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024 7 _ |a 10.1103/PhysRevE.85.056709
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082 _ _ |a 530
084 _ _ |2 WoS
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084 _ _ |2 WoS
|a Physics, Mathematical
100 1 _ |a Hirschfeld, J. A.
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245 _ _ |a Finding stable minima using a nudged-elastic-band-based optimization scheme
260 _ _ |a College Park, Md.
|b APS
|c 2012
264 _ 1 |3 online
|2 Crossref
|b American Physical Society (APS)
|c 2012-05-29
264 _ 1 |3 print
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|b American Physical Society (APS)
|c 2012-05-01
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440 _ 0 |a Physical Review E
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500 _ _ |3 POF3_Assignment on 2016-02-29
500 _ _ |a The DFT calculations have been performed on the super-computer JUROPA at the Julich Supercomputing Center with a grant from the FZ-Julich. The authors are very grateful to R. O. Jones for supporting this work with his expertise in helpful discussions.
520 _ _ |a Optimization is essential in many scientific and economical areas, but it is often too complex to be tackled by simple straightforward calculations or by trial and error. Two well-known methods to find low-lying minima in such complex systems are simulated annealing and the genetic algorithm. In these methods artificial fluctuations control the probability of the system to overcome a local minimum having a certain depth. Here we present a complementary scheme that is based on the nudged-elastic-band method ordinarily used to find saddle points and we apply the scheme to find the most stable isomers of the phosphorus P-4, P-8 molecules and the corresponding molecules of As-n, Sb-n, and Bi-n (n = 4,8) in the framework of the density functional theory. In the case of n = 8 we have found stable and metastable configurations, some of which are new and have similar energies. As a by-product we obtained an upper bound for the energy barriers between these configurations.
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773 _ _ |a 10.1103/PhysRevE.85.056709
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856 7 _ |u http://dx.doi.org/10.1103/PhysRevE.85.056709
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