Drawing the two dimensional projections for the planes in a tetragonal unit cell requires below mentioned understanding of the crystal.
The usual unit cell in the tetragonal system, like the orthorhombic system, is a parallelepiped, but two sides are equal, such that a=b and c =a, whereas α=β=γ=π/2, and thus is a particular case of the orthorhombic system. The standard unit cell's initial vectors are A1=ax, A2=ay, and C3=cz.
The volume of a standard unit cell is V=a^2 c.
We could anticipate that the tetragonal crystal system would contain four Bravais lattices as well given the resemblance between it and the orthorhombic crystal system, but the extra symmetry produced by b=a limits this to two. The base-centered orthorhombic Bravais lattice is transformed into a straightforward tetragonal lattice when b a, whereas the face-centered orthorhombic lattice may be demonstrated to be equal to a body-centered tetragonal.
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