se Show that the (1, 0, 0) and (2, 0, 0) wave functions listed in Table 7.1 are properly normalized. CL n 1 IU m 1 0 0 1 2 0 0 2 1 0 2 1 ±1 3 0 0 2 R(r) 3/2 ao e-r/a se (200)/2 (2) 1 √√3 (240)3/2 ao 1 √√3 (200)3/2 ao 2r e-r/200 e-r1200 e-r/200 (39)3/2 (1-37 +277 8 3 1 0 3a0 r 9√2(3a0)3/20 8 3 1 ±1 3 2 0 3 2 9√√2(300)3/2 ao 4 27/10(3a0)3/2 a 4 F ±1 3 2 ±2 27√10(3a0)3/2 a 4 27√10(3a0)3/2 a e 8(0) Φ(Φ) 1 √2 --4 cos 0 32 1 e-1/300 e-r/300 干 32 1 √2 sin e COS etip Σπ e-1/300 6a √√3 F sin 0 2 1 tig e -1/300 √√√3 (13 cos²0 - -1) se-/300 15 1 F sin cos 0 etio 4 2-11300 V15 sin20 1 4

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Show that the (1, 0, 0) and (2, 0, 0) wave functions listed
in Table 7.1 are properly normalized.
CL
Transcribed Image Text:se Show that the (1, 0, 0) and (2, 0, 0) wave functions listed in Table 7.1 are properly normalized. CL
n
1
IU
m
1
0
0
1
2
0
0
2
1
0
2
1
±1
3
0
0
2
R(r)
3/2
ao
e-r/a
se
(200)/2 (2)
1
√√3 (240)3/2 ao
1
√√3 (200)3/2 ao
2r
e-r/200
e-r1200
e-r/200
(39)3/2 (1-37 +277
8
3
1
0
3a0
r
9√2(3a0)3/20
8
3
1
±1
3
2
0
3
2
9√√2(300)3/2 ao
4
27/10(3a0)3/2 a
4
F
±1
3
2
±2
27√10(3a0)3/2 a
4
27√10(3a0)3/2 a
e
8(0)
Φ(Φ)
1
√2
--4
cos 0
32
1
e-1/300
e-r/300
干
32
1
√2
sin e
COS
etip
Σπ
e-1/300
6a
√√3
F sin 0
2
1
tig
e
-1/300
√√√3 (13 cos²0 -
-1)
se-/300
15
1
F
sin cos 0
etio
4
2-11300
V15 sin20
1
4
Transcribed Image Text:n 1 IU m 1 0 0 1 2 0 0 2 1 0 2 1 ±1 3 0 0 2 R(r) 3/2 ao e-r/a se (200)/2 (2) 1 √√3 (240)3/2 ao 1 √√3 (200)3/2 ao 2r e-r/200 e-r1200 e-r/200 (39)3/2 (1-37 +277 8 3 1 0 3a0 r 9√2(3a0)3/20 8 3 1 ±1 3 2 0 3 2 9√√2(300)3/2 ao 4 27/10(3a0)3/2 a 4 F ±1 3 2 ±2 27√10(3a0)3/2 a 4 27√10(3a0)3/2 a e 8(0) Φ(Φ) 1 √2 --4 cos 0 32 1 e-1/300 e-r/300 干 32 1 √2 sin e COS etip Σπ e-1/300 6a √√3 F sin 0 2 1 tig e -1/300 √√√3 (13 cos²0 - -1) se-/300 15 1 F sin cos 0 etio 4 2-11300 V15 sin20 1 4
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