=

= 0,
2
z
p
< > = 3a
2
10. 3λ/4α
4
11. ∆E 0 = 0, ∆E 1 = ± λl
2
(16/9π
2
)
2
Chapter 4
1. 2E 1 , – E 1
2. 13e
–4
, 0
3. E = E 1 /4
4. a 1 , 4e
–2
/a 1
5. 10
–10
Z
2
E 1
7. E µ = bE e , r µ = r e /b, b = m µ (m p + m e )/m e (m p + m µ )
8. v 1 = 2.462 × 10
15
2
1
11
1
s ,
48
−


+
α




v 2 = 2.462 × 10
15
2
1
5
1
s
16
−


+ α




9. 7 lines
10. S 0 , S 1 , P 0 , P 1 , P 1 , P 2 ; P 1 → S 1 , P 1 → S 0 ,
P 0 → S 1 , P 2 → S 1 , P 1 → S 1 , P 1 → S 0
Chapter 5
3. 1, 9
6.
2
S 1/2 ,
1
S 0 ,
2
D 3/2 ,
3
F 2 ,
4
F 3/2 ,
7
S 3 ,
6
S 5/2 ,
5
D 4 ,
4
F 9/2 ,
3
F 4 ,
2
S 1/2 ,
1
S 0
7. C LS
2
= 0.6 eV
8. 2.1 eV
9. 25.6 kV, 3.8 kV; 0.57 Å; 0.48 Å, 3.3 Å
10. 40; 11.1 keV
11. 4.13 × 10
–15
12. 6.8 keV
13. 3.8 eV
14. 470 N/m, 1.27 Å
15. 0.059
Chapter 6
1. ∆E = 2
e B
m
±
, 0; ± 0.00160 Å, 0; ± 0.208 Å, 0
2. ∆v =
4
4
4
5
3
J
J
eB
M
M
m


−
′


π 

; max ∆λ is 0.5 Å