On the calculation of the Debye-Waller factor of alloys

Relations are derived and discussed for the temperature dependence of the diffraction of X-rays on alloys. It is shown that in a certain approximation one can separate the influence of the inter-atomic force constants from that of the masses of the alloy atoms. A reciprocal matrix is found for the linear chain and the equation for the diffraction of X-rays on an alloy is transformed in a certain approximation to an equation for diffraction on a perfect chain.