Prove that in a crystal undergoing deformation, the deformed crystal axes are not mutually perpendicular.

In a crystal undergoing deformation, the deformed crystal axes are indeed not necessarily mutually perpendicular. This phenomenon can be understood through the principles of crystallography and solid-state physics. To prove this, let's delve into the underlying concepts.

1. Crystal Structure and Symmetry: Crystals are characterized by a regular, repeating arrangement of atoms or ions in a three-dimensional lattice structure. The symmetry of this arrangement determines the properties of the crystal, including its mechanical behavior under deformation.

2. Deformation and Stress: When a crystal undergoes deformation, external forces cause a change in its shape or size. This deformation leads to the rearrangement of _______ __________ _______ ____ _______.
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