References
Here's a chronological list of references of work on Lennard-Jones clusters
in which global optimization has been attempted or in which results are
presented that are relevant to that task.
It is still under construction so do let me know about references that I have missed.
1998
1997
- C. Barron, S. Gomez and D. Romero,
Appl. Math. Lett., 10, 25, (1997)
Lower energy icosahedral atomic clusters with incomplete core
- D.J. Wales and J.P.K. Doye,
J. Phys. Chem. A 101, 5111-5116 (1997)
Global optimization by basin-hopping and the lowest energy
structures of Lennard-Jones clusters containing
up to 100 Atoms
- R.H. Leary, J. Global Optimization 11, 35 (1997)
Global optima of Lennard-Jones clusters
- J.P.K. Doye and D.J. Wales,
Z. Phys. D, 40, 194-197 (1997)
Traversing the potential energy surface by eigenvector-following:
applications to global optimisation and the structural transformations
of clusters
1996
- C. Barron, S. Gomez and D. Romero,
Appl. Math. Lett. 10, 25 (1996)
Archimedean polyhedron structure yields a lower energy atomic cluster
- D.M. Deaven, N. Tit, J.R. Morris and K.M. Ho,
Chem. Phys. Lett. 256, 195 (1996)
Structural optimization of Lennard-Jones clusters
by a genetic algorithm
- J.A. Niesse and H.R. Mayne, J. Chem. Phys., 105, 4700 (1996)
- S.K. Gregurick and M.H. Alexander and B. Hartke,
J. Chem. Phys. 104, 2684 (1996)
-
1995
- J.P.K. Doye and D.J. Wales,
Chem. Phys. Lett. 247, 339-347 (1995)
Magic numbers and growth sequences of small face-centred-cubic
and decahedral clusters
- J.P.K. Doye, D.J. Wales and R.S. Berry,
J. Chem. Phys. 103, 4234-4249 (1995)
The effect of the range of the potential on the
structures of clusters
- J. Pillardy and L. Piela,
J. Phys. Chem. 99, 11805 (1995)
- N.J.A. Sloane, R.H. Hardin, T.D.S. Duff and J.H. Conway,
Discrete Comput. Geom. 14, 237 (1995)
Minimal-energy clusters of hard spheres
1994
- G.L. Xue, J. Global Optimization 4, 425 (1994)
Improvement on the northby algorithm for molecular-conformation -
better solutions
- G.L. Xue, J. Global Optimization 4, 187 (1994)
Molecular-conformation on the CM-5 by parallel 2-level simulated
annealing
- T. Coleman and D. Shalloway,
J. Global Optimization 4, 171 (1994)
A parallel build-up algorithm for global energy minimizations of
clusters using effective energy simulated annealing
- J. Ma and J. E. Straub, J. Chem. Phys. 101, 533 (1994)
Simulated annealing using the classical density distribution
- P.M. Pardalos, D. Shalloway and G Xue,
J. Global Optimization 4, 117 (1994)
Optimization methods for computing global minima of nonconvex
potential energy functions
1993
1992
- C.D. Maranas and C.A. Floudas, J. Chem. Phys. 97, 7667 (1992)
A global optimization approach for Lennard-Jones microclusters
- D. Shalloway, J. Global Optimization 2, 281 (1992)
Application of the renormalization group to deterministic global
minimization of molecular conformation energies
-
1991
- J. Kostrowicki, L. Piela, B.J. Cherayil and H.A. Scheraga,
J. Phys. Chem. 95, 4113 (1991)
Performance of the diffusion equation method in searches for
optimum structures of clusters of Lennard-Jones atoms
1990
1989
1988
1987
- L.T. Wille, Chem. Phys. Lett., 133, 405 (1987)
Minimum-energy configurations of atomic clusters:
New results obtained by simulated annealing
- J.A. Northby, J. Chem. Phys. 87, 6166 (1987)
Structure and binding of Lennard-Jones clusters: 13 < N < 147
1986
1985
- J. Farges, M.F. de Feraudy, B. Raoult and G. Torchet,
Surf. Sci. 156, 370 (1985)
Cluster models made of double icosahedron units
- D.L. Freeman and J.D. Doll,
J. Chem. Phys. 82, 462 (1985)
- M.R. Hoare and P. Pal,
Adv. Phys. 20 161 (1971);
Nature (Physical Sciences) 230, 5 (1971);
Nature (Physical Sciences) 236, 35 (1972)
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