How do you calculate interplanar spacing for FCC?

This source says that the interplanar spacing of the (111) plane in FCC is a√3, which is in agreement with the formula above. However for BCC, interplanar spacing of (111) is said to be a2√3, which doesn’t agree with the formula.

How do we find out interplanar spacing?

The interplanar spacing between two planes is given by the formula d= a= 450=150 pm

  1. Calculate the Miller indices of crystal planes which cut through the crystal axes at (a,b,c),(2a,b,c) and (2a,−3b,−3c).
  2. In a Orthorhombic crystal, a lattice plane cuts intercepts in the ratio 1:2:3 along a, b and c axes.

What is the lattice constant for FCC?

List of lattice constants

Material Lattice constant (Å) Crystal structure
Fe 2.856 BCC
Ni 3.499 FCC
Cu 3.597 FCC
Mo 3.142 BCC

What is interplanar distance derive an equation for interplanar distance for a cubic lattice?

Explanation: For all orthogonal crystal systems (orthorhombic, tetragonal, cubic) the interplanar distance of a lattice plane with Miller indices is: d=1./sqrt(h^2/a^2 + k^2/b^2 + l^2/c^2). This holds for each of the possible Bravais lattices in these systems.

What is relation between interplanar spacing and Miller indices?

Relation between interplanar spacing and Miller indices: Let OP = dhkl, the interplaner spacing be normal to the plane drawn from the origin and makes angle α, β, and γ with the three axes respectively.

What is an Interplanar?

The interplanar spacing or interplanar distance is the perpendicular distance between two successive planes on a family (hkl).

What does Interplanar mean?

Between planes
Adjective. interplanar (not comparable) Between planes.

How is cn of FCC 12?

Also if we consider the atom at the face centre, it is surrounded by 4 corner atoms of its own plane and the 8 adjacent face centred atoms (4 from above and 4 from below). This also makes the coordination number to be 12. Hence, the coordination number of an fcc lattice is 12.

What is interplanar spacing and derive the expression for it?