Mathematical forms of Planck’s thermal radiation law and photobiological biomass adaptations
Solar photons with energies from 1.2 to 3 eV fuel Earth’s biosphere via excited-state photochemical reactions. The solar radiance spectrum is successfully modeled by Planck’s thermal radiation law, applied to a blackbody heated to ~5,800 K. Mathematically, Planck’s thermal radiation law c...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Academia.edu Journals
2025-01-01
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| Series: | Academia Biology |
| Online Access: | https://www.academia.edu/127386940/Mathematical_forms_of_Planck_s_thermal_radiation_law_and_photobiological_biomass_adaptations |
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| Summary: | Solar photons with energies from 1.2 to 3 eV fuel Earth’s biosphere via excited-state photochemical reactions. The solar radiance spectrum is successfully modeled by Planck’s thermal radiation law, applied to a blackbody heated to ~5,800 K. Mathematically, Planck’s thermal radiation law can be described by four distinct, bell-shaped radiance probability density functions. This study attempts to answer the question: Which one of the four distinct radiance spectral functions, representing one and the same thermal radiation law, is synergistic with the established photobiological adaptations on Earth? A well-defined quantitative criterion is proposed to select one of the four functions. The data suggest that the photon radiance per wavelength increment provides a deeper biophysical understanding of the broad range of photobiological biomass adaptations on Earth. |
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| ISSN: | 2837-4010 |