X-ray investigations of nine smectogenic substances exhibiting the smectic A d , A 1 and crystalline E phases were performed at various temperatures. X-ray patterns yielded the layer thickness d (A d , A 1 phases) and orthorhombic unit cell parameters (E phase). The layer thickness of the A d phase in 49-n-alkyl-4-cyanobiphenyls (nCBs) has different temperature coefficients for shorter (n58 -10) and longer (n512 -14) members, which is explained as resulting from two competing effects: a weakening with temperature of the intermolecular association energy that favours an increase in d, and the increasing number of conformers which reduces the molecular length. A small anisotropy of the thermal expansivity in the smectic phases was found by comparing the linear quantity d(T) with the linearized bulk characteristic of the system, V 23 (T), where V51/r is the specific volume, r is the density. Differences between the slopes of the two quantities are less in the case of the A 1 phase of two nDBTs (5-n-alkyl-2-(49-isothiocyanatophenyl)-1,3-dioxanes). The present X-ray data and recent results of studies of the low frequency relaxation process in these compounds (under atmospheric as well as elevated pressures) give a consistent picture of molecular reorientations around the short axes in the smectic phases.