The asymptotic behavior of coordination sequences for the 4-connected nets of zeolites and related structures

Abstract

It is shown that the coordination sequence for many simple 4-connected nets such as occur in zeolite frameworks can be expressed by sets of equations, quadratic in shell number. In some instances a set of equations can be reduced to one equation utilizing trigonometric functions. The coefficient of the quadratic term is well correlated with the geometrical density. Low-density nets with a high proportion of three rings are described; they form a group separate from typical zeolite nets as far as density correlations are concerned. Show more