E. Lomba et al., CHEMICAL ASSOCIATION AND ELECTRONIC-STRUCTURE - A NEW THEORETICAL APPROACH, The Journal of chemical physics, 108(24), 1998, pp. 10175-10180
Chemical association introduces essential modifications in the microsc
opic structure of disordered materials, as new species are formed and
the density of reactants deceases. These radical changes in the micros
copic structure cannot be adequately captured by the pair distribution
function, and hence descriptions of the electronic structure at the l
evel of the effective medium approximation break down. We here propose
a novel approach closely connected with the single superchain/effecti
ve medium approximation, in which the effects of chemical association
are explicitly built-in. The new approximation has been tested in a si
mple minded model of alkali metal, namely a hard sphere fluid with a o
ne-level tight-binding Hamiltonian with transfer matrix elements model
ed by Yukawa terms. This fluid is thought to undergo a dimerization pr
ocess to yield hard dumbbells via an intermediate stage in which a mix
ture is present. The proposed approach reproduces the band structure o
btained by direct diagonalization for various stages along the reactio
n path, while retaining the simplicity of a linear theory. (C) 1998 Am
erican Institute of Physics.