“…The two hyperfine fields (two-proton) polaron pair model has been used in explaining the MFEs in OLEDs 10,23 . The polaron pair model has been successful in qualitatively describing ultra-small magnetic field effects 10,31,33 , and the model has been greatly developed in the past decade 23,24,31,32,36,37 . Here, in order to demonstrate the fitting process of the polaron pair model, a general and simplified two hyperfine field polaron pair model is applied here for the convenience of the fitting, where a reduced stochastic Liouville von Neumann equation is applied, compared to that used in some theoretical works 23,24,31,32,36,37 .…”