On the use of symmetry in the ab initio quantum mechanical simulation of nanotubes and related materials

(c) 2009 Wiley Periodicals, Inc.

Bibliographische Detailangaben
Veröffentlicht in:Journal of computational chemistry. - 1984. - 31(2010), 4 vom: 30. März, Seite 855-62
1. Verfasser: Noel, Yves (VerfasserIn)
Weitere Verfasser: D'arco, Philippe, Demichelis, Raffaella, Zicovich-Wilson, Claudio M, Dovesi, Roberto
Format: Online-Aufsatz
Sprache:English
Veröffentlicht: 2010
Zugriff auf das übergeordnete Werk:Journal of computational chemistry
Schlagworte:Journal Article Graphite 7782-42-5
LEADER 01000naa a22002652 4500
001 NLM190007737
003 DE-627
005 20231223184618.0
007 cr uuu---uuuuu
008 231223s2010 xx |||||o 00| ||eng c
024 7 |a 10.1002/jcc.21370  |2 doi 
028 5 2 |a pubmed24n0633.xml 
035 |a (DE-627)NLM190007737 
035 |a (NLM)19603502 
040 |a DE-627  |b ger  |c DE-627  |e rakwb 
041 |a eng 
100 1 |a Noel, Yves  |e verfasserin  |4 aut 
245 1 0 |a On the use of symmetry in the ab initio quantum mechanical simulation of nanotubes and related materials 
264 1 |c 2010 
336 |a Text  |b txt  |2 rdacontent 
337 |a ƒaComputermedien  |b c  |2 rdamedia 
338 |a ƒa Online-Ressource  |b cr  |2 rdacarrier 
500 |a Date Completed 16.04.2010 
500 |a Date Revised 03.02.2010 
500 |a published: Print 
500 |a Citation Status MEDLINE 
520 |a (c) 2009 Wiley Periodicals, Inc. 
520 |a Nanotubes can be characterized by a very high point symmetry, comparable or even larger than the one of the most symmetric crystalline systems (cubic, 48 point symmetry operators). For example, N = 2n rototranslation symmetry operators connect the atoms of the (n,0) nanotubes. This symmetry is fully exploited in the CRYSTAL code. As a result, ab initio quantum mechanical large basis set calculations of carbon nanotubes containing more than 150 atoms in the unit cell become very cheap, because the irreducible part of the unit cell reduces to two atoms only. The nanotube symmetry is exploited at three levels in the present implementation. First, for the automatic generation of the nanotube structure (and then of the input file for the SCF calculation) starting from a two-dimensional structure (in the specific case, graphene). Second, the nanotube symmetry is used for the calculation of the mono- and bi-electronic integrals that enter into the Fock (Kohn-Sham) matrix definition. Only the irreducible wedge of the Fock matrix is computed, with a saving factor close to N. Finally, the symmetry is exploited for the diagonalization, where each irreducible representation is separately treated. When M atomic orbitals per carbon atom are used, the diagonalization computing time is close to Nt, where t is the time required for the diagonalization of each 2M x 2M matrix. The efficiency and accuracy of the computational scheme is documented 
650 4 |a Journal Article 
650 7 |a Graphite  |2 NLM 
650 7 |a 7782-42-5  |2 NLM 
700 1 |a D'arco, Philippe  |e verfasserin  |4 aut 
700 1 |a Demichelis, Raffaella  |e verfasserin  |4 aut 
700 1 |a Zicovich-Wilson, Claudio M  |e verfasserin  |4 aut 
700 1 |a Dovesi, Roberto  |e verfasserin  |4 aut 
773 0 8 |i Enthalten in  |t Journal of computational chemistry  |d 1984  |g 31(2010), 4 vom: 30. März, Seite 855-62  |w (DE-627)NLM098138448  |x 1096-987X  |7 nnns 
773 1 8 |g volume:31  |g year:2010  |g number:4  |g day:30  |g month:03  |g pages:855-62 
856 4 0 |u http://dx.doi.org/10.1002/jcc.21370  |3 Volltext 
912 |a GBV_USEFLAG_A 
912 |a SYSFLAG_A 
912 |a GBV_NLM 
912 |a GBV_ILN_350 
951 |a AR 
952 |d 31  |j 2010  |e 4  |b 30  |c 03  |h 855-62