Calculation of the energy levels of excited vibrational states of the HD16O molecule by summing divergent series of the Rayleigh-Schrodinger perturbation theory. The shift of zero-order levels; Optics and Spectroscopy; Vol. 116, iss. 4
| Parent link: | Optics and Spectroscopy Vol. 116, iss. 4.— 2014.— [P. 557-563] |
|---|---|
| Hovedforfatter: | |
| Institution som forfatter: | |
| Andre forfattere: | , |
| Summary: | Title screen The Rayleigh-Schrodinger perturbation theory is applied to calculation of the energy levels of excited vibrational states of the HD16O molecule. The model of coupled anharmonic oscillators is considered, with the anharmonic part of potential energy being taken into account as the perturbation. The calculations are carried out for the vibrational states that correspond to three-to seven-fold vibrational excitations. Since the perturbation series diverge in the case of strong resonance interactions and their approximations by the Pade and Pade-Hermite methods do not yield sufficiently correct results, a calculation technique is applied that allows the zero-order approximation to be modified. The zero-order Hamiltonian is modified by shifting the vibrational frequencies, which decreases the mixing of states. The new Rayleigh-Schrodinger series can be summed using the quadratic Pade-Hermite approximation method. Режим доступа: по договору с организацией-держателем ресурса |
| Sprog: | engelsk |
| Udgivet: |
2014
|
| Serier: | Spectroscopy Of Atoms And Molecules |
| Fag: | |
| Online adgang: | http://dx.doi.org/10.1134/S0030400X14030047 |
| Format: | Electronisk Book Chapter |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=648027 |
Lignende værker
Calculation of vibrational HDO energy levels: Analysis of perturbation theory series; Optics and Spectroscopy; Vol. 114, iss. 3
af: Bykov A. D. Aleksandr Dmitrievich
Udgivet: (2013)
af: Bykov A. D. Aleksandr Dmitrievich
Udgivet: (2013)
IUPAC critical evaluation of the rotational–vibrational spectra of water vapor. Part II. Energy levels and transition wavenumbers for HD16O, HD17O, and HD18O; Journal of Quantitative Spectroscopy and Radiative Transfer; Vol. 111, № 15
Udgivet: (2010)
Udgivet: (2010)
Divergent series summation technique applied to molecular vibrational energy levels calculation; Физико-технические проблемы атомной науки, энергетики и промышленности
af: Duchko A. N. Andrey Nikolaevich
Udgivet: (2014)
af: Duchko A. N. Andrey Nikolaevich
Udgivet: (2014)
Critical evaluation of measured rotation–vibration transitions and an experimental dataset of energy levels of HD18O; Journal of Quantitative Spectroscopy and Radiative Transfer; Vol. 110, № 9-10
Udgivet: (2009)
Udgivet: (2009)
Resummation of divergent perturbation series: Application to the vibrational states of H2CO molecule; The Journal of Chemical Physics; Vol. 143, iss. 15
af: Duchko A. N. Andrey Nikolaevich
Udgivet: (2015)
af: Duchko A. N. Andrey Nikolaevich
Udgivet: (2015)
Homo sum
af: Ebers G. M.
Udgivet: (Санкт-Петербург, Лань, 2014)
af: Ebers G. M.
Udgivet: (Санкт-Петербург, Лань, 2014)
Web: level 5
af: Wyndham J. John
Udgivet: (Harlow, Longman, 2000)
af: Wyndham J. John
Udgivet: (Harlow, Longman, 2000)
Catwoman: level 3
Udgivet: (London, Scholastic, 2005)
Udgivet: (London, Scholastic, 2005)
Dracula: level 3
af: Stoker B. Bram
Udgivet: (Harlow, Penguin Books, 2000)
af: Stoker B. Bram
Udgivet: (Harlow, Penguin Books, 2000)
Vibrational Dependences of Broadening and Shift Coefficients of H2O Absorption Lines Perturbed by Ne, Kr, and Xe; Atmospheric and Oceanic Optics; Vol. 31, No. 4
af: Starikov V. I. Vitaly Ivanovich
Udgivet: (2018)
af: Starikov V. I. Vitaly Ivanovich
Udgivet: (2018)
Core electron level shifts in zirconium induced by vacancy, helium and hydrogen; Computational Materials Science; Vol. 153
Udgivet: (2018)
Udgivet: (2018)
Levels of Reality in Science and Philosophy Re-examining the Multi-level Structure of Reality /
Udgivet: (2022)
Udgivet: (2022)
Constructive and processing methods of reducing vibration level of the metalworking machinery elements; Journal of Vibroengineering; Vol. 17, № 7
af: Gavrilin A. N. Aleksei Nikolaevich
Udgivet: (2015)
af: Gavrilin A. N. Aleksei Nikolaevich
Udgivet: (2015)
Focus on Grammar: Basic Level
af: Eckstut S. Samuela
Udgivet: (New York, Longman, Б.г.)
af: Eckstut S. Samuela
Udgivet: (New York, Longman, Б.г.)
Big City. Level 1
af: Hutchinson T. Tom
Udgivet: (New York, Oxford University Press, 2001)
af: Hutchinson T. Tom
Udgivet: (New York, Oxford University Press, 2001)
Big City. Level 2
Udgivet: (New York, Oxford University Press, 2003)
Udgivet: (New York, Oxford University Press, 2003)
Big City Level 3
Udgivet: (Oxford, Oxford University Press, 2004)
Udgivet: (Oxford, Oxford University Press, 2004)
Robin Hood: level 2
Udgivet: (Harlow, Penguin Books, 2000)
Udgivet: (Harlow, Penguin Books, 2000)
Alice in Wonderland: level 2
af: Carroll L. Lewis
Udgivet: (Harlow, Penguin Books, 2000)
af: Carroll L. Lewis
Udgivet: (Harlow, Penguin Books, 2000)
Blog Love: starter level
af: Moore Ch. Chris
Udgivet: (London, Scholastic, 2006)
af: Moore Ch. Chris
Udgivet: (London, Scholastic, 2006)
Manchester United: level 3
af: Brophy K. Kevin
Udgivet: (Harlow, Longman, 2001)
af: Brophy K. Kevin
Udgivet: (Harlow, Longman, 2001)
Jude the Obscure: level 5
af: Hardy T. Thomas
Udgivet: (Harlow, Penguin Books, 1999)
af: Hardy T. Thomas
Udgivet: (Harlow, Penguin Books, 1999)
Robinson Crusoe: level 2
af: Defoe D. Daniel
Udgivet: (Harlow, Penguin Books, 2000)
af: Defoe D. Daniel
Udgivet: (Harlow, Penguin Books, 2000)
The Prince and the Pauper: level 2
af: Twain M. Mark
Udgivet: (Harlow, Penguin Books, 2000)
af: Twain M. Mark
Udgivet: (Harlow, Penguin Books, 2000)
Black Beauty: level 2
af: Sewell A. Anna
Udgivet: (Harlow, Penguin Books, 2000)
af: Sewell A. Anna
Udgivet: (Harlow, Penguin Books, 2000)
Gulliver's Travels: level 2
af: Swift J. Jonathan
Udgivet: (Harlow, Penguin Books, 2000)
af: Swift J. Jonathan
Udgivet: (Harlow, Penguin Books, 2000)
Billy Elliot: level 1
af: Burgess M. Melvin
Udgivet: (London, Scholastic, 2006)
af: Burgess M. Melvin
Udgivet: (London, Scholastic, 2006)
Sons and Lovers: level 5
af: Lawrence D. H. R. David Herbert Richards
Udgivet: (Harlow, Penguin Books, 2000)
af: Lawrence D. H. R. David Herbert Richards
Udgivet: (Harlow, Penguin Books, 2000)
The Man of Property. Upper Level
af: Galsworthy J. John
Udgivet: (Oxford, Macmillan, 2002)
af: Galsworthy J. John
Udgivet: (Oxford, Macmillan, 2002)
Farm-Level Microsimulation Modelling
af: O'Donoghue, Cathal
Udgivet: (2017)
af: O'Donoghue, Cathal
Udgivet: (2017)
A Summing Up
af: Woolf V.
Udgivet: (Санкт-Петербург, Лань, 2013)
af: Woolf V.
Udgivet: (Санкт-Петербург, Лань, 2013)
Primary-Level Government Issues in Rural Governance in China /
af: Zhang, Jing
Udgivet: (2025)
af: Zhang, Jing
Udgivet: (2025)
Language Policy at the Supranational Level English and the ASEAN /
af: Lee, Huan Yik, et al.
Udgivet: (2024)
af: Lee, Huan Yik, et al.
Udgivet: (2024)
Media on a Political Level Stasis and Polemos /
af: Arabatzis, Stavros
Udgivet: (2025)
af: Arabatzis, Stavros
Udgivet: (2025)
Up and Away in Phonics: Level 1
af: Crowther T. Terence
Udgivet: (New York, Oxford University Press, 1997)
af: Crowther T. Terence
Udgivet: (New York, Oxford University Press, 1997)
Combatting Corruption at the Grassroots Level in Nigeria
af: Oluyitan, Funso E.
Udgivet: (2017)
af: Oluyitan, Funso E.
Udgivet: (2017)
Lifetime: Teacher's Book; Level 1
af: Hutchinson T. Tom
Udgivet: (New York, Oxford University Press, 1999)
af: Hutchinson T. Tom
Udgivet: (New York, Oxford University Press, 1999)
Lifetime: Student's Book Level 1
af: Hutchinson T. Tom
Udgivet: (New York, Oxford University Press, 1999)
af: Hutchinson T. Tom
Udgivet: (New York, Oxford University Press, 1999)
Lifetime: Student's Book Level 2
af: Hutchinson T. Tom
Udgivet: (New York, Oxford University Press, 1999)
af: Hutchinson T. Tom
Udgivet: (New York, Oxford University Press, 1999)
Lifetime: Teacher's Book: Level 2
af: Hutchinson T. Tom
Udgivet: (New York, Oxford University Press, 1999)
af: Hutchinson T. Tom
Udgivet: (New York, Oxford University Press, 1999)