On the analytical solutions of the Hamiltonian of a Frenkel exciton for the lattice of a regular polyhedral cluster

V. V. Rotkin; S. F. Kharlapenko

doi:10.1134/1.567915

On the analytical solutions of the Hamiltonian of a Frenkel exciton for the lattice of a regular polyhedral cluster

V. V. Rotkin
, S. F. Kharlapenko

Engineering Science and Mechanics

Research output: Contribution to journal › Article › peer-review

Abstract

The Coulomb Hamiltonian of a small-radius exciton on a cluster whose atoms occupy the sites of a group lattice is studied. The spectrum of Frenkel excitons can be obtained analytically for definite modes by the methods of harmonic analysis of the lattice Hamiltonian. The carbon cluster C₆₀ with icosahedral symmetry is given as an example.

Original language	English (US)
Pages (from-to)	606-610
Number of pages	5
Journal	JETP Letters
Volume	68
Issue number	7
DOIs	https://doi.org/10.1134/1.567915
State	Published - 1998

All Science Journal Classification (ASJC) codes

Physics and Astronomy (miscellaneous)

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10.1134/1.567915

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title = "On the analytical solutions of the Hamiltonian of a Frenkel exciton for the lattice of a regular polyhedral cluster",

abstract = "The Coulomb Hamiltonian of a small-radius exciton on a cluster whose atoms occupy the sites of a group lattice is studied. The spectrum of Frenkel excitons can be obtained analytically for definite modes by the methods of harmonic analysis of the lattice Hamiltonian. The carbon cluster C60 with icosahedral symmetry is given as an example.",

author = "Rotkin, \{V. V.\} and Kharlapenko, \{S. F.\}",

note = "Funding Information: We thank E. L. Ivchenko for a discussion which stimulated this work, and I. Yu. Solov{\textquoteright}ev for helpful remarks. This work was supported in part by Grant No. 96-02-17926 from the Russian Fund for Fundamental Research and Grant No. 98062 from the program {\textquoteleft}{\textquoteleft}Fullerenes and Atomic Clusters.{\textquoteright}{\textquoteright}",

year = "1998",

doi = "10.1134/1.567915",

language = "English (US)",

volume = "68",

pages = "606--610",

journal = "JETP Letters",

issn = "0021-3640",

publisher = "Pleiades Publishing",

number = "7",

}

TY - JOUR

T1 - On the analytical solutions of the Hamiltonian of a Frenkel exciton for the lattice of a regular polyhedral cluster

AU - Rotkin, V. V.

AU - Kharlapenko, S. F.

N1 - Funding Information: We thank E. L. Ivchenko for a discussion which stimulated this work, and I. Yu. Solov’ev for helpful remarks. This work was supported in part by Grant No. 96-02-17926 from the Russian Fund for Fundamental Research and Grant No. 98062 from the program ‘‘Fullerenes and Atomic Clusters.’’

PY - 1998

Y1 - 1998

N2 - The Coulomb Hamiltonian of a small-radius exciton on a cluster whose atoms occupy the sites of a group lattice is studied. The spectrum of Frenkel excitons can be obtained analytically for definite modes by the methods of harmonic analysis of the lattice Hamiltonian. The carbon cluster C60 with icosahedral symmetry is given as an example.

AB - The Coulomb Hamiltonian of a small-radius exciton on a cluster whose atoms occupy the sites of a group lattice is studied. The spectrum of Frenkel excitons can be obtained analytically for definite modes by the methods of harmonic analysis of the lattice Hamiltonian. The carbon cluster C60 with icosahedral symmetry is given as an example.

UR - https://www.scopus.com/pages/publications/20444387615

UR - https://www.scopus.com/pages/publications/20444387615#tab=citedBy

U2 - 10.1134/1.567915

DO - 10.1134/1.567915

M3 - Article

AN - SCOPUS:20444387615

SN - 0021-3640

VL - 68

SP - 606

EP - 610

JO - JETP Letters

JF - JETP Letters

IS - 7

ER -

On the analytical solutions of the Hamiltonian of a Frenkel exciton for the lattice of a regular polyhedral cluster

Abstract

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