Abstract.
A parametric analysis of the hyperfine structure (hfs) for the even parity configurations of atomic terbium (Tb I) is presented in this work. We introduce the complete set of 4fN-core states in our high-performance computing (HPC) calculations. For calculations of the huge hyperfine structure matrix, requiring approximately 5000 hours when run on a single CPU, we propose the methods utilizing a personal computer cluster or, alternatively a cluster of Microsoft Azure virtual machines (VM). These methods give a factor 12 performance boost, enabling the calculations to complete in an acceptable time.
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M. Elantkowska, J. Ruczkowski, J. Dembczyński, Eur. Phys. J. Plus 130, 14 (2015)
M. Elantkowska, J. Ruczkowski, J. Dembczyński, Eur. Phys. J. Plus 130, 15 (2015)
M. Elantkowska, J. Ruczkowski, J. Dembczyński, Eur. Phys. J. Plus 130, 83 (2015)
M. Elantkowska, J. Ruczkowski, J. Dembczyński, Eur. Phys. J. Plus 130, 170 (2015)
M. Elantkowska, J. Ruczkowski, J. Dembczyński, Eur. Phys. J. Plus 131, 47 (2016)
M. Elantkowska, J. Ruczkowski, J. Dembczyński, Eur. Phys. J. Plus 131, 429 (2016)
M. Elantkowska, A. Sikorski, J. Ruczkowski, J. Dembczyński, Eur. Phys. J. Plus 132, 134 (2017)
B. Furmann, D. Stefanska, A. Krzykowski, Spectrochim. Acta, Part B 111, 38 (2015)
B. Furmann, D. Stefanska, A. Krzykowski, J. Phys. B 49, 025001 (2016)
D. Stefanska, M. Elantkowska, J. Ruczkowski, B. Furmann, J. Quantum Spectrosc. Radiat. Transf. 189, 441 (2017)
D. Stefanska, M. Suski, B. Furmann, Laser Phys. Lett. 14, 045701 (2017)
K. Rajnak, B.G. Wybourne, Phys. Rev. 132, 280 (1963)
S. Feneuille, J. Phys. France 28, 497 (1967)
J. Dembczyński, G. Szawioła, M. Elantkowska, E. Stachowska, J. Ruczkowski, Phys. Scr. 54, 444 (1996)
R.D. Cowan, The Theory of Atomic Structure and Spectra (Berkeley University of California Press, Berkeley, 1981)
R.D. Cowan, Robert D. Cowan’s Atomic Structure Code, https://www.tcd.ie/Physics/people/Cormac.McGuinness/Cowan/
A. Kramida, Yu. Ralchenko, J. Reader, NIST ASD Team, NIST Atomic Spectra Database (ver. 5.3), available at http://physics.nist.gov/asd (National Institute of Standards and Technology, Gaithersburg, MD, 2017)
W.C. Martin, R. Zalubas, L. Hagan, Atomic energy levels -- The rare-earth elements, in Nat. Stand. Ref. Data Ser., NSRDS-NBS 60, Nat. Bur. Stand., U.S., 1978
W.J. Childs, Phys. Rev. A 2, 316 (1970)
W.J. Childs, L.S. Goodman, J. Opt. Soc. Am. 69, 815 (1979)
W.J. Childs, J. Opt. Soc. Am. B 9, 191 (1992)
D. Stefanska, B. Furmann, private communication
P.G.H. Sandars, J. Beck, Proc. R. Soc. A 289, 97 (1965)
W. Nowak, J. Karwowski, J. Dembczyński, J. Phys. France 45, 681 (1984)
J. Dembczyński, M. Elantkowska, B. Furmann, J. Ruczkowski, D. Stefańska, J. Phys. B: At. Mol. Opt. Phys. 43, 065001 (2010)
S. Feneuille, L. Armstrong Jr., Phys. Rev. A 8, 1173 (1973)
L. Armstrong Jr., Theory of the Hyperfine Structure of Free Atoms (Willey-Interscience, New York, 1971)
I. Lindgren, J. Morrison, Atomic Many-Body Theory (Springer-Verlag, Berlin Heidelberg New York, 1982)
V. Pfeufer, Z. Phys. D 4, 351 (1987)
I. Lindgren, A. Rosén, in Case Studies in Atomic Physics, edited by E. McDaniel, M. McDowell (Elsevier, 1975) pp. 93--196, https://doi.org/http://dx.doi.org/10.1016/B978-0-7204-0331-2.50007-X
J. Dembczyński, M. Elantkowska, K. Bekk, H. Rebel, M. Wilson, Z. Phys. D 13, 181 (1989)
M. Elantkowska, A. Bernard, J. Dembczyński, J. Ruczkowski, Z. Phys. D 27, 103 (1993)
E. Stachowska, M. Elantkowska, J. Ruczkowski, J. Dembczyński, Phys. Scr. 65, 237 (2002)
J. Ruczkowski, E. Stachowska, M. Elantkowska, G.H. Guthöhrlein, J. Dembczyński, Phys. Scr. 68, 133 (2003)
D. Stefanska, B. Furmann, J. Phys. B: At. Mol. Opt. Phys. 50, 175002 (2017)
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Elantkowska, M., Ruczkowski, J., Sikorski, A. et al. Construction of the energy matrix for complex atoms. Eur. Phys. J. Plus 132, 455 (2017). https://doi.org/10.1140/epjp/i2017-11725-0
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DOI: https://doi.org/10.1140/epjp/i2017-11725-0