Transmittance of Water Vapor—14 to 20 Microns*

Frederic R. Stauffer; Thomas E. Walsh

doi:10.1364/JOSA.56.000401

Journal of the Optical Society of America
Vol. 56,
Issue 3,
pp. 401-405
(1966)
•https://doi.org/10.1364/JOSA.56.000401

Transmittance of Water Vapor—14 to 20 Microns

Frederic R. Stauffer and Thomas E. Walsh

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Frederic R. Stauffer and Thomas E. Walsh, "Transmittance of Water Vapor—14 to 20 Microns*," J. Opt. Soc. Am. 56, 401-405 (1966)

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Abstract

Experimental transmittance data are given for mixtures of water vapor and nitrogen for the 14–20 μ region of the pure rotation band of water vapor. These data yield a set of transmittance functions for 55-cm⁻¹ intervals in agreement with a theoretical curve of Benedict. Average transmittance is plotted as a function of the parameter U = WP*, in which W is the vapor optical path in precipitable centimeters and P* an effective pressure. This effective pressure is the sum of the total pressure and the water vapor partial pressure multiplied by a variable self-broadening factor. The set of transmittance functions in turn yields a generalized absorption coefficient for the region.

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Spectrum	Water vapor density (mg/liter)	Optical path length W (precipitable cm of water)	Partial pressure of water (P_w) (atm)×10⁻³	Total pressure (P_t) (atm)×10⁻¹
W6 –0	0.216	0.0042	0.286	0.00286
–2	0.216	0.0042	0.286	0.288
–6	0.211	0.0041	0.293	0.800
–20	0.190	0.0037	0.264	2.63
–60	0.210	0.0041	0.299	7.87
W12 –0	0.487	0.0095	0.678	0.00678
–2	0.487	0.0095	0.678	0.268
–6	0.509	0.0100	0.708	0.795
–20	0.467	0.00915	0.650	2.61
–60	0.520	0.0102	0.723	8.05
W25 –0	1.03	0.020	1.44	0.0144
–2	1.03	0.020	1.44	0.264
–6	1.32	0.026	1.84	0.781
–20	1.50	0.029	2.08	2.63
–60	1.55	0.030	2.15	7.87
W –0	1.43	0.028	1.99	0.0199
–2	1.43	0.028	1.99	0.288
–6	1.70	0.033	2.36	0.787
–20	1.95	0.038	2.71	2.63
–60	1.73	0.034	2.46	7.89
W100–0 cold	3.53	0.069	4.94	0.0499
–2 hot	3.53	0.069	4.94	0.288
–6 cold	4.35	0.085	6.10	0.790
–20 hot	4.36	0.085	6.08	2.63
–60 hot	4.82	0.0945	6.68	7.87
W200–0	5.86	0.115	8.13	0.0813
–2	5.86	0.115	8.13	0.277
–6	7.45	0.146	10.4	0.789
–20	7.60	0.149	10.6	2.63
–60	8.29	0.1625	11.5	7.877

Spectrum	A 495–550 cm⁻¹	B 550–605 cm⁻¹	C 605–660 cm⁻¹	D 660–715 cm⁻¹
W200–0	0.7004	0.7681	0.769	0.8640
–2	0.6466	0.7256	0.7150	0.7900
–6	0.5727	0.6643	0.6585	0.7607
–20	0.4598	0.5598	0.5710	0.6768
–60	0.3195	0.4409	0.4697	0.5745
W100–0	0.8253	0.8488	0.8297	0.8884
–2	0.8279	0.8529	0.8050	0.8341
–6	0.7622	0.8090	0.7652	0.8056
–20	0.6291	0.7157	0.7327	0.7659
–60	0.5258	0.6309	0.6478	0.6780
W50 –0	0.9448	0.9164	0.9181	0.9571
–2	0.8766	0.8934	0.8848	0.9192
–6	0.8326	0.8551	0.8596	0.8962
–20	0.7755	0.8256	0.7535	0.8200
–60	0.6461	0.7415	0.7503	0.7163
W25 –0	0.9720	0.9732	0.9454	0.9429
–2	0.9243	0.9543	0.9312	0.9295
–6	0.8663	0.8942	0.8953	0.9012
–20	0.7656	0.8320	0.8505	0.8652
–60	0.6961	0.7757	0.8000	0.7479
W12 –0	…	…	…	…
–2	0.9455	0.9788	0.9861	0.9939
–6	0.8997	0.9151	0.9421	0.9648
–20	0.8374	0.9130	0.8692	0.8799
–60	0.7879	0.8732	0.7373	0.7294
W6 –0	…	…	…	…
–2	0.9669	0.9849	…	…
–6	0.9464	0.9786	0.9674	0.9716
–20	0.9125	0.9622	0.9478	0.9330
–60	0.7930	0.8370	0.8190	0.732

REGION Spectrum	A		B		C		D
REGION Spectrum	U	logU	U	logU	U	logU	U	logU
200–0	7.00×10⁻³	$\bar{3}$ .846	6.78×10⁻³	$\bar{3}$ .830	6.70×10⁻³	$\bar{3}$ .826	6.23×10⁻³	$\bar{3}$ .795
2	9.50×10⁻³	$\bar{3}$ .978	9.15×10⁻³	$\bar{3}$ .962	9.20×10⁻³	$\bar{3}$ .964	8.84×10⁻³	$\bar{3}$ .947
6	2.24×10⁻²	$\bar{2}$ .350	2.16×10⁻²	$\bar{2}$ .335	2.17×10⁻²	$\bar{2}$ .337	2.09×10⁻²	$\bar{2}$ .320
20	5.14×10⁻²	$\bar{2}$ .712	5.06×10⁻²	$\bar{2}$ .704	5.17×10⁻²	$\bar{2}$ .713	4.97×10⁻²	$\bar{2}$ .696
60	1.44×10⁻¹	$\bar{1}$ .157	1.42×10⁻¹	$\bar{1}$ .153	1.42×10⁻¹	$\bar{1}$ .153	1.41×10⁻¹	$\bar{1}$ .150
100–0	2.36×10⁻³	$\bar{3}$ .373	2.32×10⁻³	$\bar{3}$ .365	2.35×10⁻³	$\bar{3}$ .370	2.25×10⁻³	$\bar{3}$ .353
2	4.02×10⁻³	$\bar{3}$ .605	3.98×10⁻³	$\bar{3}$ .600	4.05×10⁻³	$\bar{3}$ .608	3.91×10⁻³	$\bar{3}$ .592
6	1.00×10⁻²	$\bar{2}$ .000	9.83×10⁻³	$\bar{3}$ .992	1.00×10⁻²	$\bar{2}$ .000	9.82×10⁻³	$\bar{3}$ .992
20	2.61×10⁻²	$\bar{2}$ .417	2.59×10⁻²	$\bar{2}$ .413	2.59×10⁻²	$\bar{2}$ .413	2.58×10⁻²	$\bar{2}$ .412
60	7.85×10⁻²	$\bar{2}$ .895	7.82×10⁻²	$\bar{2}$ .894	7.82×10⁻²	$\bar{2}$ .894	7.82×10⁻²	$\bar{2}$ .894
50–0	3.50×10⁻⁴	$\bar{4}$ .545	3.58×10⁻⁴	$\bar{4}$ .555	3.58×10⁻⁴	$\bar{4}$ .555	3.47×10⁻⁴	$\bar{4}$ .541
2	1.12×10⁻³	$\bar{3}$ .050	1.12×10⁻³	$\bar{3}$ .050	1.12 ×10⁻³	$\bar{3}$ .050	1.11×10⁻³	$\bar{3}$ .045
6	3.09×10⁻³	$\bar{3}$ .490	3.08×10⁻³	$\bar{3}$ .489	3.08 ×10⁻³	$\bar{3}$ .489	3.06×10⁻³	$\bar{3}$ .486
20	1.06×10⁻²	$\bar{2}$ .0253	1.06×10⁻²	$\bar{2}$ .0253	1.06×10⁻²	$\bar{2}$ .0253	1.05×10⁻²	$\bar{2}$ .0212
60	2.78×10⁻²	$\bar{2}$ .444	2.78×10⁻²	$\bar{2}$ .444	2.78×10⁻²	$\bar{2}$ .444	2.78×10⁻²	$\bar{2}$ .444
25–0	1.79×10⁻⁴	$\bar{4}$ .253	1.78×10⁻⁴	$\bar{4}$ .250	1.82×10⁻⁴	$\bar{4}$ .260	1.82×10⁻⁴	$\bar{4}$ .260
2	7.08×10⁻⁴	$\bar{4}$ .850	6.87×10⁻⁴	$\bar{4}$ .837	6.89×10⁻⁴	$\bar{4}$ .838	6.89×10⁻⁴	$\bar{4}$ .838
6	2.29×10⁻³	$\bar{3}$ .360	2.28×10⁻³	$\bar{3}$ .359	2.28×10⁻³	$\bar{3}$ .359	2.28×10⁻³	$\bar{3}$ .359
20	8.11×10⁻³	$\bar{3}$ .909	8.10×10⁻³	$\bar{3}$ .908	8.10×10⁻³	$\bar{3}$ .908	8.10×10⁻³	$\bar{3}$ .908
60	2.44×10⁻²	$\bar{2}$ .388	2.43×10⁻²	$\bar{2}$ .387	2.43×10⁻²	$\bar{2}$ .387	2.43×10⁻²	$\bar{2}$ .387
12–0	…	…	…	…	…	…	…	…
2	2.90×10⁻⁴	$\bar{4}$ .462	2.88×10⁻⁴	$\bar{4}$ .460	2.88×10⁻⁴	$\bar{4}$ .460	2.88×10⁻⁴	$\bar{4}$ .460
6	8.33×10⁻⁴	$\bar{4}$ .921	8.32×10⁻⁴	$\bar{4}$ .920	8.32×10⁻⁴	$\bar{4}$ .920	8.31×10⁻⁴	$\bar{4}$ .920
20	2.42×10⁻³	$\bar{3}$ .385	2.42×10⁻³	$\bar{3}$ .385	2.42×10⁻³	$\bar{3}$ .385	2.42×10⁻³	$\bar{3}$ .385
60	8.25×10⁻³	$\bar{3}$ .916	8.25×10⁻³	$\bar{3}$ .916	8.25×10⁻³	$\bar{3}$ .916	8.25×10⁻³	$\bar{3}$ .916
6–0	…	…	…	…	…	…	…	…
2	1.29×10⁻⁴	$\bar{4}$ .110	1.29×10⁻⁴	$\bar{4}$ .110	…	…	…	…
6	3.38×10⁻⁴	$\bar{4}$ .529	3.38×10⁻⁴	$\bar{4}$ .529	3.38×10⁻⁴	$\bar{4}$ .529	3.38×10⁻⁴	$\bar{4}$ .529
20	9.86×10⁻⁴	$\bar{4}$ .994	9.86×10⁻⁴	$\bar{4}$ .994	9.86×10⁻⁴	$\bar{4}$ .994	9.86×10⁻⁴	$\bar{4}$ .994
60	3.32×10⁻³	$\bar{3}$ .522	3.32×10⁻³	$\bar{3}$ .522	3.32×10⁻³	$\bar{3}$ .522	3.32×10⁻³	$\bar{3}$ .522

Spectrum	Water vapor density (mg/liter)	Optical path length W (precipitable cm of water)	Partial pressure of water (P_w) (atm)×10⁻³	Total pressure (P_t) (atm)×10⁻¹
W6 –0	0.216	0.0042	0.286	0.00286
–2	0.216	0.0042	0.286	0.288
–6	0.211	0.0041	0.293	0.800
–20	0.190	0.0037	0.264	2.63
–60	0.210	0.0041	0.299	7.87
W12 –0	0.487	0.0095	0.678	0.00678
–2	0.487	0.0095	0.678	0.268
–6	0.509	0.0100	0.708	0.795
–20	0.467	0.00915	0.650	2.61
–60	0.520	0.0102	0.723	8.05
W25 –0	1.03	0.020	1.44	0.0144
–2	1.03	0.020	1.44	0.264
–6	1.32	0.026	1.84	0.781
–20	1.50	0.029	2.08	2.63
–60	1.55	0.030	2.15	7.87
W –0	1.43	0.028	1.99	0.0199
–2	1.43	0.028	1.99	0.288
–6	1.70	0.033	2.36	0.787
–20	1.95	0.038	2.71	2.63
–60	1.73	0.034	2.46	7.89
W100–0 cold	3.53	0.069	4.94	0.0499
–2 hot	3.53	0.069	4.94	0.288
–6 cold	4.35	0.085	6.10	0.790
–20 hot	4.36	0.085	6.08	2.63
–60 hot	4.82	0.0945	6.68	7.87
W200–0	5.86	0.115	8.13	0.0813
–2	5.86	0.115	8.13	0.277
–6	7.45	0.146	10.4	0.789
–20	7.60	0.149	10.6	2.63
–60	8.29	0.1625	11.5	7.877

Spectrum	A 495–550 cm⁻¹	B 550–605 cm⁻¹	C 605–660 cm⁻¹	D 660–715 cm⁻¹
W200–0	0.7004	0.7681	0.769	0.8640
–2	0.6466	0.7256	0.7150	0.7900
–6	0.5727	0.6643	0.6585	0.7607
–20	0.4598	0.5598	0.5710	0.6768
–60	0.3195	0.4409	0.4697	0.5745
W100–0	0.8253	0.8488	0.8297	0.8884
–2	0.8279	0.8529	0.8050	0.8341
–6	0.7622	0.8090	0.7652	0.8056
–20	0.6291	0.7157	0.7327	0.7659
–60	0.5258	0.6309	0.6478	0.6780
W50 –0	0.9448	0.9164	0.9181	0.9571
–2	0.8766	0.8934	0.8848	0.9192
–6	0.8326	0.8551	0.8596	0.8962
–20	0.7755	0.8256	0.7535	0.8200
–60	0.6461	0.7415	0.7503	0.7163
W25 –0	0.9720	0.9732	0.9454	0.9429
–2	0.9243	0.9543	0.9312	0.9295
–6	0.8663	0.8942	0.8953	0.9012
–20	0.7656	0.8320	0.8505	0.8652
–60	0.6961	0.7757	0.8000	0.7479
W12 –0	…	…	…	…
–2	0.9455	0.9788	0.9861	0.9939
–6	0.8997	0.9151	0.9421	0.9648
–20	0.8374	0.9130	0.8692	0.8799
–60	0.7879	0.8732	0.7373	0.7294
W6 –0	…	…	…	…
–2	0.9669	0.9849	…	…
–6	0.9464	0.9786	0.9674	0.9716
–20	0.9125	0.9622	0.9478	0.9330
–60	0.7930	0.8370	0.8190	0.732

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