Jdc. Mcconnell et al., DETERMINATION OF THE ORIGIN AND MAGNITUDE OF AL SI ORDERING ENTHALPY IN FRAMEWORK ALUMINOSILICATES FROM AB-INITIO CALCULATIONS/, Physics and chemistry of minerals, 25(1), 1997, pp. 15-23
Ab initio total energy calculations based on a new optimised oxygen ps
eudopotential has been used to determine the enthalpy of disorder for
the exchange of Al and Si in tetrahedral coordination in simple deriva
tive aluminosilicate structures based on the high temperature tridymit
e structure. The problem has been studied as a function of defect inte
raction, and defect concentration, and the results indicate that the e
nergy for Al/Al neighbouring tetrahedra can be assigned primarily to t
wo effects, the first, a coulombic effect, associated with the disturb
ed charge distribution. and the second associated with the strain rela
ted to misfit due to the very different dimensions of the Si and Al co
ntaining tetrahedra. In practice each of these effects contributes app
roximately 0.2 eV per Al-Al neighbour to the overal disorder enthalpy.
These simple results were obtained after a careful study of possible
chemical interaction between adjacent Al/Si containing tetrahedra whic
h showed that chemical interaction was effectively absent. Since indiv
idual Al/Si tetrahedra proved to be discrete entities that an individu
ally heavily screened by the shared oxygens it follows that coulombic
and strain effects in disorder effectively account for the whole of th
e disorder enthalpy. The complete set of results have been used to est
ablish new criteria for the structure and disorder enthalpies of the f
eldspar group of minerals and their long period derivatives.