Calculating Bethe Stopping Power Constant: 606,235 or 78,500?

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SUMMARY

The discussion centers on the calculation of the Bethe stopping power constant, which is derived from the formula 2*pi*N*e^4, where N represents Avogadro's number and e is the electron charge. A discrepancy arises between the commonly accepted value of 78,500 and the calculated value of 606,235. The calculation utilizes the Bethe Bloch equation and incorporates constants such as the classical electron radius (2.818 x 10^-13 cm) and the electron rest mass (511,000 eV). The error in calculation is not explicitly identified, prompting further inquiry into the methodology used.

PREREQUISITES
  • Understanding of the Bethe Bloch equation
  • Familiarity with Avogadro's number (6.02214179E+23 mol^-1)
  • Knowledge of fundamental constants such as the electron charge (1.602176487E-19 C)
  • Basic grasp of classical electron radius (2.818 x 10^-13 cm) and electron rest mass (511,000 eV)
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  • Review the derivation of the Bethe stopping power constant in detail
  • Investigate the implications of relativistic effects on the Bethe stopping power
  • Explore the application of the Bethe Bloch equation in different materials
  • Examine the role of fundamental constants in particle physics calculations
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John2
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The nonrelativistic Bethe stopping power function contains the constant 2*pi*N*e^4 where N is Avogadro's number and e is the electron charge. In the literature, this constant is often calculated to be 78,500. If calculate the constant, I get 606,235 (=2 * pi * 6.02214179E+23 mol^-1 *(1.602176487E-19 C)^4). Does anybody know what my mistake is?

Thank you.
 
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Thank you. That helped.
 

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