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primitive vectors and primitive cell volume for a bcc lattice.

primitive vectors and primitive cell volume for a bcc lattice.

Grade:12th pass

1 Answers

Sumit Majumdar IIT Delhi
askIITians Faculty 137 Points
6 years ago
Dear student,
A Bravais lattice is defined as an infinite array of discrete points generated by a set of discrete translation vectors given by:
\mathbf{R} = n_{1}\mathbf{a}_{1} + n_{2}\mathbf{a}_{2} + n_{3}\mathbf{a}_{3}
Here ni are integers and ai are known as the primitive vectors which lie in different directions and span the lattice completely. These discrete set of vectors must be closed under vector addition and subtraction. Hence, for any choice of position vector R, the lattice looks exactly the same.
The volume of the unit cell spanned by the discrete translation vectors is known as the Primitive cell volume.
Regards
Sumit

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