Thermal properties of medium-sized Ge clusters

Abstract The thermal behavior of germanium clusters is studied by using tight-binding molecular dynamics. The lowest energy structures of Gen clusters up to 21 atoms are optimized with a genetic algorithm. Some high symmetric layered structures are found in medium-sized clusters and large clusters can be constructed from small cluster subunits. We discuss the melting temperature as a function of the cluster size. Even-odd alternation is found in the size range n=11–17. The Gen clusters with n=7, 12 and 19 have particularly high melting points, which correspond to the relatively high stabilities of their ground state structures. We find that the large clusters can be dissociated into small clusters upon heating and an interesting two-stage melting behavior is revealed in the case of Ge21.

[1]  M. Jarrold,et al.  Silicon cluster ions: Evidence for a structural transition. , 1991, Physical review letters.

[2]  J. C. Slater,et al.  Simplified LCAO Method for the Periodic Potential Problem , 1954 .

[3]  Ho,et al.  Molecular geometry optimization with a genetic algorithm. , 1995, Physical review letters.

[4]  The melting behaviour of small silicon clusters , 1994 .

[5]  Hunter,et al.  Structural transitions in size-selected germanium cluster ions. , 1994, Physical review letters.

[6]  Harrison,et al.  Theory of the multicenter bond. , 1986, Physical review. B, Condensed matter.

[7]  N. Metropolis,et al.  Equation of State Calculations by Fast Computing Machines , 1953, Resonance.

[8]  Melting of carbon cages , 1993 .

[9]  Weber,et al.  Computer simulation of local order in condensed phases of silicon. , 1985, Physical review. B, Condensed matter.

[10]  Madhu Menon,et al.  Nonorthogonal tight-binding molecular-dynamics scheme for silicon with improved transferability , 1997 .

[11]  M. Menon A transferable nonorthogonal tight-binding scheme for germanium , 1998 .

[12]  Luciano Colombo A source code for tight-binding molecular dynamics simulations , 1998 .

[13]  Menon,et al.  Transferable nonorthogonal tight-binding scheme for silicon. , 1994, Physical review. B, Condensed matter.

[14]  Jinlan Wang,et al.  A transferable nonorthogonal tight-binding model of germanium: application to small clusters , 2000, physics/0004066.

[15]  David R. Bowler,et al.  Tight-binding modelling of materials , 1997 .

[16]  Estela Blaisten-Barojas,et al.  Molecular-dynamics simulation of silicon clusters. , 1986, Physical review. B, Condensed matter.

[17]  Wang,et al.  Transferable tight-binding models for silicon. , 1994, Physical review. B, Condensed matter.

[18]  Jijun Zhao,et al.  Genetic-algorithm prediction of the magic-number structure of (C 60 ) N clusters with a first-principles interaction potential , 1999 .

[19]  Tianxin Li,et al.  A genetic algorithm study on the most stable disordered and ordered configurations of Au38–55 , 2000 .

[20]  Flytzanis,et al.  Simulation of the melting behavior of small silicon clusters. , 1995, Physical review. B, Condensed matter.

[21]  A. Shvartsburg,et al.  STRUCTURES OF GERMANIUM CLUSTERS : WHERE THE GROWTH PATTERNS OF SILICON AND GERMANIUM CLUSTERS DIVERGE , 1999 .