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CHEM01200604005 A. K. Pathak - Homi Bhabha National Institute

CHEM01200604005 A. K. Pathak - Homi Bhabha National Institute

CHEM01200604005 A. K. Pathak - Homi Bhabha National Institute

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espect to experimentally measured values compared to 57% based on the previous<br />

model.<br />

8.4. Conclusions<br />

A new general relation connecting the finite size dependent vertical detachment<br />

energy and adiabatic detachment energy of the solvated anionic clusters of finite size is<br />

derived based on a microscopic theory. The n-dependence of the detachment energy is<br />

independent of the solute solvent interaction energy. The derived expressions are valid<br />

for system containing large number of solvent molecules. This relation is tested for<br />

cluster of medium size viz. . and the calculated ∆E DE ∞ value is found to be in<br />

very good agreement with the experimental ∆E DE ∞ value. However, the experimental<br />

results are available mainly for small finite size clusters. To obtain the bulk values of<br />

∆E DE ∞ and ∆E DE ∞ from the knowledge of ∆E VDE (n) and ∆E ADE (n) for small finite<br />

size cluster, general expressions given by Eqs. (27) and (28) have been proposed. It is<br />

worthwhile to mention that Eqs. (27) and (28) converge to Eqs. (16) and (17),<br />

respectively in large n limit. Using these expressions, (Eqs. (27) and (28)),<br />

∆E DE ∞ and ∆E DE ∞ values are obtained from the knowledge of clusters of small<br />

size and are found to be in very good agreement with the available experimental results.<br />

The n-dependent expressions for ∆E VDE (n) and ∆E ADE (n) do not change from system to<br />

system in contrast to the expression proposed by Dixon and coworkers (Eq.2) where the<br />

exponent p varies from system to system. The calculated results based on the microscopic<br />

expressions (Eqs. (16) and (17) for cluster of large size and Eqs (27) and (28) for cluster<br />

of small size are found to be in very good agreement with the experimental results in<br />

135

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