On the application of phase relationships to complex structures. XXIV. The Sayre tangent formula

On the application of phase relationships to complex structures. XXIV. The Sayre tangent formula
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关于相位关系在复杂结构中的应用。

DOI:
10.1107/s0108767385000617
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发表时间:
1985
期刊:
Acta Crystallographica Section A
影响因子:
--
通讯作者:
M. Woolfson
M. Woolfson
中科院分区:
--
文献类型:
--
作者:
T. Debaerdemaeker;C. Tate;M. Woolfson

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应用归一化结构因子的实质子集的真实相集应满足 Sayre 方程这一条件,得出称为 Sayre 正切公式的相细化方程。通过该公式精化的相位往往满足 Sayre 方程,其中 E 的子集包含一些大的幅度和一些小的(理想情况下为零)幅度。试验表明,纳入计算机程序 SAYTAN 的新公式比 MULTAN80 更有效,特别是对于同构结构。
The application of the condition that a true set of phases for a substantial subset of normalized structure factors should satisfy Sayre's equation leads to a phase-refining equation called the Sayre tangent formula. Phases refined by this formula tend to satisfy Sayre's equation for a subset of E's containing some of large magnitude and some of small (ideally zero) magnitude. Trials indicate that the new formula, incorporated into a computer program SAYTAN, is more effective than MULTAN80, especially for symmorphic structures.