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Revista mexicana de física

Print version ISSN 0035-001X

Rev. mex. fis. vol.58 n.1 México Feb. 2012




Algorithm to compute the electric field gradient tensor in ionic crystals


J.J. Hernández–Gómez, V. Marquina and R.W. Gómez


Facultad de Ciencias, Universidad Nacional Autónoma de México Circuito Exterior, Ciudad Universitaria, D.F., México, 04510, México.


Recibido el 19 de septiembre de 2011.
Aceptado el 25 de noviembre de 2011.



A simple algorithm and a computational program to numerically compute the electric field gradient and the concomitant quadrupolar nuclear splitting is developed for an arbitrary ionic crystal. The calculations are performed using a point charge model. The program provides three different ways for the data input: by Bravais lattices, by lattice parameters, or by introducing any spatial structure. The program calculates the components of the electric field gradient, the asymmetry parameter and the quadrupolar splitting for a given number of nearest neighbors with respect to the nuclear charge as origin. In addition, the program allows the use of different Sternheimer antishielding factors.

Keywords: Electric field gradient; quadrupolar splitting; Mossbauer spectroscopy; algorithm and numerical computation; asymmetry parameter; crystallographic lattices.


PACS: 61.18.Fs; 76.60.Gv; 76.80.Ay





This work was partially supported by DGAPA–UNAM IN115612 grant.



The program is available for its free usage under request, if and only if the appropriate acknowledgement and credit is given to the authors.





1. Blatt–Weisskopf, Theoretical Nuclear Physics, 7th print, (Wiley, New York, 1963).         [ Links ]

2. B.D. Dunlop, Mossbauer Effect Data Index, Appendix I: An Introduction to Electric Quadrupole Interactions in Mossbauer Spectroscopy, (Plenum Press, I–T–I, 1970).         [ Links ]

3. J.D. Jackson, Classical Electrodynamics, 3rd ed. (Wiley, 1998).         [ Links ]

4. A. Messiah, Quantum Mechanics Two Volumes Bound as One. (Dover Publications Inc., New York, 1962), pp. 573.         [ Links ]

5. H. Fraunfelder, The Mossbauer Effect, (W.A. Benjamin Inc., New York, 1962).         [ Links ]

6. N.N. Greenwood, T.C. Gibb., Mossbauer Spectroscopy, (Chapman and Hall Ltd., London, 1971).         [ Links ]

7. R.M. Sternheimer, Phys. Rev. 80 (1950) 102.         [ Links ]

8. R.M. Sternheimer, Phys. Rev. 84 (1951) 244.         [ Links ]

9. R.M. Sternheimer, Phys. Rev. 132 (1963) 1637.         [ Links ]

10. R.M. Sternheimer, Phys. Rev. 164 (1967) 10.         [ Links ]

11. R.M. Sternheimer, Phys. Rev. A. 6 (1972) 1702.         [ Links ]

12. G. Martínez–Pinedo, P. Schwerdtfeger, E. Caurier, K. Langanke, W. Nazarewicz, y T. Sohnel, Phys. Rev. Lett. 87 (2001) 062701.         [ Links ]

13. R.W. Gómez, V. Marquina, J.L. Pérez–Mazariego, R. Escamilla, R. Escudero, M. Quintana, J.J. Hernández–Gómez, R. Ridaura y M.L. Marquina, J. Supercond. Nov. Magn. 23 (2010) 551–557. DOI: 10.1007/s10948–010–0764–2.         [ Links ]

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