| 11. | As there are always equal numbers of irreducible representations and classes of symmetry operations, the tables are square.
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| 12. | Any symmetry operation in a molecule's point group acting on the molecule itself will leave it unchanged.
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| 13. | These elements can be a point, line or plane with respect to which the symmetry operation is carried out.
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| 14. | The symmetry operation is an action, such as a rotation around an axis or a reflection through a mirror plane.
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| 15. | It only has two symmetry operations : identity ( E ) and a mirror plane that goes through the three atoms.
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| 16. | In physics, groups are used to represent symmetry operations, and the usage of group theory could simplify differential equations.
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| 17. | This figure has four symmetry operations : the identity operation, one twofold axis of rotation, and two nonequivalent mirror planes.
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| 18. | In other words, a point group is a group that summarizes all symmetry operations that all molecules in that category have.
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| 19. | I'm trying to find out what symmetry operation ( not an inversion ) operates about a point in 3 dimensional space.
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| 20. | This is not an inversion in the sense used for symmetry operations of rigid molecules, since NH 3 has no inversion center.
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