Lityum Atomunda Bazı Yüksek Uyarılmış Seviyelerin Bireysel Çizgileri Arasındaki Geçiş Olasılıklarının Hesaplanması

Abstract

Bu çalışmada, lityum atomunda bazı yüksek uyarılmış seviyelerin bireysel çizgileri arasındaki geçiş olasılıkları en zayıf bağlı elektron potansiyel model teorisi kullanılarak hesaplandı. Geçiş olasılıklarının hesaplanması için gerekli olan parametrelerin belirlenmesinde iyonlaşma enerjileri literatürdeki deneysel enerji verilerinden ve seviyelere ait yarıçapların beklenen değerleri Sayısal Coulomb Yaklaşımı (NCA) kullanılarak elde edildi. Bu çalışmada elde edilen geçiş olasılığı sonuçlarının kabul edilen değerlerle iyi uyumlu olduğu görüldü.

Keywords

• Geçiş olasılığı, en zayıf bağlı elektron potansiyel model teori, lityum atomu

The Calculation of Transition Probabilities between Individual Lines of Some Highly Excited Levels on Lithium Atom

Abstract

In this study, the transition probabilities have been calculated between individual lines of some highly excited levels in lithium atom using the weakest bound electron potential model theory. In the determination of parameters needed for calculation of transition probabilities, ionization energies taken from experimental energy data in the literature and Numerical Coulomb Approximation (NCA) have been employed for expectation values of radii belong to levels. The results of transition probabilities obtained from this study have observed good agreement with accepted values.

Keywords

• Transition probability, weakest bound electron potential model theory, lithium atom

References

1. Fulton, T., Johnson, W.R. Numerical test of the equality of the ‘‘length’’ and ‘‘velocity’’ forms of oscillator strengths for Li in the Dirac-Fock approximation Phys. Rev. A 34, 1686 (1986).
2. Liaw, S.S. Energy levels and transition amplitudes for alkali-metal atoms in the Brueckner approximation Phys. Rev. A 48, 3555-3560 (1993).
3. Yan, Z. C., Drake, G.W.F. Theoretical lithium 2 2S→2 2P and 2 2P→3 2D oscillator strengths Phys. Rev. A 52, R4316-4319 (1995).
4. Weiss, A.W. The calculation of atomic oscillator strengths the lithium atom revisited Can. J. Chem. 70, 456-463 (1992).
5. Brandus, On the calculation of transition probabilities and lifetimes for lithium atom L. Rev. Roum. Phys. Tome 28, 595-600 (1983).
6. Schweizer, W., Fabinder, P., Gonza, R. Model potentials for alkali-metal atoms and Li- like ions At.Data Nucl.Data Tabl. 72, 33–55 (1999). 7. Barnett, R.N.,
7. Johnson, E. M., Lester, W. A. Quantum Monte Carlo determination of the
8. lithium 2 2S→2 2P oscillator strength: higher precision Phys. Rev. A 51, 2049-2052 (1995). 8. Bunge,

9. C.F. Accurate calculations for the even-parity core-excited 2P states of neutral
10. Li Phys. Rev. A 19, 936-942 (1979).
11. Zheng, N. W. A new outline of atomic theory jiang su education press nanjing PR China: (1988).
12. Zheng, N. W., Wang, T., Yang, R. Transition probability of Cu I, Ag I and Au I from weakest bound electron potential model theory J. Chem. Phys. 113, 15 6169-6173 (2000).
13. Fan, J, Zheng, N W Oscillator strengths and transition probabilities for Mg-like ions Chem. Phys. Lett. 400, 273-278 (2004).
14. Cowan, R. D. The theory of atomic structure and spectra university of California press: (1981).
15. Zheng, N. W., Wang. T., Ma, D. X., Zhou, T., Fan, J. Weakest bound electron potential model theory Int. J. Quant. Chem. 98, 281-290 (2004).
16. Wen, G. W., Wang, L. Y., Wang, R. D. Calculation of matrix elements in the model potential theory of atomic structure Chin. Sci. Bull. 36, 547-550 (1991).
17. Zheng N. W., Wang, T., Yang, R.Y. I, Zhou, T., Ma, D. X., Wu, Y. G., Xu, H. T. Transition probabilities for Be I, Be Ii, Mg I, and Mg II At.Data Nucl.Data Tabl. 79, 109-141 (2001).
18. NIST Atomic Spectroscopic Database URL:http://physics.nist.gov “Physical Reference Data” (2006).
19. Lindgard, A., Nielsen, S. E. Numerical approach to transition probabilities in the coulomb approximation: Be N I and Mg II Rydberg series J. Phys. B 8, 1183-1199 (1975).