A general theory for the binding energy and compressibility of binary
random alloys is presented, which is applicable to any form of the mod
el pseudopotential. The contributions to compressibility from the elec
trostatic, kinetic, exchange, correlation, Hartree and overlap energy
terms have been explicitly worked out. The contribution from the band
structure energy has been bifurcated into two parts, the first due to
average lattice and second due to the difference lattice. The theory h
as been specialised for the case of linear potential proposed by Sharm
a and Kachhava [Solid State Commun 30 (1979) 749]. The RPA form of die
lectric screening function is used to account for the behaviour of the
electron gas in the alkali metal alloys. The theory has been applied
for the calculation of binding energy and compressibility of the seven
alkali metal alloys. The results obtained show good agreement with th
e experimental data for metallic phases and as well with the other the
oretical results.