[IUCr Home Page] [Commission Home Page]

next up previous
Next: 4.2 Vector product of two direct Up: 4. Crystallographic Calculations Using the Reciprocal Previous: 4. Crystallographic Calculations Using the Reciprocal

4.1 Scalar product of direct and reciprocal lattice vectors

Let us consider a direct lattice vector

\begin{displaymath}
u\textbf{a} + v\textbf{b} + w\textbf{c}\end{displaymath}

and a reciprocal lattice vector

\begin{displaymath}
h\textbf{a*} + k\textbf{b*} + l\textbf{c*}\end{displaymath}

Using (2.3), their scalar product is equal to:

hu + kv + lw



Copyright © 1981, 1998 International Union of Crystallography

IUCr Webmaster