# Conductivity formula for Metals

Is there any expression for the direct change in conductivity of metals with temperature ?

I am aware of change in resistivity with temperature.

• Conductivity is the inverse of resistivity. – Chu Nov 19 '18 at 7:02
• If with 'expression for the direct change' you mean an exact mathematical model, there are a few of various accuracy (starting with simple electron-cloud concepts to full-on quantum-mechanics). – Joren Vaes Nov 19 '18 at 7:34

$$\sigma = \frac1\rho$$
$$\rho = \rho_0 + \alpha T$$
(with $\alpha$ being the temperature coefficient) it follows that
$$\sigma = \frac1{\rho_0 + \alpha T}$$