УДОСКОНАЛЕНИЙ МЕТОД ФУНКЦІЙ ГРІНА І ФУНКЦІОНАЛУ ГУСТИНИ У ВИЗНАЧЕННІ ВІБРАЦІЙНОЇ СТРУКТУРИ ФОТОЕЛЕКТРОННОГО СПЕКТРУ ДВОАТОМНИХ МОЛЕКУЛ

Автор(и)

  • A. A. Kuznetsova Одеська національна морська академія, Ukraine
  • Yu. V. Dubrovskaya Одеський державний екологічний університет, Ukraine
  • A. V. Glushkov Одеський державний екологічний університет, Ukraine https://orcid.org/0000-0001-7192-791X
  • Ya. I. Lepikh Одеський національний університет імені І. І. Мечникова, Ukraine

DOI:

https://doi.org/10.18524/0235-2435.2017.26.126101

Ключові слова:

фoтoелектронний спектр молекул, метод функцій Гріна, теорія функціонала густини

Анотація

Удосконалений комбінований теоретичний метод опису вібраційної структури для фотоелектронних спектрів молекул, який базується на методі функцій Гріна і теорії функціоналу густини , застосовано до кількісного опису фотоелектронного спектру двоатомних молекул. Густина станів, які описують коливальну структуру у фотоелектронних спектрах, визначається з використанням комбінованого Гріна підходу (метод функціоналу густини і функцій Гріна) та добре апроксимується з використанням тільки першого порядку констант зв’язку в одноквазі-частинковому наближенні. Використання теорії функціоналу густини призводить до значного спрощення молекулярних розрахунків

Біографії авторів

A. A. Kuznetsova, Одеська національна морська академія

A. A. Kuznetsova

Yu. V. Dubrovskaya, Одеський державний екологічний університет

Yu. V. Dubrovskaya

A. V. Glushkov, Одеський державний екологічний університет

A. V. Glushkov

Ya. I. Lepikh, Одеський національний університет імені І. І. Мечникова

Ya. I Lepikh

Посилання

Glushkov A.V., New approach to theoretical definition of ionization potentials for molecules on the basis of Green’s function method//Journ.of Phys. Chem.-1992.-Vol.66.-P.2671-2677.

Glushkov A.V., Relativistic quantum theory. Quantum mechanics of atomic systems.-Odessa: Astroprint, 2008.- 700P.

Glushkov A.V., The Green’s functions and density functional approach to vibrational structure in the photoelectron spectra of molecules: Review of method//Photoelectronics.-2014.-Vol.23.-P.54-72.

Glushkov A.V., Lepikh Ya.I., Fedchuk A.P., Loboda A.V., The Green’s

functions and density functional approach to vibrational structure in

the photoelectron spectra of molecules//Photoelectronics.-2009.-N18.-

P.119-127.

Svinarenko A.A., Fedchuk A.P., Glushkov A.V.,Lepikh Ya.I., Loboda A.V.,

Lopatkin Yu.M., The Green’s functions and density functional approach

to vibrational structure in the photoelectron spectra of carbon oxide molecule//Photoelectronics.-2010.-N19.-P.115-120.

Glushkov A.V., Fedchuk A.P., Kondratenko P.A., Lepikh Ya.I., Lopatkin

Yu.M., Svinarenko A.A., The Green’s functions and density functional approach to vibrational structure in the photoelectron spectra: Molecules of CH, HF//Photoelectronics.-2011.-Vol.20.-P.58-62.

Glushkov A.., Koltzova N., Effective account of polarization effects in calculation of oscillator strengths and energies for atoms and molecules by method of equations of motion// Opt. Spectr. -1994.- Vol. 76,№6.-P.885-890.

Glushkov A.V., Quasiparticle approach in the density functional theory under finte temperatures and dynamics of effective Bose -condensate // Ukr. Phys. Journ.- 1993.-Vol. 38, №8.-P.152-157.

Ponomarenko Е.L., Kuznetsova A.A., Dubrovskaya Yu.V., Bakunina (Mischenko) E.V., Energy and spectroscopic parameters of diatomics within generalized equation of motion method// Photoelectronics.-2016.-Vol.25.-P.114-118.

Mischenko E.V., An effective account of correlation in calculation of excited states energies for molecules by equation of motion method: О3 //Photoelectronics.-2007.-N16.-P.123-125.

Köppel H., Domcke W., Cederbaum L.S., Green’s function method in quantum chemistry// Adv. Chem. Phys.-1994.-Vol.57.-P.59-132.

Cederbaum L.S., Domcke W., On vibrational structure of photoelectron

spectra by the Green’s functions method// J.Chem. Phys.-1984.-Vol.60.-

P.2878-2896.

Zangwill A.,Soven P.J. Density-functional approach to local field effects in

finite systems. Photo-absorption in rare gases // Phys.Rev.A.-1990.-Vol.21,N5-P.1561-1572.

Kobayashi K., Kurita N., Kumahora H., Kuzatami T. Bond-energy calculations of Cu , Ag, CuAg with the generalized gradient approximation // Phys. Rev.A.-1991.-Vol.43.-P.5810-5813.

Lagowscki J.B., Vosko S.H. Analysis of local and gradient- correction correlation energy functionals using electron removal energies// J. Phys. B: At. Mol. Opt. Phys.-1998.-Vol.21,N1-P.203-208.

Guo Y., Whitehead M.A. Effect of the correlation correction on the ionization potential and electron affinity in atoms// Phys.Rev.A-1999.-Vol.39,N1.-P.28-34. 84

Glushkov A.V., An universal quasiparticle energy functional in a density

functional theory for relativistic atom// Optics and Spectr.-1999.-Vol. 66, N1-P.31-36.

Glushkov A.V., Relativistic and correlation effects in spectra of atomic

systems.-Odessa: Astroprint.-2006.-400P.

Glushkov A.V., Atom in electromagnetic field.-Kiev: KNT, 2005.-450P.

Khetselius O.Yu., Hyperfine structure of atomic spectra.-Odessa: Astroprint, 2008.-210P.

Glushkov A.V., Khetselius O.Y., Malinovskaya S.V., Spectroscopy of cooperative laser-electron nuclear effects in multiatomic molecules// Molec. Phys.-2008. -Vol.106.-N9-10.-P.1257-1260.

Glushkov A.V., Khetselius O.Y., Malinovskaya S.V., New laser-electron

nuclear effects in the nuclear γ transition spectra in atomic and molecular

systems// Frontiers in Quantum Systems in Chemistry and Physics. Series: Progress in Theoretical Chemistry and Physics , Eds. S.Wilson, P.J.Grout, J. Maruani, G. Delgado-Barrio, P. Piecuch (Springer).-2008.-Vol.18.-525-541.

Glushkov A.V., Khetselius O.Yu., Svinarenko A.A., Prepelitsa G.P. , Shakhman A., Spectroscopy of cooperative laserelectron nuclear processes in diatomic and multiatomic molecules//Spectral Lines Shape (AIP, USA).-2010.- Vol.16.-P.269-273.

Glushkov A.V., Kondratenko P.A., Buyadzhi V., Kvasikova A.S., Shakhman A., Sakun T., Spectroscopy of cooperative laser electron-γ-nuclear processes in polyatomic molecules// Journal of Physics: C Series (IOP, London, UK).-2014.-Vol.548.-P. 012025 (5p.).

Glushkov A.V., Kondratenko P.A., Lopatkin Yu., Buyadzhi V., Kvasikova

A., Spectroscopy of cooperative laser electron- γ -nuclear processes in

diatomics and multiatomic molecules // Photoelectronics.-2014.-Vol.23.-

P.142-146.

Khetselius O.Yu., Optimized perturbation theory to calculating the hyperfine line shift and broadening for heavy atoms in the buffer gas// Frontiers in Quantum Methods and Applications in Chemistry and Physics. Ser.: Progress in Theor. Chem. and Phys., Eds. M.Nascimento, J.Maruani, E.Brändas, G.Delgado-Barrio (Springer).-2015-Vol.29.-P.55-76.

Khetselius O.Yu., Relativistic energy approach to cooperative electronγ-nuclear processes: NEET Effect// Quantum Systems in Chemistry and

Physics: Progress in Methods and Applications. Ser.: Progress in Theor.

Chem. and Phys., Eds. K.Nishikawa, J. Maruani, E.Brandas, G. Delgado-Barrio, P.Piecuch (Springer).-2012-Vol.26.- P.217-229.

Buyadzhi V.V., Glushkov A.V., Lovett L., Spectroscopy of atoms and nuclei in a strong laser field: AC Stark effect and multiphoton resonances //Photoelectronics.-2014.-Vol.23.-P. 38-43.

Khetselius O., Spectroscopy of cooperative electron-gamma-nuclear processes in heavy atoms: NEET effect// J. Phys.: Conf. Ser.-2012.- Vol.397.-P.012012

Glushkov A.V., Khetselius O.Yu., Loboda A.V., Svinarenko A.A., QED approach to atoms in a laser field: Multiphoton resonances and above threshold ionization// Frontiers in Quantum Systems in Chemistry and Physics, Ser.: Progress in Theoretical Chemistry and Physics; Eds. S.Wilson, P.J.Grout, J. Maruani, G. Delgado-Barrio, P. Piecuch (Springer), 2008.-Vol.18.-P.543-560.

Glushkov A.V., Khetselius O.Yu., Svinarenko A.A., Prepelitsa G.P., Energy

approach to atoms in a laser field and quantum dynamics with laser pulses of different shape//In: Coherence and Ultrashort Pulse Laser Emission, Ed. by Dr. F. Duarte (InTech).-2010.-P.159-186.

Glushkov A.V., Khetselius O., Svinarenko A, Relativistic theory of cooperative muon-g gamma-nuclear processes: Negative muon capture and metastable nucleus discharge// Advances in the Theory of Quantum Systems in Chemistry and Physics. Ser.: Progress in Theor. Chem. and Phys., Eds. P.Hoggan, E.Brandas, J.Maruani, G. DelgadoBarrio, P.Piecuch (Springer).-2012.-Vol.22.-P.51.

Glushkov A.V., Khetselius O.Yu., Prepelitsa G., Svinarenko A.A., Geometry of Chaos: Theoretical basis's of a consistent combined approach to treating chaotic dynamical systems and their parameters determination //Proc. of International Geometry Center".-2013.-Vol.6, N1.-P.43-48.

Malinovskaya S.V., Glushkov A.V., Dubrovskaya Yu.V., Vitavetskaya L.A.,

Quantum calculation of cooperative muon-nuclear processes: discharge of

metastable nuclei during negative muon capture// Recent Advances in the Theory of Chemical and Physical Systems (Springer).-2006.-Vol.15.-P.301-307.

Malinovskaya S.V., Glushkov A.V., Khetselius O.Yu., Lopatkin Yu., Loboda

A., Svinarenko A., Nikola L., Perelygina T., Generalized energy approach

to calculating electron collision crosssections for multicharged ions in a plasma: Debye shielding model// Int. Journ. Quant. Chem.-2011.-Vol.111,N2.- P.288-296.

Malinovskaya S.V., Glushkov A.V., Khetselius O.Yu., Svinarenko A.A.,

Mischenko E.V., Florko T.A., Optimized perturbation theory scheme for

calculating the interatomic potentials and hyperfine lines shift for heavy atoms in the buffer inert gas//Int. Journ. Quant.Chem.-2009.-Vol.109, N14.- P.3325-3329.

Glushkov A.V., Khetselius O.Yu., Svinarenko A., Prepelitsa G., Mischenko E., The Green’s functions and density functional approach to vibrational structure in the photoelectron spectra for molecules// AIP Conf. Proceedings.-2010.- Vol.1290.-P. 263-268.

Khetselius O.Yu., Florko T.A., Svinarenko A.A., Tkach T.B., Radiative

and collisional spectroscopy of hyperfine lines of the Li-like heavy ions

and Tl atom in an atmosphere of inert gas//Phys.Scripta.-2013.-Vol.T153-

P.014037.

Khetselius O.Yu., Hyperfine structure of radium//Photoelectronics.-2005.-

N14.-P.83-85.

Glushkov A.V, Malinovskaya S.,Co-operative laser nuclear processes: border lines effects// In: New projects and new lines of research in nuclear physics. Eds. G.Fazio, F.Hanappe, Singapore: World Scientific. - 2003.-P.242-250.

Glushkov A.V., Lovett L., Khetselius O., Gurnitskaya E., Dubrovskaya Yu.,

Loboda A., Generalized multiconfiguration model of decay of multipole giant resonances applied to analysis of reaction (m-n) on the nucleus 40Ca// Internat. Journ. Modern Physics A.-2009.- Vol.24, N.2-3.-P.611-615.

Glushkov A., Malinovskaya S., Sukharev D., Khetselius O.Yu., Loboda

A., Lovett L., Green’s function method in quantum chemistry: New numerical algorithm for the Dirac equation with complex energy and Fermi-model nuclear potential//Int.J. Quant. Chem.-2009.- Vol. 109.-N8.-P.1717-1727.

Glushkov A.V., Malinovskaya S.V, Gurnitskaya E.P., Khetselius O.Yu., Dubrovskaya Yu.V., Consistent quantum theory of the recoil induced excitation and ionization in atoms during capture of neutron// Journal of Physics: Conf. Series (IOP).-2006.- Vol.35.-P.425-430.

Glushkov A.V., Khetselius O.Yu., Gurnitskaya E.P., Loboda A.V., Sukharev

D.E., Relativistic quantum chemistry of heavy ions and hadronic atomic

systems: spectra and energy shifts// Theory and Applications of Computational Chemistry. AIP Conference Proceedings.-2009.-Vol.1102.-

P.168-171.

Khetselius O.Yu., Turin A.V., Sukharev D.E., Florko T.A., Estimating of Xray spectra for kaonic atoms as tool for sensing the nuclear structure// Sensor Electr. and Microsyst. Techn.-2009.-N1.-P.30-35.

Glushkov A.V., Effective quasi-particle valence hamiltonian of molecules in the comprehensive semi-empirical theory// Sov. J. Struct. Chem.- 1998. -Vol.29,N4.-P.3-9.

Khetselius O.Yu., Quantum Geometry: New approach to quantization of the quasistationary states of Dirac equation for super heavy ion and calculating hyper fine structure parameters// Proc. Int. Geometry Center.-2012.-Vol.5,№ 3-4.- P.39-45.

Glushkov A.V., Khetselius O.Yu., Svinarenko A.A., Theoretical spectroscopy of autoionization resonances in spectra of lanthanide atoms// Physica Scripta.-2013.-Vol.T153.-P.014029.

Gedasimov V N, Zelenkov A G, Kulakov V M et al 1994 JETP. 86 1169; Soldatov A A 1983 Preprint of I.V.Kurchatov Institute for Atomic Energy IAE-3916, Moscow

Glushkov A.V., Operator Perturbation Theory for Atomic Systems in a

Strong DC Electric Field//Advances in Quantum Methods and Applications

in Chemistry, Physics, and Biology. Series: Frontiers in Theoretical Physics and Chemistry, Eds. M.Hotokka, J.Maruani, E. Brändas, G.DelgadoBarrio (Springer).-2013.-Vol. 27.-P.161-177.

Glushkov A.V., Kondratenko P.A., Lepikh Ya., Fedchuk A.P., Svinarenko

A.A., Lovett L., Electrodynamical and quantum - chemical approaches

to modelling the electrochemical and catalytic processes on metals, metal

alloys and semiconductors// Int. J. Quantum Chem.-2009.-Vol.109, N14.-

P.3473-3481.

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2018-03-14

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