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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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density functional, namely, Becke’s half-and-half (BHH) exchange and Lee-Yang-Parr<br />

(LYP) correlation functional (BHHLYP). Split valence basis set with diffusion and<br />

double polarization functions on all the atoms, 6-311++G(2d,2p) has been used in all<br />

calculations. Pseudo Newton Raphson based algorithm has been applied to look for the<br />

minimum energy structures for each K.nNH 3 cluster. The major concern in this algorithm<br />

is to guess a good starting geometry of the cluster, which might converge during the<br />

calculation to a local or the global minimum. In the present calculation, several possible<br />

starting geometries are generated based on different possible three-dimensional<br />

structures. Hessian calculations have been performed to check the nature of the optimized<br />

structures, to calculate thermodynamic parameters and to generate IR spectrum of the<br />

clusters. In a number of cases, first hand optimized minimum energy structures of these<br />

open shell systems have yielded one or more normal modes having imaginary frequency.<br />

In these cases, the structures have been reoptimized focusing attention on these normal<br />

modes till the structures generate no imaginary frequency. Population of the minimum<br />

energy configurations of each size clusters has been calculated based on free energy<br />

change (ΔG) at 150 K following Boltzmann population distribution.<br />

6.3. Results and Discussion<br />

6.3.1. Structure<br />

Only one stable minimum energy structure is obtained through full geometry<br />

optimizations of small size (n=1-3) K.nNH3 clusters. It is to be noted that the geometries<br />

of clusters having different orientations of N atoms from NH 3 molecule with respect to K<br />

atom are considered as the initial guess structures in the present study and only the most<br />

96

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