Abstract
Purely resonant Bragg reflections 006, 5\( \bar 5 \)0, and 666 in a rubidium dihydrophosphate (RbH2PO4) crystal at the K edge of rubidium have been experimentally and theoretically investigated. These reflections remain forbidden when the resonant dipole-dipole (E1E1) contribution to the resonant atomic factor is taken into account; they may be due to the dipole-quadrupole (E1E2) transitions as well as to the anisotropy atomic factor, which is caused by thermal atomic displacements (thermally induced contribution) and/or local jumps of hydrogen atoms. A numerical simulation showed that, at room temperature (experimental conditions), the thermally induced contribution to the “forbidden” reflections is dominant.
Similar content being viewed by others
References
J. L. Hodeau, V. Favre-Nicolin, S. Bos, et al., Chem. Rev. 101, 1834 (2001).
S. W. Lovesey, E. Balcar, K. S. Knight, and J. Fernandez-Rodrigues, Phys. Rep. 411, 233 (2005).
V. E. Dmitrienko and E. N. Ovchinnikova, Kristallografiya 48(6), S1 (2003).
V. Dmitrienko, K. Ishida, A. Kirfel, and E. N. Ovchinnikova, Acta Crystallogr. A 61, 481 (2005).
P. M. Platzman and N. Tzoar, Phys. Rev. B 2, 3556 (1970).
F. de Bergevin and M. Brunel, Acta Crystallogr. A 37, 314 (1981).
M. Blume, J. Appl. Phys. 57, 3615 (1985).
R. Blink, J. Phys. Chem. Solids 13, 204 (1960).
R. J. Nelmes, J. Phys. C: Solid State Phys. 21, L881 (1988).
R. J. Nelmes, W. F. Kuhs, C. J. Howard, et al., J. Phys. C: Solid State Phys. 18, L711 (1985).
R. J. Nelmes, G. M. Meyer, and J. E. Tibballs, J. Phys. C: Solid State Phys. 15, 59 (1982).
N. S. Kennedy and R. J. Nelmes, J. Phys. C: Solid State Phys. 13, 4841 (1980).
V. E. Dmitrienko, E. N. Ovchinnikova, and K. Ishida, Pis’ma Zh. Eksp. Teor. Fiz. 69, 885 (1999) [JETP Lett. (Engl. Transl.), 69, 938 (1999)].
V. E. Dmitrienko and E. N. Ovchinnikova, Acta Crystallogr. A 56, 340 (2000).
J. P. Hannon, G. T. Trammell, M. Blume, and D. Gibbs, Phys. Rev. Lett. 61, 1245 (1988).
P. Carra and T. Thole, Rev. Mod. Phys. 66, 1509 (1994).
M. Blume, Resonant Anomalous X-Ray Scattering, Ed. by G. Materlik et al. (Elsevier, Amsterdam, 1994), p. 495.
Yu. I. Sirotin and M. P. Shaskol’skaya, Fundamentals of Crystal Physics (Nauka, Moscow, 1975; Mir, Moscow, 1982).
International Tables for Crystallography, Ed. by T. Hahn, 8th ed. (Kluwer, Dordrecht, 1996).
V. E. Dmitrienko, Acta Crystallogr. A 39, 29 (1983).
V. E. Dmitrienko, Acta Crystallogr. A 40, 89 (1984).
D. H. Templeton and L. K. Templeton, Acta Crystallogr. A 41, 133 (1985).
D. H. Templeton and L. K. Templeton, Acta Crystallogr. A 42, 478 (1986).
K. D. Finkelstein, Q. Shen, and S. Shastri, Phys. Rev. Lett. 69, 1612 (1992).
D. H. Templeton and L. K. Templeton, Phys. Rev. B 40, 14 850 (1994).
J. Kokubun, M. Kanazava, K. Ishida, and V. E. Dmitrienko, Phys. Rev. B 64, 073 203 (2001).
A. Kirfel, J. Grybos, and V. E. Dmitrienko, Phys. Rev. B 66, 165 202 (2002).
S. P. Collins, D. Laundy, V. E. Dmitrienko, et al., Phys. Rev. B 68, 064 110 (2003).
C. Detlefs, Physica B 345, 45 (2004).
E. Kh. Mukhamedzhanov, M. M. Borisov, A. N. Morkovin, et al., Pis’ma Zh. Eksp. Teor. Fiz. 86, 896 (2007).
G. E. Bacon and R. S. Pease, Proc. R. Soc. London, Ser. A 220, 397 (1953).
S. W. Peterson, H. A. Levy, and S. H. Simonson, J. Chem. Phys. 21, 2084 (1953).
A. R. Al-Karaghouli, B. Abdul-Wahab, E. Ajaj, and A. Sequeira, Acta Crystallogr. B 34, 1040 (1978).
H. Sugimoto and S. Ikeda, J. Phys.: Condens. Matter 8, 603 (1996).
G. J. Tibbals, R. J. McIntyre, and J. E. Nelmes, J. Phys. C: Solid State Phys. 15, 37 (1982).
S. Koval, J. Kohan, R. L. Migoni, and E. Tosatti, Phys. Rev. B 71, 184 102 (2005).
V. E. Dmitrienko and E. N. Ovchinnikova, Acta Crystallogr. A 57, 642 (2001).
S. Matteo, Y. Joly, A. Bombardi, et al., Phys. Rev. Lett. 91, 257 401 (2003).
J. Kokubun, A. Watanabe, M. Uehara, et al., Phys. Rev. B 78, 115 112 (2008).
E. N. Ovchinnikova, V. E. Dmitrienko, K. Ishida, et al., Nucl. Instrum. Methods Phys. Res. A 543, 122 (2005).
A. P. Oreshko, V. E. Dmitrienko, I. Joli, et al., Izv. Ross. Akad. Nauk, Ser. Fiz. 68(4), 576 (2004).
Y. Joly, Phys. Rev. B 63, 125 120 (2001).
V. E. Dmitrienko, G. Beutier, S. P. Collins, and E. N. Ovchinnikova, in Proc. Conf. RSNE-2009, p. 441.
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © E. Kh. Mukhamedzhanov, M.V. Kovalchuk, M.M. Borisov, E.N. Ovchinnikova, E.V. Troshkov, V.E. Dmitrienko, 2010, published in Kristallografiya, 2010, Vol. 55, No. 2, pp. 187–195.
Rights and permissions
About this article
Cite this article
Mukhamedzhanov, E.K., Kovalchuk, M.V., Borisov, M.M. et al. Resonant diffraction of synchrotron radiation in rubidium dihydrophosphate crystals. Crystallogr. Rep. 55, 174–181 (2010). https://doi.org/10.1134/S1063774510020021
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063774510020021