Abstract
The structural stability of Pt clusters of cubooctahedral and icosahedral shapes has been analytically studied by taking an approximation based on the second moment of the density of states to calculate the cohesive energy. We show that the predictions of this model are in agreement with the phenomenological ideas of Ino's model and the known experimental results for the transition from cubooctahedral to icosahedral geometrical structure. The agreement between the calculated values for the contraction of the interatomic distance as a function of decreasing size, and very recent experimental results is excellent.
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