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4 2
0.52 0.68 0.74
4.71 · 10
−29 3
1.28 · 10
−10
8.49 · 10
28 −3
4.08 · 10
−10
1.44 · 10
−10
5.91 · 10
28
3.15 · 10
−10
1.038
(362 ) [111] [111] [111] [111 ]
a 0.5a 1/3a
d
100
= a d
110
= a/
√
2 d
111
= a/
√
3
d
100
= a/2 d
110
= a/
√
2 d
111
= a/2
√
3
d
100
= a/2 d
110
= a/2
√
2 d
111
= a/
√
3
U(a
0
) = −N
A
αe
2
4πε
0
a
0
1 −
1
n
.
α ≈ 1.71
α ≈ 1.752
E = N
A
αe
2
4πε
0
r
0
1 −
1
n
4
1/(n−1)
4
n/(n−1)
E
b
= N
0
αe
2
4πε
0
r
0
1 −
ρ
r
0
, ρ = r
0
1 −
4πε
0
r
0
E
b
N
0
αe
2
.
2.64 · 10
−10
Îòâåòû è óêàçàíèÿ
1. Ïðîñòðàíñòâåííàÿ ðåøåòêà êðèñòàëëà
1. 4; 2.
2. 0.52; 0.68; 0.74.
4. 4.71 · 10−29 3
ì ; 1.28 · 10−10 ì; 8.49 · 1028 −3
ì ;
−10
5. 4.08 · 10 ì; 1.44 · 10−10 ì; 5.91 · 1028.
6. 3.15 · 10−10 ì.
7. Óâåëè÷èòüñÿ â 1.038 ðàç.
8. (362); [111]; [111]; [111]; [111].
9. a; 0.5a; 1/3a.
√ √
11. à) d100 = a; d110 = a/ 2; d111 = a/ 3.
√ √
á) d100 = a/2; d110 = a/ 2; d111 = a/2 3.
√ √
â) d100 = a/2; d110 = a/2 2; d111 = a/ 3.
2. Ýíåðãèÿ ñâÿçè êðèñòàëëîâ
αe2
1
1. U (a0) = −NA 1− .
4πε0 a0 n
2. α ≈ 1.71.
3. α ≈ 1.752.
αe2
1
4. E = NA 1− .
4πε0 r0 n
5. 9.04; 9.61.
6. Óìåíüøàåòñÿ â 41/(n−1) ðàç; âîçðàñòàåò â 4n/(n−1) ðàç.
αe2
ρ 4πε0 r0Eb
7. Eb = N0 1− , ρ = r0 1 − .
4πε0 r0 r0 N0 αe2
8. 2.64 · 10−10 ì.
28
