<?xml version="1.0" encoding="UTF-8"?>
<term>
  <id>07312</id>
  <title>absorbed photon flux density</title>
  <longtitle>IUPAC Gold Book - absorbed photon flux density</longtitle>
  <doi>10.1351/goldbook.AT07312</doi>
  <code>AT07312</code>
  <status>current</status>
  <synonym><em>synonym</em>: absorbed spectral photon flux density</synonym>
  <index>quantity</index>
  <definitions>
    <item>
      <id>1</id>
      <text>Number of photons of a particular wavelength per time interval (spectral photon flux, number basis, \(q_{\rm{p},\lambda }\), or spectral photon flux, amount basis, \(q_{n,\rm{p},\lambda }\)) absorbed by a system per volume, \(V\). On number basis, SI unit is \(\rm{s}^{-1}\ \rm{m}^{-4}\), and the  common unit is \(\rm{s}^{-1}\ \rm{cm}^{-3}\ \rm{nm}^{-1}\). On amount basis, SI unit is \(\pu{mol s-1 m-4}\), and a common unit is \(\pu{einstein s-1 cm-3 nm-1}\).</text>
      <notes>
        <item>Mathematical expression: \(\frac{q_{p,\lambda }^{0}[1 - 10^{-A(\lambda )} ]}{V}\) on number basis, \(\frac{q_{n,p,\lambda }^{0}[ 1 - 10^{-A(\lambda )} ]}{V}\) on amount basis, where \(A(λ)\) is the absorbance at wavelength \(λ\) and superscript \(0\) (zero) indicates incident photons.</item>
        <item>Absorbed spectral photon flux density (number basis or amount basis) should be used in the denominator when calculating a differential quantum yield and using in the numerator the rate of change of the number concentration, \(\frac{dC}{dt}\) or the rate of change of the amount concentration, \(\frac{dc}{dt}\), respectively.</item>
      </notes>
      <links>
        <item>
          <term>absorbance</term>
          <url>https://goldbook.iupac.org//terms/view/A00028</url>
        </item>
        <item>
          <term>amount concentration</term>
          <url>https://goldbook.iupac.org//terms/view/A00295</url>
        </item>
        <item>
          <term>quantum yield</term>
          <url>https://goldbook.iupac.org//terms/view/Q04991</url>
        </item>
        <item>
          <term>spectral photon flux</term>
          <url>https://goldbook.iupac.org//terms/view/S05821</url>
        </item>
        <item>
          <term>wavelength</term>
          <url>https://goldbook.iupac.org//terms/view/W06659</url>
        </item>
      </links>
      <sources>
        <item>PAC, 2007, 79, 293. 'Glossary of terms used in photochemistry, 3rd edition (IUPAC Recommendations 2006)' on page 297 (https://doi.org/10.1351/pac200779030293)</item>
      </sources>
    </item>
  </definitions>
  <altoutputs>
    <html>https://goldbook.iupac.org/terms/view/AT07312/html</html>
    <json>https://goldbook.iupac.org/terms/view/AT07312/json</json>
    <plain>https://goldbook.iupac.org/terms/view/AT07312/plain</plain>
  </altoutputs>
  <citation>Citation: 'absorbed photon flux density' in IUPAC Compendium of Chemical Terminology, 5th ed. International Union of Pure and Applied Chemistry; 2025. Online version 5.0.0, 2025. 10.1351/goldbook.AT07312</citation>
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  <disclaimer>The International Union of Pure and Applied Chemistry (IUPAC) is continuously reviewing and, where needed, updating terms in the Compendium of Chemical Terminology (the IUPAC Gold Book). Users of these terms are encouraged to include the version of a term with its use and to check regularly for updates to term definitions that you are using.</disclaimer>
  <accessed>2026-06-06T20:31:44+00:00</accessed>
</term>
