Crystal Structure Determination: The Role of the Cosine Seminvariants
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Boston, MA
Springer US
1972
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | 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 |
| Beschreibung: | 1 Online-Ressource (XII, 407 p) |
| ISBN: | 9781468499544 9781468499568 |
| DOI: | 10.1007/978-1-4684-9954-4 |
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| 245 | 1 | 0 | |a Crystal Structure Determination |b The Role of the Cosine Seminvariants |c by Herbert A. Hauptman |
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| 500 | |a 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 | ||
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Datensatz im Suchindex
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 548 - Crystallography |
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| dewey-sort | 3548 |
| dewey-tens | 540 - Chemistry and allied sciences |
| discipline | Chemie / Pharmazie Physik |
| doi_str_mv | 10.1007/978-1-4684-9954-4 |
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| indexdate | 2024-07-10T01:20:50Z |
| institution | BVB |
| isbn | 9781468499544 9781468499568 |
| language | English |
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| spelling | Hauptman, Herbert A. Verfasser aut Crystal Structure Determination The Role of the Cosine Seminvariants by Herbert A. Hauptman Boston, MA Springer US 1972 1 Online-Ressource (XII, 407 p) txt rdacontent c rdamedia cr rdacarrier 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 Physics Crystallography Kristallstrukturanalyse (DE-588)4137204-9 gnd rswk-swf Kristallstrukturanalyse (DE-588)4137204-9 s 1\p DE-604 https://doi.org/10.1007/978-1-4684-9954-4 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Hauptman, Herbert A. Crystal Structure Determination The Role of the Cosine Seminvariants Physics Crystallography Kristallstrukturanalyse (DE-588)4137204-9 gnd |
| subject_GND | (DE-588)4137204-9 |
| title | Crystal Structure Determination The Role of the Cosine Seminvariants |
| title_auth | Crystal Structure Determination The Role of the Cosine Seminvariants |
| title_exact_search | Crystal Structure Determination The Role of the Cosine Seminvariants |
| title_full | Crystal Structure Determination The Role of the Cosine Seminvariants by Herbert A. Hauptman |
| title_fullStr | Crystal Structure Determination The Role of the Cosine Seminvariants by Herbert A. Hauptman |
| title_full_unstemmed | Crystal Structure Determination The Role of the Cosine Seminvariants by Herbert A. Hauptman |
| title_short | Crystal Structure Determination |
| title_sort | crystal structure determination the role of the cosine seminvariants |
| title_sub | The Role of the Cosine Seminvariants |
| topic | Physics Crystallography Kristallstrukturanalyse (DE-588)4137204-9 gnd |
| topic_facet | Physics Crystallography Kristallstrukturanalyse |
| url | https://doi.org/10.1007/978-1-4684-9954-4 |
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