Quasimolecular Absorption Of Xe+He And Kr+He Collision Pairs

Quasimolecular emission near the Xe(5p56s1,3P1– 5p6 1S0) and Kr (4p55s1,3P1– 4p6 1S0) resonance lines induced by collisions with He atoms

“…Previously, these potential curves have been already applied for the calculations of absorption spectra of Xe + He and Kr + He mixtures and the results obtained are in good agreement with the experimental data [4]. For the ground states the potential curves determined from the experimental data in [5] have been used.…”

Radiative transitions in quasi-molecules

“…Among the last examples of calculating profiles of these transitions, we should mention the results reported in [13] for Cd-Ar,Kr quasi-molecules and in [14] for inert gases.…”

“…The main characteristic of the electron transition from a bound state to a continuous-spectrum state is the oscillator-strength density, (11) which (e.g., for stable molecules) is directly related to the detachment or ionization cross section, (13) and the free-electron wave functions ψ c are normalized on the δ function of energy. In the problem under consideration, there are two bound states of different symmetries and two continua of states of the continuous spectrum, also of different symmetries.…”

“…The symmetry of quasimolecular functions in (13) takes into account the symmetry of the ion functions:…”

“…Substitution of (14) into (13) leads to the following formulas for the matrix element of the bound-free transitions between the quasi-molecular states g and u: (15) where functions φ b,c are centered at the origin of coordinates, and the factor 1/2 takes into account the existence of two initial and two final states of different symmetries. To calculate the matrix elements in (15), we will use again the model of small-radius potential: (16) then (17) (18) and…”