Comparison of some molecular structures by minimizing the comparison function

The geometric difference in the relative arrangement of atoms in molecules with the same chemical formula significantly affects the properties of the crystal. For quantitative comparison of the spatial geometric structure of two molecules, we used the method of optimal superposition of molecules through the minimization of a certain comparison function by rotating the molecules after superposing their centers of mass. The search for the minimum of the comparison function over Euler rotation angles is performed by the Rosenbrock method. The assumed criterion for comparing molecules allows us to quantify the proximity in the spatial structure of molecules. The implementation of the method is shown by comparing the structure of eight molecules in four crystalline substances. © 2020 ASSA.

Авторы
Издательство
International Institute for General Systems Studies
Номер выпуска
1
Язык
Английский
Страницы
104-113
Статус
Опубликовано
Том
20
Год
2020
Организации
  • 1 Peoples’ Friendship, University of Russia, Moscow, Russian Federation
Ключевые слова
Conformation; Euler angles; Optimization methods; Rosenbrock method; Rotation matrix
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