DataSet D107552

\[\mathrm{H}^{+} + \mathrm{Na} \; 3d \rightarrow \mathrm{H}^{+} + \mathrm{Na} \; 4f\]

Process HEX: Excitation
Data type cross section | uploaded on 2022-11-11
Comment Fit based on equation (7), with modified fit parameters to match fit in Graph 52 of Igensberg et al. The cross-section was attribited 10% reltive error based on experience featured in Schweinzer et al. ADNDT 72 239 1999.
MethodAOCC: Atomic‐orbital close‐coupling
FrameTarget
Columns
  1. E /eV u-1
  2. sigma /cm2
Threshold0.672 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		 \[\sigma_{p}^{hex, Na}(E) = 10^{-16} A_1 \Bigg[ \frac{e^{-\frac{A_2}{E}} \big(A_{12} + \ln(A_{11} + A_3E)\big)}{E} + A_4\frac{e^{-A_5E}}{(A_{13}E)^{A_6}} + A_7\frac{e^{-\frac{A_8}{E}}}{1 + (A_9E)^{A_{10}}} \Bigg]\]
Python 
def na_hex(E, A1, A2, A3, A4, A5, A6, A7, A8, A9, A10, A11, A12, A13):
    """
    This function calculates proton impact excitation cross sections (in cm2) of 
    Na 3s to 5s.
    param E: requested electron-impact energy in keV/u
    type E: float, np.ndarray
    param Ai: fit coefficient 
    type Ai: float
    """
    sigma =  A1*1e-16*((np.exp(-A2/E) * (A12 + np.log(A11 + A3*E)))/E + 
                       A4*np.exp(-A5*E)/(A13*E)**A6 + A7*np.exp(-A8/E)/(1 + (A9*E)**A10))
    return sigma
Fit Coefficients 
A1
 8.866e+00
A2
 1.203e+01
A3
 1.260e+00
A4
-1.741e+00
A5
 9.600e-02
A6
-1.041e+00
A7
 7.839e+00
A8
 3.032e-01
A9
 1.786e-02
A10
 7.881e-01
A11
 1.001e+00
A12
 5.252e+02
A13
 1.000e+00
x-range 0.2 –