DataSet D107459

\[\mathrm{e}^- + \mathrm{Li} \; 3s \rightarrow \mathrm{Li} \; 4p + \mathrm{e}^-\]

Process EEX: Excitation
Data type cross section | uploaded on 2022-11-11
Comment Using CCC_45 to compute crossection data. Fit function in equation (1) from Schweinzer et al.
MethodCCC: Convergent close-coupling
Columns
  1. E /eV
  2. sigma /cm2
Threshold1.148 eV
Ref
  • 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		 \[\sigma_{e}^{exc}\big(E\big) = \frac{5.984 \times 10^{-16}}{E} \Bigg[\frac{E- I}{E} \Bigg]^{A_6} \times \Bigg[ \sum_{j=1}^{4}\frac{A_j}{(E/I)^{j-1}} + A_5\ln\bigg( \frac{E}{I} \bigg) \Bigg]\]
Python 
def li_ein_schweinzer(E, A1, A2, A3, A4, A5, A6, I):
    """
    This function calculates electron 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
    """
    sigma = 5.984e-16/E * ((E-I)/E)**A6 * (A1/((E/I)**0) + A2/((E/I)**1) +  A3/((E/I)**2)
                    + A4/((E/I)**3) + A5*np.log(E/I))
    return sigma
Fit Precision2.0 %
Fit Coefficients 
A1
 8.434e+00
A2
-1.028e+01
A3
 0.000e+00
A4
 2.589e+01
A5
 1.903e+00
A6
 6.218e-01
I
 1.148e+00
x-range 1.148 –