Some notation to be used in this report for basis vectors and their components is summarized here. The local instantaneous atomic position vector is denoted by r+u, with r the mean atomic position vector and u the displacement vector of an atom from its mean position. We use the symbols , and , as is common, for the lengths of the reciprocal axes.
Quantities referred to the direct lattice basis, a, b, c (or equivalently ) :
Components of r: x, y, z (or equivalently ).
Components of u: (or equivalently ).
Related anisotropic displacement parameter: ; (dimensionless).
Quantities referred to the basis (or equivalently ):
Components of r: (or equivalently ).
Components of u: (or equivalently ).
Related anisotropic displacement parameter: ; (length)2 .
Quantities referred to the Cartesian basis ):
Components of r: (or equivalently ).
Components of u: (or equivalently ).
Related anisotropic displacement parameter: ; (length)2 .