Photoionization of adsorbates on sites with non-axial local symmetry. An example of the symmetry group

Kuznetsov, V. V.; Cherepkov, N. A.; Raşeev, G.

doi:10.1088/0953-8984/8/49/023

Cited by 9 publications

(2 citation statements)

References 53 publications

(110 reference statements)

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“…The impact of the symmetry on the CDAD was investigated by Cherepkov and co-workers for oriented achiral systems belonging to the point groups

[ 90 ],

[ 91 ], and

[ 92 ], and more general under consideration of the solid surface [ 93 ]. It was found that the CDAD vanishes when the quantization axis, photon spin, and electron emission are collinear.…”

Section: Electronic Structure and Chiralitymentioning

confidence: 99%

Chirality in the Solid State: Chiral Crystal Structures in Chiral and Achiral Space Groups

2022

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Chirality depends on particular symmetries. For crystal structures it describes the absence of mirror planes and inversion centers, and in addition to translations, only rotations are allowed as symmetry elements. However, chiral space groups have additional restrictions on the allowed screw rotations as a symmetry element, because they always appear in enantiomorphous pairs. This study classifies and distinguishes the chiral structures and space groups. Chirality is quantified using Hausdorff distances and continuous chirality measures and selected crystal structures are reported. Chirality is discussed for bulk solids and their surfaces. Moreover, the band structure, and thus, the density of states, is found to be affected by the same crystal parameters as chirality. However, it is independent of handedness. The Berry curvature, as a topological measure of the electronic structure, depends on the handedness but is not proof of chirality because it responds to the inversion of a structure. For molecules, optical circular dichroism is one of the most important measures for chirality. Thus, it is proposed in this study that the circular dichroism in the angular distribution of photoelectrons in high symmetry configurations can be used to distinguish the handedness of chiral solids and their surfaces.

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“…The impact of the symmetry on the CDAD was investigated by Cherepkov and co-workers for oriented achiral systems belonging to the point groups

[ 90 ],

[ 91 ], and

[ 92 ], and more general under consideration of the solid surface [ 93 ]. It was found that the CDAD vanishes when the quantization axis, photon spin, and electron emission are collinear.…”

Section: Electronic Structure and Chiralitymentioning

confidence: 99%

Chirality in the Solid State: Chiral Crystal Structures in Chiral and Achiral Space Groups

2022

View full text Add to dashboard Cite

show abstract

“…The impact of the symmetry on the CDAD was investigated by Cherepkov and coworkers for oriented achiral systems belonging to the point groups C 2v [84], C 3v [85], and C 4v [86], and more general under consideration of the solid surface [87]. It was found that the CDAD vanishes when quantization axis, photon spin, and electron emission are collinear.…”

Section: Circular Dichoism Chirality and Electronic Structurementioning

confidence: 99%

Chirality in the Solid State: Chiral Crystal Structures in Chiral and Achiral Space Groups

Fecher¹,

Kübler²,

Felser³

2022

Preprint

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Chirality depends on particular symmetries. For crystal structures it describes the absence of mirror planes and inversion centers, and in addition to translations, only rotations are allowed as symmetry elements. However, chiral space groups have additional restrictions on the allowed screw rotations as a symmetry element, because they always appear in enantiomorphous pairs. This study classifies and distinguishes the chiral structures and space groups. The chirality is quantified using Hausdorff distances and continuous chirality measures and selected crystal structures are reported. The chirality is discussed for bulk solids and their surfaces. Moreover, the band structure, and thus, the density of states, is found to be affected by the same crystal parameters as the chirality. However, it is independent of handedness. The Berry curvature, as a topological measure of the electronic structure, depends on the handedness, but is not a proof for the chirality because it responds on the inversion of a structure. For molecules, optical circular dichroism is one of the most important measures for the chirality. Thus, it is proposed in this study that the circular dichroism in the angular distribution of photoelectrons in high symmetry configurations can be used to distinguish the handedness of chiral solids and their surfaces.

show abstract

Vector Correlations in Dissociative Photoionization of Simple Molecules Induced by Polarized Light

Dowek¹

2003

Many-Particle Quantum Dynamics in Atomic and Molecular Fragmentation

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Photoionization of adsorbates on sites with non-axial local symmetry. An example of the symmetry group

Cited by 9 publications

References 53 publications

Chirality in the Solid State: Chiral Crystal Structures in Chiral and Achiral Space Groups

Chirality in the Solid State: Chiral Crystal Structures in Chiral and Achiral Space Groups

Chirality in the Solid State: Chiral Crystal Structures in Chiral and Achiral Space Groups

Vector Correlations in Dissociative Photoionization of Simple Molecules Induced by Polarized Light

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