CollisionDB: DataSet D108169

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

Process	HIN: Ionization
Data type	cross section \| uploaded on 2023-02-08
Comment	Fit function and data were taken from Janev et al. p68. Error: E<0.2keV/u -> 100%, 0.2keV/u<E<2keV/u -> 20%, 2keV/u<E<5keV/u -> 30%, 5keV/u<E<10keV/u -> 20%, E<10keV/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

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

Python

def h_hin_janev(E, A1, A2, A3, A4, A5, A6, A7, A8):
    """
    This function calculatesproton impact ionization cross sections (in cm2) of 
    H n=1.
    param E: requested proton-impact energy in keV
    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

1.7 %

Fit Coefficients

A1	1.290e+01
A2	6.190e+01
A3	9.273e+03
A4	4.975e-04
A5	3.989e-02
A6	-1.590e+00
A7	3.183e+00
A8	-3.715e+00

x-range

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