DataSet D108105

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


Process EIN: Ionization
Data type cross section | uploaded on 2023-02-08
Comment Fit function and data were taken from Janev et al. p28

Methodexperimental
Columns
  1. E /eV
  2. sigma /cm2
Threshold13.600 eV
Ref
DataDownload (data from fit)

Fitted Data

Fit Function
Details
\[\sigma_{ion} (E) = \frac{10^{-13}}{IE} \Bigg[A_1 \ln \bigg( \frac{E}{I} \bigg) + \sum_{j=1}^5 A_{j+1}\bigg(1 - \frac{E}{I} \bigg)^j \Bigg]\]
Python
def h_ein_janev(E, A1, A2, A3, A4, A5, A6, I):
    """
    This function calculates electron impact ionization cross sections (in cm2) of 
    H n=1, 2, 3.
    param E: requested electron-impact energy in eV
    type E: float, np.ndarray
    param Ai: fit coefficient 
    type Ai: float
    param I: ionization energy in eV
    type I: float
    """
    sigma = 1e-13/(E*I)*(A1*np.log(E/I)+A2*(1-I/E) +  A3*(1-I/E)**2
                     + A4*(1-I/E)**3 + A5*(1-I/E)**4 + A6*(1-I/E)**5)
    return sigma
Fit Precision1.3 %
Fit Coefficients
A1
 1.845e-01
A2
-3.223e-02
A3
-3.454e-02
A4
 1.400e+00
A5
-2.812e+00
A6
 2.299e+00
I
 1.360e+01
x-range 13.601 –