On the concept of reciprocal basis vectors
T. Knudsen · Acta Crystallographica Section A · 1974
Ewald's concept of reciprocal basis vectors can be defined in a more general way. It is suggested that the definition of these basis vectors should be presented within the framework of the matrix notation, and not lean so heavily on the concept of a skew product of vectors. The metric matrix, which bears significance in any vector space is the crucial matrix in such a definition.