Discuss briefly about the crystallographic axes, symmetry elements and forms of tetragonal system.

In crystallography, the tetragonal crystal system is one of the seven lattice systems, characterized by three mutually perpendicular axes of equal length, with one axis being longer or shorter than the other two. These axes are typically denoted as a, b, and c. The tetragonal system possesses unique symmetry elements and forms that distinguish it from other crystal systems.

### Crystallographic Axes:

In the tetragonal system, there are three crystallographic axes:

1. a-axis: This axis lies perpendicular to the plane defined by the b and c axes. It is the axis of symmetry for the tetragonal system.

2. b-axis: This axis lies perpendicular to the plane defined by the a and c axes.

3. c-axis: This axis is perpendicular to the plane defined by the a and _____ _____ ________ _____ ________ ___ ________ ______.
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