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Birefringence of CaCO3 and Electronic Polarizabilities of the Constituent Ions

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TLDR
In this paper, the birefringence of CaCO 3 is discussed taking account of dipole interaction among the Ca ++ and CO 3 -ions, and the electronic rolarizabilities of the CO 3- -ions are obtained as α 1 =3.18 ×10 -24 cm 3 and α 2 =4.20 × 10 - 24 cm 3 in the direction parallel and perpendicular to the optical axes respectively for n e =1.486 and n 0 = 1.658.
Abstract
The birefringence of CaCO 3 is discussed taking account of dipole interaction among the Ca ++ and CO 3 - -ions. The electronic rolarizabilities of the CO 3 - -ions are obtained as α 1 =3.18 ×10 -24 cm 3 and α 2 =4.20 ×10 -24 cm 3 in the direction parallel and perpendicular to the optical axes respectively for n e =1.486 and n 0 =1.658. The bond polarizabilities of C-O can be obtained as α // =1.74 ×10 -24 cm 3 and α ⊥ = 1.06 ×10 -24 cm 3 in the directions parallel and perpendicular to the direction of the line connecting C and O respectively with anisotropic ratio α // /α ⊥ =1.64.

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Citations
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Empirical electronic polarizabilities in oxides, hydroxides, oxyfluorides, and oxychlorides

TL;DR: In this article, an extensive set of infinite-wavelength refractive indices derived from a single-oscillator Sellmeier equation was used to obtain mean total polarizabilities for 340 oxides, 3 hydroxides, 46 oxyhydroxide, 10 oxyfluorides, 8 oxychlorides, 80 hydrates, and 51 fluorides.
Journal ArticleDOI

Prospects for Fluoride Carbonate Nonlinear Optical Crystals in the UV and Deep-UV Regions

TL;DR: In this paper, the potential of fluoride carbonate nonlinear optical (NLO) crystals in the ultraviolet (UV) and deep-UV regions is investigated with first-principles simulations and materials design considerations.
Journal ArticleDOI

New Fluoride Carbonates: Centrosymmetric KPb2(CO3)2F and Noncentrosymmetric K2.70Pb5.15(CO3)5F3

TL;DR: K2.70Pb5.15(CO3)5F3 is noncentrosymmetric, and crystallizes in the achiral and nonpolar space group P6̅m2 (crystal class -6m2), and Powder second-harmonic generation (SHG) measurements revealed a SHG efficiency of approximately 40 × α-SiO2.
Journal ArticleDOI

Ba4M(CO3)(2)(BO3)(2) (M=Ba, Sr): two borate-carbonates synthesized by open high temperature solution method

TL;DR: In this article, two borate-carbnate structures were determined by single crystal X-ray diffraction and they both crystallize in same space group, Pnma.
References
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Journal ArticleDOI

Electronic Polarizabilities of Ions in Crystals

TL;DR: In this paper, a set of electronic polarizabilities has been obtained from a least-squares fit of experimental refraction data using simple additivity and a Lorentz factor of $\frac{4\ensuremath{\pi}}{3}$.
Journal ArticleDOI

The Refractive Indices of Calcite and Aragonite

TL;DR: In this paper, it was shown that double refraction can be explained by the atomic arrangements in the crystals of calcium carbonate, calcite and aragonite, and that the influence of the neighbouring doublets on an atom depends on the orientation of the electric field with reference to the crystal axes.
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