Question

In an orthorhombic crystal, a set of parallel planes which make intercept in the ratio 2a:3b:4c on the X, Y and Z axes; where a, b and c are the primitive vectors of the lattice. Calculate: (i) The Miller Indices of the planes; and( ii) The inter-planer distance of these planes if the lattice constants a =4.5Å, b = 3.2Å and c= 5.2Å.​

Answer 1

Answer:

If a, b and c have rational ratios, then the same family of planes can be written in terms of integer indices (hkℓ) by scaling a, b and c appropriately: divide by the largest of the three numbers, and then multiply by the least common denominator.