symmetry operation in a sentence

Examples

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