DataSet D108146

\[\mathrm{H}^{+} + \mathrm{H} \; n=3 \rightarrow \mathrm{H}^{+} + \mathrm{H} \; n=8\]


Process HEX: Excitation
Data type cross section | uploaded on 2023-02-08
Comment Fit function taken from p62. Error: E<5keV/u -> 100%, 5keV/u<E<25keV/u -> 40%, 25keV/u<E<300keV/u -> 25%, E<300keV/u -> 15%

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

Fitted Data

Fit Function
Details
\[\sigma_{ex}^{2\rightarrow n > 5}(E) =10^{-16}A_1A_7 \Bigg[\frac{e^{-\frac{A_2}{E}}\ln(1+A_3E)}{E} + \frac{A_4e^{-A_5E}}{E^{A_6}}\Bigg]\]
Python
def h_hex_janev_2n(E, A1, A2, A3, A4, A5, A6, A7):
    """
    This function calculates proton impact excitation cross sections (in cm2) of 
    H n=2 to n>5 and n=3  to n>6 and for He+2 of H n=2 to n>5 and n=3 to n>6
    param E: requested impact energy in keV/u
    type E: float, np.ndarray
    param Ai: fit coefficient 
    type Ai: float
    """
    sigma = 1e-16 * A1 * A7 * (np.exp(-A2/E) * np.log(1 + A3*E) / E + A4*np.exp(-A5*E)/E**A6)
    return sigma
Fit Precision1.0 %
Fit Coefficients
A1
 6.349e+01
A2
 1.151e+01
A3
 4.342e+00
A4
 7.795e-02
A5
 5.346e-01
A6
-1.288e+00
A7
 2.545e-01
x-range –