DataSet D108022

\[\mathrm{He}^{2+} + \mathrm{H} \; 1s \rightarrow \mathrm{He}^{2+} + \mathrm{H} \; n=9\]


Process HEX: Excitation
Data type cross section | uploaded on 2023-02-08
Comment Fit function taken from p90. Error: E<10keV/u -> 100%, 10keV/u<E<80keV/u -> 50%, 80keV/u<E<200keV/u -> 30%, E<200keV/u -> 15%

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

Fitted Data

Fit Function
Details
\[\sigma_{ex}^{1\rightarrow n>6}(E) =\bigg(\frac{6}{A_9}\bigg)^310^{-16}A_1 \Bigg[\frac{e^{-\frac{A_2}{E}}\ln(1+A_3E)}{E} + \frac{A_4e^{-A_5E}}{E^{A_6} + A_7E^{A_8}}\Bigg]\]
Python
def h_hex_janev_1n(E, A1, A2, A3, A4, A5, A6, A7, A8, A9):
    """
    This function calculates proton impact excitation cross sections (in cm2) of 
    H n=1 to n>6 and He+2 of H n=1 to n>6
    param E: requested impact energy in keV/u
    type E: float, np.ndarray
    param Ai: fit coefficient 
    type Ai: float
    """
    sigma = (6/A9)**3 * 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 Precision1.0 %
Fit Coefficients
A1
 2.551e+00
A2
 7.435e+01
A3
 1.963e-01
A4
 3.357e-05
A5
 1.288e-01
A6
-2.295e+00
A7
 5.144e-03
A8
-5.599e+00
A9
 9.000e+00
x-range –