From computer simulation data of 3D Lennard-Jones fluids, we present v
ery simple analytical equations of pressure and chemical potential as
functions of the temperature and density. By using the standard thermo
dynamic procedure of a liquid-vapour equilibrium; i.e. pressure and ch
emical potential in the gas phase to be equal to the corresponding val
ues in the liquid phase at a given temperature, we have been able to d
etermine the vapour-liquid coexistence curve. Despite the simplicity o
f our method, we obtain more precise results than those published in t
he literature because we use simultaneously both equalities: for press
ures and for chemical potentials.