## 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

- Calculate the Miller indices of crystal planes which cut through the crystal axes at (a,b,c),(2a,b,c) and (2a,−3b,−3c).
- 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?

https://www.youtube.com/watch?v=U0n3v-f51Yw