On the Relationship between Incoming Solar Radiation and Daily Maximum and Minimum Temperature. Bristow, K. L. and Campbell, G. S. 31(2):159–166.
On the Relationship between Incoming Solar Radiation and Daily Maximum and Minimum Temperature [link]Paper  doi  abstract   bibtex   
A relationship between atmospheric transmittance and the daily range of air temperature is developed. The relationship is T t = A [1 – exp ( – BΔT c )] where T t is the daily total atmospheric transmittance, ΔT is the daily range of air temperature, and A, B, and C are empirical coefficients, determined for a particular location from measured solar radiation data. Tests on three data sets indicate that 70-90\,% of the variation in daily solar radiation can be accounted for by this simple model.
@article{bristowRelationshipIncomingSolar1984,
  title = {On the Relationship between Incoming Solar Radiation and Daily Maximum and Minimum Temperature},
  author = {Bristow, Keith L. and Campbell, Gaylon S.},
  date = {1984-05},
  journaltitle = {Agricultural and Forest Meteorology},
  volume = {31},
  pages = {159--166},
  issn = {0168-1923},
  doi = {10.1016/0168-1923(84)90017-0},
  url = {https://doi.org/10.1016/0168-1923(84)90017-0},
  abstract = {A relationship between atmospheric transmittance and the daily range of air temperature is developed. The relationship is T t = A [1 -- exp ( -- BΔT c )] where T t is the daily total atmospheric transmittance, ΔT is the daily range of air temperature, and A, B, and C are empirical coefficients, determined for a particular location from measured solar radiation data. Tests on three data sets indicate that 70-90\,\% of the variation in daily solar radiation can be accounted for by this simple model.},
  keywords = {*imported-from-citeulike-INRMM,~INRMM-MiD:c-4797690,~to-add-doi-URL,empirical-equation,solar-radiation,temperature},
  number = {2}
}
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