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Titlebook: Crystal Structure Determination; The Role of the Cosi Herbert A. Hauptman Book 1972 Springer Science+Business Media New York 1972 crystal.c

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发表于 2025-3-21 18:33:57 | 显示全部楼层 |阅读模式
书目名称Crystal Structure Determination
副标题The Role of the Cosi
编辑Herbert A. Hauptman
视频videohttp://file.papertrans.cn/241/240644/240644.mp4
图书封面Titlebook: Crystal Structure Determination; The Role of the Cosi Herbert A. Hauptman Book 1972 Springer Science+Business Media New York 1972 crystal.c
描述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.
出版日期Book 1972
关键词crystal; crystal structure; invariant; lead; phase; structure; synthesis
版次1
doihttps://doi.org/10.1007/978-1-4684-9954-4
isbn_softcover978-1-4684-9956-8
isbn_ebook978-1-4684-9954-4
copyrightSpringer Science+Business Media New York 1972
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Book 1972ose 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
发表于 2025-3-22 07:57:18 | 显示全部楼层
ines 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
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Erratum to: White Collar Crime and Risk,cedure whereby phases were derived from the invariants is discussed in detail. The computed cosine invariants were compared with the observed values, and it was found that invariants for which the true value is relatively large are computed more accurately than invariants having smaller values.
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The Financial Crisis and Digital Currencieshe application of one of these relationships, the quadruple relationship, to the structure of .,.-hexestrol. The use of the auxilary phase determining formulas ∑. and pairs to isolate groups of related ∑. triples is described elsewhere in this monograph.
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