The lattice parameter of Pd has been measured between room temperature and 6K and has been found to be a smooth function of temperature over this range. An investigation of the X-ray diffraction patterns of some beta phase Pd-H alloys and a mixed (alpha+ beta) phase alloy and of their dependence on cooling through the 50K region, where anomalies in a number of physical properties of beta-phase Pd-H are known to occur, showed no discernible effect on the state of strain of the Pd lattice, ie, no indication of homogeneous lattice strain in excess of 2.5* 10-5, nor evidence of line broadening indicative of inhomogeneous strains. Some consequences of this result for mechanisms which have been suggested to account for these anomalies are considered.