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CHEM01200604005 A. K. Pathak - Homi Bhabha National Institute

CHEM01200604005 A. K. Pathak - Homi Bhabha National Institute

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6.8<br />

6<br />

ΔE VDE (n) in eV<br />

6.6<br />

6.4<br />

6.2<br />

6.0<br />

5.8<br />

R=0.98<br />

0.02 0.03 0.04 0.05<br />

n -1<br />

ΔE ADE<br />

(n) in eV<br />

5<br />

4<br />

3<br />

2<br />

1<br />

R=0.99<br />

0.02 0.04 0.06 0.08<br />

(n+σ) -1<br />

A<br />

B<br />

Fig. 8.1. (A) Plot of ΔΕ VDE (n) vs. (n) -1 for I − . nH 2 O systems. The result based on new relation are shown by<br />

solid line, and the solid squares (■ ) represent the experimental values taken from ref. 86. (B) Plot of<br />

ΔΕ ADE (n) vs (n+σ) -1 (σ=8) for SO −2 4 .nH 2 O. The result based on new relation are shown by solid line, and<br />

the open circle (○ ) represent the experimental values taken from ref. 31<br />

based on Eqs (27) and (28) and the results are tabulated in Table 8.1. Here also, the<br />

calculated results of ∆E DE ∞ and ∆E DE ∞ based on Eq.(27) are found to show much<br />

better agreement than the same calculated values based on Eq(1). The<br />

value of these<br />

systems is taken as 8, which is large in comparison to the size of the clusters and thus<br />

justifies the use of Eq.(27) rather than Eq.(16). The results of ∆E VDE (n) and ∆E ADE (n) are<br />

calculated for the system . using the value of σ8 and the optimized values<br />

of , , and . The calculated results are plotted along with available<br />

experimental results in Fig.8.2(B). The ∆E DE ∞ value is also calculated for the<br />

. system based on Eq. (28) and shown in Table 8.1. The correlation<br />

coefficient for all the plots (R) is greater than 0.99, indicating that there is very good<br />

correspondence between the theory and the experiment. It is clear from the Table 8.1 that<br />

the maximum error in bulk values based on present theoretical calculation is 7% with<br />

134

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