Search results for "Symmetry Groups"

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The integral‐direct coupled cluster singles and doubles model

1996

An efficient and highly vectorized implementation of the coupled cluster singles and doubles (CCSD) model using a direct atomic integral technique is presented. The minimal number of n6processes has been implemented for the most time consuming terms and point group symmetry is used to further reduce operation counts and memory requirements. The significantly increased application range of the CCSD method is illustrated with sample calculations on several systems with more than 500 basis functions. Furthermore, we present the basic trends of an open ended algorithm and discuss the use of integral prescreening. © 1996 American Institute of Physics.

Computer scienceClose Coupling ApproximationSymmetry GroupsGeneral Physics and AstronomyBasis functionSymmetry groupUNESCO::FÍSICA::Química físicaComputational scienceCluster ModelClose Coupling Approximation ; Algorithms ; Cluster Model ; Electronic Structure ; Molecular Orbital Method ; Symmetry GroupsPhysics and Astronomy (all)Range (mathematics)Coupled clusterElectronic StructureComputational chemistryCluster (physics)Molecular symmetryMolecular Orbital MethodPhysical and Theoretical Chemistry:FÍSICA::Química física [UNESCO]Direct-coupled amplifierAlgorithmsThe Journal of Chemical Physics
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Visual Discrimination of the 17 Plane Symmetry Groups

2011

Within most of the 17 plane symmetry groups, individual symmetry operations act in multiple, nonequivalent ways. This, and the fact that many groups can be realized on the basis of different unit cells and generating regions, poses difficulties for visual discrimination and identification. Because of inherent confounds, only few of the groups can be studied by traditional experimental methodology. The use of an oddity paradigm and specific tiling patterns that camouflage groups in complex textures are recommended as partial remedy to this impasse. In order to prepare readers for an appreciation of the aforementioned issues and to provide a rationale for their investigation, the reporting of…

Symmetry operationVisual perceptionvisual artPhysics and Astronomy (miscellaneous)General MathematicsPlane symmetryvisual perceptioncamouflageComputer Science (miscellaneous)Computer visionplane symmetry groupsexperimental paradigmsMathematicsBasis (linear algebra)business.industrylcsh:Mathematicslcsh:QA1-939Identification (information)plane symmetry groups; visual perception; experimental paradigms; camouflage; visual artChemistry (miscellaneous)CamouflageVisual discriminationArtificial intelligenceSymmetry (geometry)businessCognitive psychologySymmetry
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