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Im Dokument Elastische Eigenschaften von Kolloidkristallen (Seite 107-149)

A

aus Dispersionsrelationen mit "Squire-Methode"

T=0-Rechnung

2(C 44 -C 12 )/(C 12 +C 44 )

φ[%]

0 1 2 3

λ (q) ⋅ a 2 /k B T × 10 -3

φ =40%

0 1

Γ K K X Γ K K X Γ X Γ L Γ

ς =q ⋅ a φ=33%

[ς,ς,0]→ [ς,ς,0]→ [ς,0,0]→ [ς,ς,ς] →

0

-0.15 -0.1 -0.05 0 0.05 0.1 0.15 P[ η K ] a.u.

η K (K=++, ij, ii) φ =31%

φ =35%

φ =38%

φ =40%

φ =46.5% η ++

η 12 , η 13 , η 23 η 44 , η 55 , η 66

0.02

0 0.25 0.5 0.75 1

0 2 -1/2 1 2 1/2 C K (r)

r/a

C ++ (r) C ij (r) C ii (r)

0 2 -1/2 1 2 1/2 r/a

0 0.005 0.01 0.015 0.02 0.025

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 S Lb K ⋅ x /d 3

x L b =v 0 1/3

S ++

S ij S ii

η _K (K=++, ij, ii) φ =31%

φ =46.5% η ₊₊

η ₁₂ , η ₁₃ , η ₂₃ η ₄₄ , η ₅₅ , η ₆₆

0 2 ^-1/2 1 2 ^1/2 C K (r)

C ₊₊ (r) C _ij (r) C _ii (r)

0 2 ^-1/2 1 2 ^1/2 r/a

x L _b =v ₀ ^1/3

S ₊₊

S _ij S _ii