some_origins_of_multiexponetial_decays_for_single_dyes
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| some_origins_of_multiexponetial_decays_for_single_dyes [2015/11/03 14:09] – admin | some_origins_of_multiexponetial_decays_for_single_dyes [2019/03/06 12:32] – admin | ||
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| //Case C) The interconversion rate constants kAB and kBA are in the same order of $\tau_A$ and $\tau_B$.// In this case, the decay curves measured for species A and B would be biexponential for both, with common lifetimes $\tau_1$ and $\tau_2$. However, $\tau_1$ and $\tau_2$ would not correspond to $\tau_A$ or $\tau_B$ , but would be a function of both and of their interconversion rate constants kAB and kBA, as well as of the concentration of X. The system would have to be solved mathematically. For a system like in Scheme 2 the time evolution of species A and B would be: | //Case C) The interconversion rate constants kAB and kBA are in the same order of $\tau_A$ and $\tau_B$.// In this case, the decay curves measured for species A and B would be biexponential for both, with common lifetimes $\tau_1$ and $\tau_2$. However, $\tau_1$ and $\tau_2$ would not correspond to $\tau_A$ or $\tau_B$ , but would be a function of both and of their interconversion rate constants kAB and kBA, as well as of the concentration of X. The system would have to be solved mathematically. For a system like in Scheme 2 the time evolution of species A and B would be: | ||
| - | A(t) = A1 e^{-t/$\tau_1$} + A2 e^{-t/$\tau_2$} | + | $A(t) = A1 e^{-t/ |
| - | B(t) = B1 e^{-t/$\tau_1$} + B2 e^{-t/$\tau_2$} | + | $B(t) = B1 e^{-t/ |
| where: | where: | ||
some_origins_of_multiexponetial_decays_for_single_dyes.txt · Last modified: 2019/03/19 12:31 by oschulz