DataSet D107761

\[\mathrm{H}^{+} + \mathrm{H} \; n=2 \rightarrow \mathrm{H}^{+} + \mathrm{H}^{+} + \mathrm{e}^-\]

Process HIN: Ionization
Data type cross section | uploaded on 2022-12-13
Comment Fit function taken from equation (5). Dat retaed to adf21 and adf22.
Methodsemi-empirical
FrameTarget
Columns
  1. E /eV u-1
  2. sigma /cm2
Ref
DataDownload (data from fit)

Fitted Data

Fit Function
Details		 \[\sigma_{ion}^{n>1}(E) = 10^{-16}A_1A_9^4 \Bigg[\frac{\tilde{E}^{A_2}e^{-A_3\tilde{E}}}{1 + A_4\tilde{E}^{A_5}} + \frac{A_6e^{\frac{-A_7}{\tilde{E}}} \ln(1+A_8\tilde{E})}{\tilde{E}} \Bigg], \tilde{E} = A_9^2E, A_9 = n\]
Python 
def h_hin_adas(E, A1, A2, A3, A4, A5, A6, A7, A8, A9):
    """
    This function calculates proton 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
    """
    e = E * A9**2
    sigma = A9**4*1e-16*A1*(e**A2*np.exp(-A3*e)/(1+A4*e**A5) +
                            A6*np.exp(-A7/e)*np.log(1+A8*e)/e)
    return sigma
Fit Precision1.7 %
Fit Coefficients 
A1
 3.933e-03
A2
 1.819e+00
A3
 1.887e-02
A4
 6.749e-03
A5
 1.377e+00
A6
 6.885e+02
A7
 9.644e+01
A8
 5.652e+23
A9
 2.000e+00
x-range –