Calculations based on a simple modified Wiener's model for thermal conducti
vity of a composite material predict that the thermal conductivity of beta-
Si3N4 decreases quickly as the grain-boundary film thickness increases with
in a range of a few tenths of a nanometer and also that it initially increa
ses steeply with increased grain size, then reaches almost constant values.
Because of the faceted nature of the beta-Si3N4 crystal, the "average" gra
in-boundary film thickness is much greater than that in equilibrium. The pr
esent study demonstrates both theoretically and experimentally that grain g
rowth alone cannot improve the thermal conductivity of beta-Si3N4.