Factors Influencing the Shear Modulus of Colloidal Crystals†

doi:10.7503/cjcu20140959

Abstract

Abstract:

Home-made torsional resonance spectroscopy was used to study the shear modulus of colloidal crystals formed by different particles at different volume fractions, while reflection spectrum was used to measure the corresponding crystal structure and internal voids etc. at the same time. The results indicate that shear modulus increases with volume fractions for colloidal crystals formed by same particles. And for colloidal crystals formed by different particles, the shear modulus has a tendency to increase with the increase of the fraction of internal voids for the same particle number density. Further analysis of the experimental results and the comparison with the theoretical analysis shows that the main factor influencing the shear modulus is the nearest interparticle distance, which explains the experimental findings.

Key words: Reflection spectrum, Torsional resonance spectroscopy, Shear modulus, Nearest interparticle distance, Void

CLC Number:

O648

TrendMD:

QIN Yanming, ZHOU Hongwei, XU Shenghua, SUN Zhiwei. Factors Influencing the Shear Modulus of Colloidal Crystals^†[J]. Chem. J. Chinese Universities, 2015, 36(2): 310.

Figures/Tables 10

Fig.1 Proportion of diameter for PS-6

Table 1 Parameters of the colloidal particles

Particle	D/nm	Z_e	PDI	Particle	D/nm	Z_e	PDI
PS-1	105	796	0.08	PS-4	84	575	0.08
PS-2	104	770	0.05	PS-5	92	600	0.06
PS-3	100	980	0.05	PS-6	90	726	0.02

Fig.2 Sketch of the experimental setup

Fig.3 Reflection spectrum of PS-5 with ϕ=0.6%

Table 2 2Dexp/2Duni value of colloidal crystals formed by differernt kinds of particles

Particle	PS-1	PS-2	PS-3	PS-4	PS-5	PS-6
2D_exp/2D_uni	0.84	0.87	0.87	0.94	0.94	1

Fig.4 Resonance spectra of different colloidal crystals at different volume fractions (A) PS-1; (B) PS-2; (C) PS-3; (D) PS-4; (E) PS-5; (F) PS-6.

Fig.5 Relationship between shear modulus(G) and volume fraction(ϕ) for systems with different 2Dexp/2Duni ■ PS-1; ● PS-2; ▲ PS-3; ▼ PS-4; ◆ PS-5; ? PS-6.

Fig.6 Relationship between shear modulus(G) and number density(N) for systems with different 2Dexp/2Duni ■ PS-1; ● PS-2; ▲ PS-3; ▼ PS-4; ◆ PS-5; ? PS-6.

Fig.7 Relationship between shear modulus(G) and nearest neighbor distance(2Dexp) for systems with different 2Dexp/2Duni ■ PS-1; ● PS-2; ▲ PS-3; ▼ PS-4; ◆ PS-5; ? PS-6.

Fig.8 Calculated relationship between dF/dr r=2Dexp and 2Dexp for different colloidal crystals systems ■ PS-1; ● PS-2; ▲ PS-3; ▼ PS-4; ◆ PS-5; ? PS-6.

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