| Crystal Structure Determination: The Role of the Cosine Seminvariants 1972 Edition Contributor(s): Hauptman, H. (Author) |
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ISBN: 1468499564 ISBN-13: 9781468499568 Publisher: Springer OUR PRICE: $52.24 Product Type: Paperback - Other Formats Published: December 2012 |
| Additional Information |
| BISAC Categories: - Science | Physics - Crystallography - Mathematics | Applied - Science | Physics - Mathematical & Computational |
| Dewey: 548 |
| Physical Information: 0.86" H x 7" W x 10" (1.6 lbs) 407 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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. |