Which of the following is a consequence of the relationships expressed in the Great Orthogonality Theorem? OTwo symmetry operations that belong to the same symmetry class have the same character in each representation used to describe the point group. O All representations of a point group symmetry can be expressed as a linear combination of its irreducible representations. O In every point group, one can find a pair of symmetry operations whose successive application leads to no change (the identity operation). A group multiplication table for a symmetry group can be constructed using only the symmetry operations of that group. O The intersection of two reflection planes can always be identified as an axis of proper rotation.
Which of the following is a consequence of the relationships expressed in the Great Orthogonality Theorem? OTwo symmetry operations that belong to the same symmetry class have the same character in each representation used to describe the point group. O All representations of a point group symmetry can be expressed as a linear combination of its irreducible representations. O In every point group, one can find a pair of symmetry operations whose successive application leads to no change (the identity operation). A group multiplication table for a symmetry group can be constructed using only the symmetry operations of that group. O The intersection of two reflection planes can always be identified as an axis of proper rotation.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Which of the following is a consequence of the relationships expressed in the Great Orthogonality Theorem?
Two symmetry operations that belong to the same symmetry class have the same character in each representation used to describe
the point group.
All representations of a point group symmetry can be expressed as a linear combination of its irreducible representations.
In every point group, one can find a pair of symmetry operations whose successive application leads to no change (the identity
operation).
A group multiplication table for a symmetry group can be constructed using only the symmetry operations of that group.
The intersection of two reflection planes can always be identified as an axis of proper rotation.
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