<p>A precise, non-destructive method for determining the areal density of thin graphenic carbon (GC) foils via alpha-particle energy loss is presented. Two types of GC foils — sourced from KETEK GmbH and Applied Nanotech Inc. — were investigated using a three-isotope mixed alpha source emitting particles in the 5.0–5.8&#xa0;<InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\textrm{MeV}\)</EquationSource> </InlineEquation> range. Both foils have similar nominal areal densities of approximately <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(0.2\,\mathrm {mg\,cm^{-2}}\)</EquationSource> </InlineEquation>, but differ slightly in chemical composition and microstructure. High-resolution alpha spectroscopy yielded energy-loss measurements with relative uncertainties below 1%. The uncertainty of the extracted areal densities and stopping powers is dominated by the determination of foil mass, area and composition metrology, rather than by the alpha-energy-loss measurement itself. Experimental stopping powers were obtained by combining the measured energy loss with independently determined foil masses and areas, and were compared with established stopping-power models. A modified Bethe formalism incorporating Barkas and Bloch corrections, together with an empirically adjusted mean excitation energy <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(I_\textrm{adj}\)</EquationSource> </InlineEquation>, provided the most consistent description of the data across the investigated energy range. The resulting values were <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\((73 \pm 2)\,\textrm{eV}\)</EquationSource> </InlineEquation> for the KETEK foil and <InlineEquation ID="IEq5"> <EquationSource Format="TEX">\((85 \pm 3)\,\textrm{eV}\)</EquationSource> </InlineEquation> for the Applied Nanotech foil. The fitted stopping-power curves indicate a systematic difference between the two GC foils, consistent with their differing compositions and microstructures. Because the stopping-power model is calibrated against the same reference foils, however, this interpretation is model-dependent and requires further validation using independently characterised samples. While the method is well suited to thin foils, angular straggling and the non-linear energy dependence of the stopping power may limit its applicability beyond the thin-target approximation. The reported stopping-power data are relevant for benchmarking Monte Carlo simulations and modelling energy deposition in carbon-based materials, with applications in accelerator technology and radiopharmaceutical research. In medical physics, stopping power is closely related to linear energy transfer, which governs the biological effectiveness of alpha-emitting isotopes in targeted therapies.</p>

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Accurate alpha-particle stopping power measurements in graphenic carbon foils and their application to high-precision, non-destructive areal density determination

  • Konstantina Botsiou,
  • Sivaji Purushothaman,
  • Hans Geissel,
  • Timo Dickel,
  • Joachim Enders,
  • Emma Haettner,
  • David J. Morrissey,
  • Maxim Saifulin,
  • Christoph Scheidenberger,
  • Marilena Tomut,
  • Helmut Weick,
  • Jianwei Zhao

摘要

A precise, non-destructive method for determining the areal density of thin graphenic carbon (GC) foils via alpha-particle energy loss is presented. Two types of GC foils — sourced from KETEK GmbH and Applied Nanotech Inc. — were investigated using a three-isotope mixed alpha source emitting particles in the 5.0–5.8  \(\textrm{MeV}\) range. Both foils have similar nominal areal densities of approximately \(0.2\,\mathrm {mg\,cm^{-2}}\) , but differ slightly in chemical composition and microstructure. High-resolution alpha spectroscopy yielded energy-loss measurements with relative uncertainties below 1%. The uncertainty of the extracted areal densities and stopping powers is dominated by the determination of foil mass, area and composition metrology, rather than by the alpha-energy-loss measurement itself. Experimental stopping powers were obtained by combining the measured energy loss with independently determined foil masses and areas, and were compared with established stopping-power models. A modified Bethe formalism incorporating Barkas and Bloch corrections, together with an empirically adjusted mean excitation energy \(I_\textrm{adj}\) , provided the most consistent description of the data across the investigated energy range. The resulting values were \((73 \pm 2)\,\textrm{eV}\) for the KETEK foil and \((85 \pm 3)\,\textrm{eV}\) for the Applied Nanotech foil. The fitted stopping-power curves indicate a systematic difference between the two GC foils, consistent with their differing compositions and microstructures. Because the stopping-power model is calibrated against the same reference foils, however, this interpretation is model-dependent and requires further validation using independently characterised samples. While the method is well suited to thin foils, angular straggling and the non-linear energy dependence of the stopping power may limit its applicability beyond the thin-target approximation. The reported stopping-power data are relevant for benchmarking Monte Carlo simulations and modelling energy deposition in carbon-based materials, with applications in accelerator technology and radiopharmaceutical research. In medical physics, stopping power is closely related to linear energy transfer, which governs the biological effectiveness of alpha-emitting isotopes in targeted therapies.