Question

The critical temperature of iron is $1043K$. Use this value to make a rough estimate of the dipole-dipole interaction energy $\epsilon$, in electron-volts.

Short answer

The dipole interaction energy of iron =$0.011eV$

Step-by-step solution

Step 1. Given information

Formula for critical temperature,

$k{T}_c=n\epsilon$

Here,

$k$=Boltzmann constant,

$n$= number of nearest neighboring dipole

$\epsilon$= interaction energy.

Step 2. To find the dipole interaction energy of iron

We have,

$\epsilon =\frac{k{T}_c}{n}$

Iron is BCC structure, and the value of $n$is 8.0,

Substituting the value of $8.617\times {10}^{-5}\mathrm{eV}/\mathrm{k}\text{=}k,1043\mathrm{k}\text{for critical temperature of iron}{T}_c\text{and}8.0\text{for}n$

$\epsilon =\frac{\left(8.617\times {10}^{-5}\mathrm{eV}/\mathrm{k}\right)\left(1043\mathrm{k}\right)}{\left(8\right)}$

$=0.011\mathrm{eV}$

The dipole interaction energy of iron =$=0.011\mathrm{eV}$