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Citation: Zhongjie Ma. Application of Solid Angle in Structural Chemistry[J]. University Chemistry, ;2020, 35(9): 209-213. doi: 10.3866/PKU.DXHX201910004 shu

Application of Solid Angle in Structural Chemistry

Zhongjie Ma

School of Information and Electronics, Beijing Institute of Technology, Beijing 102488, P. R. China

Received Date: 8 October 2019

The concept of solid angle is used to explain the necessary and sufficient conditions for a three-dimensional gapless structure to be achieved by combining one or several polyhedrons. In this paper, the solid angle and dihedral angle of the common regular polyhedron and the common Archimedean semi regular polyhedron are presented, and the examples of structural chemistry are analyzed. In space, the sum of solid angles must be equal to 4π(sr), so by simply adding, we can judge the possibility of gapless accumulation, know the common situation of each point, and then deduce the space structure. By using this method, we can predict some structures that do not exist yet.
- Solid angle,
- Polyhedral,
- Structural chemistry
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