List various symmetry elements and give the symmetry operations associated with them.

Symmetry elements in spectroscopy play a pivotal role in understanding molecular structures and their behaviors. These elements help identify patterns and predict properties based on the symmetry of molecules. Several symmetry elements exist, each associated with specific symmetry operations:

1. Mirror Plane (σ): A mirror plane divides a molecule into two symmetrical halves. The associated symmetry operation involves reflection across this plane, exchanging coordinates through it.

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