Calculation of the avoided level-crossing muon spin resonance response for various stochastic motions using Monte Carlo methods Original Research Article

Spectral simulations of the dynamic avoided level-crossing muon spin resonance response , calculated using Monte Carlo methods, are presented. This work is exclusively concerned with the band associated with the ΔM = 1 transition, the form of which is found to be highly dependent upon the nature of the dynamic behaviour of the radical. Various types of stochastic motion are considered. It is shown that spherical averaging of the muon anisotropy instigates a broadening of the resonance and ultimately, the loss of any meaningful intensity. Any motion which gives rise to residual anisotropy will be manifested by residual intensity at the central band position. Spectral simulations are compared with previous simulations, calculated using the stochastic Liouville formalism, and related to experimental data.