Next: 3.3 Calculation of the reciprocal lattice
Up: 3. Reciprocal Space and Dual Space
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Let V be the volume of the unit cell. In a change of coordinate:
(3.9) |
(3.10) |
Let us now assume that the base ej is orthonormal. There comes:
(3.11) |
We have then demonstrated the following general result:
(3.12) |
From (3.6) we know that
(3.13) |
It is easy to show the following relation, equivalent to (3.12):
(3.14) |
From (3.12), (3.13) and (3.14), we obtain finally:
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