Chem1D: a software package for electronic structure calculations on one-dimensional systems

被引:8
作者
Ball, Caleb J. [1 ]
Gill, Peter M. W. [1 ]
机构
[1] Australian Natl Univ, Res Sch Chem, Canberra, ACT, Australia
基金
澳大利亚研究理事会;
关键词
molecular orbital; wave function; linear molecules; ab initio; one-dimensional molecule; TOMONAGA-LUTTINGER-LIQUID; BEHAVIOR; PENETRABILITY; TRANSPORT; STATE; GAS;
D O I
10.1080/00268976.2015.1017018
中图分类号
O64 [物理化学(理论化学)、化学物理学];
学科分类号
070304 ; 081704 ;
摘要
We present a preliminary version of a software package, Chem1D, that performs molecular orbital calculations on one-dimensional atoms and molecules using the unadorned Coulomb operator 1/|x(1) - x(2)|. We describe methods for computing the necessary one- and two-electron integrals and outline the overall structure of the package. We use Chem1D to perform calculations on a set of small molecules and show that one-dimensional chemistry differs in a number of interesting ways from three-dimensional chemistry.
引用
收藏
页码:1843 / 1857
页数:15
相关论文
共 49 条
[1]   Experimental evidence for resonant tunneling in a Luttinger liquid [J].
Auslaender, OM ;
Yacoby, A ;
de Picciotto, R ;
Baldwin, KW ;
Pfeiffer, LN ;
West, KW .
PHYSICAL REVIEW LETTERS, 2000, 84 (08) :1764-1767
[2]   Luttinger-liquid behaviour in carbon nanotubes [J].
Bockrath, M ;
Cobden, DH ;
Lu, J ;
Rinzler, AG ;
Smalley, RE ;
Balents, L ;
McEuen, PL .
NATURE, 1999, 397 (6720) :598-601
[3]   Chiral Luttinger liquids at the fractional quantum Hall edge [J].
Chang, AM .
REVIEWS OF MODERN PHYSICS, 2003, 75 (04) :1449-1505
[4]   Critical dipoles in one, two, and three dimensions [J].
Connolly, Kevin ;
Griffiths, David J. .
AMERICAN JOURNAL OF PHYSICS, 2007, 75 (06) :524-531
[5]   Mathematical predominance of Dirichlet condition for the one-dimensional Coulomb potential [J].
de Oliveira, Cesar R. ;
Verri, Alessandra A. .
JOURNAL OF MATHEMATICAL PHYSICS, 2012, 53 (05)
[6]   Is Dirichlet the physical boundary condition for the one-dimensional hydrogen atom? [J].
de Oliveira, Cesar R. .
PHYSICS LETTERS A, 2010, 374 (28) :2805-2808
[7]   Self-adjoint extensions of Coulomb systems in 1, 2 and 3 dimensions [J].
de Oliveira, Cesar R. ;
Verri, Alessandra A. .
ANNALS OF PHYSICS, 2009, 324 (02) :251-266
[8]   ACCURATE SEMICLASSICAL ELECTRONIC-STRUCTURE FROM DIMENSIONAL SINGULARITIES [J].
DOREN, DJ ;
HERSCHBACH, DR .
CHEMICAL PHYSICS LETTERS, 1985, 118 (02) :115-119
[9]   Scaling behavior of the longitudinal and transverse transport in quasi-one-dimensional organic conductors [J].
Dressel, M ;
Petukhov, K ;
Salameh, B ;
Zornoza, R ;
Giamarchi, T .
PHYSICAL REVIEW B, 2005, 71 (07)
[10]   Correlated transport and non-Fermi-liquid behavior in single-wall carbon nanotubes [J].
Egger, R ;
Gogolin, AO .
EUROPEAN PHYSICAL JOURNAL B, 1998, 3 (03) :281-300