DataSet D108127

\[\mathrm{H}^{+} + \mathrm{H} \; 1s \rightarrow \mathrm{H}^{+} + \mathrm{H} \; n=4\]


Process HEX: Excitation
Data type cross section | uploaded on 2023-02-08
Comment Fit function taken from p50. Error: E<0.5keV/u -> 100%, 0.5keV/u<E<5keV/u -> 50%, 5keV/u<E<25keV/u -> 30%, 25keV/u<E<200keV/u -> 20%, E<200keV/u -> 10%

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

Fitted Data

Fit Function
Details
\[\sigma_{ex}^{1\rightarrow 3,4,5,6}(E)=10^{-16}A_1 \Bigg[\frac{e^{-\frac{A_2}{E}}\ln(1+A_3E)}{E} + \frac{A_4e^{-A_5E}}{E^{A_6} + A_7E^{A_8}}\Bigg]\]
Python
def h_hex_janev_16(E, A1, A2, A3, A4, A5, A6, A7, A8):
    """
    This function calculates proton impact excitation cross sections (in cm2) of 
    H n=1 to n=3,4,5,6 and He+2 impact of n=1 to n=5,6.
    param E: requested impact energy in keV/u
    type E: float, np.ndarray
    param Ai: fit coefficient 
    type Ai: float
    """
    sigma = 1e-16 * A1 * (np.exp(-A2/E) * np.log(1 + A3*E) / E + 
                    A4*np.exp(-A5*E)/ (E**A6 + A7*E**A8))
    return sigma
Fit Precision2.8 %
Fit Coefficients
A1
 2.066e+00
A2
 3.498e+01
A3
 9.121e-01
A4
 5.133e-04
A5
 2.895e-01
A6
-2.285e+00
A7
 1.153e-01
A8
-4.897e+00
x-range –