Physical Chemistry Third Edition

1340 K Answers to Numerical Exercises and Odd-Numbered Numerical Problems

22.15

De

hc

≈42320 cm−^1

22.17

a. λ 0 .29332 cm

ν 1. 02205 × 1011 s−^1

b. λ 0 .14666 cm

ν 2. 0441 × 1011 s−^1

22.19

Jmust be odd

All values ofJoccur with^16 O^17 O

22.21
I 7. 1664 × 10 −^46 kg m^2

22.23

a. σ 2

b. σ 1

c.σ 24

22.25

a. oblate symmetric top

b. asymmetric top

c.spherical top

22.27

a. asymmetric top,σ 2

b. linear,σ 1

c.asymmetric top,σ 1

d. asymmetric top,σ 2

e.prolate symmetric top,σ 6

f. prolate symmetric top,σ 3

22.29

a. 6

b. 4

c. 12

d. 12

e. 18

f. 18

22.31

a. 30

b. 18

c. 18

d. 12

e. 7

f. 12

22.35

17 normal vibrational modes

22.37

a. IAIB 2. 96 × 10 −^45 kg m^2

IC 4. 92 × 10 −^45 kg m^2

b. E1,1 3. 01 × 10 −^24 J

c.population ratio 2. 9978

22.39

a. 30

b. 7 (linear)

c. 12

d. 18

e. 72

f. 7 (linear)

22.41

IAIBIC 5. 78 × 10 −^45 kg m^2

E 1  1. 92 × 10 −^24 J

g 1  9

22.45

a. ratio 5. 128 × 10 −^10

b. ratio 3. 675 × 10 −^8

c.ratio 6. 18 × 10 −^7

22.47

a. ratio 1. 449 × 10 −^6

b. ratio 1. 542 × 10 −^6

c.ratio 3. 01 × 10 −^5

d. ratio 9. 42 × 10 −^5

22.49

Forortho-hydrogen,Jmp 1

Forpara-hydrogen,Jmp 0

22.51

a. E1,1,1 2. 891 × 10 −^23 J, degeneracy 1

E2,1,1 5. 782 × 10 −^23 J, degeneracy 3

E2,2,1 8. 673 × 10 −^23 J, degeneracy 3

b. ν 4. 36 × 1010 s−^1

λ 6. 871 × 10 −^3 m 6 .87 mm

22.53

a. For HF,k965Nm−^1

For HI,k314Nm−^1