Attenuation of UV-C Solar Radiation as a Function of Altitude (0 ≤ z ≤ 100 km): Rayleigh Diffusion and Photo Dissociation of O<sub>2</sub> Influence
- 1 Department: UAEN, Universidad Autónoma de Zacatecas, Zacatecas, Mexico
- 2 Department: UAEN, Universidad Autónoma de Zacatecas, Zacatecas, Mexico
- 3 Department: UAEN, Universidad Autónoma de Zacatecas, Zacatecas, Mexico
- 4 Department: UAEN, Universidad Autónoma de Zacatecas, Zacatecas, Mexico
- 5 Department: UAEN, Universidad Autónoma de Zacatecas, Zacatecas, Mexico
- 6 Department: UAEN, Universidad Autónoma de Zacatecas, Zacatecas, Mexico
- 7 Department: UAEN, Universidad Autónoma de Zacatecas, Zacatecas, Mexico
- 8 Department: UAEN, Universidad Autónoma de Zacatecas, Zacatecas, Mexico
Abstract
In this paper, we present an analysis of attenuation for UV-C radiation ( ) as a function of the altitude z ( ) by calculating the interaction ratio between the UV-C radiation and the molecular species susceptible of interact with UV-C radiation. The Rayleigh scattering spectral cross sections were calculated, the UV-C spectral cross sections of the species susceptible of interact with UV-C radiation and the UV extraterrestrial ( ETR ) solar spectrum were standardized with wavelength steps of 1 nm, and The International Standard Atmosphere model (ISO 1972) was adapted to calculate the molecular density. These data were utilized to calculate the photodissociation and Rayleigh scattering ratios as a function of the altitude and to determine to what measure the photodissociation and the Rayleigh diffusion were determinants of the attenuation of UV-C radiation. It became clear that the photo dissociation of O 2 is the primordial mechanism of attenuation for the UV-C radiation, but the Rayleigh diffusion appears like a mechanism that encreases the photon flux, raising the performance of the O 2 photodissociation. The attenuation capacities of N 2 O, CO 2 and water vapor (H 2 O) over the UV-C radiation are all similar, although smaller (less than 0.6%), and this is due to their low concentration. The O 3 , has the theoretical greater attenuation capacity, but it is found in mid-range altitudes ( ), where the residual UV-C photons has almost vanished by O 2 photo dissociation or Rayleigh diffusion, so the real effect over the UV-C attenuation is minimum.
- ISO Standard Atmosphere (1972) Standard Atmosphere, International Organization for Standardization, International Standard ISO 2533.
- Keller-Rudek, H., Moortgat, G.K., Sander R., Sorensen R. (2017) Atlas of Gaseous Molecules of Atmospheric Interest, The MPI-Mainz UV/VIS Spectral, On Line: http://www.uv-vis-spectral-atlas-mainz.org/ (Accessed on 02 06 2017).
- Gueymard, C.A. (2004) The Sun’s Total and Spectral Irradiance for Solar Energy Applications and Solar Radiation Models. Solar Energy, 76, 423-453.
- Johnson, C.W. (2017) The Solar Constant of the Planets and The Earth/MatriX Temperature Scale, Earth/MatiX, SCIENCE IN ANCIENT ARTWORK AND SCIENCE TODAY, On line: http://em01.powweb.com/sciencetoday/solar_constants_%20planets.html (Accessed on 03 04 2017).
- Penndorf, R. (1957) Tables of the Refractive Index for Standard Air and the Rayleigh Scattering Coefficient for the Spectral Region between 0.2 and 20.0 m and Their Application to Atmospheric Optics. Journal of the Optical Society of America, 47, 176-182. https://doi.org/10.1364/JOSA.47.000176
- McCartney, E.J. (1976) Optics of the Atmosphere, Scattering by Molecules and Particles, Chap. 4. 1st Edition, Wiley, New York, 176-215.
- Peck, E.D. and Reeder, K. (1972) Dispersion of Air. Journal of the Optical Society of America, 62, 952. https://doi.org/10.1364/JOSA.62.000958
- Bates, D.R. (1984) Rayleigh Scattering by Air. Planetary and Space Science, 32, 785-790.
- Bodhaine, B.A., Wood, N.B., Dutton, E.G. and Slusser, J.R. (1999) On Rayleigh Optical Depth Calculations. Journal of Atmospheric and Oceanic Technology, 16, 1854-1871. https://doi.org/10.1175/1520-0426(1999)016 2.0.CO;2
- Bucholtz, A. (1995) Rayleigh-Scattering Calculations for the Terrestrial Atmosphere. Applied Optics, 34, 2765-2773. https://doi.org/10.1364/AO.34.002765
- Brion, C.E., Tan, K.H., van der Wiel, M.J. and van der Leeuw, P.E. (1979) Dipole Oscillator-Strengths for the Photoabsorption, Photoionization and Fragmentation of Molecular Oxygen. Journal of Electron Spectroscopy and Related Phenomena, 17, 101-119.
- Ackerman, M. (1971) UV-Solar Radiation Related to Mesospheric Processes. In: Fiocco, G., Ed., Mesospheric Models and Related Experiments, D. Reidel Publishing Company, Dordrecht, 149-159. https://doi.org/10.1007/978-94-010-3114-1_11
- Bogumil, K., Orphal, J., Homann, T., Voigt, S., Spietz, P., Fleischmann, O.C., Vogel, A., Hartmann, M., Bovensmann, H., Frerick, J. and Burrows, J.P. (2003) Measurements of Molecular Absorption Spectra with the SCIAMACHY Pre-Flight Model: Instrument Characterization and Reference Data for Atmospheric Remote Sensing in the 230-2380 nm Region. Journal of Photochemistry and Photobiology A: Chemistry, 157, 167-184.