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Figure 3.2 Sample cell used for the liquid-liquid interface experiment 30
Figure 3.3 Leica inverted microscope. 34
Figure 3.4 Coolsnap digital camera. 34
Figure 3.5 Trajectories of particles at water-air interface. Each random coil represents
the trajectory of a individual particle. 35
Figure 3.6 Measured MSD as a function of delay timeτ for the PMMA particles (a =
600 nm) at the decalin-wate interface with different area fractions: n=0.035 (squares)
and n=0.15 (circles).本Thesis由代写Thesis 网www.51lunwen.org提供 37
Figure 3.7 Measured correlation function g(τ)-1 as function of decay time τ. 40
Figure 3.8 Measured instantaneous light intensity as a function of time t. 40
Figure 4.1 (a) Optical image of the PMMA particles (a = 600 nm) at the
decalin-water interface with area fraction n = 0.08. (b) Optical image of the PMMA
particles (a = 350 nm) at the decalin-water interface with area fraction n = 0.02.
43
Figure 4.2 Measured pair correlation function g(r) of the PMMA particles (a = 600
nm) at three area fractions: n = 0.015 (squares), n = 0.048 (circles) and n = 0.28
(triangles). 45
Figure 4.3 Normalized interaction potential U(r)/kBT (squares) for the PMMA
particles (a = 600 nm) at area fraction n = 0.015. The dashed line indicates the
interaction potential of hard spheres. 45
Figure 4.4 Measured g(r) of the PMMA particles with a = 350 nm (squares) and a =
600 nm (circles). The measurements are made at area fraction n = 0.01. 46
Figure 4.5 Measured MSD for the PMMA1 particles (squares) at n = 0.2 and for the
PMMA2 particles (circles) at n = 0.058. The solid lines are the linear fits to the data
points. 49
Figure 4.6 Measured MSD for PMMA1 particles (squares) at n = 0.014 and for
PMMA2 particles (circles) at n = 0.008. The solid lines are the linear fits to the data
points. 50
Figure 4.7 (a) Measured vs area fraction n for the PMMA1 particles at the
decalin-water interface. The solid line is a linear fit to the data
points . (b) Measured vs area fraction n for
the PMMA1 particles at the decalin-water interface. The solid curve gives the
parabolic fit to the entire range of area fraction n:
. 51
s
s D
s 0.14(1 1.4 ) ( 2 / )
s D = − n μm s
m s
m s
s
s D
s 0.14(1 1.2 1.06 2 ) ( 2 / )
sD = − n − n μ
Figure 4.8 Measured vs area fraction n for the PMMA2 particles at the
decalin-water interface. The solid line is a linear fit to the data
points: . 52
s
s D
s 0.27(1 2.8 ) ( 2 / )
s D = − n μ
Figure 4.9 Measured vs area fraction n for the PMMA1 s
s D C particles at the
decalin-water interface. The solid line is a linear fit to the data
points s 0.14(1 1.2 ) ( 2 / ) . 55
s D = − n μm s
Figure 5.1 (a) Measured g(r) of the carboxyl-PS spheres at three area fractions: n
=0.12 % (triangles), n=0.38 % (squares), and n=0.6 % (circles). (b) Repulsive
potential U(r)/kBT as a function of r/d extracted from the measured g(r) at n=0.12 %
shown above. The open circles are obtained with the PY corrections. The closed
circles are obtained using the Boltzmann equation U(r)/kBT = −ln[g(r)]. The solid
curve is a fit to the open circles with the fitting function U(r)/kBT = 1008(d/r)3. 58
Figure 5.2 Spatial configuration of the carboxyl-PS spheres at area fraction n = 0.027.
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Figure 5.3(a) Measured g(r) of the carboxyl-PS spheres at three area fractio