Yes, I agree with Tapan: f you have a tetragonal cell with base centering, then you can choose a primitive (tetragonal cell ) having the area corresponding to one half of the centered one. This means that centering operation does not produce (in this case ) something new. A completely different situation sets up when centering the base C of the monoclinic lattice; as a matter of fact, if one obtains a primitive cell from the monoclinic C , an oblique rhombic prism is obtained (which is no longer monoclinic).
All the best
Dino
If you have a tetragonal cell with base centering then then you can easily choose smaller primitive tetragonal cell. This is illustrated in Fig. 2.4 (p. 37) in the text book of B.D. Cullity, Elements of X-ray Diffraction, Addison-Wesley (1978).
Yes, I agree with Tapan: f you have a tetragonal cell with base centering, then you can choose a primitive (tetragonal cell ) having the area corresponding to one half of the centered one. This means that centering operation does not produce (in this case ) something new. A completely different situation sets up when centering the base C of the monoclinic lattice; as a matter of fact, if one obtains a primitive cell from the monoclinic C , an oblique rhombic prism is obtained (which is no longer monoclinic).
All the best
Dino
https://www.quora.com/Why-is-a-face-centered-tetragonal-not-possible
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