Crystal Structure Determination: The Role of the Cosine Seminvariants

Hauptman, Herbert A.

ISBN 10: 0306307030 / ISBN 13: 9780306307034

Published by Plenum Press, 1972

About this Item

Book is solidly bound and unmarked. Owner name/date on front free endpaper. Moderate wear to dust jacket.

Seller Inventory # 025138

Bibliographic Details

• Title: Crystal Structure Determination: The Role of the Cosine Seminvariants
• Publisher: Plenum Press
• Publication Date: 1972
• Language: English
• ISBN 10: 0306307030
• ISBN 13: 9780306307034
• Binding: Hardcover
• Condition: Very Good
• Dust Jacket Condition: Good

About this title

Synopsis

The central theme of this monograph is that the cosine seminvariants are the key to crystal structures. The cosine seminvariants are the cosines of those linear combinations of the phases (the so-called structure seminvariants) whose values, for a given functional form for the geometric structure factor, are uniquely determined by the crystal structure alone and are there­ fore independent of the choice of permissible origin. It follows that the cosine seminvariants themselves are uniquely determined, in general, by the observed magnitudes of the normalized structure factors. The values of the cosine seminvariants in turn lead unambiguously to the values of the individual phases and thus to the crystal structure by means of the E-map (Fourier synthesis). It is this property of the cosine seminvariants, that they serve to link the observed magnitudes with the desired phases of the normalized structure factors, which accounts for their importance and explains the emphasis which is here placed on their role.