Solutions Manual to Quantum Chemistry [7th ed.] ‎9780321833198

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Solutions Manual to Quantum Chemistry [7th ed.]
‎9780321833198

Author / Uploaded
Ira N. Levine

Table of contents :
Chapter 1......Page 1
Chapter 2......Page 6
Chapter 3......Page 13
Chapter 4......Page 24
Chapter 5......Page 45
Chapter 6......Page 54
Chapter 7......Page 69
Chapter 8......Page 88
Chapter 9......Page 124
Chapter 10......Page 135
Chapter 11......Page 146
Chapter 12......Page 160
Chapter 13......Page 172
Chapter 14......Page 193
Chapter 15......Page 206
Chapter 16......Page 243
Chapter 17......Page 264

Citation preview

Chapter 1

cheminfinity.com @cheminfinity

The Schrödinger Equation

1.1

(a) F; (b) T; (c) T.

1.2

(a) Ephoton = hν = hc / λ = (6.626 × 10–34 J s)(2.998 × 108 m/s)/(1064 × 10–9 m) =

1.867 × 10–19 J. (b) E = (5 × 106 J/s)(2 × 10–8 s) = 0.1 J = n(1.867 × 10–19 J) and n = 5 × 1017. 1.3

Use of Ephoton = hc /λ gives E=

1.4

(6.022 × 1023 )(6.626 × 10−34 J s)(2.998 × 108 m/s) = 399 kJ 300 × 10−9 m

(a) Tmax = hν − Φ =

(6.626 × 10–34 J s)(2.998 × 108 m/s)/(200 × 10–9 m) – (2.75 eV)(1.602 × 10–19 J/eV) = 5.53 × 10–19 J = 3.45 eV. (b) The minimum photon energy needed to produce the photoelectric effect is (2.75 eV)(1.602 × 10–19 J/eV) = hν =hc/λ = (6.626 × 10–34 J s)(2.998 × 108 m/s)/λ and λ = 4.51 × 10–7 m = 451 nm. (c) Since the impure metal has a smaller work function, there will be more energy left over after the electron escapes and the maximum T is larger for impure Na. 1.5

(a) At high frequencies, we have ebν /T >> 1 and the −1 in the denominator of Planck’s formula can be neglected to give Wien’s formula. (b) The Taylor series for the exponential function is e x = 1 + x + x 2 /2! + ". For x