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Im Dokument Elastische Eigenschaften von Kolloidkristallen (Seite 59-85)

P[δ x ] P[δ y ] P[δ z ]

0 2000 4000

-1 -0.5 0 0.5 1

P(u i ) a.u.

u i [µm]

kristallin, φ=31%

u x u y u z

0 200 400 600 800 1000

-0.06 -0.04 -0.02 0 0.02 0.04 0.06 P[ ∆ r i ] a.u.

∆r i [µm]

σ x =11 nm σ y =11 nm σ z =23 nm

0 0.01 0.02 0.03 0.04 0.05

0 2 4 6 8 10

msd [ µ m 2 ]

t [s]

D=0.047 µm 2 /s βk=41.1 1/µm 2 ungemittelt

framerate 40Hz x z framerate 20Hz x z fit

0 0.01 0.02 0.03 0.04 0.05 0.06

0 20 40 60 80 100

msd/D [ µ m 2 ]

t [s]

D=0.045 µm 2 /s βk=40.9 1/µm 2

3D 2D fit

0 0.03 0.06

0 0.5 1 1.5 2 2.5

D=0.045 µm 2 /s βk=40.9 1/µm 2

0 2 4 6 8 10 12

1 2 3 4 5 6

g

r/d

φ =3%

φ =7%

φ =9%

φ =13%

φ =18%

φ =21%

φ =28%

φ =31%

φ =1%

d=1.66 µ m

5 10 15 20 25

0 5 10 15 20 25 30 35

φ

κd B fuer κd=7.5 B

-12 -10 -8 -6 -4 -2 0 2 4

1 2 3 4 5 6

g

r/d

B=15, κd=4 B=13, κd=5

B=12, κ d=6

B=11, κ d=8

B=10, κd=9

B=10, κ d=10 B=12, κ d=7

P[δ _x ] P[δ _y ] P[δ _z ]

u _i [µm]

u _x u _y u _z

∆r _i [µm]

σ _x =11 nm σ _y =11 nm σ _z =23 nm

D=0.047 µm ² /s βk=41.1 1/µm ² ungemittelt

D=0.045 µm ² /s βk=40.9 1/µm ²

D=0.045 µm ² /s βk=40.9 1/µm ²