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Air Mass Coefficient (AM)

1900
Scientist measuring solar panel performance related to Air Mass Coefficient in a laboratory.

(generated image for illustration only)

The Air Mass (AM) coefficient quantifies the direct optical path length of sunlight through Earth’s atmosphere. It is the ratio of the path length at a given zenith angle \(\theta\) to the path length when the sun is directly overhead (at the zenith). For angles up to about 60°, it can be approximated by \(AM \approx \sec(\theta)\). AM0 refers to the spectrum outside the atmosphere.

The Air Mass coefficient is a crucial parameter in solar energy and atmospheric science. The standard value for testing terrestrial solar cells is AM1.5, which corresponds to a solar zenith angle of 48.19°. This value was chosen as it represents the annual average solar radiation received in the temperate latitudes of Europe and North America. The ‘1.5’ signifies that the path length is 1.5 times the path length when the sun is directly overhead (AM1). The AM0 spectrum, with an integrated power of the solar constant (~1361 W/m²), is used for designing and testing solar cells for spacecraft. As the AM number increases (i.e., as the sun approaches the horizon), the path length through the atmosphere increases. This leads to greater absorption and scattering, which not only reduces the total irradiance but also shifts the spectrum towards the red, as blue light is scattered more effectively (Rayleigh scattering). More complex models for AM account for the curvature of the Earth and atmospheric refraction, becoming more accurate at large zenith angles.

UNESCO Nomenclature: 2506
– Geophysics

Type

Physical Model

Disruption

Incremental

Usage

Widespread Use

Precursors

  • Bouguer’s law (Beer-Lambert law) describing the attenuation of light through a medium
  • development of trigonometry for calculating angles and path lengths
  • understanding of atmospheric composition and its absorptive properties
  • invention of the spectroscope for analyzing the solar spectrum

Applications

  • performance testing and rating of solar panels (e.g., am1.5 standard)
  • atmospheric modeling and radiative transfer calculations
  • predicting solar energy availability at different times of day and year
  • astronomical observations to correct for atmospheric extinction
  • materials science for testing the durability of materials under sun exposure

Patents:

NA

Potential Innovations Ideas

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Related to: air mass, AM1.5, solar energy, photovoltaics, atmosphere, zenith angle, solar irradiance, atmospheric extinction, radiative transfer, solar spectrum.

Historical Context

Air Mass Coefficient (AM)

1650
1800
1852
1900
1912
1940
1940
1950
1800
1838
1872
1910
1940
1940
1946

(if date is unknown or not relevant, e.g. "fluid mechanics", a rounded estimation of its notable emergence is provided)

Related Invention, Innovation & Technical Principles

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