joule per cubic metre

SI coherent derived unit whose name and symbol includes an SI coherent derived unit with a special name and symbol

Name	Symbol	Quantity	Base units
joule per cubic metre	J/m³	energy density	kg m⁻¹ s⁻²
The joule per cubic metre, symbol J/m³, is the SI coherent derived unit of energy density. One joule per kilogram is equal to the energy density of a substance that has one joule of energy associated with one cubic metre of the substance.
Definition			h c⁻³ Δν_Cs⁴
$1 \mspace{4mu} \text{J} / \text{m}^3 \mspace{6mu} = \dfrac{(299 \mspace{4mu} 792 \mspace{4mu} 458)^3}{(6.626 \mspace{4mu} 070 \mspace{4mu} 15 \times 10^{-34})(9 \mspace{4mu} 192 \mspace{4mu} 631 \mspace{4mu} 770)^4} \mspace{6mu} \dfrac{h \mspace{4mu} {\Delta \nu _{Cs}}^4}{c^3}\\ \\ \\ 1 \mspace{4mu} \text{J} / \text{m}^3 \mspace{6mu} \approx 5.694 \mspace{4mu} 382 \mspace{4mu} 339 \mspace{4mu} 804 \mspace{4mu} 557 \mspace{4mu} 242 \times10^{18} \mspace{6mu} h \mspace{4mu} c^{-3} \mspace{4mu} {\Delta \nu _{Cs}}^4$

Energy density

A system under pressure has the potential to perform work on its surroundings. As such, pressure is a measure of potential energy per unit volume, or energy density. It can be seen that energy density is dimensionally equivalent to pressure.

Using SI coherent units,

$p = \dfrac{F \times distance}{A \times distance} = \dfrac{E}{V}$

where:

p is the pressure in pascals, symbol Pa,
F is the force applied in newtons, symbol N,
A is the area in square metres, symbol m²,
E is the potential energy in joules, symbol J,
V is the volume in cubic metres, symbol m³.

$1 \ \text{Pa} = 1 \ \text{J} \ \text{m}^{-3}$