第13讲习题讨è&r

第13讲习题讨è&r

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Unformatted text preview: I 13.1 a c Cu K Mg CsCl NaCl Conventional unit cell W S 13.2 ρ m = m a m [ ] ∑ ∆ ⋅ − = k a im u exp x x x M M m m − − = ∑ − = 1 1 1 M ( ) [ ] ( ) [ ] k a k a ∆ ⋅ − − ∆ ⋅ − − = i iM u exp 1 exp 1 (1) | u | 2 ( ) ( ) k a k a ∆ ⋅ ∆ ⋅ = ≡ ∗ 2 1 2 2 1 2 2 sin sin M u u u (2) a · ∆ k = 2 π h ( h ) ∆ k a · ∆ k = 2 π h + ε ε ε ( ) k a ∆ ⋅ M 2 1 sin ε = 2 π / M 1/ M M (1) ( ) ( ) ∫ ⋅ ∆ − = r k r r i n d u exp ( ) ( ) 1 , M m m m n m δ − = = = ∑ r r- a ρ ρ ( ) ( ) 1 exp M m m u d i δ − = = ⋅ − ∆ ⋅ ∑ ∫ r r- k r ρ ( ) ∑ − = ⋅ ∆ − = 1 exp M m m i a k )] ( exp[ 1 )] ( exp[ 1 k a i k a iM G G G G ∆ ⋅ − ∆ ⋅ − − = 2 * 1 exp[ ( )] 1 exp[ ( )] 1 exp[ ( )] 1 exp[ ( )] iM iM u u u i i − ⋅ ∆ − − ⋅ ∆ = = ⋅ − ⋅ ∆ − ⋅ ∆ a k a k a k a k 2 exp[ ( )] exp[ ( )] 2 exp[ ( )] exp[ ( )] iM iM i i − ⋅ ∆ − − ⋅ ∆ = − ⋅ ∆ − − ⋅ ∆ a k a k a k a k 2 2 1 sin ( ) 1 cos[ ( )] 2 1 1 cos[ ] sin ( ) 2 M M ⋅ ∆ − ⋅ ∆ = = − ⋅ ∆ ⋅ ∆ a k a k a k a k (2) X a · ∆ k Y u 2 3 1 sin 1 1 1 1 2 cos sin sin cos 1 2 2 2 2 sin 2 MX dY M MX X MX X dX X = −...
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第13讲习题讨è&r

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