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Chapter 10 The amazing colors in these fireworks explosions are the result of electrons transferring between energy levels in atoms. Chapter Outline 10.1 A Brief History 10.2 Electromagnetic Radiation 10.3 The Bohr Atom 10.5 Atomic Structures of the First 18 Elements 10.6 Electron Structures and the Periodic Table 10.4 Energy Levels of Electrons Copyright 2012 John Wiley & Sons, Inc 10-2 Objectives for Today Historical models of the atom Electromagnetic radiation & the atom Electron configurations 10-3 Democritus • Greek natural philosopher • Concept of “Atomos” 4 Dalton’s Atomic Theory In Dalton’s atomic theory, atoms • are tiny particles of matter. • of an element are similar and different from other elements. • of two or more different elements combine to form compounds. • are rearranged to form new combinations in a chemical reaction. 5 Rutherford’s Gold Foil Experiment Copyright © 2009 by Pearson Education, Inc. 6 Rutherford’s Gold Foil Experiment In Rutherford’s gold foil experiment, positively charged particles were aimed at atoms of gold. Most went straight through the atoms. A few were deflected. Conclusion: There must be a small, dense, positively charged nucleus in the atom that deflects positive particles that come close. 7 Atoms • Tiny…about 10-10 m – If the atoms in your body were 1 in. in diameter, you’d bump your head on the moon. • Huge number of atoms in even a small sample of an element – 1/2 carat diamond has 5 1021 atoms…if lined up, would stretch to the sun. Electromagnetic Radiation Frequency tells how many waves pass a particular point per second. Speed tells how fast a wave moves through space. Figure 10.1 The wavelength of this wave is shown by λ. It can be measured from peak to peak or trough to trough. Copyright 2012 John Wiley & Sons, Inc 10-9 The Electromagnetic Spectrum Visible light is only a small part of the electromagnetic spectrum. Copyright 2012 John Wiley & Sons, Inc 10-10 Your Turn! • The number of waves that pass a particular point per second is known as a. Frequency b. Wavelength c. Amplitude d. Speed Copyright 2012 John Wiley & Sons, Inc 10-11 Your Turn! • The color of visible light is determined by its a. Speed b. Wavelength c. Amplitude Copyright 2012 John Wiley & Sons, Inc 10-12 Bohr Model (1912-1913) • Danish physicist Niels Bohr proposed that electrons in an atom are organized into discrete energy levels. • He pictured the negative electrons in orbits around the positive nucleus. • His evidence: the line spectra of the elements. Copyright 2012 John Wiley & Sons, Inc 10-13 Line Spectrum • Atoms absorb energy to give off light.. • Prisms or diffraction gratings separate the light into a line spectrum for the element. Copyright 2012 John Wiley & Sons, Inc 10-14 Line Spectrum Copyright 2012 John Wiley & Sons, Inc 10-15 Why so many lines? Absorbed energy 5 4 3 Released energy 2 Each line in the spectrum corresponds to electrons moving from a higher energy level to a lower energy level. 1 Copyright 2012 John Wiley & Sons, Inc 10-16 Your Turn! • The lowest possible energy level for an electron is known as a. Low state b. Ground state c. Basement state d. Excited state Copyright 2012 John Wiley & Sons, Inc 10-17 Bohr Model • Was based on electrons having fixed energy levels and therefore quantized amounts of energy. • Accounted for spectral lines. • Worked very well for hydrogen but did not work well for heavier atoms. • Another model is needed that describes the behavior of electrons as waves. Copyright 2012 John Wiley & Sons, Inc 10-18 Ways to deal with Complexity and Uncertainty • Analogies In order to communicate something of the nature of the electron, scientists often use analogies. For example, in some ways, electrons are like vibrating guitar strings. • Probabilities In order to accommodate the uncertainty of the electron’s position and motion, we refer to where the electron probably is within the atom instead of where it definitely is. Guitar String Waveform Allowed Vibrations for a Guitar String Wave Character of the Electron • Just as the intensity of the movement of a guitar string can vary, so can the intensity of the negative charge of the electron vary at different positions outside the nucleus. • The variation in the intensity of the electron charge can be described in terms of a threedimensional standing wave like the standing wave of the guitar string. Wave Character of the Electron • Although both the electron and the guitar string can have an infinite number of possible waveforms, only certain waveforms are possible. • We can focus our attention on the waveform of varying charge intensity without having to think about the actual physical nature of the electron. Waveform for 1s Electron The Wave-Mechanical Model • This mathematical model of the atom describes the energy of the electron with some certainty, but the actual location of the electron is uncertain. • An orbital is the region in space where there is a high probability of finding an electron with a given energy. Copyright 2012 John Wiley & Sons, Inc 10-25 1s Orbital Particle Interpretation of 1s Orbital Energy Levels of Electrons • Electrons in atoms are organized into discrete principal energy levels (n, where n is an integer). • Lowest energy level is n = 1, then n = 2, etc. • As n increases, the energy of the electron increases, and the electron is on average further from the nucleus. Copyright 2012 John Wiley & Sons, Inc 10-28 Sublevels Energy levels are subdivided into sublevels. n = 1 has the sublevel 1s. n = 2 has the sublevels 2s and 2p. Each sublevel is made up of orbitals of the same type and energy. Copyright 2012 John Wiley & Sons, Inc 10-29 Electron Spin Each electron in an atom appears to be spinning on its axis. Pauli exclusion principle states that an atomic orbital can hold a maximum of two electrons, which must have opposite spin. What is the maximum number of electrons in any orbital? 2 Copyright 2012 John Wiley & Sons, Inc 10-30 Electron Spin Pauli Exclusion Principle • No two electrons in an atom can be the same in all ways. • There are four ways that electrons can be the same: Electrons can be in the same principal energy level. They can be in the same sublevel. They can be in the same orbital. They can have the same spin. Some Allowed Waveforms s Sublevels • Every principal energy level has an s sublevel that contains a single s orbital. (1s, 2s, 3s, etc.) • There is a 90% probability of finding the electron within a spherical region surrounding the nucleus. • Each s orbital holds 2 electrons with opposite spin. Copyright 2012 John Wiley & Sons, Inc 10-34 p Sublevels • Every principal energy level starting at n = 2 has a p sublevel (2p, 3p, etc.) that contains 3 equal energy p orbitals. The orbitals only differ by their orientation in 3-D space. Copyright 2012 John Wiley & Sons, Inc 10-35 Your Turn! • What is the maximum number of electrons in a 2p orbital? A 2p sublevel holds 6 electrons, 2 a. 2 electrons per orbital. b. 4 c. 6 d. 8 Copyright 2012 John Wiley & Sons, Inc 10-36 d Sublevels • Every principal energy level starting at n = 3 has a d sublevel (3d, 4d, etc.) that contains 5 equal energy d orbitals. These orbitals have more complex shapes and are higher in energy than the s and p orbitals. Copyright 2012 John Wiley & Sons, Inc 10-37 Your Turn! • What is the maximum number of electrons in a 3d sublevel? A 3d sublevel has 5 orbitals, so it holds a. 2 10 electrons, 2 electrons per orbital. b. 4 c. 6 d. 10 Copyright 2012 John Wiley & Sons, Inc 10-38 Objectives for Today Historical models of the atom Electromagnetic radiation & the atom Electron configurations 10-39 Objectives for Today Atomic configurations The Periodic Table 40 Principal Energy Levels Principal Energy levels • are assigned numbers n = 1, 2, 3, 4, and so on. • increase in energy as the value of n increases. • are like the rungs of a ladder with the lower energy levels nearer the nucleus. 41 Summary of Electronic Configurations Principal Energy Levels (n) have a maximum number of electrons equal to 2n2. Principal Energy level n=1 n=2 n=3 Maximum number of electrons 2(1)2 = 2(1) = 2 2(2)2 = 2(4) = 8 2(3)2 = 2(9) = 18 The number of subshells is the same as n 42 Summary of Electronic Configurations • Each subshell is composed of orbitals • The number of orbitals depends on the subshell • Maximum of 2 electrons per orbital Subshell Number of Orbitals Electrons s 1 2 p 3 6 Copyright 2012 John Wiley & Sons, Inc d 5 10 f 7 14 10-43 Orbitals An orbital • is a three-dimensional space around a nucleus, where an electron is most likely to be found. • has a shape that represents electron density (not a path the electron follows). • can hold up to 2 electrons. 44 Orbitals An s orbital •has a spherical shape around the nucleus. •is found in each energy level. A p orbital • has a two-lobed shape. • is one of three p orbitals in each energy level from n = 2. Three p orbitals make up a p subshell 45 Orbitals 46 Electron Level Arrangement In the electron level arrangement for the first 18 elements • electrons are placed in energy levels (1, 2, 3, etc.), beginning with the lowest energy level • there is a maximum number in each energy level. Energy level Number of electrons 1 2 (up to He) 2 8 (up to Ne) 3 8 (up to Ar) 4 2 (up to Ca) 47 Rules for Distributing Electrons 1. No more than two electrons can occupy one orbital. 2. Electrons occupy the lowest energy orbitals available. s < p < d < f for a given value of n 3. Each orbital in a sublevel is occupied by a single electron before a second electron enters. (Hunds Rule) Copyright 2012 John Wiley & Sons, Inc 10-48 Your Turn! • In the fourth principal energy level (n = 4), which sublevel contains electrons with the greatest energy? a. 4s b. 4p c. 4d d. 4f Copyright 2012 John Wiley & Sons, Inc 10-49 Your Turn! • How many orbitals are found in a 5p sublevel? a. 1 b. 3 c. 5 d. 7 Copyright 2012 John Wiley & Sons, Inc 10-50 Your Turn! • What is the maximum number of electrons that can occupy the third principal energy level (n = 3)? a. 2 b. 6 c. 8 d. 18 Copyright 2012 John Wiley & Sons, Inc 10-51 An atom consists • of a nucleus that contains protons and neutrons. • of electrons in a large, empty space around the nucleus. Copyright © 2009 by Pearson Education, Inc. 52 Different Expressions of Atomic Structure • One way to indicate atomic structure shows the structure of the nucleus and the number of electrons in each energy level. Copyright 2012 John Wiley & Sons, Inc 10-53 Electron Configuration • Another useful atomic structure shows the distribution of electrons in the atom. Copyright 2012 John Wiley & Sons, Inc 10-54 Orbital Diagrams • Electron configurations can also be shown with orbital diagrams. Each box represents an orbital. • Up and down arrows represent electrons of opposite spin. Copyright 2012 John Wiley & Sons, Inc 10-55 Atomic Structure • 3Li 1s22s1 1s 1s 2s • 5B • 6C • • 7N • • 8O • 1s22s2 4Be 2s 1s22s22p1 1s 2s 2p 1s 2s 2p 1s22s22p2 1s 2s 2p 1s22s22p2 1s 2s 2p 1s22s22p2 Copyright 2012 John Wiley & Sons, Inc 10-56 Atomic Structure Copyright 2012 John Wiley & Sons, Inc 10-57 Atomic Structure Remember to sum the superscripts in the electron configuration. They should add up to the atomic number for the element. Copyright 2012 John Wiley & Sons, Inc 10-58 Valence Electrons • The valence electrons include all of the electrons in the highest principal quantum number (the outermost energy level). • These electrons are the electrons that are involved in bonding. • Phosphorus: 1s2 2s2 2p6 3s2 3p3 • Phosphorus has 5 valence electrons. Copyright 2012 John Wiley & Sons, Inc 10-59 Your Turn! • Atoms of which element have the following electron configuration? • 1s2 2s2 2p6 3s23p6 a. Cl b. Ca c. Ar d. S Copyright 2012 John Wiley & Sons, Inc 10-60 Periodic Table 61 Groups and Periods Copyright © 2009 by Pearson Education, Inc. 62 Groups and Periods On the periodic table, • elements are arranged according to similar properties. • groups contain elements with similar properties in vertical columns. • periods are horizontal rows of elements. 63 The Periodic Table • Each horizontal row in the periodic table is called a period. • The number of each period corresponds to the outermost energy level of the element. • For example, Ar is in period 3 and its outermost energy level is 3. • 1s2 2s2 2p6 3s23p6 • Argon has 8 electrons in energy level 3. Copyright 2012 John Wiley & Sons, Inc 10-64 The Periodic Table • Groups or Families contain elements whose properties are similar. • Representative Elements – A Groups • Alkali Metals –1A • Alkaline Earth Metals – 2A • Halogens – 7A • Noble Gases – 8A Copyright 2012 John Wiley & Sons, Inc 10-65 Other Groups to Know • Transition Metals – B Groups • Inner Transition Metals – Lanthanides (Rare Earth) – Atomic Nos. 58 -71 – Actinides – Atomic Nos. 90 – 103 Copyright 2012 John Wiley & Sons, Inc 10-66 Your Turn! • Which element is a transition element? a. sodium b. fluorine c. copper d. lead Copyright 2012 John Wiley & Sons, Inc 10-67 Your Turn! • Chlorine is a member of what family of elements? a. Noble gases b. Alkali metals c. Halogens d. Chalcogens Copyright 2012 John Wiley & Sons, Inc 10-68 Valence Electrons and Groups In the following groups, the group number is the number of valence electrons. Elements within a group have the same valence electron configuration. 10-69 Your Turn! • In which category of the periodic table does each element contain valence electrons in the second principal energy level? a. The alkaline earth elements b. The alkali metals c. Group 2A d. Period 2 Copyright 2012 John Wiley & Sons, Inc 10-70 Your Turn! • On the periodic table, elements in the same group contain the same number of a. Protons b. Electrons c. Principal energy levels in their ground state d. Valence electrons in their ground state Copyright 2012 John Wiley & Sons, Inc 10-71 Electron Configurations and the Periodic Table Copyright 2012 John Wiley & Sons, Inc 10-72 Electron Configurations and the Periodic Table 1. The number of the period corresponds with the highest occupied energy level. 2. The group numbers for the representative elements are equal to the total number of valence electrons. 3. The elements within a group have the same number of valence electrons. 4. The elements within each of the s, p, d, f blocks are filling s, p, d, f orbitals. 5. There are discrepancies within the transition elements. Copyright 2012 John Wiley & Sons, Inc 10-73 Order of Electron Energies Order of Electron Energies Abbreviated Electron Configurations Use the symbol of the nearest preceding noble gas to represent the electron configuration of the core electrons. Phosphorus: 1s2 2s2 2p6 3s2 3p3 Core Electrons [Ne] 3s2 3p3 Copyright 2012 John Wiley & Sons, Inc Valence Electrons 10-76 Your Turn! • The electron configuration, [Ar] 4s1, is the ground state electron configuration of a. Potassium b. Phosphorous c. Fluorine d. Sodium Copyright 2012 John Wiley & Sons, Inc 10-77 Your Turn! • The electron configuration, [Ne] 3s2 3p1, is the ground state electron configuration of a. Sodium b. Aluminum c. Argon d. Sulfur Copyright 2012 John Wiley & Sons, Inc 10-78 Objectives for Today Atomic configurations The Periodic Table 79