WSEAS Transactions on Computers


Print ISSN: 1109-2750
E-ISSN: 2224-2872

Volume 16, 2017

Notice: As of 2014 and for the forthcoming years, the publication frequency/periodicity of WSEAS Journals is adapted to the 'continuously updated' model. What this means is that instead of being separated into issues, new papers will be added on a continuous basis, allowing a more regular flow and shorter publication times. The papers will appear in reverse order, therefore the most recent one will be on top.



Effective Methodology for Calculation of Magnetic Properties of Atomic Systems in Ordered State and Around Phase Transition Temperature

AUTHORS: Rafał Michalski, Jakub Zygadło, Marek Karaś

Download as PDF

ABSTRACT: We present main algorithms of new software application developed to calculate magnetic, spectral and calorimetric properties of materials under Crystal Electric Field (CEF) and Mean Field Approximation paradigm. The novelty of our approach lies in the automatic construction of Hamiltonian matrices and computation of true 3-dimensional properties of the material in wide range of temperatures also around the phase transition temperature. User defined calculation rules as real or complex matrices and two calculation spaces (|JJz> or |LSLzSz>) to define interactions, utilize single diagonalization procedure in all cases. Our software predicts thermal dependent properties of materials in isostructural series of compounds, such as: magnetic moment in ordered state, paramagnetic susceptibility, specific heat, entropy and absorption spectra. Calculated properties are closely related to local symmetry of crystal surrounding of paramagnetic ion. Obtained angular momentum coordinates of paramagnetic ions makes it possible to calculate anisotropy coefficients as a result of dynamic calculations using Mean Field Approximation scheme.

KEYWORDS: Crystal Electric Field, Spin-Orbit coupling, Hamiltonian diagonalization, Mean Field Approximation, CEF, MFA, Atomic Matters

REFERENCES:

[1] R. Michalski, J. Zygadło, Proc. 18th Int. Conf. on Physics, Mathematics and Computer Science – Dubai(2016) http://waset.org/publications/10004653/pdf

[2] Software website: www.atomicmatters.eu

[3] H. A. Bethe, Ann. Phys. Lpz. 3 (1929) 133.

[4] J. Elliot, K. W. H. Stevens, Proc. Roy. Soc. A 215 (1953) 437.

[5] J. Elliot, K. W. H. Stevens, Proc. Roy. Soc. A 218 (1953) 553.

[6] M. T. Hutchings, Solid State Phys. 16, New York (1964) 227.

[7] A. Abragam, B. Bleaney, Electron Paramagnetic Resonance of Transition Ions, Clarendon Press, Oxford (1970).

[8] B. G. Wybourne, Symmetry Principles and Atomic Spectroscopy, J. Wiley and Sons, New York (1970).

[9] R. J. Radwański, Acta Phys. Pol. B 31 (2000) 3079.

[10] P. O. Ribeiro et al. J. Magn. Magn. Mater. 379 (2015) 112.

[11] B. Szpunart, P.-A. Lindgard, J. Phys. F: Metal Phys. 9, No. 3. (1979).

[12] J. J. M. Franse, R. J. Radwanski; Magnetic properties of binary rare-earth… in Handbook of Magnetic Materials Vol 7. Edited K. H. J. Bushow (1993) 307.

[13] C. Min, S. Lee, S.-G. Kim, J. Korean Soc. Math. Educ. B: Pure Appl. Math. 18, No. 3 (2011) 185.

[14] D. Kincaid, W. Cheney, Numerical analysis, American Mathematical Society, Providence (2002).

[15] H. Park, V. Hari, BIT Num. Math. 33 (1993) 158.

[16] V. K. Pecharsky, K. A. Gschneidner, A. O. Pecharsky, A. M. Tishin, Phys. Rev. B 64, (2001) 144406.

[17] P. J. von Ranke et al., Journal Of Applied Physics 104 (2008) 093906.

[18] L. A. Gil, J.C.P. Campoy, E.J.R. Plaza, M.V. de Souza, Journal of Magnetism and Magnetic Materials 409 (2016) 45.

[19] M. Patra, S. Majumdar and S. Giri, Y. Xiao, T. Chatterji, Magnetic and magnetoresistive properties of cubic Laves phase HoAl2 single crystal (2011) arXiv:1107.1975

[20] R. M. Sternheimer, Phys. Rev. 146 (1966) 140.

[21] S. Edvardsson, M. Klintenberg, Journal of Alloys and Compounds 275-277 (1998) 230.

WSEAS Transactions on Computers, ISSN / E-ISSN: 1109-2750 / 2224-2872, Volume 16, 2017, Art. #8, pp. 69-75


Copyright © 2017 Author(s) retain the copyright of this article. This article is published under the terms of the Creative Commons Attribution License 4.0

Bulletin Board

Currently:

The editorial board is accepting papers.


WSEAS Main Site