The separation between successive parallel planes in rectangular axes crystal system can be extracted easily. Let us consider a rectangular [cartesian] coordinate system with origin ‘0’at one of the lattice points. Let (*hkl*) be the Miller indices of a plane ABC, which makes intercepts OA, OB and OC on X, Y and Z axes, respectively as shown Fig 3.4. A normal to this plane from the origin passes through a point N in the plane ABC, such that ON = *d*_{1}. This normal makes *α*′, *β*′ and *γ*′ angles with X, Y and Z-axes, respectively. Since the plane segments ‘*a*’ into ‘*h*’ equal parts, *b* into *k* equal parts and *c* into *l* equal parts, then the intercepts OA, OB and OC are such that:

where *a*, *b*, *c* are ...

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