# A Relative magnetization and a Face Centered Cubic lattice

1. Oct 1, 2018

### LagrangeEuler

In case of simple cubic lattice relative magnetization is given by

$$\sigma=1-\frac{1}{S}\frac{v}{(2\pi)^3}\int^{\frac{\pi}{a}}_{-\frac{\pi}{a}}\int^{\frac{\pi}{a}}_{-\frac{\pi}{a}}\int^{\frac{\pi}{a}}_{-\frac{\pi}{a}}\mbox{d} k_x\mbox{d} k_y\mbox{d}k_z(\mbox{e}^{\frac{E(\vec{k})}{kT}}-1)^{-1}$$
where $v$ is volume of elementary cell, $a$ is parameter of elementary cell, and integration from $-\frac{\pi}{a}$ to $\frac{\pi}{a}$ is integration over first Brillouin zone.

How relation for relative magnetization looks in case of face cubic centered lattice. What is $v$ and what are integral boundaries in that case? Thanks a lot for the answer.

Last edited: Oct 1, 2018
2. Oct 6, 2018

### PF_Help_Bot

Thanks for the thread! This is an automated courtesy bump. Sorry you aren't generating responses at the moment. Do you have any further information, come to any new conclusions or is it possible to reword the post? The more details the better.

3. Oct 10, 2018

### Chandra Prayaga

Could you give us a reference for this equation?