Physical Chemistry Third Edition

1342 K Answers to Numerical Exercises and Odd-Numbered Numerical Problems

23.19
b. ForJ0,λ 0 .2601 cm
ForJ1,λ 0 .1301 cm
ForJ2,λ 0 .08671 cm
ForJ3,λ 0 .06504 cm

23.21
a. λBC 1. 2082 × 10 −^4 cm 1. 208 μm
b. splitting 41 .912 cm−^1
c.λP 1. 214 × 10 −^4 cm 1. 214 μm
λR 1. 202 × 10 −^4 cm 1. 202 μm

23.23
1 /λ 22 .027 cm−^1 ,44.054 cm−^1 ,66.081 cm−^1 ,
and so on.Jmp 2

23.25
(a) CH 3 Cl and (c) NH 3

23.27
For the fundamental band,
1
λBC

 2558 .54 cm−^1

For the first overtone band,
1
λBC

 5026 .64 cm−^1

For the second overtone band,
1
λBC

 7404 .30 cm−^1

For thev1tov2 transition,
1
λBC

 2468 .10 cm−^1

23.29
ForJmp2,T191 K
ForJmp3,T373 K

23.31

c.ForJ0,

1

λR

 4263 .6cm−^1

ForJ1,

1

λR

 4267 .3cm−^1

ForJ2,

1

λR

 4271 .0cm−^1

23.33
Forv′′0 andv′ 0

band origin:

1

λ

77422 cm−^1

Lines at 77440 cm−^1 , 77456 cm−^1 , 77440 cm−^1

and 77377 cm−^1

Forv′′0 andv′1,

band origin:

1

λ

80106 cm−^1

Lines at 80124 cm−^1 80140 cm−^1 , 80084 cm−^1

and 80061 cm−^1

Forv′′1 andv′0,

band origin:

1

λ

74431 cm−^1

Lines at 74449 cm−^1 , 74465 cm−^1 , 74409 cm−^1

and 74386 cm−^1

23.35

712 .1cm−^1 : bend

2089 .0cm−^1 : symmetric stretch

3312 .0cm−^1 : asymmetric stretch

1412 .0cm−^1 : first overtone of the bend

2116 .7cm−^1 : second overtone of the bend

2800 .3cm−^1 : is a combination band: bend and

symmetric stretch

4004 .5cm−^1 : combination band: bend and asymmetric

stretch

5394 cm−^1 : combination band: symmetric stretch and

asymmetric stretch

6521 .7cm−^1 : first overtone of the asymmetric stretch

23.37

overtones near 1178 cm−^1 , 2570 cm−^1 , and 4447 cm−^1

bend–symmetric stretch combination band near

1874 cm−^1

bend–asymmetric stretch combination band near

2228 cm−^1

symmetric stretch–asymmetric stretch combination band

near 3508 cm−^1

23.41

a. ν 7. 97 × 1014 s−^1

λ 3. 76 × 10 −^7 m376 nm

b. ν 7. 24 × 1014 s− 1

λ 4. 14 × 10 −^7 m414 nm

23.43

Biphenyl, 9,10-diphenylanthracene, and

trans-1,3-pentadiene

23.45

re 7. 57 × 10 −^11 m 75 .7pm 0 .757 Å