Optical constants of monoclinic anisotropic crystals: gypsum

James R. Aronson; Alfred G. Emslie; Ellen V. Miseo; Emmett M. Smith; Peter F. Strong

doi:10.1364/AO.22.004093

Applied Optics
Vol. 22,
Issue 24,
pp. 4093-4098
(1983)
•https://doi.org/10.1364/AO.22.004093

Optical constants of monoclinic anisotropic crystals: gypsum

James R. Aronson, Alfred G. Emslie, Ellen V. Miseo, Emmett M. Smith, and Peter F. Strong

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James R. Aronson, Alfred G. Emslie, Ellen V. Miseo, Emmett M. Smith, and Peter F. Strong, "Optical constants of monoclinic anisotropic crystals: gypsum," Appl. Opt. 22, 4093-4098 (1983)

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Abstract

The principal complex refractive indices for gypsum have been derived in the infrared region of the spectrum. These values were obtained by dispersion analysis of the reflection spectra for E ‖ b and the a-c (monoclinic) plane. Two sets of complex indices are obtained for the latter plane, taking account of axis wander. The oscillator parameters are presented here, together with formulas for calculating the optical constants at any desired infrared frequency. In addition the usefulness of such optical constants for modeling the infrared properties of powders is demonstrated for gypsum and spodumene.

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k	ν_k (cm⁻¹)	σ(ν_k) (cm⁻¹)	γ_k	σ(γ_k)	S_k	σ(S_k)
1	3525.8	1.45	0.01768	0.00083	0.05719	0.00201
2	1684.5	2.41	0.00955	0.00429	0.00716	0.00255
3	1124.3	1.21	0.00985	0.00106	0.13638	0.07038
4	1118.6	1.32	0.00945	0.00173	0.13921	0.07121
5	601.3	0.80	0.05583	0.00258	0.24471	0.00825
6	544.9	4.25	0.02050	0.02515	0.00798	0.00746
		ɛ_∞ = 2.223		σ(ɛ_∞) = 0.022

k	ν_k (cm⁻¹)	σ(ν_k) (cm⁻¹)	γ_k	σ(γ_k)	S_k	σ(S_k)	θ_k (deg)	σ(θ_k) (deg)
1	3406.3	0.99	0.01064	0.00054	0.04313	0.00167	85.04	1.20
2	1619.8	0.55	0.00736	0.00075	0.02079	0.00155	77.59	2.40
3	1138.2	0.40	0.01295	0.00029	0.26264	0.00248	4.93	0.46
4	1110.2	0.21	0.00797	0.00014	0.28429	0.00192	99.87	0.56
5	667.4	0.28	0.01027	0.00039	0.12195	0.00282	−7.90	0.46
6	598.3	0.37	0.02559	0.00086	0.16739	0.00436	87.30	0.75
7	465.2	2.25	0.15923	0.01043	0.92815	0.04756	−19.05	0.81
		$ɛ_{xx}^{\infty} = 2.2819$		$\begin{array}{l} σ (ɛ_{xx}^{\infty}) = 0.0130 \\ ɛ_{xz}^{\infty} = 0.0086 \end{array}$	$\begin{array}{l} ɛ_{zz}^{\infty} = 2.4545 \\ σ (ɛ_{zz}^{\infty}) = 0.0073 \end{array}$	$σ (ɛ_{zz}^{\infty}) = 0.0429$

k	ν_k (cm⁻¹)	σ(ν_k) (cm⁻¹)	γ_k	σ(γ_k)	S_k	σ(S_k)
1	3525.8	1.45	0.01768	0.00083	0.05719	0.00201
2	1684.5	2.41	0.00955	0.00429	0.00716	0.00255
3	1124.3	1.21	0.00985	0.00106	0.13638	0.07038
4	1118.6	1.32	0.00945	0.00173	0.13921	0.07121
5	601.3	0.80	0.05583	0.00258	0.24471	0.00825
6	544.9	4.25	0.02050	0.02515	0.00798	0.00746
		ɛ_∞ = 2.223		σ(ɛ_∞) = 0.022

k	ν_k (cm⁻¹)	σ(ν_k) (cm⁻¹)	γ_k	σ(γ_k)	S_k	σ(S_k)	θ_k (deg)	σ(θ_k) (deg)
1	3406.3	0.99	0.01064	0.00054	0.04313	0.00167	85.04	1.20
2	1619.8	0.55	0.00736	0.00075	0.02079	0.00155	77.59	2.40
3	1138.2	0.40	0.01295	0.00029	0.26264	0.00248	4.93	0.46
4	1110.2	0.21	0.00797	0.00014	0.28429	0.00192	99.87	0.56
5	667.4	0.28	0.01027	0.00039	0.12195	0.00282	−7.90	0.46
6	598.3	0.37	0.02559	0.00086	0.16739	0.00436	87.30	0.75
7	465.2	2.25	0.15923	0.01043	0.92815	0.04756	−19.05	0.81
		$ɛ_{xx}^{\infty} = 2.2819$		$\begin{array}{l} σ (ɛ_{xx}^{\infty}) = 0.0130 \\ ɛ_{xz}^{\infty} = 0.0086 \end{array}$	$\begin{array}{l} ɛ_{zz}^{\infty} = 2.4545 \\ σ (ɛ_{zz}^{\infty}) = 0.0073 \end{array}$	$σ (ɛ_{zz}^{\infty}) = 0.0429$

Abstract

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Equations (51)

Applied Optics