GROUP THEORY SYMBOL

GTGetQuaternion

GTGetQuaternion[symmetry element]
gives the quaternion corresponding to a symmetry element.

DetailsDetails

  • Suppose a rotation by an angle about an axis , then the relating quaternion is defined by
  • The input of GTGetQuaternion can be of type symbol, matrix, quaternion, and Euler angles.
  • In GTPack quaternions are implemented in the form {a,{i,j,k}}.
  • See: W. Hergert, M. Geilhufe, Group Theory in Solid State Physics and Photonics. Problem Solving with Mathematica, chapter 2.1.3

ExamplesExamplesopen allclose all

Basic Examples  (4)Basic Examples  (4)

First, load the package:

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Then run the example:

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Input of Euler angles:

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Input of a matrix:

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Input of a quaternion results in the same quaternion:

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Generalizations & Extensions  (2)Generalizations & Extensions  (2)

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