Mössbauer measurements of static critical behavior in disorderedFeAlalloys

Mössbauer measurements were made on disordered ${\mathrm{Fe}}_{1-x}{\mathrm{Al}}_x$ alloys over the range $0\le x\le 0.04$ in order to determine the critical exponent $\beta$. It was found, in agreement with theoretical predictions, that $\beta$ remains unchanged with the addition of disorder. With the use of analysis that contains correction to scaling terms, a mean value of $\beta =0.366\mathrm{}\left(2\right)\mathrm{}$ was found for five measurements. This is in excellent agreement with the renormalization-group prediction of $\beta =0.365\mathrm{}\left(1\right)\mathrm{}$. A model was developed to help interpret critical behavior in the presence of a small distribution of critical temperatures observed in the alloy measurements.