The narrow resonances of the ${}_{}{}^{27}{}_{}{}^{}\mathrm{Al}$($p$,$\gamma$)${}_{}{}^{28}{}_{}{}^{}\mathrm{Si}$ reaction were utilized to determine the energy loss and straggling of fast ${\mathrm{H}}^{+}$ in metals and their compounds precisely. The energy-loss data obtained for ${\mathrm{H}}^{+}$ in single elemen$\stackrel{\mathrm{´}}{\mathrm{t}}$s are in good agreement with the semiempirical data given by Andersen and Ziegler, whereas the experimental results of the energy straggling for high-Z-number materials deviate from the theoretical predictions by Bohr and Vavilov. With regard to material dependence of the energy straggling, the results obtained are relatively consistent with the theoretical values given by Chu. Validity of the additivity rule for both the energy loss and straggling of fast ${\mathrm{H}}^{+}$ in ${\mathrm{In}}_2$${\mathrm{O}}_3$, Ti${\mathrm{O}}_2$, and Al-Cu was verified within experimental error.

• Received 15 July 1982

DOI:https://doi.org/10.1103/PhysRevB.27.2667