DataSet D108121

\[\mathrm{H}^{+} + \mathrm{H} \; n=7 \rightarrow \mathrm{H} + \mathrm{H}^{+}\]


Process HCX: Charge Transfer
Data type cross section | uploaded on 2023-02-08
Comment Fit function taken from p80. Error: E< 0.1/n^2 keV/u -> 40%, 0.1/n^2 keV/u < E < 40/n^2 keV/u -> 30%, 40, E< 40/n^2 keV/u -> 20%

Methodsemi-empirical
FrameTarget
Columns
  1. E /eV u-1
  2. sigma /cm2
Ref
DataDownload (data from fit)

Fitted Data

Fit Function
Details
\[\sigma_{CX}^{n>1}(E)= \frac{A_7^410^{-16}A_1 \ln \big( \frac{A_2}{\tilde E} + A_6 \big)}{1 + A_3 \tilde E + \big( A_4 \tilde E \big)^{3.5} + \big(A_5 \tilde E \big)^{5.4} }, \tilde E = EA_7^2\]
Python
def h_hcx_janev_scaled(E, A1, A2, A3, A4, A5, A6, A7):
    """
    This function calculates proton impact charge exchange cross sections (in cm2) of 
    H n>1.
    param E: requested electron-impact energy in keV
    type E: float, np.ndarray
    param Ai: fit coefficient 
    type Ai: float
    """
    e = E*A7**2
    sigma = A7**4 * 1e-16 * A1 * np.log(A2/e + A6) / 
    (1 + A3*e +(A4*e)**3.5 + (A5*e)**5.4)
    return sigma
Fit Coefficients
A1
 2.134e-01
A2
 1.000e+10
A3
 1.818e-03
A4
 2.664e-02
A5
 1.451e-02
A6
 1.343e+06
A7
 7.000e+00
x-range –