O'Reilly logo

Engineering Physics by S. Mani Naidu

Stay ahead with the world's most comprehensive technology and business learning platform.

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, tutorials, and more.

Start Free Trial

No credit card required

3.2 Distance of separation between successive hkl planes

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 = d1. 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 ...

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, interactive tutorials, and more.

Start Free Trial

No credit card required