hyperfine.implantation.electronic_stopping.proton_stopping_cross_section

hyperfine.implantation.electronic_stopping.proton_stopping_cross_section(T: Sequence[float], A_1: Annotated[float, slice(0, None, None)], A_2: Annotated[float, slice(0, None, None)], A_3: Annotated[float, slice(0, None, None)], A_4: Annotated[float, slice(0, None, None)], A_5: Annotated[float, slice(0, None, None)]) → Sequence[float]

Low-energy proton electronic stopping cross section.

Empirical Varelas-Biersack parameterization of the proton electronic stopping cross section for scaled energies \(T\) around the stopping power maximum.

See Eqs. (3.1a)-(3.1c) & (3.2) in: https://doi.org/10.1093/jicru_os25.2.18

Parameters:

• T – Scaled projectile energy (keV).

• A_1 – Empirical stopping coefficient \(A_{2}\) (10^-15 eV cm² atom^-1 keV^-0.5).

• A_2 – Empirical stopping coefficient \(A_{2}\) (10^-15 eV cm² atom^-1 keV^-0.45).

• A_3 – Empirical stopping coefficient \(A_{3}\) (10^-15 eV cm² atom^-1 keV).

• A_4 – Empirical stopping coefficient \(A_{4}\) (keV).

• A_5 – Empirical stopping coefficient \(A_{5}\) (keV^-1).

Returns:

The proton stopping cross section at scaled energy \(T\) (10^-15 eV cm² atom^-1).