photon irradiance, Ep 

https://doi.org/10.1351/goldbook.P04637
Number of photons (quanta of radiation, Np) per time interval (photon flux), qp, incident from all upward directions on a small element of surface containing the point under consideration divided by the area of the element. SI unit is m2 s1. Equivalent definition: Integral, taken over the hemisphere visible from the given point, of the expression LpcosθdΩ the photon radiance at the given point in the various directions of the incident beam of solid angle Ω and θ the angle between any of these beams and the normal to the surface at the given point.
Notes:
  1. Mathematical definition: Ep=dqp/dS. If the photon flux is constant over the surface considered, Ep=qp/S. Equivalent definition: Ep=2πLpcosθdΩ.
  2. This term refers to a beam not scattered or reflected by the target or its surroundings. For a beam incident from all directions photon fluence rate (Ep,o) is an equivalent term.
  3. This quantity can be used on a chemical amount basis by dividing Ep by the Avogadro constant, the symbol then being En,p, the name 'photon irradiance, amount basis', SI unit is molm2s1; common unit is einstein m2 s1.
Source:
PAC, 2007, 79, 293. (Glossary of terms used in photochemistry, 3rd edition (IUPAC Recommendations 2006)) on page 396 [Terms] [Paper]