Spectral Emissivity of Solids in the Infrared at Low Temperatures

Dwight Weber

doi:10.1364/JOSA.49.000815

Journal of the Optical Society of America
Vol. 49,
Issue 8,
pp. 815-820
(1959)
•https://doi.org/10.1364/JOSA.49.000815

Spectral Emissivity of Solids in the Infrared at Low Temperatures

Dwight Weber

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Dwight Weber, "Spectral Emissivity of Solids in the Infrared at Low Temperatures," J. Opt. Soc. Am. 49, 815-820 (1959)

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Abstract

Two methods are developed for measuring low-temperature spectral emissivities in the infrared region. Neither of these has apparently been employed previously. One of them, which is only an approximate method, was followed by measurements of three common alloys. The values of emissivity obtained agree reasonably well with those calculated from the reflectivity data of others for similar materials.

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Δλ, μ	Temperature
Δλ, μ	−195.80	−130.0	−78.5	−40.0×10⁴	0×10⁴	40.0×10⁴	80.0×10⁴
3–3.490	4.2101×10⁻²³	3.3917×10⁻¹²	8.6067×10⁻⁹	0.0033573	0.046064	0.39057	1.9056
4–4.452	2.0669×10⁻¹⁸	7.0218×10⁻¹⁰	3.4595×10⁻⁷	0.060031	0.49884	2.4320	8.2480
5–5.360	1.2772×10⁻¹⁵	1.4421×10⁻⁸	2.3428×10⁻⁶	0.24564	1.4011	5.1217	13.9503
6–6.299	1.1542×10⁻¹³	1.0525×10⁻⁷	7.7778×10⁻⁶	0.56706	2.4172	7.2985	17.0702
7–7.255	2.8015×10⁻¹²	3.9049×10⁻⁷	1.6307×10⁻⁵	0.92723	3.2377	8.2718	17.2486
8–8.224	2.7599×10⁻¹¹	1.0131×10⁻⁶	2.6484×10⁻⁵	1.2153	3.6348	8.3488	15.8360
9–9.199	1.6433×10⁻¹⁰	1.9968×10⁻⁶	3.5237×10⁻⁵	1.3812	3.7397	7.7718	14.0497
10–10.186	6.7968×10⁻¹⁰	3.0917×10⁻⁶	4.4303×10⁻⁸	1.4462	3.5493	7.0087	11.7964
11–11.174	2.0471×10⁻⁹	4.6360×10⁻⁶	4.9614× 10⁻⁵	1.4683	3.3438	6.2683	10.0533
12–12.168	5.1819×10⁻⁹	5.9849×10⁻⁶	5.4217×10⁻⁵	1.4783	3.2029	5.5937	8.6666
13–13.166	1.1383×10⁻⁸	7.4736×10⁻⁶	5.7367×10⁻⁵	1.5000	2.9110	5.0132	7.5406
14–14.167	2.1836×10⁻⁸	9.2655×10⁻⁶	6.2525×10⁻⁵	1.4465	2.7315	4.5252	6.6937
15–15.169	3.6338×10⁻⁸	1.0834×10⁻⁵	6.1062×10⁻⁵	1.3587	2.6018	4.0531	5.8142

Δλ, μ	−195.80°		−78.5°		−40.0°		0°
Δλ, μ	$\frac{\partial W_{b}}{\partial T}$	ΔT	$\frac{\partial W_{b}}{\partial T}$	ΔT	$\frac{\partial W_{b}}{\partial T}$	ΔT	$\frac{\partial W_{b}}{\partial T}$	ΔT
6–6.299	4.094×10⁻⁷	0.0282	4.804	0.162	24.14	0.235	75.82	0.319
7–7.255	1.145×10⁻⁵	0.0245	8.733	0.187	34.42	0.269	87.79	0.369
8–8.224	8.168×10⁻⁵	0.0338	12.59	0.210	39.94	0.304	85.82	0.424
9–9.199	4.377×10⁻⁴	0.0375	14.85	0.237	40.45	0.341	79.73	0.469
10–10.186	1.632×10⁻³	0.0417	16.37	0.271	38.03	0.380	66.58	0.533
11–11.174	4.046×10⁻³	0.0506	17.04	0.291	34.69	0.423	49.84	0.671
12–12.168	1.010×10⁻²	0.0513	17.08	0.317	31.97	0.462	47.42	0.675
13–13.166	2.068×10⁻²	0.0550	16.77	0.342	30.33	0.495	42.65	0.683
14–14.167	3.737×10⁻²	0.0584	17.07	0.366	27.16	0.533	37.17	0.735
15–15.169	5.878×10⁻²	0.0618	15.43	0.396	23.94	0.568	34.22	0.760

Δλ, μ	λ, μ
7–7.255	7.128
8–8.224	8.112
9–9.199	9.100
10–10.186	10.094
11–11.174	11.087
12–12.168	12.084
13–13.166	13.083
14–14.167	14.084
15–15.169	15.085

Δλ, μ	Temperature
Δλ, μ	−195.80	−130.0	−78.5	−40.0×10⁴	0×10⁴	40.0×10⁴	80.0×10⁴
3–3.490	4.2101×10⁻²³	3.3917×10⁻¹²	8.6067×10⁻⁹	0.0033573	0.046064	0.39057	1.9056
4–4.452	2.0669×10⁻¹⁸	7.0218×10⁻¹⁰	3.4595×10⁻⁷	0.060031	0.49884	2.4320	8.2480
5–5.360	1.2772×10⁻¹⁵	1.4421×10⁻⁸	2.3428×10⁻⁶	0.24564	1.4011	5.1217	13.9503
6–6.299	1.1542×10⁻¹³	1.0525×10⁻⁷	7.7778×10⁻⁶	0.56706	2.4172	7.2985	17.0702
7–7.255	2.8015×10⁻¹²	3.9049×10⁻⁷	1.6307×10⁻⁵	0.92723	3.2377	8.2718	17.2486
8–8.224	2.7599×10⁻¹¹	1.0131×10⁻⁶	2.6484×10⁻⁵	1.2153	3.6348	8.3488	15.8360
9–9.199	1.6433×10⁻¹⁰	1.9968×10⁻⁶	3.5237×10⁻⁵	1.3812	3.7397	7.7718	14.0497
10–10.186	6.7968×10⁻¹⁰	3.0917×10⁻⁶	4.4303×10⁻⁸	1.4462	3.5493	7.0087	11.7964
11–11.174	2.0471×10⁻⁹	4.6360×10⁻⁶	4.9614× 10⁻⁵	1.4683	3.3438	6.2683	10.0533
12–12.168	5.1819×10⁻⁹	5.9849×10⁻⁶	5.4217×10⁻⁵	1.4783	3.2029	5.5937	8.6666
13–13.166	1.1383×10⁻⁸	7.4736×10⁻⁶	5.7367×10⁻⁵	1.5000	2.9110	5.0132	7.5406
14–14.167	2.1836×10⁻⁸	9.2655×10⁻⁶	6.2525×10⁻⁵	1.4465	2.7315	4.5252	6.6937
15–15.169	3.6338×10⁻⁸	1.0834×10⁻⁵	6.1062×10⁻⁵	1.3587	2.6018	4.0531	5.8142

Δλ, μ	−195.80°		−78.5°		−40.0°		0°
Δλ, μ	$\frac{\partial W_{b}}{\partial T}$	ΔT	$\frac{\partial W_{b}}{\partial T}$	ΔT	$\frac{\partial W_{b}}{\partial T}$	ΔT	$\frac{\partial W_{b}}{\partial T}$	ΔT
6–6.299	4.094×10⁻⁷	0.0282	4.804	0.162	24.14	0.235	75.82	0.319
7–7.255	1.145×10⁻⁵	0.0245	8.733	0.187	34.42	0.269	87.79	0.369
8–8.224	8.168×10⁻⁵	0.0338	12.59	0.210	39.94	0.304	85.82	0.424
9–9.199	4.377×10⁻⁴	0.0375	14.85	0.237	40.45	0.341	79.73	0.469
10–10.186	1.632×10⁻³	0.0417	16.37	0.271	38.03	0.380	66.58	0.533
11–11.174	4.046×10⁻³	0.0506	17.04	0.291	34.69	0.423	49.84	0.671
12–12.168	1.010×10⁻²	0.0513	17.08	0.317	31.97	0.462	47.42	0.675
13–13.166	2.068×10⁻²	0.0550	16.77	0.342	30.33	0.495	42.65	0.683
14–14.167	3.737×10⁻²	0.0584	17.07	0.366	27.16	0.533	37.17	0.735
15–15.169	5.878×10⁻²	0.0618	15.43	0.396	23.94	0.568	34.22	0.760

Abstract

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Figures (5)

Tables (3)

Equations (39)

Journal of the Optical Society of America