Sur le comportement différent des cristaux et des verres dans l’absorption de l’infrarouge lointain (40–1500μ) à la température de l’hélium liquide

Armand Hadni; Jacques Claudel; Xavier Gerbaux; Guy Morlot; Jean-Marie Munier

doi:10.1364/AO.4.000487

Applied Optics
Vol. 4,
Issue 4,
pp. 487-494
(1965)
•https://doi.org/10.1364/AO.4.000487

Sur le comportement différent des cristaux et des verres dans l’absorption de l’infrarouge lointain (40–1500μ) à la température de l’hélium liquide

Armand Hadni, Jacques Claudel, Xavier Gerbaux, Guy Morlot, and Jean-Marie Munier

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Armand Hadni, Jacques Claudel, Xavier Gerbaux, Guy Morlot, and Jean-Marie Munier, "Sur le comportement différent des cristaux et des verres dans l’absorption de l’infrarouge lointain (40–1500μ) à la température de l’hélium liquide," Appl. Opt. 4, 487-494 (1965)

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Abstract

Absorption spectra at liquid helium temperature in the far infrared are given for thick plates of CsI, CsBr, TlBr, TlCl, KI, NaCl, InSb, KBr, CuCl, Al₂O₃, SiO₂, MgO, and LaCl₃. For a thickness of about 3 mm all these crystals, completely opaque at room temperature, become quasitransparent at very low temperature. This supertransparency of crystals at low temperature gives several far infrared filters with remarkable cutoffs and a lot of available materials to the spectroscopist in a part of the spectrum where only quartz and polyethene were usable up to now. This is also evidence that the main part of the absorption at room temperature comes from the lattice phonons. It decreases with their number when the crystal is cooled (2 phonons difference process). The small absorption which remains in a few cases—KBr, —NaCl, KI—could arise from 2 phonons addition process nearly independent of temperature and much less efficient to give absorption. In the case of glasses the absorption coefficient is higher by 2 or 3 orders of magnitude and keeps constant when the glass is cooled. For quartz glass, the index of refraction also seemed invariant. An explanation is proposed in terms of one single phonon process, independent of temperature and allowed by the disorder characteristic of glassy states.

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	ν₂

T(°K)	5	10	20	30	40	50	60	70	80	300
300	40	20	10	6.25	4.76	3.70	3	2.5	2.18	0.314
80	10	5	2.28	1.39	0.95	0.68	0.5	0.39	0.31	4.6×10⁻³
20	2.28	0.95	0.31	0.13	5.95×10⁻²	2.8×10⁻²	1.33×10⁻²	6.5×10⁻³	3.2×10⁻³	4.6×10⁻¹⁰
4	0.198	2.8×10⁻²	17.6×10⁻⁴	2.06×10⁻⁹	5.53×10⁻⁷	1.53×10⁻⁸	425×10⁻¹⁰	1.14×10⁻¹¹	3.12×10⁻¹³	10⁻⁴⁶
2	2.84×10⁻²	7.7×10⁻⁴	5.88×10⁻⁷	4.6×10⁻¹⁰	1.38×10⁻¹³	10⁻¹⁵	10⁻¹⁹	10⁻²²	10⁻⁵⁰	10⁻⁹³

T(°K)	Δ $\dot{ν}$

	−5	−10	−20	−30	−40	−50
300	37*	17*	7*	3.25*	1.76*	0.7*
80	9.51*	4.51*	1.79*	0.9*	0.46*	0.19*
20	2.28	0.95	0.31	0.13	5.9×10⁻²	2×10⁻²*
4	0.198	2.8×10⁻²	7.6×10⁻⁴	2.06×10⁻⁵	5.53×10⁻⁷	1.53×10⁻⁸
2	2.84×10⁻²	7.7×10⁻⁴	5.88×10⁻⁷	4.6×10⁻¹⁰	1.38×10⁻¹³	≃10⁻¹⁵

T (°K)	ν₁

	5	10	20	30	40	50	60	70	80	300
300	40 cm⁻¹	20	10	6.25	4.76	3.70	3	2.3*	2*	0,14*
80	10	5	2.28	1.39	0.95	0.68	0.5	0.39	0.31	3.9×10⁻³*
20	2.28	0.95	0.31	0.13	5.95×10⁻²	2.8×10⁻²	1.33×10⁻²	6.5×10⁻³	3.2×10⁻³	4.6×10⁻¹⁰
4	0.198	2.8×10⁻²	7.6×10⁻⁴	2.06×10⁻⁵	5.53×10⁻⁷	1.53×10⁻⁸	4.25×10⁻¹⁰	1.14×10⁻¹¹	3.12×10⁻¹³	10⁻⁴⁶
2	2.84×10⁻²	7.7×10⁻⁴	5.88×10⁻⁷	4.6×10⁻¹⁰	1.38×10⁻¹³	10⁻¹⁵	10⁻¹⁹	10⁻²²	10⁻⁵⁰	10⁻⁹³

	ν₂

T(°K)	5	10	20	30	40	50	60	70	80	300
300	40	20	10	6.25	4.76	3.70	3	2.5	2.18	0.314
80	10	5	2.28	1.39	0.95	0.68	0.5	0.39	0.31	4.6×10⁻³
20	2.28	0.95	0.31	0.13	5.95×10⁻²	2.8×10⁻²	1.33×10⁻²	6.5×10⁻³	3.2×10⁻³	4.6×10⁻¹⁰
4	0.198	2.8×10⁻²	17.6×10⁻⁴	2.06×10⁻⁹	5.53×10⁻⁷	1.53×10⁻⁸	425×10⁻¹⁰	1.14×10⁻¹¹	3.12×10⁻¹³	10⁻⁴⁶
2	2.84×10⁻²	7.7×10⁻⁴	5.88×10⁻⁷	4.6×10⁻¹⁰	1.38×10⁻¹³	10⁻¹⁵	10⁻¹⁹	10⁻²²	10⁻⁵⁰	10⁻⁹³

T(°K)	Δ $\dot{ν}$

	−5	−10	−20	−30	−40	−50
300	37*	17*	7*	3.25*	1.76*	0.7*
80	9.51*	4.51*	1.79*	0.9*	0.46*	0.19*
20	2.28	0.95	0.31	0.13	5.9×10⁻²	2×10⁻²*
4	0.198	2.8×10⁻²	7.6×10⁻⁴	2.06×10⁻⁵	5.53×10⁻⁷	1.53×10⁻⁸
2	2.84×10⁻²	7.7×10⁻⁴	5.88×10⁻⁷	4.6×10⁻¹⁰	1.38×10⁻¹³	≃10⁻¹⁵

Abstract

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Tables (5)

Equations (2)

Applied Optics