Network dynamics of 3:2 coordinated compounds

This paper presents a simple model for calculating the splittings in the vibrational bands of low-symmetry covalently bonded 3:2 coordinated networks. These splittings are dominated by the local order of the network. The dominance of this local order is introduced by approximating the vibrational Hamiltonian of these networks, in zeroth order, by the vibrational Hamiltonian of an idealized highly degenerate network that is called a decoupled network. It is shown that crystalline and random networks of the same compound possess similar splittings only to the extent that their local order is similar.