Explain the elements of symmetry giving suitable examples.

Symmetry plays a crucial role in the study of crystallography, mineralogy, and economic geology, as it helps in understanding the atomic arrangement, physical properties, and formation of minerals. In crystallography, symmetry refers to the orderly and repetitive arrangement of atoms or molecules in a crystal lattice. The symmetry elements are the basic operations that describe how a crystal can be manipulated, rotated, or reflected while maintaining its original structure.

There are several elements of symmetry in crystallography, including mirror planes, rotation axes, inversion centers, and screw axes. These elements determine the internal symmetry of a crystal and are classified into point groups, which can then be used to predict the physical properties of minerals.

1. Mirror Planes (σ):
A mirror plane is an imaginary plane that divides a crystal into two symmetrical halves. The atoms or molecules on one side of the plane are reflected on the other side. This operation is similar to looking ________ _________ _____ ____ ______.
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