Tropospheric UV flux calculations and photolysis rates for use with zonally and diurnally averaged models

Gregory L. Matloff; Richard W. Stewart

doi:10.1364/AO.18.003421

Applied Optics
Vol. 18,
Issue 20,
pp. 3421-3425
(1979)
•https://doi.org/10.1364/AO.18.003421

Tropospheric UV flux calculations and photolysis rates for use with zonally and diurnally averaged models

Gregory L. Matloff and Richard W. Stewart

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Gregory L. Matloff and Richard W. Stewart, "Tropospheric UV flux calculations and photolysis rates for use with zonally and diurnally averaged models," Appl. Opt. 18, 3421-3425 (1979)

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Abstract

A computationally fast and efficient method for calculating solar UV fluxes in the troposphere is developed. Calculated fluxes compare favorably with more rigorous multiple scattering results, and qualitatively correct behavior of the direct and diffuse flux components is maintained. In view of the relatively large uncertainties in other aspects of tropospheric photochemical models, the use of approximate UV flux calculations appears warranted. The technique is applied to the calculation of photolysis rates for twelve significant photolytic reactions of nine species.

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	Solar zenith angle

Wavelength (nm)	0°	30°	50°	70°
305	0.70	0.045	0.016	7.9E-4
310	0.172	0.125	0.060	8.5E-3
315	0.296	0.228	0.129	0.032
320	0.414	0.331	0.205	0.069
325	0.515	0.420	0.273	0.108
330	0.602	0.495	0.330	0.142

Month	Lat. (deg)	J1 (a)	J1 (b)	J(2)	J3 (a)	J3 (b)	J4	J5	J6	J7	J8 (a)	J8 (b)
Apr;Sept	0	2.7/E-4	1.7/E-5	2.7/E-3	1.0/E-2	2.6/E-2	2.2/E-6	9.0/E-4	2.3/E-7	8.3/E-6	1.1/E-5	2.7/E-5
Apr;Sept	S20	2.7	1.4	2.5	0.96	2.5	2.1	8.4	2.1	7.9	1.0	2.7
Apr;Sept	S40	2.4	0.74	2.3	0.78	2.0	1.6	7.6	1.3	6.3	0.8	2.1
Apr;Sept	S60	2.3	0.24	1.9	0.56	1.4	1.1	6.2	0.6	4.1	0.5	1.3
Apr	N20	2.5	1.2	2.4	1.0	2.7	1.9	7.8	1.9	8.5	1.1	2.9
Sept	N20	2.7	1.5	2.4	0.99	2.5	2.0	7.8	2.1	8.1	1.1	2.8
Apr;Sept	N60	1.5	0.08	1.4	0.31	1.3	0.7	4.5	0.4	3.8	0.5	1.1
Apr;Sept	N40	1.7	0.36	2.1	0.71	1.9	1.2	6.5	0.9	5.8	0.8	2.0
Dec	S60	3.2	1.2	3.9	1.5	3.7	2.7	12.6	2.2	11.8	1.5	4.0
Dec	S40	3.5	2.5	3.6	1.6	3.9	2.9	11.4	3.3	12.8	1.7	4.4
Dec	S20	3.3	1.7	3.0	1.3	3.2	2.4	9.5	2.5	10.5	1.4	3.6
Dec	0	2.5	1.3	2.4	0.97	2.5	1.9	8.0	1.9	7.9	1.0	2.7
Dec	N20	2.1	0.61	1.8	0.59	1.4	1.2	5.7	1.0	4.4	0.5	1.5
Dec	N40	1.1	0.01	0.8	0.24	0.6	0.4	2.6	0.2	1.9	0.2	0.5
June	N60	2.0	0.05	3.0	1.2	3.1	1.8	9.5	1.2	10.1	1.3	3.5
June	N40	2.6	1.3	3.5	1.5	3.6	2.5	11.3	2.2	11.9	1.6	4.1
June	N20	2.2	0.95	3.1	1.4	3.5	2.2	10.0	1.8	11.3	1.5	3.9
June	0	1.9	0.68	2.3	0.87	2.2	1.6	7.4	1.3	7.1	0.9	2.4
June	S20	1.6	0.19	1.8	0.59	1.4	1.1	5.7	0.6	4.4	0.5	1.5
June	S40	1.4	0.04	1.0	0.26	0.7	0.5	2.9	0.2	2.1	0.2	0.6

	Solar zenith angle

Wavelength (nm)	0°	30°	50°	70°
305	0.70	0.045	0.016	7.9E-4
310	0.172	0.125	0.060	8.5E-3
315	0.296	0.228	0.129	0.032
320	0.414	0.331	0.205	0.069
325	0.515	0.420	0.273	0.108
330	0.602	0.495	0.330	0.142

Month	Lat. (deg)	J1 (a)	J1 (b)	J(2)	J3 (a)	J3 (b)	J4	J5	J6	J7	J8 (a)	J8 (b)
Apr;Sept	0	2.7/E-4	1.7/E-5	2.7/E-3	1.0/E-2	2.6/E-2	2.2/E-6	9.0/E-4	2.3/E-7	8.3/E-6	1.1/E-5	2.7/E-5
Apr;Sept	S20	2.7	1.4	2.5	0.96	2.5	2.1	8.4	2.1	7.9	1.0	2.7
Apr;Sept	S40	2.4	0.74	2.3	0.78	2.0	1.6	7.6	1.3	6.3	0.8	2.1
Apr;Sept	S60	2.3	0.24	1.9	0.56	1.4	1.1	6.2	0.6	4.1	0.5	1.3
Apr	N20	2.5	1.2	2.4	1.0	2.7	1.9	7.8	1.9	8.5	1.1	2.9
Sept	N20	2.7	1.5	2.4	0.99	2.5	2.0	7.8	2.1	8.1	1.1	2.8
Apr;Sept	N60	1.5	0.08	1.4	0.31	1.3	0.7	4.5	0.4	3.8	0.5	1.1
Apr;Sept	N40	1.7	0.36	2.1	0.71	1.9	1.2	6.5	0.9	5.8	0.8	2.0
Dec	S60	3.2	1.2	3.9	1.5	3.7	2.7	12.6	2.2	11.8	1.5	4.0
Dec	S40	3.5	2.5	3.6	1.6	3.9	2.9	11.4	3.3	12.8	1.7	4.4
Dec	S20	3.3	1.7	3.0	1.3	3.2	2.4	9.5	2.5	10.5	1.4	3.6
Dec	0	2.5	1.3	2.4	0.97	2.5	1.9	8.0	1.9	7.9	1.0	2.7
Dec	N20	2.1	0.61	1.8	0.59	1.4	1.2	5.7	1.0	4.4	0.5	1.5
Dec	N40	1.1	0.01	0.8	0.24	0.6	0.4	2.6	0.2	1.9	0.2	0.5
June	N60	2.0	0.05	3.0	1.2	3.1	1.8	9.5	1.2	10.1	1.3	3.5
June	N40	2.6	1.3	3.5	1.5	3.6	2.5	11.3	2.2	11.9	1.6	4.1
June	N20	2.2	0.95	3.1	1.4	3.5	2.2	10.0	1.8	11.3	1.5	3.9
June	0	1.9	0.68	2.3	0.87	2.2	1.6	7.4	1.3	7.1	0.9	2.4
June	S20	1.6	0.19	1.8	0.59	1.4	1.1	5.7	0.6	4.4	0.5	1.5
June	S40	1.4	0.04	1.0	0.26	0.7	0.5	2.9	0.2	2.1	0.2	0.6

Abstract

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Applied Optics