Quaternions in molecular modeling
Computational Physics
2007-05-23 v3 Chemical Physics
Abstract
Quaternions are an important tool to describe the orientation of a molecule. This paper considers the use of quaternions in matching two conformations of a molecule, in interpolating rotations, in performing statistics on orientational data, in the random sampling of rotations, and in establishing grids in orientation space. These examples show that many of the rotational problems that arise in molecular modeling may be handled simply and efficiently using quaternions.
Cite
@article{arxiv.physics/0506177,
title = {Quaternions in molecular modeling},
author = {Charles F. F. Karney},
journal= {arXiv preprint arXiv:physics/0506177},
year = {2007}
}
Comments
ReVTeX, 10 pages. Provides examples of grids with good covering of orientation space (see http://charles.karney.info/orientation/). If necessary, additional information will be provided at http://charles.karney.info/biblio/quat.html