Table 6.

Effect of increasing temperature on the probability of radiative (P_r) and non-radiative (P_nr) decay.

Equation	Effect if the knr value (or temperature) is increased
$\begin{array}{c}\lambda =k_r+k_{\mathit{\text{nr}}}\\ \tau =\frac{1}{\lambda }\end{array}$	λ (the decay rate constant) will be increased. Hence, the decay lifetime of the transition will be decreased
$P_r=\frac{k_r}{k_r+k_{\mathit{\text{nr}}}}$	If the knr term is increased, the probability of radiative transition will be decreased. If the temperature is very high, this probability will yield to zero. (impossible)
$P_{\mathit{\text{nr}}}=\frac{k_{\mathit{\text{nr}}}}{k_r+k_{\mathit{\text{nr}}}}$	If the knr term is increased, the probability of non-radiative transition will increase, yielding to 1 (certainty) at high temperatures.