Structural transition of Si clusters and their thermodynamics

Abstract The lowest energy structures of Si n clusters up to 21 atoms are optimized with a genetic algorithm (GA) and density functional theory (DFT) with generalized gradient approximation (GGA). The structural transition from prolate cage-based structures to near-spherical configurations is found at n =17. Remarkable different melting behaviors of silicon clusters are obtained between those in prolate structures and near-spherical geometries. The structural transformation of near-spherical clusters is observed in the melting process. Two possible melting processes are proposed: near-spherical → prolate → subunits → molten and near-spherical → prolate → molten oblate.

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

[2]  Wang,et al.  Spin scaling of the electron-gas correlation energy in the high-density limit. , 1991, Physical review. B, Condensed matter.

[3]  B. Delley An all‐electron numerical method for solving the local density functional for polyatomic molecules , 1990 .

[4]  Wang,et al.  Accurate and simple analytic representation of the electron-gas correlation energy. , 1992, Physical review. B, Condensed matter.

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

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

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

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

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

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

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

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

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

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

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

[16]  Feng Ding,et al.  Thermal properties of medium-sized Ge clusters , 2001 .

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

[18]  L. Mitas,et al.  Quantum Monte Carlo determination of electronic and structural properties of Sin clusters (n <= 20). , 1995, Physical review letters.

[19]  B. Wang,et al.  Novel structures and properties of gold nanowires. , 2001, Physical review letters.

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

[21]  Jackson,et al.  Vibrational signatures for low-energy intermediate-sized Si clusters. , 1996, Physical review. B, Condensed matter.