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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Academia.edu Journals
2025-01-01
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| author | Mariana Sendova Isaac Moncada-Almendarez |
| author_facet | Mariana Sendova Isaac Moncada-Almendarez |
| author_sort | Mariana Sendova |
| collection | DOAJ |
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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. |
| format | Article |
| id | doaj-art-2d8e93a60c6140fc8f4b96a6e10972b9 |
| institution | DOAJ |
| issn | 2837-4010 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Academia.edu Journals |
| record_format | Article |
| series | Academia Biology |
| spelling | doaj-art-2d8e93a60c6140fc8f4b96a6e10972b92025-08-20T03:06:31ZengAcademia.edu JournalsAcademia Biology2837-40102025-01-013110.20935/AcadBiol7513Mathematical forms of Planck’s thermal radiation law and photobiological biomass adaptationsMariana Sendova0Isaac Moncada-Almendarez1Optical Spectroscopy and Nano-Materials Laboratory, Division of Natural Sciences, New College of Florida, Sarasota, FL 34243, USA.Optical Spectroscopy and Nano-Materials Laboratory, Division of Natural Sciences, New College of Florida, Sarasota, FL 34243, USA. 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.https://www.academia.edu/127386940/Mathematical_forms_of_Planck_s_thermal_radiation_law_and_photobiological_biomass_adaptations |
| spellingShingle | Mariana Sendova Isaac Moncada-Almendarez Mathematical forms of Planck’s thermal radiation law and photobiological biomass adaptations Academia Biology |
| title | Mathematical forms of Planck’s thermal radiation law and photobiological biomass adaptations |
| title_full | Mathematical forms of Planck’s thermal radiation law and photobiological biomass adaptations |
| title_fullStr | Mathematical forms of Planck’s thermal radiation law and photobiological biomass adaptations |
| title_full_unstemmed | Mathematical forms of Planck’s thermal radiation law and photobiological biomass adaptations |
| title_short | Mathematical forms of Planck’s thermal radiation law and photobiological biomass adaptations |
| title_sort | mathematical forms of planck s thermal radiation law and photobiological biomass adaptations |
| url | https://www.academia.edu/127386940/Mathematical_forms_of_Planck_s_thermal_radiation_law_and_photobiological_biomass_adaptations |
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