Culd i get a reference to the formulae used in Solid State ?? (Like the no.of atoms in a face centred cubic cell is 4 Etc )
I think this is just what you're looking for. BCC is 2, FCC us 4, simple cubic is 1.
http://chemed.chem.purdue.edu/genchem/topicreview/bp/ch13/unitcell.php#determ
@drbob222 Thnx a lot... Got my answer !
Certainly! The face-centered cubic (FCC) structure is a common crystal structure in solid state physics. The formulae you are looking for are related to the number of atoms in an FCC unit cell.
To understand the formulae, let's break it down step by step:
1. Face-centered cubic (FCC) structure: In this crystal lattice, atoms are arranged in a cubic pattern, with additional atoms located at the center of each face of the cube.
2. Number of atoms per unit cell in an FCC structure: To determine the number of atoms in an FCC unit cell, we need to consider the positions of the atoms.
a. Corner atoms: Each corner atom is shared by eight adjacent unit cells. Thus, only 1/8th of each corner atom is present in the unit cell we are interested in. Therefore, the total contribution of corner atoms to the unit cell is 1/8 x 8 = 1 atom.
b. Face-centered atoms: Each face-centered atom is shared by two adjacent unit cells. So, only 1/2 of each face-centered atom will be present in the unit cell we are interested in. Again, we need to account for all the six faces, resulting in a total contribution of face-centered atoms of 1/2 x 6 = 3 atoms.
c. Total number of atoms per FCC unit cell: Adding the contributions from corner atoms and face-centered atoms, we get 1 + 3 = 4 atoms in total for the FCC unit cell.
Therefore, in an FCC structure, the number of atoms per unit cell is 4.
This formula can be generalized to other crystal structures as well, where different arrangements and contributions of atoms may be present. Understanding the relative positions and shared atoms within a unit cell is crucial in determining the number of atoms in a crystal lattice.