CRYSTAL OPTICAL PARAMETERS OF UNIAXIALLY COMPRESSED LiNaSO4CRYSTALS
Abstract
In the work, a LiNaSO4 crystal was synthesized and spectral study of its birefringence Δni was carried out. It was found that the cation substitution of potassium with sodium(LiKSO4 → LiNaSO4) in the LiBSO4 systemsignificantly increases the refractive index and birefringence (by more than an order of magnitude) compared to the substitutions K+ → Rb+ and K+ → (NH4)+. It is shown that the high optical anisotropy of the lithium sodium sulfate crystal can be related to the asymmetry of the second coordination environment of anions in its structure.
First-principles calculations of the electronic and optical properties of LiNaSO4 crystals were performed. From the calculated spectra of the real and imaginary parts of the dielectric function, the spectral dependence of the refractive indices and the extinction coefficients were obtained. The calculated dispersions of the refractive indices of the LiNaSO4 crystalfor the visible part of the spectrum satisfy the ratio nz > nx,y. The order of the obtained curves coincides with those determined experimentally. The theoretically obtained values of refractive indices are lower (within 8%) than the experimental ones. Such a deviation can be caused by the negative contribution of infrared absorption in the crystal, which is not taken into account in the CASTEP code. It is worth noting, however, that a very good reproduction of the dispersion changes of the refractive indices was obtained from the calculations. Here, the values of d(Δni)/dλ for nx,y(λ)and nz(λ) dependences are practically the same with the maximum deviation of 3.3·10–5 nm–1 from those determined experimentally.
The behavior of optical birefringence of LiNaSO4 crystals was studied under conditions of uniaxial pressures applied along the main crystal physical directions. The uniaxial pressure applied along mutually perpendicular directions was found to lead to changes in birefringence, different in magnitude and sign. Dispersion effect of birefringence weakens under the influence of stress σ ⊥ z and strengthens in the opposite case of σ || z.
Keywords: crystal, birefringence, uniaxial pressure, piezo-optical coefficients, refractive index.
Full Text:
PDF (Українська)References
- Freiheit H. C. The trigonal-to-cubic phase transition in LiNaSO4: An X-ray and calorimetric study / H. C. Freiheit, H. Kroll, A. Putnis // J. Kristallogr. – 1998. – Vol. 213. – P. 575.
- Shakhovoy R. Propriétés structurales et dynamiques des sulfates d’alcalins / R. Shakhovoy // Université d’Orléans. – 2015. – Vol. 4. – P. 186.
- Forland T. The Structure of the High Temperature Modification of Lithium Sulfate / T. Forland, J. Krogh-Moe // Acta Chemica Scandinavica. – 1958. – Vol. 11. – P. 224.
- Щепанський П. Рефрактивнi параметри кристалiв K1,75(NH4)0,25SO4 / П. Щепанський, В. Стадник, Р. Брезвiн, М. Рудиш // Вiсн. Львiв. ун-ту. Сер. фiз. – 2016. – Вип. 52. – С. 108–115.
- Shchepanskyi P.A. Structure and optical anisotropy of K1.75(NH4)0.25SO4 solid solution / P. A. Shchepanskyi, O. S. Kushnir, V. Yo. Stadnyk [et al.] // Ukr. J. Phys. Opt. – 2017. – Vol. 18, № 4. – P. 187–196.
- Shchepanskyi P.A. Structure and refractive properties of LiNaSO4 single crystals / P. A. Shchepanskyi, O. S. Kushnir, V. Yo. Stadnyk [et al.] // Ukr. J. Phys. Opt. – 2018. – Vol. 19, № 3. – P. 141–149.
- Polishcuk A. F. Nuclear magnetic resonance study of sulfate reorientations in LiNaSO4 / A.F. Polishcuk, T.M. Shurzhal // Electrokhimiya. – 1979. – Vol. 9. – P. 838.
- Singh K. Electrical conductivity of binary sulphates of lithium sulphate / K. Singh, V. K. Deshpande // Solid State Ionics. – 1984. – Vol. 13. – P. 157-164.
- Pina C. M. Hartman–Perdok analysis of crystal morphology and interface topology of β-LiNaSO4 / C. M. Pina, C. F. Woensdregt // J. Cryst. – 2001. – Vol. 233. – P. 355–366.
- Karppinen M. Crystal structure, atomic net charges and electric moments in pyroelectric LiNaSO4 at 296 K / M. Karppinen // Acta Cryst. – 2015. – B. 71. – P. 334–341.
- Романюк М.О. Оптика / М.О. Романюк, А.С. Крочук, І.П. Пашук. – Львів: ЛНУ імені Івана Франка, 2012. – 564 с.
- Романюк М.О. Практикум з кристалооптики і кристалофізики / М.О. Романюк. – Львів: ЛНУ імені Івана Франка, 2012. – 362 с.
- Stadnyk V.Y. Birefringence of (NH4)2SO4 crystals under the action of uniaxial pressures / V.Y. Stadnyk, M. O. Romanyuk, M. R. Tuzyak, V. Y. Kurlyak, V. M. Gaba // Crystallography Reports. – 2008. –Vol. 53. –P. 1039–1043.
- Rudysh M.Ya. Ab initio calculations of the electronic structure and specific optical features of β-LiNH4SO4 single crystals / M.Ya. Rudysh, M.G. Brik, V.Yo. Stadnyk, [et al.] // Physica B: Physics of Condensed Matter. – 2018. – Vol. 528. – P. 37–46.
- Stadnyk V.Yo. Behaviour of isotropic point in LiKSO4 / V.Yo. Stadnyk, N.A Romanyuk, V.F. Vachulovych // Acta Polonica Physica. – 1993. – Vol. 83. – P. 469–475.
- Stadnyk V. Y. Temperature and baric changes in the refractive indices of LiKSO4 crystals / V.I Stadnyk, O.S. Kushnir, R.S. Brezvin, V.M. Gaba // Optics and Spectroscopy. – 2009. – Vol. 106. – P. 614–620.
- Stadnyk V.Y. Birefringence of (NH4)2SO4 crystals under the action of uniaxial pressures / V.Y. Stadnyk, M. O. Romanyuk, M. R. Tuzyak, V. Y. Kurlyak, V. M. Gaba // Crystallography Reports. – 2008. –Vol. 53. –P. 1039–1043.
- Stadnyk V.Yo. Piezooptic properties of LiNH4SO4 crystals / V.Yo. Stadnyk, R.S. Brezvin, М.Ya. Rudish, [et al.] // Crystallography Reports. – 2015. – Vol. 60, № 3. – P. 388–392.
DOI: http://dx.doi.org/10.30970/eli.18.8
Refbacks
- There are currently no refbacks.