New bounds for atomic clusters∗
نویسندگان
چکیده
This paper introduces a general method for obtaining lower bounds for the total energy and the minimal inter-particle distance in optimal atom cluster problems with pair potential functions under weak general conditions on the pair potential. The bounds obtained are sharper than those previously known for both the Lennard-Jones potential and various Morse potentials. Statistics on the putative optimal structures for Lennard-Jones clusters (taken from sources on the WWW) are also presented.
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