Harmonic lattice behavior of two-dimensional colloidal crystals

Details Harmonic lattice behavior of two-dimensional colloidal crystals Harmonic lattice behavior of two-dimensional colloidal crystals

2004-02-17

arxiv.org/abs/cond-mat/0402444v1

Phys. Rev. Lett. 92, 215504 (2004)

Physics

Condensed Matter

Soft Condensed Matter

4 pages, 3 figures, submitted

Scientific paper

10.1103/PhysRevLett.92.215504

Using positional data from video-microscopy and applying the equipartition theorem for harmonic Hamiltonians, we determine the wave-vector-dependent normal mode spring constants of a two-dimensional colloidal model crystal and compare the measured band-structure to predictions of the harmonic lattice theory. We find good agreement for both the transversal and the longitudinal mode. For $q\to 0$, the measured spring constants are consistent with the elastic moduli of the crystal.

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