In Earth's atmosphere, the dominant scattering efficiency of blue light is compared to red or green wavelengths. ∗Scattering and absorption are major causes of the attenuation of sunlight radiation by the atmosphere. During broad daylight, the sky is blue due to Rayleigh scattering, while near sunset, and especially during twilight, absorption of irradiation by ozone helps maintain blue color in the evening sky. ∗At sunrise or sunset, tangentially incident solar rays illuminate clouds with orange-to-red hues .
The visible spectrum, about 380 to about 740 nanometers (nm),[1] shows the atmospheric water absorption band and the solar Fraunhofer lines. The blue sky spectrum presents across 450 – 485 nm, the wavelengths of the color blue.

Diffuse sky radiation is solar radiation reaching the Earth's surface after having been scattered from the direct solar beam by molecules or particulates in the atmosphere. Also called sky radiation, diffuse skylight, or just skylight, it is the determinative process for changing the colors of the sky. Approximately 23% of direct incident radiation of total sunlight is removed from the direct solar beam by scattering into the atmosphere; of this amount (of incident radiation) about two-thirds ultimately reaches the earth as photon diffused skylight radiation.[citation needed]

The dominant radiative scattering processes in the atmosphere are Rayleigh scattering and Mie scattering; they are elastic, meaning that a photon of light can be deviated from its path without being absorbed and without changing wavelength.

Under an overcast sky there is no direct sunlight and all light results from diffused skylight radiation.

Proceeding from analyses of the aftermath of the eruption of the Philippines volcano Mount Pinatubo (in June 1991) and other studies:[2] Diffused skylight, owing to its intrinsic structure and behavior, can illuminate under-canopy leaves, permitting more efficient total whole-plant photosynthesis than would otherwise be the case; this in stark contrast to the effect of totally clear skies with direct sunlight that casts shadows onto understory leaves and thereby limits plant photosynthesis to the top canopy layer, (see below).

## Color

Clear blue sky

The Earth's atmosphere scatters short-wavelength light more efficiently than that of longer wavelengths. Because its wavelengths are shorter, blue light is more strongly scattered than the longer-wavelength lights, red or green. Hence the result that when looking at the sky away from the direct incident rays of the sun, the human eye perceives the sky to be blue.[3] The color perceived is similar to that presented by a monochromatic blue (at wavelength 474–476 nm) mixed with white light, that is, an unsaturated blue light.[4] The explanation of blue color by Rayleigh in 1871 is a famous example of applying dimensional analysis to solving problems in physics;[5] (see top figure).

Scattering and absorption are major causes of the attenuation of sunlight radiation by the atmosphere. Scattering varies as a function of the ratio of particle diameters (of particulates in the atmosphere) to the wavelength of the incident radiation. When this ratio is less than about one-tenth, Rayleigh scattering occurs. (In this case, the scattering coefficient varies inversely with the fourth power of the wavelength. At larger ratios scattering varies in a more complex fashion, as described for spherical particles by the Mie theory.) The laws of geometric optics begin to apply at higher ratios.

Daily at any global venue experiencing sunrise or sunset, most of the solar beam of visible sunlight arrives nearly tangentially to Earth's surface. Here the trajectory of sunlight through the atmosphere is elongated such that much of the blue or green light is scattered away from the line of perceivable visible light. This phenomenon leaves the sun's rays, and the clouds they illuminate, abundantly orange-to-red in colors, which one sees when looking at a sunset or sunrise.

For the example of the sun at zenith, during broad daylight, the sky is blue due to Rayleigh scattering, which also involves the diatomic gases N
2
and O
2
. Near sunset and especially during twilight, absorption by ozone (O
3
) significantly contributes to maintaining blue color in the evening sky.

## Neutral points

There are four commonly detectable points of zero polarization of diffuse sky radiation (known as neutral points) lying along the vertical circle through the sun.

• The Arago point, named after its discoverer, is customarily located at about 20° above the antisolar point; but it lies at higher altitudes in turbid air. The latter property makes the Arago distance a useful measure of atmospheric turbidity.
• The Babinet point, discovered by Jacques Babinet in 1840, is located about 15° to 20° above the sun, hence it is difficult to observe because of solar glare.
• The Brewster point, discovered by David Brewster in 1840, is located about 15° to 20° below the sun; hence it is difficult to observe because of solar glare.
• The fourth point, located at about 20° below the antisolar point, visible only at higher altitudes in the air or in space.[6]

## Under an overcast sky

There is essentially no direct sunlight under an overcast sky, so all light is then diffuse sky radiation. The flux of light is not very wavelength-dependent because the cloud droplets are larger than the light's wavelength and scatter all colors approximately equally. The light passes through the translucent clouds in a manner similar to frosted glass. The intensity ranges (roughly) from ​16 of direct sunlight for relatively thin clouds down to ​11000 of direct sunlight under the extreme of thickest storm clouds.[citation needed]

## As a part of total radiation

One of the equations for total solar radiation is:[7]

${\displaystyle H_{t}=H_{b}R_{b}+H_{d}R_{d}+(H_{b}+H_{d})R_{r}}$

Rb is given by:

${\displaystyle R_{b}={\frac {\sin(\delta )\sin(\phi -\beta )+\cos(\delta )\cos(h)\cos(\phi -\beta )}{\sin(\delta )\sin(\phi )+\cos(\delta )\cos(h)\cos(\phi )}}}$

where δ is the solar declination, Φ is the latitude, β is an angle from the horizontal and h is the solar hour angle.

Rd is given by:

${\displaystyle R_{d}={\frac {1+\cos(\beta )}{2}}}$

and Rr by:

${\displaystyle R_{r}={\frac {\rho (1-\cos(\beta ))}{2}}}$

where ρ is the reflectivity of the surface.

## Agriculture and the eruption of Mt. Pinatubo

A Space Shuttle (Mission STS-43) photograph of the Earth over South America taken on August 8, 1991, which captures the double layer of Pinatubo aerosol clouds (dark streaks) above lower cloud tops.

The eruption of the Philippines volcano - Mount Pinatubo in June 1991 ejected roughly 10 km3 (2.4 cu mi) of magma and "17,000,000 metric tons"(17 teragrams) of sulfur dioxide SO2 into the air, introducing ten times as much total SO2 as the 1991 Kuwaiti fires,[8] mostly during the explosive Plinian/Ultra-Plinian event of June 15, 1991, creating a global stratospheric SO2 haze layer which persisted for years. This resulted in the global average temperature dropping by about 0.5 °C (0.9 °F).[9] As volcanic ash falls out of the atmosphere rapidly,[10] the negative agricultural effects of the eruption were largely immediate and localized to a relatively small area in close proximity to the eruption, as they were caused by the resulting thick ash cover that resulted.[11][12] Globally however, despite a several-month 5% drop in overall solar irradiation, and a reduction in direct sunlight by 30%,[13] there was no negative impact to global agriculture.[2][14] Surprisingly, a 3-4 year[15] increase in global Agricultural productivity and forestry growth was observed, excepting boreal forest regions.[16]

Under more-or-less direct sunlight, dark shadows that limit photosynthesis are cast onto understorey leaves. Within the thicket, very little direct sunlight can enter.

The means by which this was discovered, is that initially at the time, a mysterious drop in the rate at which carbon dioxide (CO2) was filling the atmosphere was observed, which is charted in what is known as the "Keeling Curve".[17] This led numerous scientists to assume that this reduction was due to the lowering of the Earth's temperature, and with that, a slow down in plant and soil respiration, indicating a deleterious impact to global agriculture from the volcanic haze layer.[2][14] However upon actual investigation, the reduction in the rate at which carbon dioxide filled the atmosphere did not match up with the hypothesis that plant respiration rates had declined.[18][19] Instead the advantageous anomaly was relatively firmly[20] linked to an unprecedented increase in the growth/net primary production,[21] of global plant life, resulting in the increase of the carbon sink effect of global photosynthesis.[2][14] The mechanism by which the increase in plant growth was possible, was that the 30% reduction of direct sunlight can also be expressed as an increase or "enhancement" in the amount of diffuse sunlight.[2][18][22][14]

### The diffused skylight effect

Well lit understorey areas due to overcast clouds creating diffuse/soft sunlight conditions, that permits photosynthesis on leaves under the canopy.

This diffused skylight, owing to its intrinsic nature, can illuminate under-canopy leaves permitting more efficient total whole-plant photosynthesis than would otherwise be the case.[2][14] In stark contrast to the effect of totally clear skies and the direct sunlight that results from it, which casts shadows onto understorey leaves, strictly limiting plant photosynthesis to the top canopy layer.[2][14] This increase in global agriculture from the volcanic haze layer also naturally results as a product of other aerosols that are not emitted by volcanoes, such as man-made "moderately thick smoke loading" pollution, as the same mechanism, the "aerosol direct radiative effect" is behind both.[16][23][24]

## References

1. ^ Starr, Cecie (2005). Biology: Concepts and Applications. Thomson Brooks/Cole. ISBN 978-0-534-46226-0.
2. "Large Volcanic Eruptions Help Plants Absorb More Carbon Dioxide From the Atmosphere : News". archive.org. March 16, 2010. Retrieved April 4, 2018.
3. ^ "Rayleigh scattering." Encyclopædia Britannica. 2007. Encyclopædia Britannica Online. retrieved November 16, 2007.
4. ^ Glenn S. Smith (July 2005). "Human color vision and the unsaturated blue color of the daytime sky" (PDF). American Journal of Physics. 73 (7): 590–597. Bibcode:2005AmJPh..73..590S. doi:10.1119/1.1858479.
5. ^ "Craig F. Bohren, "Atmospheric Optics", Wiley-VCH Verlag GmbH, page 56" (PDF). wiley-vch.de. Retrieved April 4, 2018.
6. ^ Horváth, G; Bernáth, B; Suhai, B; Barta, A; Wehner, R (October 2002). "First observation of the fourth neutral polarization point in the atmosphere". Journal of the Optical Society of America A. 19 (10): 2085–99. Bibcode:2002JOSAA..19.2085H. doi:10.1364/JOSAA.19.002085. PMID 12365628.
7. ^ Mukherjee, D.; Chakrabarti, S. (2004). Fundamentals of Renewable Energy Systems. New Age International. p. 22. ISBN 978-81-224-1540-7.
8. ^ John C McCain; Muhammad Sadiq; M Sadiq (1993). The Gulf War Aftermath: An Environmental Tragedy. Springer. p. 60. ISBN 978-0-792-32278-8.
9. ^ "Mt. Pinatubo's cloud shades global climate". Science News. Retrieved March 7, 2010.
10. ^ Program, Volcano Hazards. "Hawaiian Volcano Observatory". hvo.wr.usgs.gov. Retrieved April 4, 2018.
11. ^ "Mercado". pubs.usgs.gov. Retrieved April 4, 2018.
12. ^ "Mt. pinatubo (LK): Biosphere - ESS". sites.google.com. Retrieved April 4, 2018.
13. ^
14. LARGE VOLCANIC ERUPTIONS HELP PLANTS ABSORB MORE CARBON DIOXIDE FROM THE ATMOSPHERE
15. ^ Self, S. (August 15, 2006). "The effects and consequences of very large explosive volcanic eruptions". Philosophical Transactions of the Royal Society of London A: Mathematical, Physical and Engineering Sciences. 364 (1845): 2073–2097. Bibcode:2006RSPTA.364.2073S. doi:10.1098/rsta.2006.1814. PMID 16844649. Retrieved April 4, 2018 – via rsta.royalsocietypublishing.org.
16. ^ a b Evaluating aerosol direct radiative effects on global terrestrial ecosystem carbon dynamics from 2003 to 2010. Chen et al., Tellus B 2014; 66, 21808, Published by the international meteorological institute in Stockholm.
17. ^ "Cooling Following Large Volcanic Eruptions Corrected for the Effect of Diffuse Radiation on Tree Rings. Alan Robock, 2005. See Figure 2 for a record of this" (PDF). rutgers.edu. Retrieved April 4, 2018.
18. ^ a b L., Gu; D., Baldocchi (December 1, 2001). "Roles of volcanic eruptions, aerosols and clouds in global carbon cycle". AGU Fall Meeting Abstracts. 2001: B51A–0194. Bibcode:2001AGUFM.B51A0194G.
19. ^ "Response of a Deciduous Forest to the Mount Pinatubo Eruption: Enhanced Photosynthesis. Gu et al., 28 March 2003 Journal of Science Vol 299" (PDF). utoledo.edu. Retrieved April 4, 2018.
20. ^ "CO2 Science". www.co2science.org. Retrieved April 4, 2018.
21. ^ http://earthobservatory.nasa.gov/Features/GlobalGarden/ Global Garden gets greener. NASA 2003
22. ^ "Cooling Following LargeVolcanic Eruptions Corrected for the Effect of Diffuse Radiation on Tree Rings. Alan Robock, 2005. Figure 1" (PDF). rutgers.edu. Retrieved April 4, 2018.
23. ^ Impact of atmospheric aerosol light scattering and absorption on terrestrial net primary productivity, Cohan et al. GLOBAL BIOGEOCHEMICAL CYCLES 2002 VOL. 16, NO. 4, 1090, doi:10.1029/2001GB001441
24. ^ Direct observations of the effects of aerosol loading on net ecosystem CO2 exchanges over different landscapes. Niyogi et al. Geophysical Research Letters Volume 31, Issue 20, October 2004 doi:10.1029/2004GL020915