# Volumetric Thermal Expansion Coefficient

Written by Jerry Ratzlaff on . Posted in Thermodynamics

Volumetric thermal expansion coefficient, abbreviated as $$\alpha_v$$ (Greek symbol alpha), also called coefficient of volumetric thermal expansion, is the ratio of the change in size of a material to its change in temperature.

## Volumetric thermal expansion coefficient Formula

$$\large{ \alpha_v = \frac{ V_f \;-\; V_i }{ V_i \; \left( T_f \;-\; T_i \right) } }$$
Symbol English Metric
$$\large{ \alpha_v }$$  (Greek symbol alpha) = volumetric thermal expansion coefficient $$\large{ \frac{in^3}{in^3\;F} }$$ $$\large{ \frac{mm^3}{mm^3\;C} }$$
$$\large{ T_f }$$ = final temperature $$\large{F}$$ $$\large{C}$$
$$\large{ T_i }$$ = initial temperature $$\large{F}$$ $$\large{C}$$
$$\large{ V_f }$$ = final volume $$\large{in^3}$$ $$\large{mm^3}$$
$$\large{ V_i }$$ = initial volume $$\large{in^3}$$ $$\large{mm^3}$$