DataSet D107538

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

Process EEX: Excitation
Data type cross section | uploaded on 2022-11-11
Comment Fit based on equation (1).The cross-section was attribited 10% reltive error based on experience featured in Schweinzer et al. ADNDT 72 239 1999.
MethodCCC: Convergent close-coupling
Columns
  1. E /eV
  2. sigma /cm2
Threshold3.200 eV
Uncertainty10 %
Ref
  • B47: K. Igenbergs, J. Schweinzer, I. Bray, D. Bridi, F. Aumayr, "Database for inelastic collisions of sodium atoms with electrons, protons, and multiply charged ions ", Atomic Data and Nuclear Data Tables 94, 981-1014 (2008). [10.1016/j.adt.2008.06.001]
DataDownload (data from fit)

Fitted Data

Fit Function
Details		 \[\sigma_{e}^{exc, Na} (E) = \frac{10^{-16}A_7}{E} \Bigg[\frac{E - \Delta E}{E} \Bigg]^{A_6} \Bigg[A_5 \ln\bigg( \frac{E}{\Delta E} \bigg) + \sum_{j=1}^{4} A_j \bigg( \frac{E}{\Delta E} \bigg) ^{-(j-1)} \Bigg]\]
Python 
def na_eex(E, A1, A2, A3, A4, A5, A6, A7, I):
    """
    This function calculates electron impact excitation cross sections (in cm2) of 
    Na from [3s ... 4f] to [3p ... 5s]
    param E: requested electron-impact energy in eV
    type E: float, np.ndarray
    param Ai: fit coefficient 
    type Ai: float
    param I: ionization energy in eV
    type I: float
    """
    sigma =  (A7*1e-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 Coefficients 
A1
 2.511e+00
A2
-1.085e+01
A3
 2.131e+01
A4
-1.325e+01
A5
 0.000e+00
A6
 5.800e-01
A7
 1.133e+01
I
 3.200e+00
x-range 3.33 –