CollisionDB: DataSet D107509

$H^{+} + Li 4 s \to Li 4 d + H^{+}$

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.

Method	semi-empirical
Frame	Target
Columns	E /eV u^-1 sigma /cm²
Threshold	0.199 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]
Data	Download (data from fit)

Fitted Data

Fit Function
Details

\begin{aligned} σ_{p}^{e x c} (E_{p}) = σ_{e}^{e x c} (E_{e}) = \frac{5.984 \times 10^{- 16}}{E} [\frac{E - I}{E}]^{A_{6}} [\sum_{j = 1}^{4} \frac{A_{j}}{(E / I)^{j - 1}} + A_{5} \ln (\frac{E}{I})] \\ E_{p} (k e V / a m u) = 0.918 E_{e} (e V) [1 - \frac{d E (e V)}{1.15 E_{e} (e V)} + \sqrt{(1 - \frac{d E (e V)}{E_{e} (e V)})}] \end{aligned}

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 Precision

2.0 %

Fit Coefficients

A1	3.846e+02
A2	-4.898e+02
A3	3.829e+02
A4	0.000e+00
A5	0.000e+00
A6	5.176e-01
I	1.990e-01

x-range

0.02382808888138939 –

DataSet D107509

H++Li4s→Li4d+H+

Fitted Data

$H^{+} + Li 4 s \to Li 4 d + H^{+}$