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LESSON 6.3 Key Objectives 6.3.1 DESCRIBE trends among elements for atomic size. 6.3 Periodic Trends 6.3.2 EXPLAIN how ions form. 6.3.3 DESCRIBE trends for first ionization energy, ionic size, and electronegativity. CHEMISTRY Additional Resources Q: How are trends in the weather similar to trends in the properties of elements? Although the weather changes from day to day. The weather you experience is related to your location on the globe. For example, Florida has an average temperature that is higher than Minnesota’s. Similarly, a rain forest receives more rain than a desert. These differences are attributable to trends in the weather. In this lesson, you will learn how a property such as atomic size is related to the location of an element in the periodic table. Reading and Study Workbook, Lesson 6.3 Available Online or on Digital Media: • Teaching Resources, Lesson 6.3 Review • Small-Scale Chemistry Laboratory Manual, Lab 9 Trends in Atomic Size Key Questions What are the trends among the elements for atomic size? What are the trends among the elements for atomic size? One way to think about atomic size is to look at the units that form when atoms of the same element are joined to one another. These units are called molecules. Figure 6.14 shows models of molecules (molecular models) for seven nonmetals. Because the atoms in each molecule are identical, the distance between the nuclei of these atoms can be used to estimate the size of the atoms. This size is expressed as an atomic radius. The atomic radius is one half of the distance between the nuclei of two atoms of the same element when the atoms are joined. The distances between atoms in a molecule are extremely small. So the atomic radius is often measured in picometers (pm). Recall that there are one trillion, or 1012, picometers in a meter. The molecular model of iodine in Figure 6.14 is the largest. The distance between the nuclei in an iodine molecule is 280 pm. Because the atomic radius is one half the distance between the nuclei, a value of 140 pm (280/2) is In general, atomic size assigned as the radius of the iodine atom. increases from top to bottom within a group and decreases from left to right across a period. How do ions form? Engage & CHEMISTRY Y YO YOU U Have students read the opening paragraph. As a class, discuss the seasonal trends in weather typical for your region of the country. Ask How is knowing the trends in weather for a specific region helpful? (Sample answer: It can help in determining the type of plants that will grow well in your yard.) Have students consider how knowing trends in elemental properties might be helpful to scientists. Access Prior Knowledge Ask student volunteers to summarize what they have learned about the organization of the periodic table. Have students compare and contrast properties and characteristics of periods with those of groups. What are the trends among the elements for first ionization energy, ionic size, and electronegativity? Vocabulary tBUPNJDSBEJVT tJPO tDBUJPO tBOJPO tJPOJ[BUJPOFOFSHZ tFMFDUSPOFHBUJWJUZ Figure 6.14 Atomic Radii This diagram compares the atomic radii of seven nonmetals. Distance between nuclei Nucleus Hydrogen (H2) 30 pm Atomic radius National Science Education Standards Y &YOU Fluorine (F2) 62 pm Oxygen (O2) 66 pm Chlorine (Cl2) 102 pm Nitrogen (N2) 70 pm Bromine (Br2) 120 pm Iodine (I2) 140 pm 174 $IBQUFSt-FTTPO A-1, A-2, B-1, B-2, B-3 Focus on ELL 1 CONTENT AND LANGUAGE Have students write the lesson title Periodic Trends in their vocabulary notebook. Have students determine the common definitions of each word and write them in their notebook. Have students predict the lesson content based on these definitions and what they have learned previously about the periodic table. 2 FRONTLOAD THE LESSON Provide four sets of photos of fashion trends from the 1950s, the 1970s, the 1990s, and the current decade. Ask students to identify the fashion trends for each decade. Explain that a trend is a pattern over time. Then ask students if they notice any similarities between clothes in the pictures. Explain that in fashion, and in element properties, trends repeat periodically. 3 COMPREHENSIBLE INPUT Play “The Elements” song written by Tom Lehler. Use 174 Chapter 6 • Lesson 3 this as a tool for engaging students’ interest in the content. Point out that, even though the element names are never repeated, sections of the music are repeated. Similarly, trends in the periodic table are repeated in each period. Foundations for Reading Atomic Radius vs. Atomic Number 300 Period 2 200 Period 1 Atomic radius (pm) 250 Period 4 Period 3 Figure 6.15 This graph plots Period 5 atomic radius versus atomic number for elements with atomic numbers from 1 to 55. a. Read Graphs Which alkali metal has an atomic radius of 238 pm? Cs Rb K Na Sc Li 150 b. Draw Conclusions Cd Based on the data for alkali metals and noble gases, how does atomic size change within a group? c. Predict Is an atom of barium, atomic number 56, smaller or larger than an atom of cesium (Cs)? Zn Xe 100 50 0 Kr Ar Ne He 10 20 30 40 50 READING STRATEGY Tell students that they will be learning about trends related to the location of elements in the periodic table. Guide students to read the visuals throughout the lesson closely, as the visuals summarize the trends described in the text. Explain Trends in Atomic Size USE VISUALS Guide students’ attention to Figure Group Trends in Atomic Size Look at the data for the alkali metals and noble gases in Figure 6.15. The atomic radius within these groups increases as the atomic number increases. This increase is an example of a trend. As the atomic number increases within a group, the charge on the nucleus increases and the number of occupied energy levels increases. These variables affect atomic size in opposite ways. The increase in positive charge draws electrons closer to the nucleus. The increase in the number of occupied orbitals shields electrons in the highest occupied energy level from the attraction of protons in the nucleus. The shielding effect is greater than the effect of the increase in nuclear charge, so the atomic size increases. 6.14. Ask What is the main reason why a scientist cannot measure the diameter of a single atom? (because an atom does not have a sharply defined border) Discuss how measuring the distance between nuclei solves this problem. (NOTE: In Chapter 8 there are formal definitions of molecule and diatomic molecule. The operational definition of a molecule should be sufficient for a discussion of atomic radii.) Period Trends in Atomic Size Look again at Figure 6.15. With increasing atomic number, each element has one more proton and one more electron than the preceding element. Across a period, the electrons are added to the same principal energy level. The shielding effect is constant for all the elements in a period. The increasing nuclear charge pulls the electrons in the highest occupied energy level closer to the nucleus, and the atomic size decreases. Figure 6.16 summarizes the group and period trends in atomic size. Size generally increases a compare/contrast table for cation and anion, and use the table to decide which type of ion an element is likely to form. 60 Atomic number Size generally decreases BUILD VOCABULARY Have students‘ attention make Figure 6.16 Trends in Atomic Size The size of atoms tends to decrease from left to right across a period and increase from top to bottom within a group. Predict If a halogen and an alkali metal are in the same period, which one will have the larger radius? See periodic trends animated online. ET KIN IC ART 5IF1FSJPEJD5BCMF 175 CRITICAL THINKING Emphasize the key roles electrical attraction and repulsion play within atoms and ions. Review the effects of increasing nuclear charge and changes in the shielding effect of electrons on the size of an atom: nuclear charge increases within groups and across periods; the shielding effect increases within groups, but it is constant across periods. Have students use these effects to describe the trends for atomic size within a period and within groups. USE AN ANALOGY As an analogy to positions and trends in properties of elements in the periodic table, use seating charts and pricing data from local theaters or sports venues to discover trends. Instruct students to determine patterns that relate the position of a seat to its price. Students should discover that variables such as distance from the stage or field, location relative to the center of the action, and whether the view will be obstructed, all affect price. Elements and the Big Bang At the time of the Big Bang, the temperature was many billions of degrees. Neutrons, protons, and electrons may have formed within 10–4 second after the Big Bang, and the lightest nuclei formed within 3 minutes. Matter was in the form of plasma, a sea of positive nuclei and negative electrons. It took an estimated 500,000 years for electrons and nuclei to cool enough to form atoms. According to the Big Bang theory, Earth, with its wealth of chemical elements, formed from the debris of supernova explosions. Answers FIGURE 6.15 a. potassium b. It increases with increasing atomic number. c. smaller FIGURE 6.16 the alkali metal The Periodic Table 175 LESSON 6.3 Interpret(SBQIT LESSON 6.3 Explore Figure 6.17 Cation Formation When a sodium atom loses an electron, it becomes a positively charged ion. Lose one electron ź1eź Ions Class Activity Nucleus 11 pá 12 n0 10 eź 11 eź Sodium ion (Naá) Sodium atom (Na) PURPOSE To give students practice identifying Nucleus 11 pá 12 n0 positive and negative ions Ions PROCEDURE Give students a list of elements. Ask them to locate each element in the periodic table, and decide whether its atoms are likely to form positive or negative ions. Have students make a list of elements that are likely to form positive ions and another list of elements that are likely to form negative ions. How do ions form? Misconception Alert Many students will associate the words “losing” and “gaining” with subtraction and addition, respectively. Make sure they understand that when an atom loses an electron, its charge becomes more positive, rather than more negative. Similarly, when an element gains an electron, it becomes more negative rather than more positive. It may be helpful to remind students that they are adding or subtracting the total charge of the electrons gained or lost, rather than the total number of electrons. For example, the elemental form has a charge of 0, and it loses a single electron, which has a charge of −1. The charge can be calculated as 0 – (−1) = 0 + 1 = +1. For chlorine, which gains an electron to become negative, the calculation would be 0 + (−1) = −1. Figure 6.18 Anion Formation When a chlorine atom gains an electron, it becomes a negatively charged ion. Interpret Diagrams What happens to the protons and neutrons during this change? Nucleus 17 pá 18 n0 Some compounds are composed of particles called ions. An ion is an atom or group of atoms that has a positive or negative charge. An atom is electrically neutral because it has equal numbers of protons and electrons. For example, an atom of sodium (Na) has 11 positively charged protons and 11 negatively charged electrons. The net charge on a sodium atom is zero [(à11) à (Ź11) â 0]. Positive and negative ions form when electrons are transferred between atoms. Atoms of metals, such as sodium, tend to form ions by losing one or more electrons from their highest occupied energy levels. Figure 6.17 compares the atomic structure of a sodium atom and a sodium ion. In the sodium ion, the number of electrons (10) is not equal to the number of protons (11). Because there are more positively charged protons than negatively charged electrons, the sodium ion has a net positive charge. An ion with a positive charge is called a cation. The charge for a cation is written as a number followed by a plus sign. If the charge is 1, the number in 1à is usually omitted from the symbol for the ion. For example, Na1à is written as Naà. Atoms of nonmetals, such as chlorine, tend to form ions by gaining one or more electrons. Figure 6.18 compares the atomic structure of a chlorine atom and a chloride ion. In a chloride ion, the number of electrons (18) is not equal to the number of protons (17). Because there are more negatively charged electrons than positively charged protons, the chloride ion has a net negative charge. An ion with a negative charge is called an anion. The charge for an anion is written as a number followed by a minus sign. Gain one electron á1eź 17 eź 18 eź Chlorine atom (Cl) Nucleus 17 pá 18 n0 Chloride ion (Clź) 176 $IBQUFSt-FTTPO Check for Understanding How do ions form? Assess students’ knowledge about the formation of ions by asking them the following questions: a. What occurs when an atom in Group 2 becomes an ion? (It loses two electrons.) b. Is the ion that forms from a Group 2 atom called an anion or a cation? How do you know? (It is a cation because it has a positive charge, +2.) ADJUST INSTRUCTION If students are confused, have them use a copy of the periodic table as a reference as they read the Ions lesson or as they review. Review the information provided in the Misconception Alert with students and show them how to use the group numbers shown in red in Figure 6.9 to help them determine the number of electrons lost or gained in groups 1A–7A. Note that determining the charge on transition metal ions will not be covered until Chapter 20. 176 Chapter 6 • Lesson 3 Explain What are the trends among the elements for first ionization energy? Recall that electrons can move to higher energy levels when atoms absorb energy. Sometimes the electron has enough energy to overcome the attraction of the protons in the nucleus. The energy required to remove an electron from an atom is called ionization energy. This energy is measured when an element is in its gaseous state. The energy required to remove the first electron from an atom is called the first ionization energy. The cation produced First ionization energy tends to decrease from top to has a 1à charge. bottom within a group and increase from left to right across a period. Ionization energies can help you predict what ions an element will form. Look at the data in Table 6.1 for lithium (Li), sodium (Na), and potassium (K). The increase in energy between the first and second ionization energies is large. It is relatively easy to remove one electron from a Group 1A metal atom, but it is difficult to remove a second electron. This difference indicates that Group 1A metals tend to form ions with a 1à charge. Trends in Ionization Energy MAKE A CONNECTION Explain that ionization energy is a measure of the difficulty in removing an electron from the highest occupied energy level. Ask Why is the first ionization energy of a nonmetal much higher than that of an alkali metal? (Because the nuclear charge increases from left to right across a period and the shielding effect stays the same, it is more difficult to remove an electron.) Misconception Alert Interpret Data Table 6.1 The table Ionization Energies of First 20 Elements (kJ/mol*) Symbol First H He (noble gas) 1312 2372 Second 5247 Li Be B C N O F Ne (noble gas) Na Mg Al Si P S Cl Ar (noble gas) K Ca 520 899 801 1086 1402 1314 1681 2080 496 738 578 786 1012 999 1256 1520 419 590 7297 1757 2430 2352 2857 3391 3375 3963 4565 1450 1816 1577 1896 2260 2297 2665 3069 1146 Third 11,810 14,840 3659 4619 4577 5301 6045 6276 6912 7732 2744 3229 2910 3380 3850 3947 4600 4941 *An amount of matter equal to the atomic mass in grams compares ionization energies for elements with atomic numbers 1 through 20. a. Read Tables What are the values for the first, second, and third ionization energies for sodium and aluminum? b. Compare Is it easier to remove an electron from a sodium (Na) or aluminum (Al) atom? From Naá or Alá? From Na2á or Al2á? c. Draw Conclusions Which ion is more common— Na3á or Al3á? Explore Teacher Demo Note: The second ionization energy is the energy needed to remove an electron from an ion with a 1à charge. This produces an ion with a 2à charge. The third ionization energy is the energy needed to remove an electron from an ion with a 2à charge. This produces an ion with a 3à charge. The Periodic Table 177 Differentiated Instruction L1 LESS PROFICIENT READERS Have students refer back to their KWL charts to review their notes on atomic structure. Have them use this information to identify three of the factors that affect ionization energy: nuclear charge, number of energy levels, and shielding. ELL ENGLISH LANGUAGE LEARNERS Use student volunteers to set up a tug-of-war game that to demonstrate why the amount of energy needed to remove successive electrons increases. Assign one team to be “protons” and the other team to be “electrons.” Show students how the amount of force exerted by the “protons” on the “electrons” increases as each “electron” is removed from the game, and that the “electrons” then have to pull harder against the “protons.” L3 Some students may be tempted to place a negative sign on the ionization energy value. Students may confuse the phrase “losing an electron” with a negative energy value. Explain that the ionization energy is the energy change associated with removing one electron from a neutral atom. Explain that this energy value is always a positive number since energy must be added to the atom system to remove an electron. (NOTE: The unit for ionization energy is kJ/mol. The footnote in Table 6.1 supplies an operational definition of mole, which is introduced in Lesson 10.1.) ADVANCED STUDENTS Have students create a three-dimensional tactile or technological model that depicts the energy needed to remove an atom from an electron. PURPOSE To help students understand the concepts of effective nuclear charge and electron shielding PURPOSE Choose four students to be “protons” and four students to be “electrons.” Construct a lithium “nucleus” by having three protons stand together at the front of the room. Note that for purposes of this demo, you are ignoring the neutrons. • Place two electrons together at a short distance from the nucleus to represent the 1s electrons. • Place the third electron a bit farther away to represent the 2s electron. You should be able to draw a line from the nucleus through the 1s electrons to the 2s electron. • Point out that there are no other electrons between the 1s electrons and the nucleus. Explain that these electrons experience the full impact of the 3+ charge because the third electron’s “view” of the nucleus is partially blocked. Convey that this means the nucleus it is shielded somewhat from the full force of the 3+ charge. Answers FIGURE 6.18 nothing TABLE 6.1 a. sodium: 496, 4565, 6912 kJ/mol; aluminum: b. c. 578, 1816, 2744 kJ/mol Na; Al+; Al2+ Al3+ The Periodic Table 177 LESSON 6.3 Trends in Ionization Energy Explain USE VISUALS Direct students to Table 6.1, Figure 6.19, and their copy of the periodic table. Show students how to use Table 6.1 and the periodic table to create ordered pairs that are then plotted in the graph in Figure 6.19. Call out various atomic numbers and have students estimate the ionization energy, and vice versa. When students are comfortable reading the graph, direct them to answer the questions. CRITICAL THINKING Challenge students to explain Ne 2000 Ar Kr N 1500 Xe H 1000 500 0 P Be Zn As Mg Li Na 10 20 30 40 Cs 50 60 Atomic number Group Trends in Ionization Energy Figure 6.19 is a graph of first ionization energy versus atomic number. Look at the data for the noble gases and the alkali metals. In general, first ionization energy decreases from top to bottom within a group. Recall that the atomic size increases as the atomic number increases within a group. As the size of the atom increases, nuclear charge has a smaller effect on the electrons in the highest occupied energy level. Less energy is required to remove an electron from this energy level, and the first ionization energy is lower. Explore Teacher Demo Period Trends in Ionization Energy In general, the first ionization energy of representative elements tends to increase from left to right across a period. This trend can be explained by the nuclear charge and the shielding effect. The nuclear charge increases across the period, but the shielding effect remains constant. As a result, there is an increase in the attraction of the nucleus for an electron. Thus, it takes more energy to remove an electron from an atom. Figure 6.20 summarizes the group and period trends for first ionization energy. PURPOSE Students observe the relative reactivities of magnesium and calcium and predict relative reactivities for other pairs of elements. MATERIALS 20 mL 1M HCl, two 50-mL beakers, overhead projector, 20 cm magnesium ribbon, 1 g calcium PROCEDURE Pour 20 mL HCl into each beaker. Set the beakers on an overhead projector. Coil the magnesium ribbon and drop it into one beaker. Drop 1 g calcium into the other beaker. Compare the reaction rates in the two beakers. Point out the positions of the two elements in the periodic table, and relate the difference in reactivity to their first and second ionization energies. Ask students to predict the relative reactivities of other pairs of elements in Groups 1A and 2A. Cd Rb K why the portion of the graph for Periods 4 and 5 is different from the portion of the graph for Periods 2 and 3. (Periods 4 and 5 include transition metals, whose atoms have electrons in d orbitals.) SAFETY Wear goggles for this demo. reveals group and period trends for ionization energy. a. Read Graphs Which element in Period 2 has the lowest first ionization energy? In Period 3? b. Describe What are the group trends for first ionization energy for noble gases and alkali metals? c. Predict If you drew a graph for second ionization energy, which element would you have to omit? Explain. He Figure 6.20 Trends in First Ionization Energy First ionization energy tends to increase from left to right across a period and decrease from top to bottom within a group. Predict Which element would have the larger first ionization energy— an alkali metal in Period 2 or an alkali metal in Period 4? Energy generally increases Energy generally decreases Trends in Ionization Energy Figure 6.19 This graph First Ionization Energy vs. Atomic Number 2500 First ionization energy (kJ/mol) LESSON 6.3 Interpret(SBQIT 178 $IBQUFSt-FTTPO EXPECTED OUTCOME The calcium fizzes in the HCl. The magnesium reacts more slowly with the HCl. Check for Understanding What are the trends among the elements for first ionization energy and ionic size and electronegativity? Assess students’ knowledge about the trends among the elements for first ionization energy by having students use arm gestures to answer the following questions. Ask In which direction on the periodic table does the first ionization energy generally increase in value? (Accept arm gestures from left to right, and upward.) Ask In which direction on the periodic table does the first ionization energy generally decrease in value? (Accept arm gestures downward and from right to left.) ADJUST INSTRUCTION If students are having trouble answering, have them write some of the values in Table 6.1 on the element squares in a copy of the periodic table and examine their table for ionization patterns. 178 Chapter 6 • Lesson 3 What are the trends among the elements for ionic size? During reactions between metals and nonmetals, metal atoms tend to lose electrons and nonmetal atoms tend to gain electrons. This transfer of electron has a predictable effect on the size of the ions that form. Cations are always smaller than the atoms from which they form. Anions are always larger than the atoms from Ionic size tends to increase from top to which they form. bottom within a group. Generally, the size of cations and anions decrease from left to right across a period. Figure 6.21 Comparing Atomic and Ionic Sizes This diagram compares the relative sizes of atoms and ions for selected alkali metals (Group 1A) and halogens (Group 7A). The numbers are measurements of the radii given in picometers (pm). Group Trends in Ionic Size Figure 6.21 compares the relative sizes of the atoms and ions for three metals in Group 1A—lithium (Li), sodium (Na), and potassium (K). For each of these elements, the ion is much smaller than the atom. For example, the radius of a sodium ion (95 pm) is about half the radius of a sodium atom (191 pm). When a sodium atom loses an electron, the attraction between the remaining electrons and the nucleus is increased. As a result, the electrons are drawn closer to the nucleus. Metals that are representative elements tend to lose all their outermost electrons during ionization. Therefore, the ion has one fewer occupied energy level. The trend is the opposite for nonmetals, like the halogens in Group 7A. Look at Figure 6.21, and compare the relative sizes of the atoms and ions for fluorine (F), chlorine (Cl), and bromine (Br). For each of these elements, the ion is much larger than the atom. For example, the radius of a fluoride ion (133 pm) is more than twice the radius of a fluorine atom (62 pm). As the number of electrons increases, the attraction of the nucleus for any one electron decreases. Period Trends in Ionic Size Look ahead at Figure 6.23. From left to right across a period, two trends are visible—a gradual decrease in the size of the positive ions (cations), followed by a gradual decrease in the size of the negative ions (anions). Figure 6.22 summarizes the group and period trends in ionic size. Group 1A eź Li Liá 60 156 eź Naá Na 95 191 eź Ká K 133 238 Group 7A eź F 62 eź Cl 102 eź Fź 133 Clź 181 Br Brź 120 Explain Trends in Ionic Size MAKING CONNECTIONS Relate the periodic trends in ionic size to those discussed earlier for atomic size. Explain that the effective nuclear charge experienced by an electron in the highest occupied orbital of an atom or ion is equal to the total nuclear charge (the number of protons) minus the shielding effect due to electrons in lower energy levels. Point out that the effective nuclear charge determines the atomic and ionic radii. Explain that as you proceed from left to right in any given period, the principal quantum number, n, of the highest occupied energy level remains constant, but the effective nuclear charge increases. Therefore, atomic and ionic radii decrease as you move to the right in a period. Convey that in contrast, within any group, as you proceed from top to bottom, the effective nuclear charge remains nearly constant, but the principal quantum number, n, increases. Consequently, point out that atomic and ionic radii increase from top to bottom within a group. Explore 196 Teacher Demo Size of anions decreases Size generally increases Size of cations decreases Figure 6.22 Trends in Ionic Size The ionic radii for cations and anions decrease from left to right across periods and increase from top to bottom within groups. PURPOSE Students observe an analogy for the effect of adding or removing electrons from an atom. MATERIALS washers or other small circular items, smaller item (such as a button) to represent the nucleus, overhead projector PROCEDURE On the overhead projector, make a 5IF1FSJPEJD5BCMF 179 circle of washers to represent an electron cloud in a neutral atom. The washers should be touching. Place the “nucleus” in the center of the circle. Add or subtract washers to mimic ion formation. With each change, adjust the circle so that the washers are still touching. Explain that the change in the diameter of the circle is analogous to the change in the effective attraction of the nuclear charge for electrons. Differentiated Instruction L1 LESS PROFICIENT READERS Have students examine Table 6.2. Act out the meaning of electronegativity. Then have students predict if there are any elements other than noble gases that do not have a value for electronegativity. Guide students in researching their prediction. (Predictions will vary; students will most likely find electronegativity tables lacking values for manmade elements with atomic numbers greater than 102.) Note these elements rarely, if ever, have been demonstrated to form compounds because their atoms exist only momentarily due to their instability. ELL SPECIAL NEEDS STUDENTS Provide tactile spherical models of various atoms. Have students arrange the models on a copy of the periodic table to visually convey the trend in ionic size. L3 ADVANCED STUDENTS Have students research and describe the phenomenon of the lanthanide contraction. Ask them to discuss how the lanthanide contraction accounts for the fact that zirconium and hafnium have virtually the same atomic radius even though hafnium is below zirconium in Group 4B of the periodic table. Answers FIGURE 6.19 a. lithium; sodium b. First ionization energy decreases as atomic c. number increases. Hydrogen; it has only one electron. FIGURE 6.20 an alkali metal in Period 2 The Periodic Table 179 LESSON 6.3 Trends in Ionic Size Explore Periodic Trends in Ionic Radii Purpose To use a graph to identify period and group trends Trends in Ionic Size Quick Lab SKILLS FOCUS Using tables and graphs, predicting, PREP TIME none CLASS TIME 40 minutes TEACHING TIPS If time is too limited for students to make the graph, use Figure 6.23 to answer Questions 1, 2, 4, and 5. You may want to reference the radii diagrams in the Elements Handbook on R3, R7, R11, R15, R21, R25, and R29. EXPECTED OUTCOME Ionic radii increase from top to bottom within a group. The radii of cations and anions decrease from left to right across a period. ANALYZE AND CONCLUDE 1. 2. 3. 4. 5. Cations are smaller than their atoms; anions are larger than their atoms. Ionic radii increase from top to bottom within a group of metals or within a group of nonmetals. Two portions of the curve slope down from left to right. The trend is similar for the periods. The radii increase within a group because the number of occupied energy levels increases. The radii of cations decrease across a period because the nuclear charge increases, the shielding effect is constant, and the number of electrons decreases. (The effect is smaller with anions because the number of electrons increases.) FOR ENRICHMENT Have students use the graph on page R37 to describe the periodic trend in atomic size for transition metals. Have students examine how the trend for transition metals compares to the trend for representative elements. Use the data presented in Figure 6.23 to plot ionic radius versus atomic number. rgraph paper rpencil OBJECTIVE Af After completing this activity, students will be able to identify periodic trends in ionic size. drawing conclusions Procedure Materials Analyze and Conclude Ionic Radius vs. Atomic Number 250 Ionic radius (pm) LESSON 6.3 Quick Lab 1. Compare How does the size change when an atom forms a cation and when an atom forms an anion? 2. Describe How do the ionic radii vary within a group of metals? How do they vary within a group of nonmetals? 3. Describe What is the shape of a portion of the graph that corresponds to one period? 4. Compare and Contrast Is the trend across a period similar or different for Periods 2, 3, 4, and 5? 5. Explain Propose explanations for the trends you have described for ionic radii within groups and across periods. 200 150 100 50 0 0 10 20 30 40 50 60 Atomic number Figure 6.23 Atomic and Ionic Radii Atomic and ionic radii are an indication of the relative size of atoms and ions. The data listed are reported in picometers (pm). 156 60 Li Atomic radius Metal atom Cation Metalloid atom Ionic radius Anion Nonmetal atom 1A 8A 30 50 H He 2A 1á 60 44 Be 2 191 95 Na1 á K 1á Mg2 66 148 á 99 Ca 2 Cs 1 á á á 112 á 51 Al 3 Ba 2 á 15 á 62 Ga3 á 41 81 á 53 Tl 3á 146 á Ge 4 á 71 Sn 4 á P 212 Pb 4 á 140 3ź As 3 222 ź S 62 á 170 74 Bi 5 á 2ź 184 Se 2 198 ź 221 ź 168 Po 70 Ne 102 Cl 1 181 ź 94 Ar 111 120 Br 1 196 ź Kr 140 139 Te 2 1ź 133 120 137 Sb 5 ź F 105 122 175 84 ź 62 66 O2 109 139 172 95 Si 4 7A 70 122 166 In 3 4á 6A N3 109 141 224 134 3á 5A 77 C 143 215 Sr 2 273 169 23 197 255 Rb 1 B 160 238 133 á 4A 83 113 156 Li 3A 220 I 1ź 130 Xe 140 At 140 Rn 180 $IBQUFSt-FTTPO Focus on ELL 4 LANGUAGE PRODUCTION Have students work in groups or pairs to complete the lab. Review plotting data on a coordinate grid with the class. Pair students with higher proficiency in English with students of lower proficiency. BEGINNING: LOW/HIGH Help students create a set of ordered pairs to plot on the graph. Use gestures to visually show how to plot an ordered pair on a coordinate grid. INTERMEDIATE: LOW/HIGH Paraphrase the questions in the Analyze and Conclude section. Guide students to answer one question at a time. ADVANCED: LOW/HIGH Direct students to read the graph aloud, pointing out trends and making predictions prior to answering the questions. 180 Chapter 6 • Lesson 3 Explore What are the trends among the elements for electronegativity? In Chapters 7 and 8, you will study two types of bonds that can exist in compounds. Electrons are involved in both types of bonds. There is a property that can be used to predict the type of bond that will form during a reaction. This property is called electronegativity. Electronegativity is the ability of an atom of an element to attract electrons when the atom is in a compound. Scientists use factors such as ionization energy to calculate values for electronegativity. Table 6.2 lists electronegativity values for representative elements in Groups 1A through 7A. The elements are arranged in the same order as in the periodic table. The noble gases are omitted because they do not form many compounds. The data in Table 6.2 is expressed in Pauling units. Linus Pauling won a Nobel Prize in Chemistry for his work on chemical bonds. He was the first to define electronegativity. In general, electronegativity values decrease from top to bottom within a group. For representative elements, the values tend to increase from left to right across a period. Metals at the far left of the periodic table have low values. By contrast, nonmetals at the far right (excluding noble gases) have high values. The electronegativity values among the transition metals are not as regular. The least electronegative element in the table is cesium, with an electronegativity value of 0.7. It has the least tendency to attract electrons. When it reacts, it tends to lose electrons and form cations. The most electronegative element is fluorine, with a value of 4.0. Because fluorine has such a strong tendency to attract electrons, when it is bonded to any other element it either attracts the shared electrons or forms an anion. Figure 9.24, on the next page, summarizes several trends that exist among the elements. Refer to this figure as you study the periodic trends presented in this chapter. Trends in Electronegativity START A CONVERSATION Lead a class discussion on periodic and group trends in electronegativities. Point out that electronegativity values help chemists predict the type of bonding that exists between atoms in compounds. Ask Why are the noble gases not included in a discussion on electronegativity? (because they form very few compounds) Ask Which element represented in Table 6.2 is the most electronegative and which is the least electronegative? (fluorine; cesium) Stress that electronegativity is a calculated value rather than a measured quantity. APPLY CONCEPTS Explain that the values for electronegativity are often based on values for ionization energy and electron affinity. Explain that ionization energy is a measure of an atom’s ability to lose electrons and electron affinity is a measure of an atom’s ability to gain electrons. Misconception Alert Students often confuse the meanings of electronegativity and ionization energy. As a class, brainstorm ideas for how to remember the meanings of each term. Then have students pictorially illustrate both concepts. Table 6.2 Electronegativity Values for Selected Elements H 2.1 Li Be B C N O F 1.0 1.5 2.0 2.5 3.0 3.5 4.0 Na Mg Al Si P S Cl 0.9 1.2 1.5 1.8 2.1 2.5 3.0 K Ca Ga Ge As Se Br 0.8 1.0 1.6 1.8 2.0 2.4 2.8 Rb Sr In Sn Sb Te I 0.8 1.0 1.7 1.8 1.9 2.1 2.5 Cs Ba Tl Pb Bi 0.7 0.9 1.8 1.9 1.9 The Periodic Table 181 Focus on ELL 4 ENABLE LANGUAGE PRODUCTION Have students work in small groups to complete the Small-Scale Lab on page 184. Make sure each group has ELLs of varied language proficiencies, so that more proficient students can help less proficient ones. Have students work according to their proficiency level. BEGINNING LOW Model the procedure and have students mimic you. Show students how to read measures from measuring tools. HIGH Rephrase steps 1 and 3 in the procedure as several single-direction steps. INTERMEDIATE: LOW/HIGH Restate the Analyze and Conclude questions in simpler terms. Allow students to orally respond to the Analyze and Conclude questions. ADVANCED: LOW/HIGH Have students paraphrase the questions in Analyze and Conclude and You’re the Chemist and read them aloud to students with lower English proficiencies. The Periodic Table 181 LESSON 6.3 Trends in Electronegativity Ionization energy increases Electronegativity increases Shielding increases Nuclear charge increases Electronegativity decreases 6.24. Point out that this diagram incorporates information from several diagrams earlier in the chapter. Lead a discussion as to whether students find this or earlier diagrams more helpful, and why. Ionic size increases USE VISUALS Direct students’ attention to Figure Ionization energy decreases Atomic size increases Explain Nuclear charge increases Shielding is constant 1A 8A 2A 3A 4A 5A 6A 7A & CHEMISTRY Y YO YOU U Trends in atomic size, ionization energy, ionic size, and electronegativity can be idendified with the help of the periodic table. Evaluate Size of cations decreases Informal Assessment Assign each student two elements in the same group and have the student compare the elements in terms of atomic radius, ionic radius, ionization energy, and electronegativity. For successful students, repeat the exercise with a metal and nonmetal from the same period. Have students write general statements to summarize the trends revealed by these comparisons. Then, have students complete the 6.3 Lesson Check. CHEMISTRY Size of anions decreases &YYOU Q: You are familiar with using a weather map to identify trends in the weather. For example, certain areas are typically warmer than other areas. What trends in the properties of elements can you identify with the help of the periodic table? Figure 6.24 Summary of Periodic Trends Trends for atomic size, ionization energy, ionic size, and electronegativity vary within groups and across periods. The trends that exist among these properties can be explained by variations in atomic structure. The increase in nuclear charge within groups and across periods explains many trends. Within groups, an increase in the number of occupied energy levels and an increase in shielding both have a significant effect on each trend. Interpret Diagrams Which properties tend to decrease across a period? Which properties tend to decrease down a group? Reteach S E NLIN PR OBLE 18. 19. M Review the terms used in Figure 6.24. Then, use the periodic table and the terms to play a version of “I’m thinking of . . . .” For example, choose fluorine and say you are thinking of an element that has a very small atomic size and a very high electronegativity. Let students guess, and then discuss the correct answer. Have students continue the game in small groups. O LESSON 6.3 Atomic size decreases 6.3 LessonCheck Review How does atomic size change within groups and across periods? Explain When do ions form? 20. Summarize How do first ionization energies vary within groups and across periods? 21. Describe Compare the size of ions to the size of the atoms from which they form. 22. Review How do electronegativity values vary within groups and across periods? 23. Explain In general, how can the periodic trends displayed by elements be explained? 24. Sequence Arrange these elements in order of decreasing atomic size: sulfur, chlorine, aluminum, and sodium. Does your arrangement demonstrate a periodic trend or a group trend? 25. Identify Which element in each pair has the larger first ionization energy? a. sodium, potassium b. magnesium, phosphorus 182 $IBQUFSt-FTTPO Lesson Check Answers 18. Atomic size generally increases within a group and decreases from left to right across a period. 19. Ions form when electrons are transferred between atoms. 20. First ionization energy generally decreases within a group and increases from left to right across a period. 21. Anions are larger and cations are smaller than the atoms from which they form. 182 Chapter 6 • Lesson 3 22. Electronegativity values generally decrease from top to bottom within a group and increase from left to right across a period. 23. The trends can be explained by variations in atomic structure. 24. sodium, aluminum, sulfur, chlorine; periodic trend 25. a. sodium b. phosphorus YOU: O EVERYDAY V MATTER &YOU: & CHEMISTRY Y YO YOU U Have students look at the photos and read about the Elements of Life. Engage students in a conversation of ways the four main elements of life—hydrogen, oxygen, carbon, and nitrogen—are a part of their everyday lives. Students should realize that everything they do, every moment of the day, involves these elements. Pose the following question to students: How many different encounters have you had with these four elements today? You may need to assist students in the following ways: • activities involving eating, drinking, or performing personal hygiene tasks • activities involved in getting to school • activities the body carries out to live • objects encountered in nature Elements of Life Like everything else in the universe, your body is made up of elements. Your body uses these elements for different functions. Roughly 97 percent of the human body consists of just four elements: oxygen, carbon, hydrogen, and nitrogen. The remaining 3 percent contains about 20 other elements that are essential to life. CIRCULATORY SYSTEM M Iro Iron on and oxygen are critical to the circulatory c system—the system that hat carries ca arries blood throughout the body. Iron, which is contained in red blood cells, od ce ells, helps transport oxygen from m the lungs to other cells in your body. dy. Two Tw other elements—copper and cobalt—are d co balt—are necessary for the formation matio on of red blood cells. Explain NERVOUS SYSTEM Sodium and potassium are essential to the nervous system, in particular the nerve cells. These elements allow your brain to communicate with other tissues in your body. Other elements that are important for proper nervous system function include calcium, chlorine, zinc, and magnesium. SKELETAL SYSTEM Your bones and teeth—two components of the skeletal system—are largely comprised of calcium and phosphorus, which give bones and teeth their strength. Fluorine, boron, magnesium, and silicon are also important for bone growth and for maintaining bone strength. START A CONVERSATION Explain to students that about 97% of the atoms in the body are either hydrogen, oxygen, carbon, or nitrogen. Encourage them to think about what properties might make these elements so special. Explain that in later chapters they will learn about how atoms combine by forming chemical bonds. Atoms of these four elements are small and light. Also, the arrangement of electrons in the atoms allows them to form bonds in such a way that the atoms can combine into the large, stable molecules necessary to carry out life functions. Take It Further 1. Describe Use the information provided on page R1 to estimate the composition of the human body in terms of metals, nonmetals, and metalloids. 2. Predict The elements sodium, magnesium, potassium, and calcium are the most abundant metals in the human body and are present as ions. What is the charge g of each of these ions? 3. Sequence Use Figure 6.23 to list the ions in Question 2 from smallest to largest. Chemistry & You 183 Extend Connect to PHYSIOLOGY Point out to students that even though hydrogen, oxygen, carbon, and nitrogen are by far the most common atoms in organisms, they are not the only atoms that are necessary for life. Have students research the relative percentages of all the different elements present in the human body and to present their findings to the class. Differentiated Instruction L1 STRUGGLING STUDENTS Help students make a circle graph of the distribution of elements in living organisms as a percentage of body weight. Write these numbers on the board for them to use: oxygen, 61%; carbon, 23%; nitrogen, 2.6%; hydrogen, 10%, and other elements, 3.4%. You may wish to have students use a graphing program to make the graphs, or have them make the graph on the board as a class project. LPR LESS PROFICIENT READERS Have students read the feature together with a partner. First, have students read a paragraph independently, and then have them discuss what they have read with their partners. Afterwards, discuss the feature together as a class. L3 ADVANCED STUDENTS Ask students to research and write a report, including tables, that distinguishes between the percentages by mass and percentages by number of atoms of each of the four main elements in the body. Answers FIGURE 6.24 sizes of atoms and ions; ionization energy and electronegativity TAKE IT FURTHER 1. 2. 3. metals: 2%; nonmetals: 98%; metalloids: 0% sodium: 1+; magnesium: 2+; potassium: 1+; calcium: 2+ magnesium, sodium, calcium, potassium Chemistry & You 183 CHEMISTRY & YOU CHEMISTRY Y SMALL-SCALE LAB Small-Scale Lab Explore Periodicity in Three Dimensions Small-Scale Lab OBJECTIVE Aft After completing l this activity, students should be able to build concrete models to reinforce periodic trends. They should also be able to apply a procedure to a new variable and design a model on their own. PREP TIME 10 minutes Purpose To build three-dimensional models for periodic trends Materials r 96-well spot plate r straws r scissors r metric ruler r permanent fine-line marker CLASS TIME 40 minutes MATERIALS 96-well spot plates, straws, scissors, metric rulers, permanent fine-line markers Procedure ADVANCE PREPARATION Straws with a 1/4-inch 1. Measure the depth of a well in the spot plate by inserting a straw into a well and holding the straw upright as shown in the photograph. Make a mark on the straw at the point where the straw meets the surface of the plate. Measure the distance from the end of the straw to the mark in centimeters (cm). Record this distance as well depth. 2. Cut the straw to a length that is 4.0 cm plus well depth. The straw will extend exactly 4.0 cm above the surface of the plate. 3. Fluorine has an electronegativity value of 4.0. On a scale of 1.0 cm equals 1.0 unit of electronegativity, the portion of the straw that extends above the surface of the plate represents the electronegativity value for fluorine. Using the same scale, cut straws to represent the electronegativity values for all the elements listed in Table 6.2. Remember to add the well depth to the electronegativity value before cutting a straw. As you cut the straws, mark each straw with the chemical symbol of the element that the straw represents. 4. Arrange the straws in the spot plate in rows and columns to match the locations of the elements in the periodic table. diameter fit snugly in the wells. TEACHING TIPS Students can use colored straws to color code groups or periods. If you do not have spot plates, press a lump of clay the size of a golf ball flat on a table with a block of wood. Students can mark out a 1-cm square grid and insert the straws in the clay. EXPECTED OUTCOME Students produce 3-D models for periodic trends. ANALYZE AND CONCLUDE 1. 2. 3. 4. 5. fluorine Electronegativity generally increases from left to right along a period. Metals, which are on the left side of the table, have lower electronegativity values than nonmetals, which are on the right. Electronegativity generally increases from bottom to top within a group. Except for boron, the rest of Group 3A shows a reverse in this trend. Hydrogen is placed in Group 1A based on its electron configuration, but is classified as a nonmetal. Analyze and Conclude 1. Use Models Which element represented in your model is the most electronegative? 2. Use Models Based on your model, what is the general trend in electronegativity from left to right across a period? FOR ENRICHMENT Have students use the data on page R37 to make a 3-D model of trends in atomic size for transition metals. YOU’RE THE CHEMIST 1. 2. 3. Students divide the values of first ionization energies by 300 and measure the appropriate length of straws. Students must determine their own scale before they begin. Students often use two wells to represent both ionic and atomic radii. Other students cut a straw to a length that represents the larger radius of an atom and mark the straw to show the smaller radius of the corresponding cation. The value for xenon is similar to iodine, which is consistent with the general trend. Based on this value, xenon appears to have the ability to attract electrons and form compounds. 184 Chapter 6 • Small-Scale Lab 184 $IBQUFSt4NBMM4DBMF-BC 3. Interpret Diagrams Relate the trend in electronegativity across a period to the location of metals and nonmetals in the periodic table. 4. Use Models Based on your model, what is the general trend in electronegativity within a group? Are there any notable exceptions? 5. Explain Why do you think that the electronegativity value for hydrogen is so high given its location in the periodic table? You’re the Chemist 1. Design an Experiment Construct a similar three-dimensional model for first ionization energies. Use the data in Table 6.1 to construct the model. Use a scale of 1.0 cm equals 300 kJ/mol. 2. Design an Experiment Design and construct a three-dimensional model that shows trends in atomic and ionic radii for the elements in Groups 1A and 7A. Devise a way to display both ionic and atomic radii in the same model. 3. Analyze Data Xenon has an electronegativity value of 2.6. Cut and place a straw in your first model to represent xenon. Does xenon support the trend for electronegativity across a period? Is xenon likely to form compounds? Explain your answers.