CHEM01200604005 A. K. Pathak - Homi Bhabha National Institute

σqV R based on the assumption that as the solute and solvent size ratio V R or numerical
value of the charge q becomes very large, only then solvent molecules near to the surface
mainly contribute to the solvation energy. In this limit i.e. lim(q, V R ) →
, ∆E VDE (n) or
∆E ADE (n) → ∆E DE ∞ or ∆E DE ∞ . It is thus very clear from Eqs.(27) and (28) that
when n>> , they respectively converge to Eqs.(16) and (17) valid for clusters of large
size. Eqs. (16), (17), (27) and (28) are the main new results of the present work.
It is worthwhile to obtain a relation between the coefficients
and as
well as and . In order to derive an expression, let us assume that in the
asymptotic limit i.e. say at n = n m , ∆E VDE (n m +1) = ∆E VDE (n m ) and ∆E ADE (n m +1) = ∆E
ADE (n m ), and obtain thereby the relations
M
DE
M
DE= -