DataSet D107511

\[\mathrm{H}^{+} + \mathrm{Li} \; 4s \rightarrow \mathrm{Li} \; 4p + \mathrm{H}^{+}\]

Process HEX: Excitation
Data type cross section | uploaded on 2022-11-11
Comment Fit function in set IA scaled with relation from setIIA based on WUtte et al.
Methodsemi-empirical
FrameTarget
Columns
  1. E /eV u-1
  2. sigma /cm2
Threshold0.190 eV
Ref
  • B18: D. Wutte, R.K. Janev, F. Aumayr, M. Schneider, J. Schweinzer, J.J. Smith and H.P. Winter, "CROSS SECTIONS FOR COLLISION PROCESSES OF Li ATOMS INTERACTING WITH ELECTRONS, PROTONS, MULTIPLY CHARGED IONS, AND HYDROGEN MOLECULES", Atomic Data and Nuclear Data Tables 65, 155-180 (1997). [10.1006/adnd.1997.0736]
  • B19: J. Schweinzer, R. Brandenburg, I. Bray, R. Hoekstra, F. Aumayr, R. K. Janev, H. P. Winter, "Database for inelastic collisions of lithium atoms with electrons, protons, and multiply charged ions", Atomic Data and Nuclear Data Tables 72, 239-273 (1999). [10.1006/adnd.1999.0815]
DataDownload (data from fit)

Fitted Data

Fit Function
Details		 \[\begin{align} & \sigma_p^{exc}(E_p) = \sigma_e^{exc}(E_e) = \frac{5.984 \times 10^{-16}}{E} \Bigg[\frac{E- I}{E} \Bigg]^{A_6} \Bigg[ \sum_{j=1}^{4}\frac{A_j}{(E/I)^{j-1}} + A_5\ln\bigg( \frac{E}{I} \bigg) \Bigg] \\ & \quad E_p(keV/amu) = 0.918E_e(eV)\Bigg[1 - \frac{dE(eV)}{1.15E_e(eV)} + \sqrt{\bigg(1- \frac{dE(eV)}{E_e(eV)}\bigg)} \Bigg] \\ \end{align}\]
Python 
def li_hex_wutte(E, A1, A2, A3, A4, A5, A6, I):
    """
    This function calculates proton impact excitation cross sections (in cm2) of 
    Li.
    param E: requested electron-impact energy in eV
    type E: float, np.ndarray
    param Ai: fit coefficient 
    type Ai: float
    param I: threshold energy in eV
    type I: float
    """
    energy = np.logspace(np.log10(I), 5, num=500)
    sigma_e = 5.984e-16/E * ((energy-I)/energy)**A6 * (A1/((energy/I)**0) + A2/((energy/I)**1) +  A3/((energy/I)**2) + A4/((energy/I)**3) + A5*np.log(energy/I))
    ref_E = 0.918*energy*(1-I/(1.15*energy) + np.sqrt(1-I/energy))
    sigma_p = sp.interpolate.interp1d(ref_E, sigma_e, kind='linear', fill_value='extrapolate')
    return sigma_p(E)
Fit Precision2.0 %
Fit Coefficients 
A1
 7.249e-02
A2
 8.168e+02
A3
 0.000e+00
A4
 0.000e+00
A5
 9.927e+02
A6
 1.154e+00
I
 1.900e-01
x-range 0.022750434782608683 –