Table of Contents
How do you calculate interplanar spacing of a crystal?
If the space lattice is FCC, the lattice constant is given by the formula [4 x r / (2)1/2] and if the space lattice is BCC, then the lattice constant is given by the formula a = [4 xr/ (3)1/2].
What is the lattice constant of a cubic crystal?
List of lattice constants
| Material | Lattice constant (Å) | Crystal structure |
|---|---|---|
| Al | 4.046 | FCC |
| Fe | 2.856 | BCC |
| Ni | 3.499 | FCC |
| Cu | 3.597 | FCC |
What is the reciprocal lattice to simple cubic lattice?
The reciprocal lattice of the simple cubic lattice is itself a simple cubic lattice with the length of each side being 2π/a. Show that the reciprocal lattice of the fcc lattice is the bcc lattice.
How to calculate interplanar distance in cubic crystal lattice?
To calculate Interplanar Distance in Cubic Crystal Lattice, you need Edge length (a), Miller Index along x-axis (h), Miller Index along y-axis (k) and Miller Index along z-axis (l).
What is the formula for interplanar Cystal spacing in FCC?
Interplanar cystal spacing of cubic crystal families is defined as $$d_{hkl} = frac{a}{sqrt{h^2+k^2+l^2}}.$$ This sourcesays that the interplanar spacing of the $(111)$plane in FCC is $frac{a}{sqrt3}$, which is in agreement with the formula above.
What is the interplanar distance of a plane?
Interplanar distances depend on which plane you are considering, as well as what kind of unit cell you have. You also need to know the lattice parameters of the unit cell, a, b and c. Planes are identified in terms of their Miller indices, h, k and l. For example, (210) means the plane with h = 2, k = 1 and l = 0.
What is interplanar spacing d_HKL?
But when we define interplanar spacing d_hkl we define it as spacing between ‘adjacent’ planes of (hkl) family consisting of equidistant parallel planes. But this needs further qualification as a single plane with Miller indices (hkl) cannot constitute a family.