About the perturbation factor for static and distributed quadrupole interaction in PAC spectroscopy

The traditional analysis of electric quadrupole interaction in disordered materials can give hyperfine parameters that would mask the actual values. As the relative distribution width delta increases, the correlation of this parameter with the rest produces strong shifts in all of them. Motivated by the values delta greater than or equal to 0.4 fitted in BaTi1-xHfxO3 for 0 less than or equal to x less than or equal to 0.2 and other perovskites we extend previous calculations for Gaussian distribution function to the interval 0.3 less than or equal to delta less than or equal to 1. We also include the study of correlation between quadrupole parameters for Lorentzian distribution function in the 0 less than or equal to delta less than or equal to 1 interval.