https://doi.org/10.1351/goldbook.Q04991

Number of defined events occurring per

The integral quantum yield is \[\mathit{\Phi}(\lambda) = \frac{\text{number of events}}{\text{number of photons absorbed}}\] For a @[email protected], \[\mathit{\Phi}(\lambda) = \frac{\text{amount of reactant consumed or product formed}}{\text{number of photons absorbed}}\] The differential quantum yield is \[\mathit{\Phi}(\lambda) = \frac{\text{d}x/\text{d}t}{q_{n,\text{p}}^{0}[ 1 - 10^{-A(\lambda)} ]}\] where \(\text{d}x/\text{d}t\) is the rate of change of a @[email protected] (spectral or any other property), and \(q_{n\text{,p}}^{0}\) the amount of photons (\(\text{mol}\) or its equivalent \(\text{einstein}\)) __photon absorbed__by the system.__incident__(prior to absorption) per time interval (photon flux, amount basis). \(A(\lambda)\) is the @[email protected] at the excitation @[email protected]

**Notes:**

- Strictly, the term quantum yield applies only for monochromatic excitation. Thus, for the differential quantum yield, the absorbed spectral photon flux density (number basis or amount basis) should be used in the denominator of the equation above when \(x\) is either the number concentration (\(C = N/V\)), or the @[email protected] (\(c\)), respectively.
- \(\mathit{\Phi}\) can be used for @[email protected] (such as, e.g., @[email protected], @[email protected] and @[email protected]) or photochemical reactions.