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An Embedded Ring Approach To The Vibrational Dynamics Of Amorphous Materials, John R. Dennison, T. E. Doyle
An Embedded Ring Approach To The Vibrational Dynamics Of Amorphous Materials, John R. Dennison, T. E. Doyle
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A theoretical approach has been developed to model the vibrational modes of amorphous, two-dimensional materials. The method considers that the vibrational density of states is composed primarily of states originating from embedded ring structures of medium-range order. The materials are modeled as continuous random networks comprised of a statistical distribution of symmetric, planar rings with four to eight members. The rings are treated as local structural units embedded in the material, similar to molecules within a solid. The ring potentials are approximated with a valence force model (bond-stretching and bond-angle-bending force constants) modified by a third harmonic, effective force constant …