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@ARTICLE{Hirschfeld:22133,
author = {Hirschfeld, J. A. and Lustfeld, H.},
title = {{F}inding stable minima using a nudged-elastic-band-based
optimization scheme},
journal = {Physical review / E},
volume = {85},
number = {5},
issn = {1539-3755},
address = {College Park, Md.},
publisher = {APS},
reportid = {PreJuSER-22133},
pages = {056709},
year = {2012},
note = {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.},
abstract = {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.},
keywords = {J (WoSType)},
cin = {PGI-1 / IAS-1},
ddc = {530},
cid = {I:(DE-Juel1)PGI-1-20110106 / I:(DE-Juel1)IAS-1-20090406},
pnm = {Grundlagen für zukünftige Informationstechnologien},
pid = {G:(DE-Juel1)FUEK412},
shelfmark = {Physics, Fluids $\&$ Plasmas / Physics, Mathematical},
typ = {PUB:(DE-HGF)16},
UT = {WOS:000304530300012},
doi = {10.1103/PhysRevE.85.056709},
url = {https://juser.fz-juelich.de/record/22133},
}