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Karbon Atomunda Geçiş Olasılıklarının ve Osilatör Şiddetlerinin Hesaplanması

Year 2009, Volume: 2 Issue: 34, 149 - 158, 01.06.2009

Abstract

Bu çalışmada, Karbon atomunda bazı multiplet ve ince yapı seviyeleri arasındaki elektrik dipol geçiş olasılıkları ve osilatör şiddetleri en zayıf bağlı elektron potansiyel model teorisi kullanılarak hesaplandı. Geçiş olasılıklarının ve osilatör şiddetlerinin hesaplanması için gerekli olan parametrelerin belirlenmesinde, iyonlaşma enerjileri literatürdeki deneysel enerji verilerinden alındı ve seviyelere ait yarıçapların beklenen değerleri Sayısal Coulomb Yaklaşımı (NCA) ve nümerik non-relativistik Hartree-Fock (NRHF) dalga fonksiyonları kullanılarak elde edildi. Bu çalışmada elde edilen osilatör şiddetleri sonuçlarının kabul edilen değerlerle iyi uyumlu olduğu görüldü.

References

  • 1] Çelik, G., E. Akın ve H.Ş. Kılıç, “Azot atomunda geçiş olasılıklarının hesaplanması” S. Ü. Fen Ed. Fak. Fen Derg. 25, 113-118 (2005).
  • [2] Zheng, N.W. A New Theoretical Model for Many-Electron Atom and Ion Systems I Chinese Science Bulletin, 31 1238-1242 (1986)
  • [3] Zheng, N.W., Sun, Y.J., Ma, D.X., Yang, R., Zhou, T. and Wang. T. Theoretical Study on Regularity of Changes in Quantum Defects in Rydberg State Series of Many-Valence Electron Atoms within WBEPM Theory International Journal of Quantum Chemistry 81 232-237 (2001)
  • [4] Zheng N.W., Wang T., Yang R.Y.I., Zhou T., Ma D.X.I.A., Wu, Y.G.A.N.G. and Xu H.T.A.O. Transition Probabilities For Be I, Be Ii, Mg I, and Mg II Atomic Data and Nuclear Data Tables, vol. 79, no. 1, pp. 109-141(33) (2000)
  • [5] Zheng N.W., Wang T., Ma D.X.I.A. and Zhou T. Calculation of Transition Probability for C (I-IV) J. Opt. Soc. Am. B 18 1395-1409 (2001)
  • [6] Çelik, G. Çok Elektronlu Atomlarda Elektronik Geçişler Doktora Tezi, Fen Bilimleri Enstitüsü, Fizik Anabilimdalı, Konya (2005)
  • [7] Zheng, N.W. A New Outline of Atomic Theory Jiang Su Education Press Nanjing PR China (1988)
  • [8] Zheng, N.W. A New Theoretical Model for Many-Electron Atom and Ion Systems III Chinese Science Bulletin, 33 916-920 (1988)
  • [9] Zheng, N.W. and Xin, H.W. Succesive Ionization Potentials of 4fn Electrons within WBEPM Theory Journal of Physics B: Atomic, Molecular and Optical Physics 24 6 1187-1191 (1991)
  • [10] Zheng, N.W. and Li, G.S. Electronegativity-Average Nuclear-Potential of The Valence Electron J. Phys Chem-Us 98 (15): 3964-3966 (1994)
  • [11] Zheng, N.W. and Wang. T. Transition Probabilities for Ne II Spectrochimica Acta Part B 58 1319-1324 (2003)
  • [12] Tekeli, G. Elektrik Dipol Geçişler Yüksekli Lisans Tezi, Fen Bilimleri Enstitüsü, Fizik Anabilimdalı, Konya (2009)
  • [13] Çelik, G., Ateş, Ş. ve Kılıç, H. Ş. Lityum Atomunda Bazı Yüksek Uyarılmış Seviyelerin Bireysel Çizgileri Arasındaki Geçiş Olasılıklarının Hesaplanması S. Ü. Fen Ed. Fak. Fen Derg. 27, 67-72 (2006)
  • [14] Çelik, G., Akın, E. ve Kılıç, H. Ş. The Theoretical of Transition Probabilities for Some Excited p–d Transitions in Atomic Nitrogen Eur. Phys. J. D, 40, 325-330 (2006)
  • [15] Çelik, G., Kılıç, H. Ş. ve Akın, E. The Calculations of Oscillator Strengths and Transition probabilities for Atomic Fluorine T. J. Phys., 30, 165 (2006)
  • [16] Zheng, N.W. A New Empirical Formule About Calculation of Ionization Potential Chinese Science Bulletin, 22 531-535 (1977)
  • [17] Zheng, N.W. A New Theoretical Model For Many-Electron Atom and Ion Systems II Chinese Science Bulletin, 32 1263-1267 (1987)
  • [18] Zheng, N.W., Ma, D.X., Yang, R., Zhou, T., Wang. T. and Han, S. An Efficient Calculation of The Energy Levels of The Carbon Group Journal of Chemical Physics 113 5 1681-1687 (2000)
  • [19] Zheng, N.W., Wang. T. and Yang, R. Transition Probability of Cu I, Ag I and Au I from Weakest Bound Electron Potential Model Theory Journal of Chemical Physics 113 15 6169 (2000)
  • [20] Zheng, N.W., Zhou, T., Yang, R., Wang. T. and Ma, D.X. Analysis of Bound Odd-Parity Spectrum of Krypton by Weakest Bound Electron Potential Model Theory Chemical Physics 258 37-46 (2000)
  • [21] Zheng, N.W., Ma, D.X., Yang, R.Y., Zhou, T., Wang T. and Han S An Efficient Calculation of the Energy Levels of the Carbon Group Journal of Chemical Physics 113 (5): 1681-1687 (2000)
  • [22] Zheng, N.W., Wang. T., Zhou, T., Sun, Y.J., Su, Y. and Zhang, Y. Study of Transition Probability of Low States of Alkali Metal Atoms with WBEPM Theory Journal of The Physical Society of Japan 68 3859-3862 (1999)
  • [23] Desclaux, J.P. Hartree-Fock-Slater Self Consistent Field Calculations Computer Physics Communications, Volume 1 216-222 (1969)
  • [24] Lindgard, A. and Nielsen, S.E Numerical Approach to Transition Probabilities in The Coulomb Approximation: Be II And Mg II Rydberg Series Journal of Physics B 8 1183- 1199 (1975)
  • [25] Lindgard, A. and Nielsen, S.E Transition Probabilities for The Alkali Isoelectronic Sequences Li I, Na I, K I, Rb I, Cs I, Fr I Sequences Atomic Data and Nuclear Data Tables 19 533-6333 (1977)
  • [26] Kundu, B. and Mukherjee, P.K. Time-Dependent Hartree-Fock Calculations for The Excited “S” States of Lithium Isoelectronic Sequence Theor. Chim. Acta 66 173-181 (1984)
  • [27] Theodosiou, C.E. Lifetimes of Alkali-Metal–Atom Rydberg States Physical Review A 30 2881 (1984) [28] Viswanath, M.B. and Sen, K.D. Density Functional Theory Calculations of One Electron Rydberg States in Li Atom Theor. Chim. Acta 76 373-375 (1989)
  • [29] King, F.W. Radial Electronic Density Functions for Selected Low-Lying Excited 2S States of The Li I Isoelectronic Series Phys. Rev. A 44 3350-3353 (1991) Karbon Atomunda Geçiş Olasılıklarının ve Osilatör Şiddetlerinin Hesaplanması
  • 30] Sobelman, I.I. Introduction to The Theory of Atomic Spectra Pergamon Press Braunschweig (1975)
  • [31] Cowan, R.D. The Theory of Atomic Structure and Spectra University of California Press Berkeley (1981)
  • [32] Ralchenko, Y., A. E. Kramida, J. Reader and NIST ASD Team 2009 NIST Atomic Spectra Database (version 3.1.5), National Institute of Standards and Technology, Gaithersburg, MD (2009).

The Calculation of Transition probabilities and Oscillator Strengths in Carbon Atom

Year 2009, Volume: 2 Issue: 34, 149 - 158, 01.06.2009

Abstract

In this study, the electric dipole transition probabilities and oscillator strengths have been calculated between some multiplet and individual lines in carbon atom using the weakest bound electron potential model theory. In the determination of parameters needed for calculation of transition probabilities and oscillator strenghts, ionization energies have been taken from experimental energy data in the literature and the expectation values of radii belong to levels have been obtained using Numerical Coulomb Approximation (NCA) and numerical nonrelativistic Hartree-Fock (NRHF) wave functions. The results of oscillator strengths obtained from this study have been observed good agreement with accepted values.

References

  • 1] Çelik, G., E. Akın ve H.Ş. Kılıç, “Azot atomunda geçiş olasılıklarının hesaplanması” S. Ü. Fen Ed. Fak. Fen Derg. 25, 113-118 (2005).
  • [2] Zheng, N.W. A New Theoretical Model for Many-Electron Atom and Ion Systems I Chinese Science Bulletin, 31 1238-1242 (1986)
  • [3] Zheng, N.W., Sun, Y.J., Ma, D.X., Yang, R., Zhou, T. and Wang. T. Theoretical Study on Regularity of Changes in Quantum Defects in Rydberg State Series of Many-Valence Electron Atoms within WBEPM Theory International Journal of Quantum Chemistry 81 232-237 (2001)
  • [4] Zheng N.W., Wang T., Yang R.Y.I., Zhou T., Ma D.X.I.A., Wu, Y.G.A.N.G. and Xu H.T.A.O. Transition Probabilities For Be I, Be Ii, Mg I, and Mg II Atomic Data and Nuclear Data Tables, vol. 79, no. 1, pp. 109-141(33) (2000)
  • [5] Zheng N.W., Wang T., Ma D.X.I.A. and Zhou T. Calculation of Transition Probability for C (I-IV) J. Opt. Soc. Am. B 18 1395-1409 (2001)
  • [6] Çelik, G. Çok Elektronlu Atomlarda Elektronik Geçişler Doktora Tezi, Fen Bilimleri Enstitüsü, Fizik Anabilimdalı, Konya (2005)
  • [7] Zheng, N.W. A New Outline of Atomic Theory Jiang Su Education Press Nanjing PR China (1988)
  • [8] Zheng, N.W. A New Theoretical Model for Many-Electron Atom and Ion Systems III Chinese Science Bulletin, 33 916-920 (1988)
  • [9] Zheng, N.W. and Xin, H.W. Succesive Ionization Potentials of 4fn Electrons within WBEPM Theory Journal of Physics B: Atomic, Molecular and Optical Physics 24 6 1187-1191 (1991)
  • [10] Zheng, N.W. and Li, G.S. Electronegativity-Average Nuclear-Potential of The Valence Electron J. Phys Chem-Us 98 (15): 3964-3966 (1994)
  • [11] Zheng, N.W. and Wang. T. Transition Probabilities for Ne II Spectrochimica Acta Part B 58 1319-1324 (2003)
  • [12] Tekeli, G. Elektrik Dipol Geçişler Yüksekli Lisans Tezi, Fen Bilimleri Enstitüsü, Fizik Anabilimdalı, Konya (2009)
  • [13] Çelik, G., Ateş, Ş. ve Kılıç, H. Ş. Lityum Atomunda Bazı Yüksek Uyarılmış Seviyelerin Bireysel Çizgileri Arasındaki Geçiş Olasılıklarının Hesaplanması S. Ü. Fen Ed. Fak. Fen Derg. 27, 67-72 (2006)
  • [14] Çelik, G., Akın, E. ve Kılıç, H. Ş. The Theoretical of Transition Probabilities for Some Excited p–d Transitions in Atomic Nitrogen Eur. Phys. J. D, 40, 325-330 (2006)
  • [15] Çelik, G., Kılıç, H. Ş. ve Akın, E. The Calculations of Oscillator Strengths and Transition probabilities for Atomic Fluorine T. J. Phys., 30, 165 (2006)
  • [16] Zheng, N.W. A New Empirical Formule About Calculation of Ionization Potential Chinese Science Bulletin, 22 531-535 (1977)
  • [17] Zheng, N.W. A New Theoretical Model For Many-Electron Atom and Ion Systems II Chinese Science Bulletin, 32 1263-1267 (1987)
  • [18] Zheng, N.W., Ma, D.X., Yang, R., Zhou, T., Wang. T. and Han, S. An Efficient Calculation of The Energy Levels of The Carbon Group Journal of Chemical Physics 113 5 1681-1687 (2000)
  • [19] Zheng, N.W., Wang. T. and Yang, R. Transition Probability of Cu I, Ag I and Au I from Weakest Bound Electron Potential Model Theory Journal of Chemical Physics 113 15 6169 (2000)
  • [20] Zheng, N.W., Zhou, T., Yang, R., Wang. T. and Ma, D.X. Analysis of Bound Odd-Parity Spectrum of Krypton by Weakest Bound Electron Potential Model Theory Chemical Physics 258 37-46 (2000)
  • [21] Zheng, N.W., Ma, D.X., Yang, R.Y., Zhou, T., Wang T. and Han S An Efficient Calculation of the Energy Levels of the Carbon Group Journal of Chemical Physics 113 (5): 1681-1687 (2000)
  • [22] Zheng, N.W., Wang. T., Zhou, T., Sun, Y.J., Su, Y. and Zhang, Y. Study of Transition Probability of Low States of Alkali Metal Atoms with WBEPM Theory Journal of The Physical Society of Japan 68 3859-3862 (1999)
  • [23] Desclaux, J.P. Hartree-Fock-Slater Self Consistent Field Calculations Computer Physics Communications, Volume 1 216-222 (1969)
  • [24] Lindgard, A. and Nielsen, S.E Numerical Approach to Transition Probabilities in The Coulomb Approximation: Be II And Mg II Rydberg Series Journal of Physics B 8 1183- 1199 (1975)
  • [25] Lindgard, A. and Nielsen, S.E Transition Probabilities for The Alkali Isoelectronic Sequences Li I, Na I, K I, Rb I, Cs I, Fr I Sequences Atomic Data and Nuclear Data Tables 19 533-6333 (1977)
  • [26] Kundu, B. and Mukherjee, P.K. Time-Dependent Hartree-Fock Calculations for The Excited “S” States of Lithium Isoelectronic Sequence Theor. Chim. Acta 66 173-181 (1984)
  • [27] Theodosiou, C.E. Lifetimes of Alkali-Metal–Atom Rydberg States Physical Review A 30 2881 (1984) [28] Viswanath, M.B. and Sen, K.D. Density Functional Theory Calculations of One Electron Rydberg States in Li Atom Theor. Chim. Acta 76 373-375 (1989)
  • [29] King, F.W. Radial Electronic Density Functions for Selected Low-Lying Excited 2S States of The Li I Isoelectronic Series Phys. Rev. A 44 3350-3353 (1991) Karbon Atomunda Geçiş Olasılıklarının ve Osilatör Şiddetlerinin Hesaplanması
  • 30] Sobelman, I.I. Introduction to The Theory of Atomic Spectra Pergamon Press Braunschweig (1975)
  • [31] Cowan, R.D. The Theory of Atomic Structure and Spectra University of California Press Berkeley (1981)
  • [32] Ralchenko, Y., A. E. Kramida, J. Reader and NIST ASD Team 2009 NIST Atomic Spectra Database (version 3.1.5), National Institute of Standards and Technology, Gaithersburg, MD (2009).
There are 31 citations in total.

Details

Other ID JA58CR37PH
Journal Section Research Articles
Authors

Gökhan Tekeli This is me

Şule Ateş This is me

Gültekin Çelik This is me

Mehmet Taşer This is me

Publication Date June 1, 2009
Submission Date June 1, 2009
Published in Issue Year 2009 Volume: 2 Issue: 34

Cite

APA Tekeli, G., Ateş, Ş., Çelik, G., Taşer, M. (2009). Karbon Atomunda Geçiş Olasılıklarının ve Osilatör Şiddetlerinin Hesaplanması. Selçuk Üniversitesi Fen Fakültesi Fen Dergisi, 2(34), 149-158.
AMA Tekeli G, Ateş Ş, Çelik G, Taşer M. Karbon Atomunda Geçiş Olasılıklarının ve Osilatör Şiddetlerinin Hesaplanması. sufefd. June 2009;2(34):149-158.
Chicago Tekeli, Gökhan, Şule Ateş, Gültekin Çelik, and Mehmet Taşer. “Karbon Atomunda Geçiş Olasılıklarının Ve Osilatör Şiddetlerinin Hesaplanması”. Selçuk Üniversitesi Fen Fakültesi Fen Dergisi 2, no. 34 (June 2009): 149-58.
EndNote Tekeli G, Ateş Ş, Çelik G, Taşer M (June 1, 2009) Karbon Atomunda Geçiş Olasılıklarının ve Osilatör Şiddetlerinin Hesaplanması. Selçuk Üniversitesi Fen Fakültesi Fen Dergisi 2 34 149–158.
IEEE G. Tekeli, Ş. Ateş, G. Çelik, and M. Taşer, “Karbon Atomunda Geçiş Olasılıklarının ve Osilatör Şiddetlerinin Hesaplanması”, sufefd, vol. 2, no. 34, pp. 149–158, 2009.
ISNAD Tekeli, Gökhan et al. “Karbon Atomunda Geçiş Olasılıklarının Ve Osilatör Şiddetlerinin Hesaplanması”. Selçuk Üniversitesi Fen Fakültesi Fen Dergisi 2/34 (June 2009), 149-158.
JAMA Tekeli G, Ateş Ş, Çelik G, Taşer M. Karbon Atomunda Geçiş Olasılıklarının ve Osilatör Şiddetlerinin Hesaplanması. sufefd. 2009;2:149–158.
MLA Tekeli, Gökhan et al. “Karbon Atomunda Geçiş Olasılıklarının Ve Osilatör Şiddetlerinin Hesaplanması”. Selçuk Üniversitesi Fen Fakültesi Fen Dergisi, vol. 2, no. 34, 2009, pp. 149-58.
Vancouver Tekeli G, Ateş Ş, Çelik G, Taşer M. Karbon Atomunda Geçiş Olasılıklarının ve Osilatör Şiddetlerinin Hesaplanması. sufefd. 2009;2(34):149-58.

Journal Owner: On behalf of Selçuk University Faculty of Science, Rector Prof. Dr. Hüseyin YILMAZ
Selcuk University Journal of Science Faculty accepts articles in Turkish and English with original results in basic sciences and other applied sciences. The journal may also include compilations containing current innovations.

It was first published in 1981 as "S.Ü. Fen-Edebiyat Fakültesi Dergisi" and was published under this name until 1984 (Number 1-4).
In 1984, its name was changed to "S.Ü. Fen-Edeb. Fak. Fen Dergisi" and it was published under this name as of the 5th issue.
When the Faculty of Letters and Sciences was separated into the Faculty of Science and the Faculty of Letters with the decision of the Council of Ministers numbered 2008/4344 published in the Official Gazette dated 3 December 2008 and numbered 27073, it has been published as "Selcuk University Journal of Science Faculty" since 2009.
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