The central-force network dynamics model for glasses is extended to treat networks involving small regular rings of bonds. In particular, band-limit formulas are obtained for an A₂X₃ glass consisting of regular puckered six-membered A₃X₃ rings. The special case of planar rings is compared with observations on vitreous B₂{O}₃$. This continuous random network of "boroxol" rings shows improved agreement with experiment over a model not containing rings. The remaining discrepancies illustrate the need to include noncentral forces in the network dynamics of v-B₂{O}₃$.
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Galeener et al. (1983) studied this question.
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