Quaternions: Difference between revisions
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'''Quaternions''' | '''Quaternions''' | ||
:<math>Q_8 = a\cdot1 + bi + cj + dk</math> | |||
where | |||
:<math>i^2 = j^2 = k^2 = i j k = -1.\ </math> | |||
==See also== | ==See also== | ||
*[[Q-SHAKE]] | *[[Q-SHAKE]] | ||
Revision as of 16:03, 18 July 2011
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Quaternions
- Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Q_8 = a\cdot1 + bi + cj + dk}
where
- Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle i^2 = j^2 = k^2 = i j k = -1.\ }
See also
References
- Related reading
- Denis J. Evans "On the representatation of orientation space", Molecular Physics 34 pp. 317-325 (1977)
- Denis J. Evans and Sohail Murad "Singularity free algorithm for molecular dynamics simulation of rigid polyatomics", Molecular Physics 34 pp. 327-331 (1977)
- D. Fincham "An Algorithm for Rotational Motion of Rigid Molecules", CCP5 Newsletter 2 pp. 6-10 (1981)
- Franz J. Vesely "Angular Monte Carlo integration using quaternion parameters: a spherical reference potential for CCl4", Journal of Computational Physics 47 pp. 291-296 (1982)
- Michael P. Allen "A molecular dynamics simulation study of octopoles in the field of a planar surface", Molecular Physics 52 pp. 717-732 (1984)