The temperature dependence of the refractive indices of K2SO4 with copper impurity was investigated. It was found that introduction of the copper impurity leads to the appearance of isotropic points [intersection of the n2(T) and nx(T) curves at temperature T' ~ 612 K (Δny = 0) and nz(T) and ny(T) at temperature T″ ~ 689 K (Δnx = 0)] and also to widening of the temperature range for existence of the intermediate phase and its shift toward lower temperatures. The critical index of the phase transition order parameter was determined for the doped crystal in terms of the phenomenological approach of the first fluctuation correction to the Landau theory (β ≈ 0.17 ± 0.05). It was found that the phase transition point is shifted toward low temperatures, and this can be explained at the phenomenological level by the effect of internal stresses that arise during introduction of the impurity by analogy with the effect of uniaxial or hydrostatic pressures.
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References
K. S. Aleksandrov and B. V. Beznosikov, Structural Phase Transitions in Crystals (Potassium Sulfate Family), Nauka, Novosibirsk (1993).
E. E. Trusova, N. M. Bobkova, V. S. Gurin, and G. K. Hlushonok, J. Appl. Spectrosc., 76, 187–193 (2009).
H. Arnold, W. Kurtz, А. Richter-Zinnius, and A. J. Bethke, Acta Cryst., B 37, No. 11, 1643–1651 (1981).
М. Mijake and S. Iwai, Phys. Chem. Mater., 7, No. 2, 211–215 (1981).
S. Shiozaki, А. Sawada, and J. Ishibashi, J. Phys. Soc. Jpn., 43, No. 4, 1314–1319 (1977).
М. Miyake, Phys. Chem. Minerals, 7, No. 2, 88–90 (1981).
S. Ramalingom, С. М. Padma, and S. Radhika, Archiv. Phys. Res., 4, No. 1, 49–59 (2013).
S. Radhika, C. M. Padma, J. Rajendran, S. Ramalingom, and T. Chithambara Thanu, Der Pharma Chem., 4, No. 5, 2014–2023 (2012).
V. S. Osminin, V. G. Plekhanov, and N. I. Silkin, Zh. Prikl. Spektrosk., 21, No. 1, 88–91 (1974).
S. Radhakrishna and K. Р. Pande, Phys. Chem. Sol., 34, No. 8, 2037–2044 (1972).
R. Yu. Abdusabirov, Yu. S. Gryaznov, and M. M. Zarinov, Fiz. Tverd. Tela, 12, No. 2, 657–659 (1970).
B. V. R. Chowdari and Р. Venkateswarlu, J. Chem. Phys., 48, No. 1, 318–327 (1968).
C. Ramasastry. Y. V. G. S. Murti, and B. S. V. S. R. Acharyulu, Modern Aspects of Solid States Chemistry, Plenum Press, New York (1970).
S. Radhakrishna and K. P. Pande, Phys. Chem. Sol., 34, No. 2, 2037–2044 (1973).
V. Y. Stadnyk, R. B. Matviiv, M. Y. Rudysh, R. S. Brezvin, P. A. Shchepanskyi, and B. V. Andrievskii, J. Appl. Spectrosc., 87, No. 1, 143–149 (2020).
V. Yo. Stadnyk, R. B. Matviiv, and P. A. Shchepanskyi, Crystallogr. Rep., 65, No. 6, 961–967 (2020).
R. B. Matviiv, M. Ya. Rudysh, V. Yo. Stadnyk, P. A. Shchepanskyi, R. S. Brezvin, and O. Y. Khyshun, Current Appl. Phys., 21, 80–88 (2021).
N. M. Melankholin, Methods for Investigation of Optical Properties of Materials [in Russian], Nauka, Moscow (1970).
T. S. Narasimhamurty, Photoelastic and Electro-Optic Properties of Crystals, Plenum Press, New York (1981).
N. R. Ivanov, A. P. Levanyuk, S. A. Minyukov, J. Kroupa, and J. Fousek, J. Phys.: Condens. Matter, 2, 5777–5782 (1990)
A. P. Levanyuk, S. A. Minyukov, and M. Vallade, J. Phys.: Condens. Matter, 9, No. 25, 5313–5318 (1997).
A. P. Levanyuk, Phase Trans., 76, 253–260 (2003)
A. P. Levanyuk, S. A. Minyukov, and M. Vallade, J. Korean Phys. Soc., 32, S62–S64 (1998).
B. A. Strukov and A. P. Levanyuk, Physical Foundations of Ferroelectric Phenomena in Crystals [in Russian], Nauka, Moscow (1983).
V. Yo. Stadnyk and M. O. Romanyuk, Ferroelectrics, 317, 63—68 (2005).
V. M. Gaba, V. Y. Stadnyk, О. S. Kushnir, and О. Z. Chizh, Opt. Spectrosc., 110, No. 6, 967–972 (2011).
B. V. Andrievskii, M. Jaskolski, V. Yo. Stadnyk, M. O. Romanyuk, O. Z. Kashuba, and M. M. Romanyuk, Comput. Mat. Sci., 79, 442–447 (2013).
V. Yo. Stadnyk, O. Z. Kashuba, R. S. Brezvin, I. M. Matviishyn, and M. Y. Rudysh, Ukr. J. Phys., 58, No. 9, 853–856 (2013).
B. Andriyevsky, M. Romanyuk, and V. Stadnyk, J. Phys. Chem. Sol., 70, 1109–1112 (2009).
V. Yo. Stadnyk, M. O. Romanyuk, O. Z. Chyzh, and V. F. Vachulovych, Conden. Matter Phys., 10, No. 1 (49), 45–50 (2007).
K. S. Aleksandrov and B. V. Beznosikov, Crystal Chemical Patterns of Changes in Structures Related to the α-K2SO4 Type [in Russian], Preprint/Akad. Nauk SSSR (1985).
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Translated from Zhurnal Prikladnoi Spektroskopii, Vol. 88, No. 4, pp. 653–660, July–August, 2021.
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Stadnyk, V.Y., Shchepanskyi, P.A., Rudysh, M.Y. et al. Temperature Dependence of the Refractive Indices of Doped K2SO4 Crystals. J Appl Spectrosc 88, 831–837 (2021). https://doi.org/10.1007/s10812-021-01247-8
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DOI: https://doi.org/10.1007/s10812-021-01247-8