CollisionDB: DataSet D108171

\[\mathrm{He}^{2+} + \mathrm{H} \; 1s \rightarrow \mathrm{He}^{2+} + \mathrm{H}^{+} + \mathrm{e}^-\]

Process	HIN: Ionization
Data type	cross section \| uploaded on 2023-02-08
Comment	Fit function taken from p108. Error: E<3keV/u -> 100%, 3keV/u<E<10keV/u -> 50%, 10keV/u<E<30keV/u -> 20%, E<30keV/u -> 10%

Method	semi-empirical
Frame	Target
Columns	E /eV u^-1 sigma /cm²
Ref	B37: R. K. Janev, J. J. Smith, "Cross sections for collision processes of hydrogen atoms with electrons, protons, and multiply charged ions", IAEA- Atomic and Plasma–Material Interaction Data for Fusion, Vienna 4 (1993). [https://www.iaea.org/publications/1839/atomic-and-plasma-material-interaction-data-for-fusion]
Data	Download (data from fit)

Fitted Data

Fit Function
Details

\[\sigma_{ion}^{1,2,3}(E) =10^{-16}A_1 \Bigg[\frac{e^{-\frac{A_2}{E}}\ln(1+A_3E)}{E} + \frac{A_4e^{-A_5E}}{E^{A_6} + A_7E^{A_8}}\Bigg]\]

Python

def h_hin_javen_he(E, A1, A2, A3, A4, A5, A6, A7, A8):
    """
    This function calculates He+2 impact ionzation cross sections (in cm2) of 
    H n=1,2 and 3.
    param E: requested impact energy in keV/u
    type E: float, np.ndarray
    param Ai: fit coefficient 
    type Ai: float
    """
    sigma = 1e-16 * A1 * (np.exp(-A2/E) * np.log(1 + A3*E) / E + 
                    A4*np.exp(-A5*E)/ (E**A6 + A7*E**A8))
    return sigma

Fit Precision

5.9 %

Fit Coefficients

A1	4.050e+01
A2	1.126e+02
A3	1.550e+06
A4	1.428e-05
A5	4.116e-02
A6	-2.635e+00
A7	4.059e+00
A8	-5.920e+00

x-range

–