from each other in atomic weight by 16 or multiples of 16 fell very nearly on the same vertical line. This concept did not attract much attention. THE LAW OF OCTAVES The distinction' of correlating the chemical properties of the elements with their atomic weights goes to J.A.R. Newlands. In 1865, he arranged the elements in the order of increasing atomic weights and Table 3.1. Dobereiner's Triads _'J1~~:~;~: ~::.ii~¥~ '~~~~~\:~ ; ~<~·<l~·.·~:~~~ &' S Se Te 32 79 128 Cl Br 35.5 80 127 I Ca Sr Ba 40 88 137 32+ 128 =80 2 35.5 + 127 = 81.25 2 40+ 137 =88.5 2 Table 3.2. Newlands' Li 7 Na 23 K 39 Octaves Be 9 B 11 C 12 Mg AI Si 24 27 29 N 0 F 19 Ca 40 noticed that the eighth element, starting from a given one, is a kind of repetition of the first, like the eighth note in an octave of music. Newlands named this generalization, the law of octaves, due to its similarity to the musical scale. Although Newlands' law of octaves met with ridicule, nevertheless Newlands was the first to publish a list of the elements in the order of increasing atomic weights. The arrangement of elements as shown in Table 3.2 illustrates the law of octaves. However, the law of octaves also could not be applied beyond calcium. Moreover, with the discovery of noble gases, the eighth element no longer remains a similar element. The credit for the development of periodic table goes to the Russian scientist Dmitri I. Mendeleev and to the German scientist Lothar Meyer. In 1869, they independently proposed that the properties of the elements are periodic function of their atomic weights. Attempts to find regularities among the elements led the Russian scientist, Dmitri I. Mendeleev to put forward a scheme of classification of elements in 1869. He gave a periodic law known after his name as Mendeleev's periodic law. This law states that: The properties of elements are a periodic function of their atomic weights. It means that when the elements are arranged in order of increasing atomic weights, the elements with similar properties recur after regular intervals. On the basis of this periodic law, Mendeleev constructed a periodic table in such a way that the elements were arranged horizontally in the order of their increasing atomic weights. However, he also kept in mind the similarities in the chemical properties of the elements. The main criterion of thejudgement ofsimilarities in the properties was valency of the elements. Mendeleev observed that some of the elements did not fit in with his scheme of classification if the order of atomic weights was strictly followed. He ignored the order of atomic weights and placed the elements with similar chemical properties together. For example, iodine having atomic weight 127 was placed after tellurium (atomic weight 128), together with fluorine, chlorine and bromine due to similarities in properties. The general plan of the modified Mendeleev's periodic table is shown in Fig. 3.1. The Mendeleev's modified periodic table consists of : (i) Nine vertical columns, called groups. These are numbered from I to VIII and zero. (The members of zero group were. not discovered at the time of Mendeleev). Each group, from I to VII, is further subdivided into two sub-groups designated as A and B. Group VIII consists of three sets each one containing three elements. Group zero consists of inert gases. (ii) Seven horizontal rows, called series or periods. These are numbered from 1 to 7. First period contains two elements. Second and third periods contain eight elements each. These periods are called short periods. Fourth and fifth periods contain eighteen elements each. These periods are called long periods. Sixth period contains 32 elements and is called longest period. Seventh period is incomplete. USES OF MENDELEEV'S PERIODIC TABLE Some important uses of Mendeleev's periodic table are given below : 1. Classification of elements. In this periodic table elements are classified into groups with similar properties, thus facilitating the study of properties of elements. 2. Prediction of new elements. Mendeleev left certain vacant places in his table which provided a clue for the discovery of new elements. Some of the properties Modified Form of Mendeleev's Periodic Table 20.183 . Ar18 39.948 6.939 9.012 10.81 12.001 14.007 15.999 18.998 3 INaIl 22.99 Mg12 24.31 Al13 26.98 Si 14 28.09 p15 30.974 S16 32.06 Cl17 35.453 4 Se21 Mn25 Ca20 IK19 Ti22 v= Cr24 39.102 40.08 44.96 47.90 50.94 52.00 54.94 Br35 Ge32 As33 • Se34 Cu29 Zn30 Ga31 72.59 74.92 78.96 79.909 63.54 65.37 69.72 5 IRb37 85.47 Ag47 107.87 6 7 va9 88.91 ·Sr38 87.62 Cd46 In49 112.40 114.82 zr40 91.22 Sb51 121.75 Sn50 118.69 Hf12 *La57 I CS55 Ba56 178.49 132.90 137.34 138.9 Hg80 Tl81 Pb82 Au79 196.97 200.59 204.37 207.19 IFr87 (223) Ra88 (226) *LANTHANIDES Ce56 140.12 Pr59 *ACTINIDES Th90 232.04 Pa91 (231) 140.91 Nb41 92.91 Ta73 180.95 Bi83 208.98 Ku104 *Ac89 (227) M042 95.94 Te52 127.60 Tc43 (99) 153 126.90 WT4 Re75 183.85 186.2 Po84 At85 (210) (210) Ru« 101.07 Os76 190.2 C027 58.93 Rh45 102.91 Ir77 192.2 Ni28 58.71 I 1{r36 83.80 I 131.30 I Rn86 (222) Pd46 106.4 XeM Pt78 195 Ha106 (260) Nd60 144.24 Pm61 Sm62 (145) 150.35 Eu63 151.96 Gd64 157.25 Tb65 158.92 Dy66 lJ92 Np93 Pu94 238.03 (237) Am95 (243) Cm96 (247) Bk97 (247) (244) Fe26 55.85 Er88 Tm69 162.50 Ho67 164.93 167.26 Cf98 (251) ES89 (254) Fm100 (254) 168.93 Yb70 173.03 Lu71 174.97 Md101 (256) NOI02 (254) Lrl03 - A and B are the sub-groups. The figures at the top right corner and below the symbols represent . atomic number and atomic weights respectively. - - -_.- (257) - I I ~ Table 3.3. Comparison of the properties of Eka-Aluminium and Eka-SiHcon as Predicted by Mendeleev with those Observed Experimentally for Gallium and Germanium Atomic weight 68 70 72 72.6 Density / (glcm3) 5.9 5.94 5.5 5.36 Melting point / K Low 29.78 High 1231 Formula of oxide E20S E02 Ge°2 Formula of chloride ECl3 ECl4 GeCl4 GaCIs could be predicted with a fair accuracy. For example, both gallium and germanium were not discovered at the time when Mendeleev proposed his periodic table. Mendeleevnamed these elements as Eka-Aluminium and Eka·Silicon respectively. Later on, when these elements were discovered, Mendeleev's prediction proved remarkably correct. Some of the properties .predicted by Mendeleev for these elements and those found experimentally are given in Table 3.3. 3. Determination of correct atomic weights. With the help of this table, doubtful atomic weights of certain elements were corrected.For example,beryllium was assigned an atomic weight 13.5 on the basis of its equivalent weight (4.5) and valency (calculated as 3). Beryllium, with this atomic weight (13.5) should have been placed between carbon (atomic weights 12) and nitrogen (atomic weight 14). But there was no place vacant between C and N and moreover the properties of beryllium did not justify such a position. Hence, valency 2 was assigned to beryllium which gave it the atomic weight equal to 9 and it was placed at its proper place between 7Liand llB. DEFECTS IN THE MENDELEEV'S PERIODIC TABLE Some of the main defects in the Mendeleev's periodic table are given below: 1. Position of hydrogen. The position of hydrogen in the table is not certaiB because it can be placed in 1st as well as in group VII as it resembles both with alkali metals of I A group and halogens of VII A group. 2. Anomalous pairs of elements. Certain elements of higher atomic weight preceed those with loweratomicweight. For example,iodine(atomicweight 127) was placed after tellurium (atomic weight 128) although its atomic weight was lower than that of tellurium. 3. Lanthanides and Actinides. A group of 14 elements (at. No. 58 to 71) called rare' earths or lanthanides are placed together in one position i.e., in group III B of 6th period. Similarly, another group of elements called actinides do not find their proper places in this periodic table. 4. Position of isotopes. Isotopes of elements are placed in the same position in the table though according to their atomic weights, they should have been placed in different positions. 5. Separation of similar but grouping of certain dissimilar elements. Certain chemically similar elements like copper and mercury are placed in different groups while some other dissimilar elements like copper,silver and goldhave been placedin the same group. 6. No place was assigned for the noble gases in the Mendeleev's periodic table. '" MODERN PERIODIC LAW . A large number of scientists made attempts to remove drawbacks of Mendeleev's periodic table. In 1913,the English Physicist Henry Moseleystudied the X-ray spectra of many elements. He observed that a plot JV (where v is the frequency ofthe X-rays emitted) against atomic number (Z) gave a straight line and not the plot of JV against atomic weight. He proposed that atomic number is a more fundamental property of an element than its atomic weight. Therefore, the physical and chemicalproperties ofthe elements are determined by their atomic numbers instead of their atomic weights. This observation led to the development of modern periodiclaw. The modern periodic law states that: The physical and chemical properties of the elements are the periodic function of their atomic numbers. It means that if the elements are arranged in order of increasing atomic numbers, the elements with similar properties recur after regular intervals. Many new forms of periodic table have been proposed in recent times with modem periodic law as guiding principle, but the general plan of the table remained the same as proposed by Mendeleev. The most commonly known periodic table is the long form of the periodic table. Before discussing the general plan of the long form periodic table, let us look into the basic cause of periodic repetition of properties. control the properties of the atoms. Thus, if the arrangement of electrons in the outer most shell (valence shell) of the atoms is same, their properties will also be similar. For example, the electronic configurations of alkali metal as given in Table 3.4, show the presence of one electron in the s-orbital of their valence shells. Similar behaviour of alkali metals is attributed to the similar valence shell configuration of their atoms. Similarly, if we examine the electronic configurations of other elements, we shall find that there is a repetition of the similar valence shell configuration after certain regular intervals with the regular increase of atomic number. Thus, it can be concluded that the periodic repetition of properties is due to the recurrence of similar valence shell configurations after certain regular intervals. CAUSE OF PERIODICITY It has been pointed out that if the elements are arranged in order of increasing atomic numbers, the elements with similar properties are repeated after regular intervals. The periodical repetition of elements with similar properties after certain regular intervals when the elements are arranged in order of increasing atomic number is called periodicity. In order to understand the cause of periodicity, let us first answer the question; why do certain elements exhibit similar properties? From the knowledge of atomic structure it may be recalled that atom has a small positively charged nucleus with electrons distributed around it. The atomic nucleus does not undergo any change during the ordinary chemical reactions. Thus, it may be assumed that the physical and chemical properties of the elements must be related to the arrangement of electrons in their atoms. Since electrons present in the inner shells do not take part in chemical combination, it must be the electrons in the outer most shell which It may further be noted that this type of similarity in properties is repeated after the intervals of2, 8, 18 or 32 in their atomic numbers. These numbers of 2, 8, 18 and 32 after either of which elements with similar properties start recurring are frequently called magic numbers. _ LONG FORM OF PERIODIC TABLE The long form of the periodic table is an improved form of the periodic table which is based upon modem periodic law. The long form of periodic table is given on next page. Let us now, study the structural features of the periodic table. STRUCTURAL FEATURES PERIODIC TABLE OF LONG FORM OF Description of Periods A horizontal row of a periodic table is called a period. A period consists of a series of elements having Table 3.4. Electronic Configurations of Alkali Metals 182,281 Li 3 Na 11 1s2, 282 2p6, 381 K 19 182, 282 2p6, 382 3p6, 481 Rb 37 182, 282 2p6, 382 3p6 3d10, 482 4p6, 581 Cs 55 182,282 2p6, 382 3p6 3d10, 482 4p6 4d1O, 582 5p6, 681 Fr 87 182,282 2p6, 382 3p6 3d10, 482 4p6 4d10, 5s2 5p6 5d10, 682 6p6, 781 Long Form of Periodic Table Representative I.. Elements s-Block ~ 3. 1 2 3 Li 1 28 4 m 12 Mg 2 K 4s 1 5. 6. 7 Noble 18 ~ 13 Transition 3 20 Ca 482 21 Se 37 Rb 1 58 38 Sr 2 58 55 Cs Ba 1 2 56 Elements 2 3ci48 4 22 Ti 3;482 39 40 Zr Y 4ci5/ 4i582 57 La* 6s 6s 5ci6s 2 87 Fr 88 Ra 89 Ac- '1/ 7s 2 6ci7s 5 23 V 2 3i4s 41 Nb 4d45s1 42 Mo 43 Tc 4d 5s 73 Ta 74 W 2 5168 4 2 5/ at78 5 4 4 2 5/ at78 1 2 5i6s 106 Sg 2 3d 4s 27 Co 28 Ni 29 Cu 2 2 45 Rh 8 1 Ag 4d 5/ 4cl° 76 Os 77 Ir 78 Pt 2 2 5/6s 9 108 Hs 10 79 Au 5d106/ 1 2 2s 2/ 4 7 4 2 5/ 6d 7s2 5/ 6178 81 82 TI Pb 2 5dlO6s2 68 6/ 6/6/ 114 112 Uuq Uub - 51 Sb 5/5/ 52 Te 2 58 5/ 53 I 2 58 5/ 64 Xe 2 58 5/ 83 Bi 84 Po 85 At 86 Rn 80 Hg 111 Rg 110 Ds 109 Mt 49 48 50 In Sn Cd 2 4d105/ 58 5pl 5/5/ 47 5d 6s 5i6s 30 Zn acl°4s2 3cl°4s 46 Pd 4d 5s 5/46d57s2 5t6;7s2 5 15 14 16 17 18 P Si S Cl Ar 2 2 2 3823pl 38 3/ 3/3p3 38 3/ 3823/ 38 3/ 36 31 32 33 34 35 Ge As Kr Se Ga Br 2 1 2 6 2 2 4s 4p 4824p2 48 4p3 4s 4p4 48 411 4824/ 12 1 3/4s 4d 5/ 107 Bh 5/46i~~ 11 3i4s 44 Ru 75 Re 2 10 9 7 4i5/ 5d 6s 105 Db 104 Rr 2 2 3i48 6 10 Ne 13 Al 8 26 Fe 25 Mn 1 aJl482 72 Hr 4tW6s 7 6 24 Cr He 182 16 17 8 9 0 F 2 2 28 2/ 282p 7 N B 2 1 2S22p2 282p 2/2/ d-Block as 15 14 6 C 5 2S2 l 19 4. Be 11 Na as . I Elements p-Block gases 1. 2. Representative ~ 6s2 6p3 6/ 2 68 6/ 2 68 116 Uuh - 2 6s 6[/ - - 5/46d97s2 5/46dI07s2 Inner Transition Elements f-Block "Lanthanides 4f5dO-I682 ""Actinides 5f6dO-I7s2 58 Ce 59 Pr 60 Nd 2 4/5cisl 4(5i6s 4(5i6/ 90 Th 91 Pa 92 U 5/6;71 1 5(6d 71 1 5(6d 7i 61 Pm 62 Sm 2 4t5d°6s 93 Np 1 5(6d 71 -- 63 Eu 2 4t5d°6s 94 Pu 5t6i7s 2 2 4/5i6s 95 Am ~(;rl7s2 64 Cd 1 4/5d 6s 96 Cm 5/sci71 66 Dy 65 Tb 2 2 4(5doSs 4t5i6s 98 cr 97 5(si7/ 2 4/°5l6s Bk 2 5/°6do7s 1 - 2 4/35i6s 5/ 6do7i 101 Md 5/ a 71 Lu 70 Yb 2 100 Fm 2 5/ 6i78 - 69 Tm 2 4/ 5i6s 99 Es 2 ----- S8 Er 67 Ho 2 s!'!{ 4 0 4/ 5d 6s 2 4/45ci6/ 103 Lr 102 No y~S/?S2 l 5/ 6d 71 4 ---- ~ same valence shell. There are seven periods in all which are numbered as 1,2,3,4,5,6 and 7. ' There is a close connection between the electronic configurations of the elements and the long form of the periodic table. As pointed out earlier in Unit 2 that the principal quantum number n defines the main energy level of the electron also called main energy shell. Each period of the periodic table begins with the filling of new energy shell. In fact, the number of the period also represents the highest principal quantum number of the elements present in it. The number of elements in each period is equal to the number of electrons which can be accommodated in the orbitals belonging to that electron shell. The first period corresponds to the filling of electrons in first energy shell (i.e., n 1). Now this energy level has only one orbital ti.e., Is) and, therefore, it can accommodate two electrons. This means that there can be only two elements in the first period. The second period starts with the electrons beginning to enter the second energy shell (n = 2). There are only four orbitals (one 2s and three 2p orbitals) to be filled which can accommodate eight electrons. Thus, second period has eight elements in it. The third period begins with the electrons entering the third energy shell (n = 3). It may be recalled that out of nine orbitals of this energy level (one s, three p and five d), the five 3d orbitals have higher energy than 4s orbitals. As such only four orbitals (one 3s and three 3p) corresponding to n = 3 are filled before the fourth energy level begins to be formed. Hence, there are only eight elements in the third period. The fourth period corresponds to n 4. It starts with the filling of 4s-orbitals. However, after the 4s but = = Table 3.5. Number First Second Third Fourth Fifth Sixth Seventh (incomplete) *At n=l n=2 n=3 n=4 n=5 n=6 n=7 before the 4p orbitals, there are five 3d orbitals also to be filled. Thus, in all, nine orbitals (one 4s, five 3d and three 4p) have to be filled and as such there are eighteen elements in fourth period. It may be noted that the filling of 3d-orbitals starts from Sc (Z = 21). The elements from Sc (Z = 21) to Zn (Z = 30) are called 3d-transition series. The fifth period beginning with 5s orbital (n = 5) is similar to fourth period. There are nine orbitals (one 5s, five 4d and three 5p) to be filled and, therefore, there are eighteen elements in fifth period as well. The sixth period starts with the filling of 6s orbital in. 6). There are sixteen orbitals (one 6s, seven 4f, five 5d and three 6p) in which filling of electrons takes place before the next energy level starts. As such there are thirty two elements in sixth period. The filling up of 4f orbitals begins with cerium (Z = 58) and ends at lutetium (Z = 71). It constitutes the first f-transition series which is called Ianthanoid series. The seventh period begins with 7s-orbital (n 7). It would also have contained 32 elements corresponding to the filling of7s, 5f, 6d and 7p orbitals. But it is still incomplete. The filling up of 5f orbitals begins with thorium (Z = 90) and ends up at lawrencium (Z = 103). It constitutes secondf-transition series which is called actinoid series. It mostly includes man-made radioactive elements. In order to avoid undue expansion of the periodic table the 4f and 5f-transition elements have been placed separately. The relationship between number of elements in a period and electron filling of orbitals have been summed up in Table 3.5. = = of Elements in Different Is 2s,2p 38,3p 4s, 3d, 4p 5s, 4d, 5p Ss, 4{, 5d, 6p 7s, 5(, 6d, 7p present 7th period is incomplete. It contains about 32 elements. Periods 2 2+6 2+6 2 + 10 + 6 2+10+6 2 + 14 + 10 + 6 2 + 14 + 10 + 6 2 8 8 18 18 32 32* It may be noted that periods 2 and 3 contain 8 elements each and are called short periods. There are 18 elements each in 4th and 5th periods and they are called long periods. Sixth period containing 32 elements is called the longest period. Description of Groups I A vertical column of the periodic table is called a group. A group consists of a series of elements having similar configuration of the outer energy shell. For example, all the group 1 elements have ns) valence shell electronic configuration. There are eighteen vertical columns in the long form of the periodic table. According to the recommendation of the International Union of Pure and Applied Chemistry (lUPAC), these groups are numbered from 1 to 18. It may be noted that the elements belonging to same group are said to constitute a family. For example, elements of group 17 constitute halogen family. Similarly, elements of group 16 constitute chalcogen family or oxygen family. Kurchatovium. In order to avoid such controversies, it was decided by IUPAC that until a new element's discovery is proved, and its name is officially recognized, a systematic nomenclature be derived directly from the atomic number of the element using the Latin words for their numbers : nil for zero, un for one and so on. The Latin words for various digits of the atomic number are written together in the order of which makes the atomic number and 'ium' is added at the end. For example, the element with atomic number 104 was named unnilquadium and was assigned symbol Unq. The latin words for various digits are given in Table 3.6. Table 3.6. Latin Words Roots for Various Digits 0 1 2 3 4 5 NOMENCLATURE OF ELEMENTS WITH ATOMIC NUMBERS> 100 6 7 8 9 The elements beyond uranium (Z = 92) are known as transuranium elements. The elements beyond fermium (Z = 100) are known as transfermium elements. These elements have atomic numbers 101 onwards. The elements fermium (Z = 100), mendelevium (Z 101), nobelium (Z 102) and lawrencium (Z 103) are named after the names of famous scientists. When elements with Z > 103 were synthesized, the syntheses of some of these elements were reported almost simultaneously (in 1970) by scientists in United States and in erstwhile Soviet Union and each group proposed different names. For example, the element with atomic number 104 was named Rutherfordium by American scientists while Soviet scientists named it = = = nil un hi tri quad pent hex sept oet enn n u b t q p h s 0 e Similarly, the elements with atomic numbers 105-112 were named as given in Table 3.7. Thus, when a new element is discovered, it first gets a temporary name, with symbol consisting of three letters. Later, a permanent name and symbol are given by a vote of IUPAC representatives from member countries. The permanent name might reflect the country (or state of the country) in which the element was discovered, or pay tribute to a famous scientist. As of now, elements with atomic numbers up to 112, 114 and 116 have been discovered. However, their official IUP AC names are yet to be announced. Elements with atomic numbers 113, 115, 117 and 118 are not yet known. Table 3.7. Names and Symbols in Current Use (or proposed) for Elements with Atomic Number Above 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 Unnilunium Unnilbium Unniltrium Unu Unb Mendelevium Md Nobelium Unt Lawrencium Rutherfordium No Lr Unnilquadium Unq Unnilpentium Unnilhexium Unp Unh Dubnium Db Seaborgium Sg Unnilseptium Uns Bohrium Unniloctium Unnilennium Uno Hassium Bh Hs Une Meitnerium Mt Ununnilium Unununium Uun Darmstadtium Roentgenium Ds Rg Ununbium Uub Ununtrium Uut Uuu Ununquadium Uuq Ununpentium Ununhexium Uup Uuh Ununseptium Ununoctium Uus 119 Ununennium Uue 120 Unbinilium Ubn Uuo DIVISION OF PERIODIC TABLE INTO S·, p., d- AND f·BLOCKS ON THE BASIS OF ELEC· TRONIC CONFIGURATIONS The long form of periodic table can be divided into four main blocks. These are s-, po, d- and f-blocks. The division of elements into blocks is primarily based upon their electronic configuration as shown in Fig. 3.3. 1. s-BLOCK ELEMENTS The elements in which the last electron enters the s-sub-shell of their outermost energy level are called s-block elements. This block is situated at extreme left of the periodic table. It contains elements of groups 1 and 2. Their general configuration is nsl-2, where n represents the outermost shell. The elements of group 1 are called alkali metals whereas the elements of group 2 are called aJkaline earth metals. Rf 1 .----__ ---1 I I d-Block elements (transition elements) p-Block elements (representative elements) : ~ : gj : ~ ::0 (n_1)d1-10nsO-2 2 ns np 1-6 I 0 :Z I I I r f-Block elements (inner transition elements) (n_2)f1-14 (n_1)dD-1 ns2 Some of the general characteristics of s-bloek elements are: (i) They are soft metals. (ii) They have low melting and boiling points. I tiii) They have low ionization enthalpies and hence are highly electropositive. Civ)They are very reactive and do not occur in native state in nature. (u) They show oxidation states of + 1 (in case of alkali metals) or + 2 (in case of alkaline earth metals). (vi) They are good reducing agents. (vii) The compounds of s-block elements are predominantly ionic. However, lithium and beryllium form covalent compounds. 2. p-BLOCK ELEMENTS The elements in which the last electron enters the p-sub-shell of their outermost energy level are called p-bloek elements. The general configuration of their outermost shell is ns2 npl-8. The only exception is helium (1s2). Strictly, helium belongs to the s-block but its positioning in the p-block along with other group 18 elements is justified because it has a completely filled valence shell (ls2) and as a result, exhibits properties characteristic of other noble gases. This block is situated at the extreme right of the periodic table and contains elements of groups 13, 14, 15, 16, 17 and 18 of the periodic table. Most of these elements are non-metals, some are metalloids and a few others are heavy elements which exhibit metallic character. The nonmetallic character increases as we move from left to right across a period and metallic character increases as we go down the group. Some of the general characteristics of p-block elements are: (i) They show variable oxidation states. tii) They form ionic as well as covalent compounds. tiii) They have relatively higher values of ionization energy. (iv) Most of them are non-metals. (e) Most of them are highly electronegative. (vi) Most of them form acidic oxides. 3. d·BLOCK ELEMENTS The elements in which the last electron enters the d-sub-shell of the penultimate energy level are called d-block elements. Their general valence shell configuration is (n _l)d1-10, ns0-2,where n represents the outer most energy level. d-Block contains three complete rows of ten elements in each. The fourth row is incomplete. The three rows are called first, second and third transition series. They involve the filling of 3d, 4d and 5d orbitals respectively. The d-block contains elements of groups 3 to 12 of the periodic table. The general characteristics of d-bloek elements are: (i) (ii) They are hard, high melting metals. They show variable oxidation states. .(iii) They form coloured complexes. (iv) They form ionic as well as covalent compounds. Cv)Most of them exhibit paramagnetism. (vi) Most of them possess catalytic properties. (vii) They form alloys. For example, brass is an alloy of copper and zinc. tuiii) They are good conductors of heat and electricity. On one side of the d-block metals there are reactive elements of groups 1 and 2, and on the right hand side there are less reactive elements of groups 13 and 14. Thus, transition elements form a bridge between reactive metals of groups 1 and, 2, and less reactive elements of groups 13 and 14. That is why d-block elements are called transition elements. It may be mentioned here that Zn, Cd and Hg do not exhibit most of the characteristic properties of transition elements because they have fully filled d-subshell. 4. f·BLOCK ELEMENTS The elements in which the last electron enters the f-sub-leuel of the anti-penultimate (third to the outer most shell) shell are called f-bloek elements. Their general configuration is (n - 2)f1-14 (n - 1) dO-I, ns2, where n represents the outer most shell. They consist of two series of elements placed at the bottom of the periodic table. The elements of first series follow lanthanum (57La) and are called lanthanoids. The elements of second series follow actinium (80c) and are called actinoids. Actinoid elements are radioactive. Many of them have been made only in nanogram quantities or even less by nuclear reactions. Chemistry of the actinoids is complicated and is not fully studied. The general characteristics off·block elements are: (i) They show variable oxidation states. (ii) They are high melting metals. (iii) They have high densities. (iv) They form complexes, most of which are coloured. (u) Most of the elements of actinoid series are radioactive. It may be noted that: 1. The element hydrogen, having electronic configuration IS1, can be placed in s-block along with alkali metals but is placed separately at the top centre of the periodic table as shown in Fig. 3.1. This is due to the reason that hydrogen, like halogens, can gain an electron to achieve a noble gas configuration and hence it can behave like halogens also and can be grouped with them. Due to its resemblance with alkali metals as well as halogens, hydrogen is placed separately at the top of the periodic table. 2. The elements of group 18, the last column of p-block, are known as inert gases or noble gases or metals, non-metals and metalloids. More than 78% of the elements are metals. These elements are present on the left side and the centre of the periodic table. Metals are the elements which are malleable and ductile, possess lustre, are good conductors of heat and electricity and have high densities. Metals usually have high melting and boiling points, and are generally solids at room temperature. Mercury is the only metal which is liquid at room temperature. Gallium (303 K) and caesium (302 K) also have very low melting points. aerogens. 3. The elements and p-blocks are called only outermost shell incomplete. They are also known as representative ofs elements. They have their main group elements. Non-metals are much less in number than metals. There are only about 20 non-metals. Non-metals are located at the top right hand side of the Periodic Table. Non-metals have low melting and boiling points. They usually solids or gases at room temperature. Nonmetals are neither malleable nor ductile. They are poor conductors of heat and electricity. In a period, the nonmetallic character increases as we move from left to right. In a group, the non-metallic character decreases and metallic character increases on going down a group. There is no sharp line dividing metals from non-metals. A zig-zag line separates metals from non-metals as shown in Fig. 3.4. The borderline elements such as silicon, germanium, arsenic, antimony and tellurium exhibit characteristic properties of metals as well as non-metals. These elements are called semi-metals or 4. The elements of d-block are called d-transition elements. The name is derived from the fact that they represent transition (change) in character from reactive metals (elements of group 1 and 2) on one side and less active metals of groups 13 and 14 on the other side. 5. The elements of{-block are called (-transition or inner transition elements. In this group of elements outer three principal shells are incomplete. 6. The {-block elements after uranium are called transuranium elements. METALS, NON-METALS AND METALLOIDS S-, p-, metalloids. In addition to the classification of elements into d- and {-blocks, it is possible to divide them into Group Period 2 2 3 3 4 5 6 7 1 1 1 1 11 1 1 reml~ 1 1 1 1 1 As is evident from the electronic configurations: (i) leA receives last electrons in 3p sub-shell, therefore, its: period block = 3rd =p 10 + Number of valence electrons group. = 10 + 6 = 16. (ii) 37E receives last electrons in 5s-orbitals. Hence its: period - 5th block = group = Number = 1. 8 of valence electrons (iU) 30G receives last electrons in 3d-orbitals. Hence, its: block- d . Since its valence shell is 4th. Therefore, period group = 4th = Number of n s-electrons + Number of (n - 1) d-electrons = 2 + 10 = 12. Example :3.:3. Elements A, B, C, D and E have the following electronic configurations: A : 1s2 2s2 2pI B : 1s22s22p63s23pI C : 1s22s22p63s23p3 D : 1s22s22p63s23p5 E : 1s22s22p63s23p64s2 which among these will belong to the same group in the periodic table? The element with atomic number 119 has not been discovered. What would be the IUPAC name and symbol of this element? Also predict the electronic configuration, group number and period of this element. Solution. The IUPAC name for the element with atomic number 119 would be ununennium and its symbol would be Uue. The electronic configuration of this element would be [Uuo] Ssl. This element would belong to group-1 and period-So Example :3.1. Solution. The elements A and B have similar valence shell electronic configuration (ns2np1). Therefore, they belong to same group in the periodic table. M"i1iM,. Predict the position of the element in the Periodic Tii5le satisfying the electron configuration (n - l)dI ns2 forn =4. Solution. The electronic configuration of the element is 3d1 4s2• Thus, the element belongs to d-block, fourth period and group 3. Write the electronic configuration of the Example ::'2. elements given below and also predict their period, group and block. A (At. No. 16), E (At. No. 37) and G (At. No. 30). Solution. The electronic configurations A •• ls2 , 2S2, 2;p6, 3s2 , 3p4 1{Y'.a. of the elements are: : ls2, 2s2, 2p6, 3s2, 3p6, 3dlO, 4s2, 4p6, 5s1 30G : 1S2, 2S2, 2p6, 3s2, 3p6, 3d10, 4s2. 37E SET - 3.1 1. What is modem periodic law? What is periodicity and what is its cause? 2. What is the total number of groups in the long form of periodic table? 3 •. An element has atomic number period, group and block. 34. Deduce its 4. Write the general outer electronic configuration of s-, p-, d- and {-block elements. 5. Which groups constitute p-block of the periodic table? 6. An element has valence shell electronic configuration as ns2, np3 . To which group does this element belong? 7. In what group of the periodic table is each of the following elements found? (0 1s2, 2s2, 2p6, 3s2, &f1, 482 (ii) [Xe] 4f4 5d4 6s2 (iiO [Ar] 3d10 4s2 (iv) [Ar] 3d10, ~, 4p4. 8. Assign the position of the element having outer electronic configuration (i) ns2 np" for n = 3 (ii) (n - 1) d2 ns2 for n = 4 and (iii) (n - 2) [1(n - 1) d1 ns2 for n = 6, in the periodic table. 9. What would be the IUPAC name and symbol for the element with atomic number 120? (NCERT Solved Example) 10. How would you justify the presence of 18 elements in the 5th period of the periodic table? (NCERT Solved Example) 2. 18. Atomic volume is defined as the volume occ.upied by one mole atoms of the element at its melting point in solid state. A.tomic volume can be obtained by dividing the gram atomic mass of the element by its density. . I Gram atomic mass Atomic vo ume D' ensity = Variation of Atomic Volume in a Period Atomic volume decreases along the reaches a minimum in the middle and then increasing. Alkali metals have the maximum volume in a period. A plot of atomic volume atomic number is shown in Fig. 3.5. period, starts atomic versus 3. Period-4, group-16, block-t». 5. Groups-13, 14, 15, 16, 17 and 18. 6. Group. 15. 7. (i) 3 (ii) 6 8. (iii) 12 (i) Period-S, Group-16 (iv) 16 (ii) Period-s, Group-4 (iii) Period-B. Group-S, Lanthanoid. 9. Unbinillium, Ubn. Variation in a Group In moving down the group, the atomic volume goes on increasing gradually. Most of the properties of the elements such as atomic volume, atomic size, ionization enthalpy, electron gain enthalpy and electronegativity are directly related to the electronic configuration of the atoms. These properties undergo periodic variation with the change in the atomic number within a period or a group. These properties indirectly control the physical properties such as melting point, boiling point, density, etc. Let us now proceed to study the variation of some of the atomic properties in the periodic table. Example :l.5. The atomic mass of germanium is 72.6 and its density is 5.47 g cm:". What is the atomic volume of germanium? Solution. Atomic volume = Gram atomic maSs Density 72.6g = 5.47gcm- 3 13.27 cm3• = The atomic size is very important property ofthe atoms because it is related to many other chemical and physical properties. In dealing with atomic size, the atom is assumed to be a sphere and its radius determines the size. In general, atomic radius is defined as the distance from the centre of nucleus of the atom to the outermost shell of electrons. However, it is not possible to find precisely the radius of the atoms because of the following reasons: 1. Atom is too small to be isolated. . 2. Wave mechanical model of the atom does not allow us to have its well-defined boundary because probability of finding the electrons is never zero even at a very large distance from the nucleus. 3. The probability distribution of an atom is affected by the other atoms present in its neighbourhood. 4. Size of an atom also changes from one bonding state to another. Due to the above mentioned factors, size of atom varies from one kind of environment to another. It is for this reason that atomic size is expressed in terms of different types of radii. Some of these are being discussed below: 1. COVALENT Similarly internuclear distance between two chlorine atoms in chlorine molecule is 198 pm. Therefore, covalent radius of chlorine is 19812 = 99 pm. In case the covalent bond is between two unlike atoms such as in Hel the covalent radius is taken as the distance between the nucleus of the atom and the mean position of shared pair of electrons. +74 pm"": ,, ,, '' , ,i+--+' ' : Covalent , radius = 37 pm 2. VAN DER WAAL'S RADIUS It may be defined as half of the internuclear distance between two adjacent atoms of the same element belonging to two nearest neighbouring molecules of the same substance in solid state. Covalent radius of the elements is shorter than its van der Waal radius. The formation of covalent bond involves overlapping of atomic orbitals. As a result of this, the internuclear distance between the covalently bonded atoms is less than the internuclear distance between the non-bonded atoms. This has been shown in Fig. 3.7. Thus, r{cov.)< r(van der Waal) Adjacent Molecules in Solid State , r(COv), :+--+: , , ,, RADIUS 'Phe approximate radii of atoms can be determined by measuring the distance between the atoms in a covalent molecule by X-ray diffraction and other spectroscopic techniques. This radius of an atom is referred to as covalent radius. It may be defined as ,, , ,, ,, ~ r(~ander W~) one-half of the distance between the centres of the nuclei of two similar atoms bonded by a single covalent bond. In case of homonuclear rcovalent= 1 2" 3. METALLIC bonds, [Internuclear two bonded distance between atoms] For example, the internuclear distance between two hydrogen atoms in H2 molecule is 74 pm (Fig. 3.6). Therefore, the covalent radius of hydrogen atom is 37 pm. OR CRYSTAL RADIUS The term is applied for metals only. A metallic lattice is considered to be consisting of closely packed atoms which are spherical in shape. Metallic radius may be defined as halfofthe internuclear distance between two adjacent atoms in the metallic lattice. It is measured in angstrom units. Internuclear distances are measured by X-ray studies. The metallic radius of sodium is found to be 186 pm while that of copper is 128 pm. The metallic radius of an atom is always larger than its covalent radius because metallic bond is weaker than covalent bond. Therefore, two atoms held by covalent bond are closer to each other. For example, the metallic radius of sodium is 186 pm, whereas its covalent radius as determined from its vapours which exist as Na2 molecules is 154 pm. Similarly, metallic radius of potassium is 231 pm whereas covalent radius is 203 pm. VARIATION OF ATOMIC RADD IN TIlE PERIODIC TABLE Atomic radii usually depend upon nuclear charge and number of main energy levels of an atom. The periodic trends in atomic radii have been described as follows: (a) Variation in a Period In general, the atomic radii decrease with the increase in the atomic number in a period. For example, atomic radii decrease from lithium to fluorine in second period. The variation of atomic radii from lithium to fluorine has been shown graphically in Fig. 3.8. The decrease of atomic radii along a period can be explained on the basis of nuclear charge. In moving from left to right across the period, the nuclear charge increases progressively by one unit but the additional electron goes to the same principal shell. As a result, the electron cloud is pulled closer to the nucleus by the increased effective nuclear charge. This causes the decrease of atomic size. The atomic radii of elements of second period are given in Table 3.8. The values given in Table 3.8, show abrupt increase in the atomic size of Ne. This is due to the reason that the values for other elements are covalent radii whereas that for Ne it is van der Waal's radius because it does not form covalent bond. Therefore inert gas radii should be compared with the van der Waal's radii of other elements and not with the covalent radii. (b) Variation in a Group In general, the atomic radii increase from top to bottom within a group of the periodic table. For example, atomic radii increase from lithium to cesium among alkali metals and the similar trend is followed by halogens from fluorine to iodine as shown graphically in Fig. 3.9 and in tabular form in Table 3.9. 300 160 E 250 140 ~200 120 ~ 150 100 j Q. en::J '5 1\1 :> o Cl: 0 'E 0 <: 100 50 80 Atomic number (Zl Table 3.8. Atomic Radii of Elements of Second Period +3 +4 +5 +6 +7 +8 +9 + 10 152 111 88 77 75 74 72 160 Table 3.9. Variation of Atomic Radii of Group-I and Group-17 elements ': t1 ,..:l~.I4:"~~ , Radius Of cation' , ,, ,, Li Na K Rb Cs 152 186 231 244 262 F Cl Br I At 72 99 114 133 140 In moving down a group, from top to bottom, the nuclear charge increases with increase in atomic number but at the same time, there is a progressive increase in the principal energy levels. The number of electrons in the outermost shell, however, remains the same. Since, the effect of additional energy level is more pronounced than the effect of increased nuclear charge, therefore, the effective nuclear charge decreases. Consequently, the distance of the outermost electron from the nucleus increases on going down the group. In other words, the atomic size goes on increasing as we move down a group. ," .:, ,, , Internuclear distance The study of ionic radii leads to two very important generalisations: (a) The size of the cation is smaller as compared with that of the parent atom. (b) The size of the anion is larger as compared with that of the parent atom. (a) The radius of cation is smaller than that of the parent atom. In short, Atomic radii increase down the group. Atomic radii decrease across the period. flltJIONIC 11 Electrons 10 11 N. charge +11 186 pm size 98 pm IfllJJ_~WJ!IIj1lfllljfllll.I.~JJ~fl~ RADIUS Ions are formed when the neutral atoms lose or gain electrons. Apositive ion or cation is formed by the loss of one or more electrons by the neutral atom whereas a negative ion or anion is formed by the gain of one or more electrons by the atom. The term ionic radii refers to the size of the ions in the ionic crystals. Ionic radius may be defined as the effective distance from the nucleus of the ion to the point up to which it has an influence in the ionic bond. The equilibrium distance between the nuclei of the two adjacent ions can be determined by X-ray analysis of ionic crystals. Assuming ions to be spheres, the internuclear distance can be taken as the sum of the ionic radii of the adjacent ions (Fig. 3.10). Knowing the ionic radius of one of the ions, the ionic radius of other can be calculated. Cation is formed by the loss of one or more electron from the gaseous atom. Now, in the cation the nuclear charge remains the same as that in the parent atom but the number of electrons becomes less. As a result of this, the nuclear hold on the remaining electrons increases because of the increase in the effective nuclear charge per electron. This causes a decrease in the size. In many cases the formation of cation also involves the removal of the valence shell completely. For example, formation of Na" ion from Na atom involves the removal ofthird shell completely. This also results in the decrease in the size of the ion. Na 1s2, 2s2, 2p6, 3s1 The comparative sizes of certain atoms and their corresponding cations are given in Table 3.10. Table 3.10. Atomic and Ionic Radii of Some Elements 3Li uNa 19K 12Mg 20Ca IsM 152 186 231 143 Li+ Na+ K+ 78 98 133 160 197 Mg2+ Ca2+ Al3+ 78 106 57 (b) The radius of anion is larger than that of parent atom. Anion is formed by the gain of one or more electrons by the gaseous atom. In the anion, the nuclear charge is the same as that in the parent atom but the number of electrons has increased. Since same nuclear charge now acts on increased number of electrons, the effective nuclear charge per electron decreases in the anion. The electron cloud is held less tightly by the nucleus. This causes increase in the size. The relative sizes of chlorine atom and chloride ion have been shown in Fig. 3.12. arrangement. For example, each one. of sulphide (S2-), chloride (CI-) and potassium (K+) ion has eighteen electrons but they have different nuclear charge, + 16, + 17 and + 19 respectively. Variation of size among iso-electronic ions. Within the series of iso-electronic ions, as the nuclear charge increases, the attractive force between the electrons and nucleus also increases. This results in the decrease of ionic radius. In other words, size of the iso-electronic ions decreases with the increase in the magnitude of nuclear charge. For example, N3-, 02-, F-, Na+, Mg2+, Al3+ are iso-electronic and have 10 electrons each. The sizes of these ions are in the order: Mg 2+< Na" < F - < 02- < N3Mg2+having the highest nuclear charge (12 units) has the smallest size whereas N3 - ion having the smallest nuclear charge (7 units) has the largest size. Variation of size among these ions has been shown in Table 3.12. Table 3.12. Variation of Size Among lso-electronic Ions 17 Electrons 18 + 17 N. charge + 17 99 pm size 181 pm N3- 02- F- Na+ Mg2+ Al3+ +7 +8 +9 +11 + 12 + 13 10 10 10 10 10 10 171 140 136 98 78 57 The comparative sizes of some atoms and their corresponding anions are given in Table 3.11. Table 3.11. Atomic and Ionic Radii of Some Elements 17CI 35Br 531 sO 7N 99 114 133 74 75 Cl- Br- 1- 02- N3- 181 195 220 140 171 ISO-ELECTRONIC different o,er, IONS elements s«, Solution. In Na", F-, 02-, Mg2+,Al3+,the nuclear charges are 11, 9, 8, 12 and 13 respectively. Among isoelectronic species, greater the nuclear charge smaller is the size. Therefore, the sizes of the above ionic species are in the order: Al3+< Mg2+< Na+ < F- < ()2-. Select from each group the species which Example :1.7. has the smallest radius stating appropriate reason. (i) ()2(ii) K+, Sr2+ ,Ar The ions having Bame number of electrons but different magnitude of nuclear charge are called iso-eleetronie ions. In fact, these are the ions of The following species are isoelectronic Example a.f). with the noble gas neon. Arrange them in order of increasing size: F-, ()2-, Mg2+, AJ3+. having same electronic (iii) Si, P, Cl Solution. (i) The species 0 has the smallest radius because the radius of anion is always larger than the radius of the atom from which it is formed. 0- and 02- are anions of oxygen. (ii) K+has the smallest radius. In K+and Ar the outermost shell is third whereas in Sr2+it is fourth. Out of K+and Ar, K+has smaller size because it has greater nuclear charge. (iii) Cl has the smallest radius. Si, P and Cl belong to same period. In a period atomic radius decreases with increase in atomic number due to increase in effective nuclear charge. Example 3.8. Name a species that will be isoelectronic with each of the following atoms or ions: (i) Ne Solution. (ii) Cl- (iii) Ca2+ (iv) Rb Sodium ion, Na+ (ii) Potassium ion, K+ (UO Sulphide ion, S2(iv) Sr+ (i) Example 3.9. and why? Out of Na: and Na which has smaller size Solution. Na" has smaller size than Na. Na" is formed by removal of one electron from Na. Therefore, Na" has one electron less than Na. However, Na and Nat have same nuclear charge. Therefore, electrons in Na" are more tightly held than in Na. Moreover, removal of one electron from Na leads to complete removal of the third shell so that in Na+, the outermost shell is second. Hence, Nat has smaller size than Na. Example 3.10. Give examples of three cations and three anions which are isoelectronic with argon. Solution. Cations Anions K+, : CI-, Ca2+, S2-, Sc3+ p3-. SET- 3.2 1. Out of metallic radius and covalent radius of an 2. 3. 4. 5. 6. 7. element, which is larger and why? Why van der Waal's radius of an element is always larger than the covalent radius? Out of the following ions which has smallest ionic size? u-, Na+, K+ Arrange the following ions in the increasing order of their sizes. CI-, p3--,S2-, F Arrange the following sets of ions in the decreasing order of their sizes (i) A}3-, Mg2+,Na+, 02-, F (ii) Na+, Mg2+,K+. Out of I and 1+which has larger size and why? Which ofthe following species will have the largest and the smallest size? Mg, Mg2+,Al, Al3+. (NCERT Solved Example) It is a well known fact that the electrons in an atom are attracted by the positively charged nucleus. In order to remove electron from an atom, energy has to be' supplied to it to overcome the attractive force. This energy is referred to as ionization enthalpy, ~H. Thus, Ionization enthalpy of an element may be defined as the amount of energy required to remove the most loosely bound electron from its isolated gaseous atom in the ground state. A (g) ----+ A+ (g) + eAB = a.H Ionization enthalpy is a very important property which gives an idea about the tendency of an atom to form a gaseous positive ion. Units. Ionization enthalpy is expressed either in terms of electron volts per atom (eV/atom) or kilo Joules per mole of atoms (kJ mol=) 1 e V per atom = 96.49 kJ mot". SUCCESSIVE IONIZATION ENTHALPIES Once the first electron has been removed from the gaseous atom, it is possible to remove second and successive electrons from positive ions one after the other. For example, A (g) ----+ A+(g) + eA+(g) ----+ A2+(g) + eUnipositive ion A2+ (g) ----+ A3+(g) + e- Dipositive ion The amounts of energies required to remove most loosely bound electron from unipositiue, dipositive, tripositive ..... ions of the element in gaseous state are called second, third, fourth ...... ionization enthalpies respectively. The second (L\i~)' ionization enthalpies third (L\iHa), fourth (L\iH4)' etc. are collectively known as successive ionization enthaIpies. It may be noted that: ~Ha>~~>~Hl The variation in the values of successive ionization enthaIpies can be explained, in general, as follows: After the removal of first electron, the atom changes into monopositive ion. In the ion, the number of electrons decreases but the nuclear charge remains the same as in the parent atom. As a result of this, effective nuclear charge per electron increases. The remaining electrons are, therefore, held more tightly by the nucleus. Thus, more energy is required to remove the second electron. Hence, the value of second ionization enthalpy (L1iH2) is greater than the first (~Hl). Similarly, the removal of second electron results in the formation of divalent positive ion and the attraction between the nucleus and the remaining electrons increases further. This accounts for the progressive increase in the values of successive ionization enthalpies. If the removal of first, second or third electron also results in the removal ofthe valence shell, the next electron (which belongs to lower energy shell) will require very large amount of energy for its removal. For example, in sodium, the removal of first electron leads to the removal ofthird shell completely.Therefore, for sodium, L1iH2» L1iHr Na(g) - e- -----+ Na+(g); L1iHl= 495 kJ mol=! (2, 8, 1) (2, 8) Na+(g)- e- ----7 (2,8) Na2+(g); L1iH2 = 4581 kJ mol=! (2,7) The first, second and third ionization enthalpies of some elements are given in Table 3.13. Table 3.13. ~Hl' ~~ and ~1Is Values of Some Elements Li 520 7297 11810 Be 899.5 1757 14850 B 800.6 2427 3650 C 1086.4 2352 4619 N 1402 2860 4577 0 1314 3389 5301 FACTORS ON WIllCD IONIZATION ENTHALPY DEPENDS The ionization enthalpy depends upon the following factors: 1. Size of the atom; 2. Magnitude of nuclear charge; 3. Screening effect of the inner electron; 4. Penetration effect of the electrons; and 5. Electronic configuration. 1. Size of the Atom. The ionization enthalpy depends upon the distance between the electron and the nucleus, i.e., size of the atom. The attractive force between the electron and the nucleus is inversely proportional to the distance between them. Therefore, as the (3izeof the atom increases, the outermost electrons are less tightly held by the nucleus. As a result, it becomes easier to remove the electron. Therefore, ionization e,!-thalpy decreases with increase in atomic size. 2. Magnitude of Nuclear Charge. The attractive force between the nucleus and the electrons increases with the increase in nuclear charge provided their main energy shell remains the same. This is because, the force of attraction is directly proportional to the product of charges on the nucleus and that on the electron. Therefore, with the increase in nuclear charge, it becomes more difficult to remove an electron and, therefore, ionization enthalpy increases. 3. Screening Effect of the Inner Electrons. In multi-electron atoms, the electrons present in the outermost shell do not experience the completenuclear charge because of repulsive interaction of the intervening electrons. Thus, the outermost electrons are shielded or screened from the nucleus by the inner electrons. This is known as screening effect. If the number of electrons in the inner shells is large, the screening effectwill be large. As a result, the attractive interactions between the nucleus and outermost electrons will be less. Consequently, ionization enthalpy will decrease. Thus, if other factors do not change, an increase in the number of inner electrons tends to decrease the ionization enthalpy. 4. Penetration Effect of the Electrons. It is a well known fact that in case of multi-electron atoms, the electrons in the s-orbital have the maximum probability of being found near the nucleus and this probability goes on decreasing in case of p, d and f orbitals. In other words, s-electrons are more penetrating towards the nucleus than p-electrons. The penetration power decreases in a given shell (same value ofn) in the order: s > p > d > f. Now,ifthe penetration ofthe electron is more, it experiences less shielding effect by the inner electrons and will be held firmly. Consequently, ionization enthalpy will be high. This means that ionization enthalpy increases with increase in penetration power of the electrons. Thus, for the same shell, it is easier to remove the p-electrons in comparison to the s-electrons. 5. Electronic Configuration. It has been noticed that certain electronic configurations are more stable than the other. The atom having a more stable configuration has less tendency to lose the electron and consequently, has high value of ionization enthalpy. For example: (i) The noble gases have stable configuration (ns2np6). They have highest enthalpies within their respective (ii) The elements like N (ls2, 2s2, 2p,/, and P (ls2, 2s2, 2p6, ar, 3p,/, 3p/, ionization periods. 2p/, 2p/) 3p/) have configurations in which orbitals belonging to same sub-shell are exactly half-filled. Such configurations are quite stable and consequently, require more energy for the removal of electron. Hence, their ionization enthalpies are relatively high. (iii) The elements like Be (ls2, 2S2) and Mg (1s2, 2s2, 2p6, 3s2) have all the electrons paired. Such configurations being stable also result in the higher values of ionization enthalpies. VARIATION OF IONIZATION PERIODIC TABLE ENTHALPY IN THE Let us now, study the variation of ionization enthalpies across the period and along the group of representative elements on the basis of above factors. Variation Across the Period In general, the value of ionization enthalpy increases with the increase in atomic number across the period. This can be attributed to the fact that moving across the period from left to right, (i) nuclear charge increases regularly; (ii) addition of electrons occurs in the same energy level; Ciii) atomic size decreases. Thus, due to the gradual increase in nuclear charge and simultaneous decrease in atomic size, the attractive force between the nucleus and the electron cloud increases. Consequently, the electrons are more and more tightly bound to the nucleus. This results in the gradual increase in ionization enthalpy across the period. The ionization enthalpies of the elements of 2nd periods are given in Fig. 3.13. 2500 ....------------, 2000 (5 E ~ W 1500 Atomic number, Z On carefully exammmg the values given in Fig. 3.13, we find some exceptions within the period. These can be explained on the basis of other factors governing ionization enthalpy. For example, let us consider the ionization enthalpies for the elements of 2nd period. (i) There is an increase in ionization enthalpy from Li to Be. This is due to increased nuclear charge and smaller atomic size. (ii) There is a decrease in the value of ionization enthalpy from Be to B inspite of increased nuclear charge. The effect of increased nuclear charge is cancelled by (a) greater penetration of 2s electron as compared to 2p electron; (b) better shielding of 2p electrons by the inner electrons; and (c) relatively stable configuration of Be due to completely filled orbitals. Thus, 2p electron of boron is relatively less tightly held by its nucleus in comparison to 2s electrons of Be. tiii) There is a regular increase in ionization enthalpy from B to C to N. It is again due to gradual increase of nuclear charge and decrease of atomic size. (iv) There is slight decrease in ionization enthalpy from N to O. It is attributed to the relatively stable configuration of the nitrogen due to a half filled 2p-orbital. In the nitrogen atom, three 2p-electrons are present in different atomic orbitals (Hund's rule) whereas in the Table 3.14.Ionization Enthalpies of the Elements of 3rd Period 1 2 13 14 15 16 17 18 495 737 577 785 1062 999 1254 1579 oxygen atom, two of the four 2p-electrons are present in the same 2p-orbital resulting in an increased electronelectron repulsion. Therefore, it is easier to remove one of the 2p-electron from oxygen than it is, to remove one of the 2p-electrons from nitrogen. (u) There is an expected increase in ionization enthalpy from 0 to F to Ne. It may be noted that among the representative elements (elements of s and p-block) similar periodic trends are observed as among the elements of 2nd period. For reference the ionization enthalpies of the elements of 3rd period are given in Table 3.14. Variation in a Group The values of ionization enthalpies of elements decrease regularly with the increase in atomic number within a group. The values of ionization enthalpies of the elements of group 1 have been represented graphically in Fig. 3.14. 550 ....---------------, The decrease in the value of ionization enthalpy within the group can be explained on the basis of net effect of the following factors: As we move down the group there is: (i) A gradual increase in the atomic size due to progressive addition of new energy shells; (ii) Increase in the shielding effect on the outermost electron due to increase in the number of inner electrons. The nuclear charge also increases but the effect of increased nuclear charge is cancelled by the increase in atomic size and the shielding effect. Consequently, the nuclear hold on the valence electron decreases gradually and ionization enthalpy also decreases. The variation of first ionization enthalpy as a function of atomic number for elements with atomic number upto 60 have been shown in Fig. 3.15. The maxima in the curve represents noble gases which means that the ionization enthalpies of noble gases are highest within their periods. The minima in the curve represent alkali metals which implies that ionization enthalpies of alkali metals are the lowest within their respective periods. 2500 He Ne 500 -- 2000 'i "0 E ~ 450 @' __ 1500 'i (5 E Xe ~ 1000 400 500 350 0 30 40 Atomic number, Z 50 Na K 10 20 Rb 60 0 30 40 Atomic number, Z 50 60 Example ;~.l:t Out of Nar and Ne which has higher ionization enthalpy ? Explain why. Example :U 1. Consider configurations given below: the ground state electronic X: (ls2, 2s2, 2p5); Y: (ls2, 2s2, 2p4); Z: (1s2, 2S1); Q: (ls2, 2s2, 2p6, 3sI); R: (ls2, 2s2, 2p6). Pick up the correct answers. (i) Which of the above configuration is associated with highest and which is associated with lowest ionization enthalpy? (ii) Arrange these configurations in order of increasing ionization enthalpies. Solution. Elements X, Y, Z and R have 2nd shell as the valence shell. Thus, they belong to same period. Arranging their configurations in order of increasing atomic number, we have Z: 1s2, 2s1; Y: 1s2, 2s2, 2p4; X: 1s2, 2s2, 2p5; R: 1s2, 2s2, 2p6. Among these elements, the nuclear charge increases from (Z ~ Y ~ X ~ R). The ionization enthalpies would also increase in the same order. Thus, among these R should have highest value of ionization enthalpy and Z should have the least. Now, Z (1s2, 2s1) and Q (182, 2s2, 2p6, 3s1) belong to same group and Q lies below Z. Therefore, ionization enthalpy of Q is less than the ionization enthalpy of Z. The above arguments prove that: (i) Element with highest ionization enthalpy is R (182, 282, 2p8) Element with lowest ionization enthalpy is Q (lsi, 2s2, 2p8, 381) (ii) Arrangement enthalpy is: in order of increasing ionization Q<Z<Y<X<R. Examp\p :t l~. From each set, choose the atom which has the largest ionization enthalpy and explain your answer (i) F, 0, N. (ii) Mg, P, Ar. (iii) B, Al, Ga. Solution. (i) F has the highest ionization enthalpy among F, o and N because it has smallest size and highest nuclear charge. In general, ionization enthalpy increases as we go from left to right in a period. (ii) Ar (a noble gas) has the highest ionization enthalpy among the elements Mg, P and Ar because it has stable electronic configuration and maximum nuclear charge. (iii) B, Al and Ga belong to group-13. Among these elements B has the largest ionization enthalpy because on moving down a group, from top to bottom, ionization enthalpy decreases. B is the first element of group 13. Solution. Na" has higher ionization enthalpy than Ne. Na+ and Ne are isoelectronic species. However, the nuclear charge in Na" is more than in Ne. Hence, the electrons are more tightly held in Nat and it has higher ionization enthalpy. ",iiiiliW'. The 520 kJ moi+. Calculate ionization enthalpy of lithium is the amount of energy required to convert 70 mg of lithium atoms in gaseous state into Li: ions. Solution. Mass of lithium = 70 mg = 70 x 10-3 g =7xlO-2g Moles of lithium = 7 x ~0-2 = 1 x 10-2 mol. Energy required to convert 1 x 10-2 mol atoms of lithium in gaseous state into Li" ions = 520 x 1 x 10-2 = 5.2 IW. Exnmp!o :1.I:>. The ionization potential of hydrogen is 13.6 ev' Calculate the energy required to produce H+ ions from 0.5 g of hydrogen atoms. Solution. H(g) + 13.6 eV ~ H+(g) 1 eV = 96.49 kJ/mole 13.6 eV = 13.6 x 96.49 kJ/mole = 1312.3 kJ/mole . . Energy required to convert 1 g hydrogen atoms into ions = 1312.3 kJ Energy required to convert 0.5 g hydrogen atoms into ions = 1312.3 x 0.5 = 856.2 lW. Exam pip :t 1H. How do you explain that 31Ga has slightly higher ionization enthalpy than laM, although it occupies lower position in the group ? 1aAI: 1s2, 2s2, 2p6, 3s2, 3p1 1aGa: 1s2, 2s2, 2p6, 3s2, 3p6, adlO, 4s2, 4p1 In Ga, the 10 electrons present in ad-sub-shell do not shield the outer electrons from the nucleus effectively. As a result, effective nuclear charge in Ga increases. This explains why ionization enthalpy of Ga is slightly more than that of 1aAl. Solution. SI:'], - 3.3 1. Which element has the highest ionization enthalpy? 2. Among the alkali metals which element has the highest ionization enthalpy? 3. Arrange each of the following sets of elements in the increasing order of their ionization enthalpies: (i) 0, N, S (ii) C, N, (iii) Li, Be, Na (iv) Ne, He, Ar (v) Li, K, Ca, S, Kr. ° 4. Out ofNa (Z = 11) and Mg (Z = 12), which has higher second ionization enthalpy and why? 5. Explain why (i) per mole of atoms. For example, electron affinity of chlorine is - 348 kJ mol:", i.e., Cl(g) + e" ------t CI- (g) Ae~ =- 348 kJ. B has lower ionization enthalpy than Be (ii) 0 has lower ionization enthalpy than N and F? 6. The first ionization enthalpy (~iH) values of the third period elements, Na, Mg and Si are respectively 496, 737 and 786 kJ mol='. Predict whether the first ~iH value for AI will be more close to 575 or 760 kJ mor? ? Justify your answer. (NCERT Solved Example) ",, ELECTRON GAIN ENTHALPY We have already learnt that ionization enthalpy is a measure of the tendency of the atom to form cation. In the similar way, the tendency of a gaseous atom to form anion is expressed in terms of electron gain enthalpy. Electron gain enthalpy of an element may be defined as the enthalpy change taking place when an isolated gaseous atom of the element accepts an electron to form a monovalent gaseous anion. The process can be expressed as : X(g) + e- ------t X-(g) MI = AegH Depending on the element, the process of adding an electron can be either exothermic or endothermic. The magnitude of electron gain enthalpy measures the tightness with which the atom can hold the additional electron. The large negative value of electron gain enthalpy reflects the greater tendency of an atom to accept the electron. For example, the elements of group-17 (the halogens) have very high negative electron gain enthalpies because they can attain stable noble gas electronic configuration by gaining an electron. Thus, halogens have great tendency to accept an electron. On the other hand, the elements of group-18 (the noble gases) have large positive electron gain enthalpies because the additional electron goes to the next principal shell resulting in a very unstable electronic configuration. Units. The values of electron gain enthalpy are expressed either in electron volt per atom or kilo joules FACTORS AFFECTING ELECTRON GAIN ENTHALPY Some of the important factors which affect electron gain enthalpy are discussed below: 1. Nuclear Charge. Greater the magnitude of nuclear charge greater will be the attraction for the incoming electron and as a result, larger will be the negative value of electron gain enthalpy. 2. Atomic Size. Larger the size of an atom is, more will be the distance between the nucleus and the additional electron and smaller will be the negative value of electron gain enthalpy. 3. Electronic Configuration. Stable the electronic configuration of an atom is, lesser will be its tendency to accept the electron and larger will be the positive value ofits electron gain enthalpy. For example, the elements having completely filled sub-levels of the valence shell have relatively stable configurations and consequently, possess large positive values of electron gain enthalpy. Table 3.1S. Electron 1 2 3 Gain Enthalpies H He + 48 Li -60 Be + 240 0 -141 Na Mg + 230 F Ne - 328 + 116 Cl -349 Ar -200 S + 96 .K -48 Se Br Kr -195 -325 + 96 5 Rb -47 Te -190 I -295 Xe +77 6 Cs -46 -174 -270 4 VARIATION OF ELECTRON GAIN ENTHALPY IN THE PERIODIC TABLE Since experimental determination of electron gain enthalpy is not as easy as that of ionization enthalpy, the sufficient data regarding electron gain enthalpies is not available. Consequently, the varying trends of electron gain enthalpies are not well defined. The electron gain enthalpies of some elements are given in Table 3.15. in a Period On moving across the period, the atomic size decreases and nuclear charge increases. Both these factors result into greater attraction for the incoming electron, therefore, electron gain enthalpies tend to become more negative as we go from left to right across a period. However, some irregularities are observed among the elements of group 2, group 15 and group 18. These can be explained on the basis of electronic configuration. Group 2 elements have filled ns subshell, group 15 elements have a half filled np subshell and group 18 elements have all sub shells filled. These electronic configurations are relatively stable and hence these elements have positive or very low negative electron gain enthalpies. Variation (kJ mol-I) -73 - 53 Variation of Some Elements Down a Group On moving down a group, the atomic size as well as nuclear charge increases. But the effect of increase Rn . + 68 in atomic size is much more pronounced than that of nuclear charge and thus, the additional electron feels less attraction. Consequently, electron gain enthalpy becomes less negative on going down the group. Let us now examine the values of electron gain enthalpies of halogens as shown in Table 3.15. It may be noted that the electron gain enthalpy becomes less negative as we go from chlorine to bromine to iodine. However, as we move from fluorine to chlorine the electron gain affinity becomes more negative whereas reverse was expected. This is because when an electron is added to fluorine atom, it goes to the relatively compact second energy level. As a result, it experiences significant repulsion from the other electrons present in this shell. On the other hand, in • chlorine atom, the added electron goes to the third energy shell which is relatively larger. Hence, it experiences less electron-electron repulsion. Therefore, electron gain enthalpy of fluorine is less negative as compared with chlorine. The unexpected trend is observed in case of many other elements of third period as their electron gain enthalpies are more negative than those of the elements of second period. SUCCESSIVE ELECTRON GAIN ENTHALPIES When the first electron is added to the gaseous atom, it forms a uninegative ion and the enthalpy change during the process is called first electron gain enthalpy. Now, if an electron is added to the uninegative ion, it experiences a repulsive force from the anion. A1?, a result, the energy has to be supplied to overcome the repulsive force. Thus, in order to add the second electron, the energy is required rather than released. Therefore, the value of second electron gain enthalpy is positive. Similarly, addition of third, fourth electrons, etc., also requires energy. Hence, the values ofsuccessive electron gain enthalpies are positive. For example, let us study the addition of electrons to oxygen atom O(g) + e" -----7 O-(g) 8H = (AegH)l = - 141 kJ (i) Which element has highest negative .1egH? (ii) Which element has lowest negative .1eJI? 6. In each of the following sets, arrange the elements in the increasing order of their negative electron gain enthalpies: ° . (i) C, N, (ii) 0, N, S (iii) S, Cl, Ar (iv) F, CI,_Br. 7. Which of the following will have the most negative electron gain enthalpy and which the least negative? P, S, Cl, F. Explain your answer. (NCERT Solved Example) 02-(g) 8H = (A~)2 = + 780 kJ altj ELECTRONEGATIVITY How much energy, in kJ, is produced when 7.1 g of chlorine, in the form of Cl atoms, is converted to Clions in gaseous state ? Electron gain enthalpy of chlorine is - 3.7 eV. Example Solution. :U7. 71 mol = 0.2 mol 35.5 1 eV = 96.49 kJ mol! 7.1 g of chlorine = Energy produced during conversion of 1mole of CI(g) to CI- = 3.7 x 96.49 kJ = 357.01 kJ Energy produced during conversion of 0.2 mole of Cl(g) to Cl- = 357.01 x 0.2 = 71.4 kJ. S/~'T - :1.1 1. Why halogens have highest negative electron gain enthalpies in their respective periods ? a Why noble gases have largest positive electron gain enthalpies in their respective periods? 3. Comment on the statement that "all elements having high ionization enthalpies also have high negative electron gain enthalpies." 4. Out of oxygen and sulphur, which has greater negative electron gain enthalpy and why? 5. Consider the electronic configurations elements X, Y and Z and answer. X: 1s2, 2s2, 2p/, 2p/ Y : 182, 282 ''Yx' 2n 2 2n 1 2n 1 'Yy' 'Yz Z : 182,282, 2p/, 2p/, 2p/ of the Electronegativity may be defined as the tendency of an atom in a molecule to attract towards itself the shared pair of electrons. It may be mentioned here that unlike ionization enthalpy and electron gain enthalpy, electronegativity is not a measurable quantity. However, in order to compare the electronegativity values of different elements a number of numerical scales of electronegativity of elements have been proposed. The most common and widely used scale of electronegativity is the Pauling scale. Pauling's scale of electronegativity is based on excess bond energies. It is observed that the energy of a heteropolar bond A - B is generally greater than the average arithmetic mean value of the homopolar bond energies for A - A and B - B bonds. DA_B 1 = "2 IDA-A + DB_B] + AAB The excess bond energy AAB is related to the electronegativities of elements A and B (XA and XB) as XA - XB = 2.208 ~AAB By assigning arbitrary value of electronegativity to one of the elements, the electronegativity ofthe other can be calculated. Electronegativity of fluorine, the most electronegative element, is arbitrarily taken as 4.0 in this scale. The main factors on which the electronegativity depends are effective nuclear charge and atomic radius. ..., Table 3.16. Electronegativity Values of Elements Li Be B C N o F 1.0 1.5 2.0 2.5 3.0 3.5 4.0 Na Mg AI Si p S Cl 0.9 1.2 1.5 1.8 2.1 2.5 3.0 • Greater the effective nuclear charge greater is the electronegativity. • Smaller the atomic radius greater is the electronegativity. The electronegativity of any given element is not constant but varies depending on the element to which it is bound. In a period electronegativity increases in moving from left to right. This is due to the reason that nuclear charge increases whereas atomic radius decreases as we move from left to right in a period. Halogens have the highest value of electronegativity in their respective periods. The eleetronegativity values (on Pauling scale) of elements of second and third periods are listed in Table 3.16. In a group electronegativity decreases on moving down the group. This is due to the effect of increased atomic radius. For example, among halogens fluorine has the highest electronegativity. In fact, fluorine has the highest value of electronegativity among all the elements. The electronegativity values (on Pauling scale) of group 1 and group 17 elements are given in Table 3.17. Table 3.17. Electronegativity Values of Group-1 and Group-17 Elements Li Na K Rb Cs 1.0 0.9 0.8 0.8 0.7 F Cl Br I At of Second and Third Periods 4.0 3.5 2.8 2.5 2.2 Relationship between Electronegativity and Nonmetallic (or Metallic) Character of an Element Non-metallic elements have strong tendency to gain electrons. Therefore, electronegativity is directly related to the non-metallic character of elements. We can also say that the electronegativity is inversely related to the metallic character of elements. Thus, the increase in electronegativities across a period is accompanied by an increase in non-metallic character (or decrease in metallic character) of elements. Similarly, the decrease in electronegativity down a group is accompanied by a decrease in non-metallic character (or increase in metallic character) of elements. _ ELECTROPOSITIVITY OR METALLIC CHARACTER Tendency of atoms of an element to lose electrons and form positive ion is known as electropositivity. A more electropositive element has more metallic character. In a period, from left to right electropositivity decreases. This is due to increase in ionization enthalpy along a period which makes loss of electrons difficult. For example, in the second period, lithium and beryllium are metals. Boron is a semimetal whereas carbon, nitrogen, oxygen and fluorine are non-metals. In a group, from top to bottom electropositivity increases. This is due to decrease in ionization enthalpy on going down a group. If we consider the elements of group 14, we find clear increase in metallic character (electropositive character) on moving down the group. In this group the first two elements (Carbon and Silicon) are nonmetals, the third element (Germanium) is a metalloid whereas the next two elements (Tin and Lead) are metals. The periodic trends of various physical properties are given in Fig. 3.16. ---~ '".•._/-';:.., ~ ....•.~ _=... ~~ -". + ~ r e-- r- I- I-I- I-- SET - 3..) Fxample s.rs. Arrange the following irtcreasing order of metallic character: . B,At, Mg, K elements in the Solution. Metallic character increases on moving down the group and decreases on going across a period from left to ~ght. Hence, the order of increasing metallic character is ';, B < AI < Mg< K. Example 3.19. Arrange the following i1l{;reasing order of non metallic character: i" , B, C, Si, N, F elements in the ~lution. Non-metallic character increases across a period frOlll left to right and decreases on moving down the group frt)m top to bottom. Hence, the order of increasing non~tallic character is Si < B < C < N < F. 1. What is the trend of metallic character on going down from top to bottom in a group? 2. (i) The element with highest electronegativity belongs to group and period . (ii) In the third period, the element with highest electronegativity is . 3. Define electronegativity. How does it vary along a period and along a group? 4. What is the basic difference between the terms electron gain enthalpy and electronegativity? 5. How would you react to the statement that the electronegativity of N on Pauling scale is 3.0 in all the nitrogen compounds? Example 3.20. (i) (ii) (iii) (iv) Solution. enthalpy. (ii) enthalpy. (iii) Among the elements B, Al, C and Si Which has the highest first ionization enthalpy? Which has the most negative electron gain enthalpy? Which has the largest atomic radius? Which has the most metallic character? (i) Carbon (C) has the highest first ionization Carbon (C) has the most negative electron gain Aluminium (Al) has the largest atomic radius. (iv) Aluminium (Al) has the most metallic character. The chemical properties of elements depend on the electronic configuration and the various atomic properties such as atomic size, ionization enthalpy, electron gain enthalpy. In the following sections we will study the variation of some of the chemical properties in the periodic table. The valence of an element may be defined aB the combining capacity of element. Valence is generally expressed in terms of the number of hydrogen atoms' or the number of chlorine atoms or double the number of oxygen atoms that combine with an atom of the element. The chemical properties of the elements usually depend upon the number of electrons present in the outermost shell of their atoms. The electrons present in the outermost shell are called valence electrons and these electrons determine the valence of the atom. In case of representative elements, the valence is generally equal to either the number of valence electrons or eight minus the number of valence electrons. However, the transition elements, exhibit variable valence. Table 3.18 shows the valencies of the elements of 2nd and 3rd periods. The valencies of the elements have been shown in brackets. Variation in a Group On moving down a group, the number of valence electrons remains same and, therefore, all the elements in a group exhibit same valence. For example, all the elements of group 1 have valence equal to 1 and those of group 2 have valence equal to 2. Example :t21. Predict the formulas of the stable binary compounds that would be formed by the following pairs of elements: (i) silicon and oxygen (ii) aluminium and bromine (iii) calcium and iodine (iv) element 114 and fluorine VARIATION OF VALENCE IN THE PERIODIC TABLE (v) element 120-and oxygen. Variation in a Period The number of valence electrons increases from 1 to 8 on moving across a period, the valence to the elements with respect to hydrogen and chlorine increases from 1 to 4 and then decreases from 4 to zero. Solution. (i) Silicon belongs to group 14. Its valence is 4. The valence of oxygen is 2. Thus, the binary compound between silicon and oxygen would have formula Si02• (ii) Aluminium belongs to group 13. Its valence is 3. The valence of bromine is 1. Thus, the binary compound between aluminium and bromine would have formula AlBrs. Table 3.1S. Variation of Valence of Elements of Second and Third Periods Element of second period B Li Be C N ° F Valence with respect to H LiH BeH2 BHs CH4 NHs H2O HF (1) (2) (3) (4) (3) (2) (1) Valence with respect to Cl LiCI BeCl2 BCIs CCl4 NCIs Cl20 CIF (1) (2) (3) (4) (3) (2) (1) Si P 8 Cl Elements of third period Mg Al Na Valence with respect to H NaH MgH2 AlHs 8iH4 PHs ~8 HCI (1) (2) (3) (4) (3) (2) (1) 8i02 P205 8°3 Cl207 (6) (7) Valence with respect to 0 MgO Al20S Na20 (1) (2) (3) (4) (5) tiii) Calcium belongs to group 2. Its valence is 2. The valence of iodine is 1. Thus, the compound between calcium and iodine would have formula C~. The element (M) with atomic number 114 belongs to group 14. It will exhibit valence of2 (due to inert pair effect) and 4. The stable binary compound between this element and fluorine would have formula MF 2' (iv) (u) The element (X) with atomic number 120 belongs to group 2. Its valence would be 2. The valence of oxygen is 2. Thus, the formula of the compound between this element and oxygen would have formula XO. The normal oxides of the elements at the extreme left of the periodic table are most basic in nature. On the other hand, the elements at the extreme right react with oxygen to form most acidic oxides. Oxides of the elements in the centre are amphoteric or neutral. For example, Na20 is strongly basic whereas Cl207 is strongly acidic. Al20S is amphoteric while CO, NO and N20 are neutral. A basic oxide when dissolved in water gives basic solution whereas an acidic oxide gives an acidic solution. For example, PERIODIC TRENDS AND CHEMICAL REACTIVITY N~O(s) We have already studied the periodic trends in the various fundamental properties such as atomic and ionic radii, ionization enthalpy, electron gain enthalpy, electronegativity and valence. The periodic trends in these properties can be explained on the basis of electronic configuration of the elements. The chemical reactivity of elements can be related to the fundamental properties of elements. As already discussed the ionization enthalpy is least for the element at the extreme left of the period and the electron gain enthalpy is most negative for the element at the extreme right of the period (For group17 elements), the elements of group-18 have positive electron gain enthalpies due to their stable electronic configurations. As a result the chemical reactivity is maximum at the two extremes and lowest in the centre. The extreme reactivity of group-1 elements is due to the ease with which these elements can lose an electron leading to the formation of corresponding cation. On the other hand the reactivity of halogens is due to the ease with which these elements can gain an electron to form the corresponding anion. Thus, elements at the extreme left exhibit strong reducing behaviour whereas the elements at the extreme right exhibit strong oxidizing behaviour. + H20(l) ~ Basic oxide 2NaOH(aq) A strong base C1207(l) + ~O(l) 2HCIOiaq) ~ Acidic oxide A strong acid An amphoteric oxide exhibits acidic behaviour in the presence of bases and basic behaviour in the presence of acids. A neutral oxide exhibits neither acidic nor basic properties. The amphoteric nature of aluminium evident from the following reactions : 2AlCls(aq) + 3~O(l) Al20is) + 2NaOH(aq) + 3H20(l) ~ 2Na[Al(OH)41 (aq) Al20S(s) + 6HC1(aq) ~ The acid-base nature of oxides of third period elements is listed in Table 3.19. From Table 3.19 it is clear that as the metallic character of the elements decreases from left to right across the period, their oxides change from basic to amphoteric to acidic. Oxides of metals are usually basic while that of non-metals are acidic. It may be noted that the metallic character of elements increases from top to bottom in a group of representative elements, therefore, the basic character of oxides increases on descending a group. Table 3.19. Acid-base Nature of Oxides of the Third Period Elements MgO Basic Basic oxide is Amphoteric Acidic Acidic Acidic Acidic Example :"t22. basic oxide while Show by a chemical reaction that MgO is is an acidic oxide. P4010 Solution. MgO reacts with aqueous HCI to form salt and water thus exhibiting it basic character MgO(s) + 2HCl(aq) ~ MgCliaq) + H20(l) P40lO reacts with water to form phosphoric acid PPlO(s) + 6H20(1) ~ 4H3POiaq) The solution turns blue litmus red. ANO~OUSPROPERTmSOF SECOND PERIOD ELEMENTS AND DIAGONAL RELATION· SIDP It is observed that the first member of each group (the element in the second period from lithium to fluorine) differs in many respects from the rest of the members of the same group. For example, lithium unlike other alkali metals forms predominantly covalent compounds. The other members of group-l form predominantly ionic compounds. Similarly, beryllium forms compounds which have predominant covalent character while the other member of group-2 form compounds having predominant ionic character. The difference in the behaviour of the first member of a group in the s- and p-blocks compared to the other members in the same group can be attributed to the following factors: (i) Small atomic size of the first element " tii) Large charge/radius ratio (iii) High electronegativity (iv) Absence of d-orbitals in the valence shell of the first element. The first element in each group of s- and p-blocks has second energy level as the valence shell and hence has only four valence orbitals available for bonding. As a result, the maximum covalency of the first member of each group is 4. On the other hand the other members of each group also have vacant d-orbitals in the valence shell. Hence these members can expand their covalency beyond 4, through participation of d-orbitals in bond formation. (v) Ability to form pn-ptt multiple bonds. The first member of each group of p-block elements has great tendency to form ptt-pt: multiple bonds to itself and to the other second period elements. For example, carbon forms bonds of the type, C = C, C == C, C = 0, C == N, etc. This property ofthese elements is due to their small size. The higher members of the group have little tendency to form ptt-pt: bonds. DIAGONAL RELATIONSIDP Another trend in the chemical behaviour of the representative elements is the diagonal relationship. It is observed that an element of the second period exhibits certain similarities with the" second element of the following group. For example, lithium resembles magnesium and beryllium resembles aluminium in some respects. This type of similarity is referred to as diagonal relationship. Li Be B C N~M~Al~Si Thus, diagonal relationship is the similarity between a pair of elements in different groups and different periods and located diagonally in the periodic table. In moving along the period from left to right, the electronegativity increases while in descending a group electropositivity of the elements increases. These two effects tend to cancel each other in moving diagonally from top left to bottom right. Therefore, the elements diagonally related in this way tend to have similar properties. They form similar compounds though, the valency is different. Sometimes the diagonal relationship is explained Ionic charge ] in terms of polarizing power [ (I· di )2. OIDC ra lUS On moving along a period, the charge on the ions increases while ionic size decreases hence polarizing power increases. On moving down the group the ionic size increases and hence polarizing power decreases. On moving diagonally these two effects cancel each other to some extent and hence properties remain similar. SHT - :1.(; 1. How does valence vary in a period for representative elements? 2. Predict the formulae of the stable binary compounds that would be formed by the combination of the following pairs of elements: (i) Lithium and oxygen (ii) Magnesium and nitrogen (iii) Aluminium and iodine Silicon and oxygen (v) Phosphorus and fluorine (vi) Element 71 and fluorine. 3. Explain why the reactivity of elements of group-1 increases on descending the group while that of group-17 elements increases. 4. Predict the formulas of compounds which might be formed by the following pairs of elements; (i) silicon and bromine (ii) aluminium and sulphur. (NCERT Solved Example) 5. Show by a chemical reaction with water that N~O is basic oxide and C~07 is an acidic oxide. (NCERT Solved Example) (iv) 6. Give examples of three neutral oxides. 7. Give examples of three amphoteric oxides. 8. How does an amphoteric oxide differ from a neutral oxide? 9. Explain why the first member of each of the groups of representative elements exhibits anomalous properties. 10. Explain why properties of lithium are somewhat different from the properties of the other members of the group-L 11. Name the element relationship with Be. which shows diagonal 3.1. What is the basic periodic table? theme of organisation in the Solution. The basic theme of organisation of elements in the periodic table is to facilitate the study of the properties of all the elements and their compounds. On the basis of similarities in chemical properties, the various elements have been divided into different groups. This has made the study of elements simple because their properties are now studied in the form of groups rather than individually. 3.2. Which important classify the elements stick to that? property did Mendeleev use to in his periodic table and did he Solution. Mendeleev used atomic weight as the basis of classification of elements in the periodic table. He arranged the then known elements in order of increasing atomic weights grouping together elements with similar properties. Mendeleev relied on the similarities in the properties of the compounds formed by the elements. He realized that some of the elements did not fit in with his scheme of classification if the order of atomic weight was strictly followed. He ignored the order of atomic weights and placed the elements with similar properties together for example, iodine with lower atomic weight than tellurium (Group VI) was placed in group VII along with fluorine, chlorine, etc., because of similarities in properties. Thus, Mendeleev did not stick strictly to arrangement of elements in the increasing order of atomic weight. 3.3. What is the basic difference in approach Mendeleev's Periodic Law and the Modern Law? between Periodic Solution. Mendeleev Periodic Law states that the properties of the elements are a periodic function of their atomic weights whereas Modern Periodic Law states that the Properties of elements are a periodic function of their atomic numbers. Thus, the basic difference in approach between Mendeleev's Periodic Law and Modem Periodic Law is the change in basis of arrangement of elements from atomic weight to atomic number. 3.4. On the basis of quantum numbers, justify that the sixth period of the periodic table should have 32 elements. Solution. In the modem periodic table, each period starts with the filling of a new principal energy level. Thus, the sixth period begins with the filling of 6s orbital and continues till the filling of seventh energy level starts. According to Aufbau rule the subshells which follow 6s are 4f, 5d, 6p, 7s. Therefore, in the 6th period,electrons can be filled in only 6s, 4{, 5d, and 6p-subshells. Now s-subshell has two, p-subshell has three, d-subshell has five and f-subshell has seven orbitals. Hence, in all there are 16 orbitals that can be filled in this period which, at the maximum, can accommodate, 32 electrons and therefore, sixth period has 32 elements. 3.5. In terms of period and group, locate the element with Z = 114? where would you Solution. The element with atomic number 114 would have the electronic configuration 861Rn]5f46d1O, 7s2 6p2. Thus, the element belongs to : Period 7, group-14 and block p. 3.6. Write the atomic number of the element in the third period and seventeenth group of the periodic table. Solution. The elements of group-17 (halogens) have ns2 np5 valence shell electronic configuration. The element of group17 belonging to third period would have valence shell electronic configuration 3s23p5. The complete electronic configuration of this element would be lr, 2s2, 2p6, 382, 3p5. There are 17 electrons in it. Hence, the atomic number of the element in the third period and group-17 is 17. 3.7. Which element do you think would have been named by (i) Lawrence Berkeley Laboratory (ii) Seaborg's group? Solution. (i) Berkelium (Bk) (ii) Seaborgium (Sg) 3.S. Why do elements in the same group have similar physical and chemical properties? Solution. Elem~nts in the same group have similar valence shell electronic configuration and hence have similar physical and chemical properties. 3.9. What does atomic you? radius or ionic radius mean to Solution. Atomic radius gives us idea about size of the atom. Atomic radius may be taken as the distance between the centre of the nucleus and the outermost shell of the atom. It can be measured either by X-ray or by spectroscopic methods. The ionic radius tells us about size of the ion. It is defined as the distance between centre of the nucleus and the point upto which the ion has influence in the ionic bond. 3.10. How do atomic radii vary in a period group? How do you explain the variation? and in a Solution. Within a group, the atomic radius increases down the group. This is because a new energy shell is added at each succeeding element while the number of electrons in the valence shell remains the same. In other words, the electrons in the valence shell of each succeeding element lie farther and farther away from the nucleus. As a result, the force of attraction of the nucleus for the valence electrons decreases and hence the atomic size increases. On the other hand, the atomic size decreases as we move from left to right in a period. This is due to the reason that within a period the valence shell remains the same shell but the nuclear charge increases by one unit at each succeeding element. Due to this increased nuclear charge, the attraction of the nucleus for the outer electrons increases and hence the atomic size decreases. 3.11. What do you understand by isoelectronic species? Name the species that will be isoelectronic with each of the following atoms or ions. (i) F(ii) Ar (iii) Mg2+ (iv) Rb+ Solution. The species which have the same number of electrons but different magnitude of the nuclear charge are called isoelectronic species. (i) F- has 10 (9 + 1) electrons. The species nitride ion, N3-(7 + 3); oxide ion, 02- (8 + 2); neon, Ne (10 + 0); sodium ion, Na" (11 - 1) ; magnesium ion, Mg2+ (12 - 2); aluminium ion, Al3+(13 - 3), are isoelectronic with it. (ii) Ar has 18 electrons. The species phosphide ion, p3(15 + 3), sulphide ion; S2- (16 + 2); chloride ion, CI(17 + 1), potassium ion, K+ (19 - 1), calcium ion, Ca2+(20 - 2) are isoelectronic with it. (iii) Mg2+has 10 (12 - 2) electrons. The species nitride ion, N3- (7 + 3); oxide ion, 02- (8 + 2) and sodium ion, Na" (11 - 1) are isoelectronic with it. (iv) Rh" has 36 (37 - 1) electrons. The species bromide ion, Br" (35 + 1), krypton, Kr (36 + 0) and strontium Sr2+ (38 - 2) each one of which has 36 electrons, are isoelectronic with it. 3.12. Consider the following Mgz+ and AI3+-. (a) species. :N3-, ()2-, F-, Na+, What is common in them? Arrange them in order of increasing ionic radii? Solution. (a) Each one ofthese ions contains 10 electrons and hence these are isoelectronic ions. (b) The ionic radii of isoelectronic ions decrease with the increase in the magnitude of the nuclear charge. Among (b) the isoelectronic ions: N3-, 02-, F-, Na", Mg2+and Al'", nuclear charges increase in the order: N3- < 02- < }r < Na" < Mg2+< Al3+.Therefore, their ionic radii decrease in the order: N3- > Q2- >}r > Na" > Mg2+> Al3+. 3.13. Explain why cations are smaller and anions larger in radii than their parent atoms. are Solution. The ionic radius of a cation is always smaller than the parent atom because a cation is formed by loss of one or more electrons by the neutral atom. The loss of one or more electrons increases the effective nuclear charge. As a result, the force of attraction of nucleus for the electrons increases and hence the ionic radii decrease. In contrast, the ionic radius of an anion is always larger than its parent atom because an anion is formed by addition of one or more electrons to the neutral atom. The addition of one or more electrons.decreases the effective nuclear charge. As a result, the force of attraction of the nucleus for the electrons decreases and hence the ionic radii increase. 3.14. What is the significance of the terms 'isolated gaseous atom' and 'ground state' while defining the ionization enthalpy and electron gain enthalpy? Solution. Ionization enthalpy is the minimum amount of energy required to remove the most loosely bound electron from an isolated gaseous atom in ground state, so as to convert it into a gaseous cation. Electron gain enthalpy is the energy released when an isolated gaseous atom in the ground state accepts an extra electron to form the gaseous negative ion. The force with which an electron is attracted by the nucleus of an atom is appreciably affected by presence of other atom within its molecule or in the neighbourhood. Therefore, for the purpose of determination of ionization enthalpy and electron gain enthalpy it is essential that these interatomic forces of attraction should be minimum. Since in the gaseous state, the atoms are widely separated, therefore, these interatomic forces are minimum. It is because of these reasons, that the term isolated gaseous atom has been included in the definition of ionization enthalpy and electron gain enthalpy. The term ground state here means that the atom must be present in the most stable state, i.e., the ground state. The reason being that when the isolated gaseous atom is in the excited state, less amount of energy is required to remove the outer most electron. Similarly, less amount of energy is released when an electron is added to the atom in excited state. Therefore, for comparison purposes, the ionization enthalpies and electron gain enthalpies of gaseous atoms must be determined in their respective ground states. 3.15. Energy of an electron in the ground state of the hydrogen atom is - 2.18 x 10-18 J. Calculate the ionization enthalpy of atomic hydrogen in terms of kJmol-1• Solution. The energy required to remove an electron in the ground state of hydrogen atom = E~- El = 0 - El = - (- 2.18 X 10-18 J) = 2.18 x 1018 J. .. Ionization enthalpy per mole of hydrogen atoms 18 = 2.18 x 10 = x 6.02 x 1023 kJ mol-l 1000 1312.36 kJ mol'; 3.16. Among the second period elements, the actual ionization energies are in the order: Li < B < Be < C < 0 <N <F<Ne. Explain why (i) Be has higher ~H than B (ii) 0 has lower ~H than N and F ? Solution. (i) In case of Be (ls2 2s2) the outermost electron is present in 2s-orbital while in B(1s22s2 2pl) it is present in 2p-orbital. Since 2s-electrons, due to greater penetration, are more strongly attracted by the nucleus than 2p-electrons, therefore, more amount of energy is required to knock out a 2s-electron than a 2p-electron. Consequently, t1;H of Be is higher than that t1!l of B. . (ii) The electronic configuration 2p; 2p!) in which is more stable than 2p-orbitals the are electronic of N(1s2 282 2p! exactly half-filled configuration of 0(1s2 2s2 2p! 2p; 2p;) in which the 2p-orbitals are neither half-filled nor completely filled. Therefore, it is difficult to remove an electron from N than from O. As a result, i1;H of 0 is less than that ofN. Because of higher nuclear charge (+ 9) and smaller atomic size, the first ionization enthalpy of F is higher than that of O. Therefore, ionization enthalpy of 0 is less than that of N as well as that of F. 3.17. How would you explain the fact that the first ionization enthalpy of sodium is lower than that of magnesium but its second ionization enthalpy is higher than that of magnesium? Solution. Na Na" 1s2, 282, 2p6, 3s1 1s2, 2s2, 2p6 + e- ,\H1 Mg Mg+ +e 2 2 2 2 1 18 ,28 , 2p6, 3s 1s , 2s2, 2p6, as The first ionization enthalpy ofMg is higher than that of Na because it has greater nuclear charge, smaller atomic size and stable electronic configuration. However, the second ionization enthalpy of sodium is much higher than that of magnesium because Nar has stable noble gas configuration. Moreover in Na" the outermost shell is second whereas in Mg+ it is third. 3.18. What are the various factors due to which the ionization enthalpy of the main group elements tends to decrease down the group? Solution. Within the main group elements, the ionization enthalpy decreases regularly as we move down the group due to the following two factors. . (0 Atomic size. On moving down the group, the atomic size increases progressively due to the addition of one new energy shell at each succeeding element. As a result, the distance of the valence electrons from the nucleus increases. Consequently, the force of attraction of the nucleus for the valence electrons decreases. (ii) Screening effect. With the addition of new shells, the shielding effect or the screening effect increases. As a result, the force of attraction of the nucleus for the valence electrons further decreases and hence the ionization enthalpy decreases. 3.19. The first ionization enthalpy of group 13 elements are: values (in kJ mof+) B AI Ga In TI 801 577 579 558 589 How will you explain this deviation from the general trend? Solution. On moving down the group 13 from B to Al, the ionization enthalpy decreases as expected due to an increase in atomic size and screening effect which outweigh the effect of increased nuclear charge. However, i1;Hl of Ga is slightly higher than that of Al while that of Tl is higher than those of Al, Ga and In. These deviations can be explained as follows: Al follows immediately after s-block elements while Ga and In follow after d-block elements and Tl after d- and f-block elements. These extra d- and f-electrons do not shield the valence shell-electrons from the nucleus effectively. As a result, the valence electrons are more tightly held by the nucleus and hence larger amount of energy is needed for their removal. This explains why Ga has higher ionization enthalpy than Al. Further on moving down the group from Ga to In, the increased shielding effect due to the presence of additional 4d-electrons outweighs the effect of increased nuclear charge and hence the t1iHl ofIn is less than, that of Ga. Thereafter, the effect of increased nuclear charge predominates and hence the t1iHl of Tl is higher than that of In. 3.20. Which of the following pairs of elements would have a more negative electron gain enthalpy? Explain. (i) 0 or F, (ii) F or Cl. Solution. (i) F has more negative electron gain enthalpy due to its smaller size and greater effective nuclear charge. (ii) Chlorine (Cl) has more negative electron gain enthalpy than fluorine (F). F has less negative electron gain enthalpy because in it the added electron goes to the smaller energy level (n = 2) and hence suffers significant repulsion from the electrons already present in this shell. 3.21. Would you expect the second electron gain enthalpy of 0 as positive, more negative or less negative than the first. Justify your answer. Solution. The second electron gain enthalpy of 0 is positive as explained below: When an electron is added to 0- to form 02- ion, energy is required to overcome the strong electrostatic repulsion between the negatively charged 0- ion and the electron being added. 0- (g) + e- (g) ~ 02- (g) ; .:ill;:;.:leg~;:;+ ve Therefore, the second electron gain enthalpy of oxygen is positive. 3.22. What is the basic difference between the terms electron gain enthalpy and electronegativity? Solution. Both electron gain enthalpy and electronegativity are measure ofthe tendency ofthe atom ofan element to attract electrons. Whereas electron gain enthalpy refers to the tendency of an isolated gaseous atom to accept an electron to form a negative ion, electronegativity refers to the tendency of the atom to attract the shared pair of electrons towards itself in a molecule. 3.23. How would you react to the statement that the electronegativity of N on Pauling scale is 3.0 in all the nitrogen compounds. Solution. The electronegativity of any given atom is not constant; it varies depending on the element to which it is bound and also on the state of hybridization of the atom of the element. Therefore, the statement, that the electronegativity ofN on Pauling scale is 3.0 in all nitrogen compounds, is wrong. 3.24. Describe the theory associated with the radius of an atom as it (a) gains electron (b) loses electron. Solution. (a) Gain of electron. When a neutral atom gains one electron to form an anion, its radius increases. The reason being that the number of electrons in the anion increases while its nuclear charge remains the same as the parent atom. Since the same nuclear charge now attracts greater number of electrons, therefore, effective nuclear charge decreases and hence the electron cloud expands and the atomic radius increases. (b) Loss of electrons. When a neutral atom loses one electron to form a cation, its atomic radius decreases. The reason being that the number of electrons in the cation decreases while its nuclear charge remains the same as the parent atom. Since the same nuclear charge now attracts smaller number ofelectrons, therefore, effective nuclear charges increases and hence the atomic radius decreases. 3.25. Would you expect the first ionization enthalpies of two isotopes of the same element to be same or different? Justify your answer. Solution. Two isotopes of the same element have same number of electrons, same nuclear charge, same atomic radii. Therefore, they are expected to have same ionization enthalpies. 3.26. What are major differences between metals and non-metals? Solution. Elements which have a strong tendency to lose electrons to form cations are called metals while those which have a strong tendency to accept electrons to form anions are called non-metals. Metals are highly electropositive whereas non-metals are highly electronegative. Metals are good reducing agents whereas non-metals are good acidizing agents. Metals are generally solids whereas non-metals are generally gases. Oxides of metals are basic or amphoteric whereas oxides of non-metals are acidic or neutral. Metals are generally good conductors of heat and electricity whereas non-matals are generally bad conductors. 3.27. Use the periodic table to answer the following questions. (a) Identify an element with five electrons in the outer sub-shell. (b) Identify the element that would tend to lose two electrons. (c) Identify the element that would tend to gain two electrons. Solution. (a) Fluorine (F). Its electronic configuration is 1S2, 2s2 2p5. 1S2, (b) Magnesium (Mg). Its electronic configuration is 2s2 2p6, 3s2 by losing 2 electrons it attains noble gas configuration. (c) Oxygen (0). Its electronic configuration is 1S2, 2s2 2p4 by gaining two electrons it attains stable noble gas configuration. . 3.28. The increasing order of reactivity among group 1 elements is Li < Na < K < Rb < Cs whereas that of group 17 is F > Cl > Br > I. Explain. Solution. The elements of group-1 have a strong tendency to lose electron. The tendency to lose electrons, in turn, depends upon the ionization enthalpy. Since the ionization enthalpy decreases down the group, therefore, the reactivity of group-1 elements increases in the order: Li < Na < K < Rb < Cs. On the other hand, the elements of group-17, have a strong tendency to accept electron. The tendency to accept electrons, in turn, depends upon their electrode potential. Since the electrode potentials of group-17 elements decrease on descending the group, therefore, their re activities decrease in the order: F > Cl> Br> I. 3.29. Write the general electronic configuration PO, do, and f-block elements: Solution. s-Block elements: nsl-2 p-Block elements: ns2npl-6 of d-Block elements: (n - 1) d1-10ns0-2• f-Block elements: (n - 2) [1-14 (n -1) ~l ns2• SO, 3.30. Assign the position electronic configuration, (i) ns2 np4 for n of the element having (c) The element III which has high first ionizatlo,n enthalpy and a very high negative electrongain enthalpy is likely to be the most reactive non-metal. (d) The element IV has a high negative electron ~ enthalpy but not so high first ionization enthalpy. Therefore, it is the least reactive non-metal. outer =3 (ii) (n - 1) d2 ns2 for n = 4 and (iii) (n - 2)(7 (n -1) di ns2 for n = 6 in the periodic table. Solution. (i) n-= 3 indicates that the element belongs to third period. Since the last electron enters the p-orbital, therefore, the given element is a p-block element. For p-block elements, group number = 10 + number of electrons in the valence shell :. Group number of the element = 10 + 6 = 16. (ii) n = 4 indicates (e) The element VI has low values for first and second ionization enthalpies. Therefore, it appears that the element is an alkaline earth metal and hence will form binary halide of the formula ~. (f) The element I has low first ionization enthalpy a very high second ionization enthalpy therefore, it must be an alkali metal with smaller atomic number and is likely to form a predominantly stable covalent halide of the formula MX. that the element lies in the 4th period. Since the d-orbital is incomplete, therefore, it is d-block element. The group number of the element = number of (n - 1) d-electrons + number of (n) s-electrons =2+2=4(iii) n = 6 means that the element lies in the sixth period. Since the last electron goes to the {-orbital, therefore, the element is a {-block element. All (-block elements lie in group 3. 3.31. The first (~ Hi) and the second (~ ~) ionization enthalpies (in kJ molr") and the (Aeg H) electron gain enthalpy (in kJ mol-i) of a few elements are given below: I 11 III IV V VI 520 419 1681 1008 2372 738 7300 3051 3374 1846 5251 1451 -60 -48 -328 -295 +48 -40 Which of the above element is likely to be: the least reactive element (b) the most reactive metal (c) the most reactive non-metal (d) the least reactive non-metal (e) the metal which can form a stable binary halide of the formula ~ (X = halogen). the metal which can form predominantly stable covalent halide of the formula MX (X = halogen)? Solution. (a) The element V has highest first ionization enthalpy and positive electron gain enthalpy and hence it is likely to be the least reactive element. (b) The element 11which has the least first ionization enthalpy and a low negative electron gain enthalpy is the most reactive metal. (a) (n 3.32. Predict the formulas of the stable binary compounds that would be formed by the combination ot the following pairs of elements: ; (a) Lithium and oxygen; (b) Magnesium and nitrogen; (c) Aluminium and iodine; (d) Silicon. aiIld oxygen; (e) Phosphorus and fluorine; if) Element 71 apd fluorine. Solution. Lithium is an element of group-1. It has only o~e electron in the valence shell, therefore, its valence is 1. Oxygen is a group-16 element with a valence.of 2. Therefore, formula of the compound fomied would be Lip. (b) Magnesium is an alkaline earth metal (Group-2) and hence has a valence of2. Nitrogen is a group-l5 element with a valence of 8 - 5 = 3. Thus, the formula of the compound formed would be Mg~. (c) Aluminium is group-13 element with a valence of 3 while iodine is a halogen (group-17) with a valence of 1. Therefore, the formula of the compound formed would be AlI3. (d) Silicon is a group-14 element with a valence of 4 while oxygen is a group-16 element with a valence of2. Hence, the formula of the compound formed is (a) Si02• Phosphorus is a group-15 element with a valence of 3 or 5 while fluorine is a group-17 element with a valence of 1. Hence the formula of the compound formed would be PF 3 or PF 5' (f) Element with atomic number 71 is a lanthanoid called lutetium (Lu), Its common valence is 3. Fluorine is a group-17 element with a valence of 1. Therefore, the formula of the compound formed would be LuF 3' (e) 3.33. In the modern the value of: (a) quantum periodic table, the period atomic number (b) mass number number (d) azimuthal quantum indicates (c) princilPal number. Solution. In the modem periodic table, the period number is same as the value of'prineipal quantum number. Thus, option (c) is correct. (b) The greatest increase in ionization enthalpy is experienced on removal of electrons from core noble gas configuration. 3.M. Which of the following statements modern periodic table is incorrect? (c) End of valence electrons is marked jump in ionization enthalpy. related to the by a big {d) Removal of electron from orbitals bearing lower n value is easier than from orbital having higher n value. (a) The p-block has six columns, because a maximum of 6 electrons can occupy all the orbitals in p-subshell, (b) The d-block has 8 columns, because a maximum of 8 electrons can occupy all the orbitals in a d-subshell. Solution. Statement (d) is incorrect because an electron with lower value of n is more tightly held as it is closer to the nucleus. (c) Each block contains equal to the number occupy that subshell. 3.38. Considering the elements B, AI, Mg and K, the correct order of their metallic character is: (d) The block indicates value of azimuthal quantum number (I) for the last subshell that received electrons in building up the electronic configuration. a number of columns of electrons that can Solution. Statement (b) is incorrect. The d-block has 10 columns, because a maximum of 10 electrons can occupy all the orbitals is a d-subshell. 3.35. Anything that influences the valence electrons will affect the chemistry of the element. Which one of the following factors does not affect the valence shell? (a) Valence principal (b) Nuclear charge quantum number (n) (Z) (c) Nuclear mass (d) Number of core electrons. Solution. Nuclear mass does not affect the valence shell. Thus, option (c) is the correct answer. 3.36. The size of isoelectronic is affected by charge species - F -, Ne and Na+ (a) nuclear (b) valence principal (c) electron-electron orbital (d) none of factors because their size is the same. (Z) quantum number interaction (n) in the outer Solution. The size of the isoelectronic ions depends upon the nuclear charge (Z). AB the nuclear charge increases the ionic size decreases. Therefore, statement (a) is correct. 3.37. Which of the following statements relation to ionization enthalpy? (a) Ionization successive enthalpy increases electron. is incorrect for each in (a) B > AI > Mg > K (b) AI > Mg > B > K (c) Mg> AI > K > B (d) K> Mg > AI > B Solution. Across a period, metallic character decreases as we move from left to right. However, within a group, the metallic character, increases from top to bottom. Therefore, K is expected to be most metallic and B the least. Hence, the choice (d) is correct. 3.39. Considering the elements B, C, N, F and Si, the correct order of their non-metallic character is: (a) B> C > Si > N > F (b) (c) F > N > C > B > Si (d) F > N > C > Si > B Si > C > B > N > F Solution. Across a period, the non-metallic character increases from left to right. Therefore, among B, C, N and F, non-metallic character decreases in the order: F > N > C > B. However, within a group, non-metallic character decreases from top to bottom. Thus, C is more non-metallic than Si. Therefore, the correct sequence of decreasing non-metallic character is: F > N > C > B > Si, and the choice (c) is correct. 3.40. Considering the elements F, Cl, 0 and N, the correct order of their chemical reactivity in terms of oxidising property is: (a) F > Cl> 0 > N (b) F > 0 > Cl > N (c) Cl> F > 0 > N (d) 0 > F > N > Cl Solution. Across a period, the oxidising character increases from left to right. Therefore, among F, 0 and N, oxidising power decreases in the order: F> 0> N. However, within a group, oxidising power decreases from top to bottom. Thus, F is a stronger oxidising agent than Cl. Thus, overall decreasing order of oxidising power is: F > Cl > 0 > N and the choice (a) is correct. •• What is the group number, period and block of the element with atomic number 40? Solution. The electronic configuration of the element with atomic number 40 is: ~ : 182, 2s2, 2p6, &2, 3p6, 482, 3dlO, 4p6, 582, 4cJ2 or ~: lKr] 582, 4cJ2 Since the last electron enters d-subshell, the element belongs to d-block. Since the outermost shell of the element is fifth, the element belongs to period 5 Group number of the elements of d-block is equal to sum of the electrons in outermost s-subshell and d-subshell of penultimate shell. Hence, group number of the element =2+2=4. •• Explain why the first ionization enthalpy of carbon is more than that of boron but the reverse is true for the second ionization enthalpy. Solution. The first ionization enthalpy of carbon is more than that of boron because effective nuclear charge of carbon is more and atomic size is smaller than that of boron. After losing one electron the boron atom changes into B+ which has stable electronic configuration. B+ : Is2, 2s2 C+ : Is2, 2s2, 2px 1 As a result more energy is required to remove an electron from B+ than from C+. Hence, second ionization enthalpy of boron is higher than that of carbon. •• Arrange the following ions in order of their increasing radii: Lir, Mg2+ , K+, AI3+ Solution. Li" < Al3+ < Mg2+ < K+ Li" is isoelectronic with helium. Mg2+ and Al3+ are isoelectronic with neon and have nuclear charge 12 and 13. K+ is isoelectronic with argon. Li" is smallest because in it the outermost shell is first. K+ is largest because in it the outermost shell is third. Mg2+ and Al3+ have second shell as the outermost. Al3+ is smaller than Mg2+ because it has greater nuclear charge. •• Arrange the following as stated: (i) ~ , Na', F: , ()2-, Mg2+ ..... Increasing ionic size (ii) H, F, Cl ..... Increasing electronegativity tiii) H, He, Li ..... Increasing ionization energy. Solution. (i) Mg2+ < Na+ < F- < 02- < N3-(ii) H < Cl < F (iii) Li < H < He. •• The ionic size of Cl- is greater than that of K+ though the two ions are isoelectronic. Give reason. Solution. The nuclear charge in CI- is 17 whereas that in K + is 19. Therefore, electrons in K+ are more tightly held than in CI-. Hence, ionic size of K+ is smaller. In other words, ionic size of CI- is greater than that of K". •• size. Arrange the following in the increasing order of their F -, u-, Na+ , Cl Solution. Li+ < Na+ < F- < CILi" and Na" belong to same group. Ionic size increases on descending the group. Therefore, Li" < Na". Na+ and Fare isoelectronic ions with nuclear charge 11 and 9. Na' having greater nuclear charge is smaller than F-. Therefore Na +< F-. F- and CI- belong to same group. Ionic size increases on descending the group. Therefore, F- < CI-. Therefore, the overall increasing order of sizes is Li" < Na" <F- < CI-. •• The first ionization enthalpy of N is more as compared to those of C and O. Solution. N has smaller atomic size and greater nuclear charge than C and hence has higher first ionization enthalpy than that of C. N has higher ionization enthalpy than that of 0 due to its stable electronic configuration which has exactly half filled p-subshell N: 1s2, 2s2, 2p/, 2p/, 2p/. •• Out of Al+ and Mg+ which enthalpy? has higher ionization Or Out of AI and Mg which has higher second ionization enthalpy? Solution. In both Al+ and Mg" the outermost removed from 3s-orbital. Al" : 1s2, 2S2, 2p6, 3s2 Mg" : ls2, 2S2, 2p6, 3s1 electron is Al" has higher ionization enthalpy than Mg+ because nuclear charge in Al+ (13 units) is higher than in Mg+ (12 units). Moreover, Al" has stable configuration (fully filled 3s sub-shell). •• Arrange C, N, 0, and F in the decreasing order of their second ionization enthalpies and explain briefly. Solution. Second ionization enthalpies of C, N, 0 and F correspond to the ionization enthalpies of C+, N+, 0+ and F+ respectively. sC+ : ls2, 2s2, 2p/ _N+ . ls2 , 2s2 '''''x' 2n 1 2n 1 I • 'l""y 0+ .. ls2 , 2S2''Yx' 2n 8 1 2n 1 2p 1 ry' z ~+ : ls2, 2s2, 2Px2, 2p/, 2p/. All these ions have second shell as the outermost shell. The nuclear charge decreases in the order F+ > 0+ > N+ > C+. Therefore, the expected order of ionization enthalpies is: F+ > 0+ > N+ > C+ But ifwe observe the electronic configurations, we find that 0+ has stable configuration (exactly half-filled p-subshell) and hence would have higher ionization enthalpy than that of'F", Therefore, the correct order of ionization enthalpies is: 0+ > F+ > N+ > C+. Therefore, decreasing order enthalpies of C, N, 0 and F is: of second ionization O>F>N>C. IlDI Explain, why electron gain enthalpies of noble gasses are positive. Solution. All noble gases have ns2 np6 valence shell configuration (except helium where it is 182). In the valence shell of noble gases s and p sub-shells are fully filled, therefore, these configurations are highly stable. Hence, noble gases do not have any tendency to accept more electrons because this would disturb their stable configuration. Hence, energy has to be supplied to add an electron to the noble gases and thus their electron gain enthalpies are positive.