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Key Concepts: Understanding Atomic Structure - Ziegler, Fall 04, Chapters 6-7, 9th edition, Study notes of Chemistry

The key concepts and assigned problems for students in a university-level physics course on atomic structure, focusing on chapters 6 and 7 from the 9th edition of ziegler's textbook. Topics such as wavelength, frequency, energy of light, excited atoms, energy levels in the hydrogen atom, and electron configurations for various elements. Students are expected to read specific pages and complete assigned problems related to these topics.

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CH 221 – Ziegler KEY CONCEPTS Fall 04
Chapters 6,7 9th edition
Class period 1 – Reading pp. 199-201.
1. Relate wavelength, frequency, and energy of light. Problem 6.8 a, b
Class period 2 – Reading pp. 202-209; 212-214
2. State, or recognize, a brief explanation as to why excited atoms emit only certain wavelengths of
light.
3. Rank the energy difference between energy levels in the hydrogen atom. See Figure 6.13
4. Use the Bohr model to calculate wavelength of lines in the hydrogen spectrum. Problems 6.28
Class period 3 – Reading pp. 215m-217, 218 – 224 (m); 225(m) – 226; 249 - 250 (b) (short
section of Chapter 7)
5. State the physical significance of ψ2 for an electron in an atom.
6. Identify the quantum numbers and capacities of energy levels, sublevels, and orbitals. Problems
6.42, 6.44, 6.46, 6.55.
7. Write electron configurations of atoms and ions. Problems 6.57, 6.60 a-e.
8. Write orbital diagrams for atoms and ions. Problem 6.61 and this: Write electron configurations
for Na0, Na+, Cl0, Cl-, Ne, C0, N0, Al0, Al+3, Ti+2, Ti+4
9. State the number of unpaired electrons in the ground state of an atom or ion. Problem 6.62 a-d.
Class period 4 – Reading pp. 239 – 249 (m).
10. Identify periodic trends in radii, ionization energy, and electron affinity. Problems 7.16 b), 7.18*,
7.20, 7.22, 7.31, 7.43.
*The answer for 7.18 a is wrong in the answer book.
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CH 221 – Ziegler KEY CONCEPTS Fall 04

Chapters 6,7 9 th^ edition

Class period 1 – Reading pp. 199-201.

  1. Relate wavelength, frequency, and energy of light. Problem 6.8 a, b

Class period 2 – Reading pp. 202-209; 212-

  1. State, or recognize, a brief explanation as to why excited atoms emit only certain wavelengths of light.
  2. Rank the energy difference between energy levels in the hydrogen atom. See Figure 6.
  3. Use the Bohr model to calculate wavelength of lines in the hydrogen spectrum. Problems 6.

Class period 3 – Reading pp. 215m-217, 218 – 224 (m); 225(m) – 226; 249 - 250 (b) (short section of Chapter 7)

  1. State the physical significance of ψ^2 for an electron in an atom.
  2. Identify the quantum numbers and capacities of energy levels, sublevels, and orbitals. Problems 6.42, 6.44, 6.46, 6.55.
  3. Write electron configurations of atoms and ions. Problems 6.57, 6.60 a-e.
  4. Write orbital diagrams for atoms and ions. Problem 6.61 and this: Write electron configurations for Na^0 , Na+, Cl^0 , Cl-, Ne, C^0 , N^0 , Al^0 , Al+3, Ti+2, Ti+
  5. State the number of unpaired electrons in the ground state of an atom or ion. Problem 6.62 a-d.

Class period 4 – Reading pp. 239 – 249 (m).

  1. Identify periodic trends in radii, ionization energy, and electron affinity. Problems 7.16 b), 7.18*, 7.20, 7.22, 7.31, 7.43.

*The answer for 7.18 a is wrong in the answer book.

CH 221 – Ziegler KEY CONCEPTS Fall 04

Chapters 6,7 9 th^ edition

Answers to Assigned problems 6.8 a) ν = 5.02 x 10^14 s-

b) λ = 2.5 x 10-5^ m

6.28 a) ∆E = 2.09 x 10-18J ; ν= 3.15 x 10^15 s-1^ ; λ = 9.49 x 10-8^ m (emitted)

b) ∆E = 4.09 x 10-19^ J; ν= 6.16 x 10^14 s-1^ ; λ = 4.87 x 10-7^ m (emitted) c) ∆E = 7.57 x 10-20^ J; ν= 1.14 x 10^14 s-1^ ; λ = 2.63 x 10-6^ m (absorbed)

6.42 a) For n =3, there are 3 ℓ values (2,1,0) and 9 mℓ values (ℓ=2; mℓ = -2, -1, 0,1,2; ℓ=1; mℓ = -1, 0,1; ℓ=0; mℓ = 0)

b) For n =5, there are 5 ℓ values (4,3,2,1,0) and 25 mℓ values (ℓ=4; mℓ = -4,-3,-2, -1, 0,1,2,3,4;

(ℓ=3; mℓ = -3,-2,-1, 0,1,2,3; ℓ=2; mℓ = -2,-1, 0,1,2; ℓ=1; mℓ = -1, 0,1; ℓ=0; mℓ = 0)

In general, for each principle quantum number, n , there are n ℓ- values and n^2 mℓ - values. For each shell, there are n kinds of orbitals, and n^2 total orbitals. 6.44 a) 2,1,1; 2,1,0; 2,1,- b) 5,2,2; 5,2,1; 5,2,0; 5,2,-1; 5,2,-

6.46 a) permissible, 2p b) forbidden, for ℓ=0; mℓ can only be 0.

c) permissible, 4 d d) forbidden, for n = 3, the largest ℓ value is 2. 6.55 See text page A- 6.57 See text page A- 6.60 a) Al:[Ne]3s^2 3p^1 b) Sc: [Ar]4s^2 3d^1 c) Co: [Ar]4s^2 3d^7 d) Br: [Ar]4s^2 3d^10 4p^5 e) Ba: [Xe]6s^2 Na^0 1s^2 2s^2 2p^6 3s^1 Na+^ 1s^2 2s^2 2p^6 3s^0 Cl^0 1s^2 2s^2 2p^6 3s^2 3p^5 Cl-^ 1s^2 2s^2 2p^6 3s^2 3p^6 Ne 1s^2 2s^2 2p^6 C^0 1s^2 2s^2 2p^2

N^0 1s^2 2s^2 2p^3 Al^0 1s^2 2s^2 2p^6 3s^2 3p^1 Al+3^ 1s^2 2s^2 2p^6 Ti+2^ 1s^2 2s^2 2p^6 3s^2 3p^6 4s^0 3d^2 Ti+4^ 1s^2 2s^2 2p^6 3s^2 3p^6 4s^0 3d^0

6.62 a) Ti: [Ar] 4 s 3 d

↑ ↓ ↑ ↑ 2 unpaired electrons

b) Ga: [Ar] 4 s 3 d 4 p

↑↓ ↑↓ ↑↓ ↑↓ ↑↓ ↑↓ ↑ 1 unpaired electron

c) Rh: [Kr] 5 s 4 d

↑↓ ↑↓ ↑↓ ↑ ↑ ↑ 3 unpaired electrons

d) I: [Kr] 5 s 4 d

5 p

1 unpaired electron

7.16 b) S<Si<Se<Ge 7.18 a) K<Rb<Cs b) Te<Sn<In c) Cl<P<Sr 7.20 a) More electrons=larger object b) ion sizes increase going down a column

c) More electrons=larger atom/ion; also Fe+ has a half-filled shell, for minimum repulsion and smaller size. 7.22 Ca>Ca+2>Mg+ 7.31 See Text A- 7.43 See Text A-