The phase shifts leading to the broadening and shift of spectral lines

The classical theory of collisional broadening and shift parameters (β, δ) of an isolated spectral line was used to obtain simple analytical formulas for calculating both β and δ. These formulas were obtained on the assumption that the short range interaction is effective only in the broadening while the long range is effective in the shift of the spectral line. These parameters β and δ depend on the limiting phase shifts responsible for broadening η_b and shift ηδ. It was found that the values of η_b and η_δ are not equal to each other as was proposed by Weisskopf η_b=η_δ=1. The maximum and average values of η_b (η_b max, η_b av) and η_δ (η_δ max, η_δ av) were obtained by numerical evaluation, using different inverse power potentials. By introducing these parameters into the approximated formulas for β and δ using Van der Waals and Lennard-Jones potential, it was found that the results of calculations for (β and δ) with different atomic transitions perturbed by different inert gases are in close agreement with earlier results. Those results, obtained earlier, were based on the Lindholm-Foley theory especially with the average values of η_b [η_b av=0.6057] and the maximum values of η_δ [η_δ max=1.57625]. The impact parameters ρ_b and ρ_δ leading to the broadening and shift of the spectral line were also obtained for different interactions. It was found that the end parameter for the broadening ρ_b is not equal to the starting parameter for the shift ρ_δ.     

Simplified calculation of pressure shift and broadening of molecular lines

Gor'kii State University. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 33, No. 12, pp. 1349–1356, December, 1990     

Theoretical analysis of collisional shift and broadening of antiprotonic helium spectral lines

Effect of medium density on shift and broadening of ( ) spectral lines is considered in the framework of binary-collision approximation with an effective ( )–He potential including the long-range attraction and short-range repulsion. Quantum calculations of the scattering phase shifts at reasonable values of the potential parameters allow to explain the main features of the observed density effect on the shape of ( ) spectral lines in low-temperature helium. This revised version was published online in August 2006 with corrections to the Cover Date.     

Low pressure broadening and shift of the 2p 53p-2p 56s neon spectral lines

Natural radiative lifetimes in the perturbed 6s n s ¹ D ₂ (n=12?30) sequence of barium have been measured using the PUMOLS (PUlse-MOdulated Laser Spectroscopy) method, which incorporates pulse-modulation of a CW dye-laser beam and delayed coincidence techniques. Principal perturbers are the 5d 7d ³ F ₂ and¹ D ₂ states. Lifetimes were also measured for these shortlived valence states, which through configuration mixing cause drastic decreases in lifetime values in the region of perturbation of the 6s n d ¹ D ₂ sequence. Two-step laser excitation from the ground 6s ^{2 1} S ₀ state via the 6s 6p ¹ P ₁ state was employed. Special care was taken to determine the influence of black-body radiation transitions on the measured lifetimes.     

Calculations of impact broadening and shift of spectral lines for realistic interatomic potentials

We have studied theoretically the impact broadening and shift of the resonance doublets of Rb and Cs for the interatomic potential data of Baylis and Pascale, which were determined from ab initio calculations. We show that, without introducing any adjustable parameter, we obtain good agreement between theoretical and experimental values for both the P_1/2 and the P_3/2 component. In the latter case, the theoretical results are significantly modified when anisotropy of the interaction potential is taken into account.     

Stark broadening and shift of some isolated spectral lines of singly ionised earth alkaline metals

Using aZ pinch discharge as a plasma source the profiles and shifts of some prominent ion lines of earth alkaline metals were measured and compared with Stark broadening theories and other experimental results. An electron density of 3.1 to 10.3×10¹⁶ cm^?3 was determined by the laser interferometry, while the electron temperature in the range 25100 to 34800 °K were measured from relative intensities of spectral lines. Comparison of reported experimental shifts and widths with the theories both semi-classical and quantum mechanical shows good agreement. It was also found that Griem's semi-empirical formula is useful and accurate for line widths evaluation.     

Pressure broadening and shift of argon emission lines

Resonance and van der Waals broadening coefficients, as well as width to shift ratios, have been obtained by scanning argon emission lines produced in a high-pressure (～ 1 atm) glow discharge at a temperature of 1130°K. The resonance broadening coefficients yield absolute oscillator strengths of 0·283 ± 0·024 and 0·076 ± 0·008 for the two resonance lines at 1048 Å and 1067 Å. These oscillator strengths are in good agreement with previous measurements. The importance of higher-order terms in the van der Waals potential expansion is demonstrated by the measured coefficients.     

Stark broadening and shift of fluorine I lines

Stark widths and shifts of some prominent F I spectral lines have been determined experimentally in aZ-pinch plasma in dichlorodifluoromethane on a shot-to-shot basis. The electron density was determined by the laser interferometry while the electron temperature was measured from relative intensities of Cl II lines. Temperatures were in the range 19100–36200 °K; electron densities varied from 0.71 to 1.43×10¹⁷cm^?3. Measured F I linewidths and shifts are compared with theoretical results computed by Griem and it is shown that a) experimental widths are systematically smaller and the degree of discrepancy increases with temperature, b) line shifts are also smaller than theoretical with exception of multiplets 5 and 6 with the shifts of opposite sign than theoretically predicted, c) experimental shift-to-width ratios decrease with the temperature but less than theoretically expected. Attention is drawn in general, to the systematic discrepancy between experimental results for neutral atom lines and the theory. The magnitude of this disagreement is related to the relative position of the energy levels of spectral line to the ionisation limit.     

Stark broadening of Y III spectral lines

Using a semiclassical approach, we have considered electron-, proton-, and ionized helium-impact line width and shifts for 32 Y III multiplets. Published in Zhurnal Prikladnoi Spektroskopii, Vol. 65, No. 4, pp. 476–481, July–August, 1998.     

Stark broadening of ar VIII spectral lines

Using the semiclassical perturbation method, we consider, for nine Ar VIII transitions, widths and shifts of spectral lines that are due to collisions with electrons, protons, and ions of He III ut a perturbing particle density of 10¹⁸ cm⁻³ and temperatures between 200,000 and 3,000,000 K. Translated from Zhurnal Prikladnoi Spektroskopii, Vol. 67, No. 3, pp. 286–288, May–June, 2000.     

Quasi-static ion broadening of isolated spectral lines

A tabulation of theoretical profiles of isolated spectral lines broadened by quasi-static ions is presented. This calculation is based on the quasi-static ion theory of Griem. A greater frequency range and a larger number of ion-broadening parameters than published by Griem are employed to facilitate comparisions with experiments. Observations on the validity of asymptotic wing formulas are included.     

Calculation and analytical representation of self-pressure and air pressure broadening coefficients of ozone spectral lines

The coefficients γ of broadening by self-pressure, and pressure of nitrogen, oxygen, and air are calculated for absorption lines of the rotational band and for the ν₂ band of the ozone molecule for temperatures 296, 252, and 212 K. The calculations are performed by the semiclassical method using rectilinear and exact trajectories for interacting molecules. It is shown that the experimental data obtained for the two bands at T = 296 K can be reconstructed better using different isotropic intermolecular interaction potentials. The experimental and calculated broadening coefficients of ozone absorption lines for the rotational band and for the ν₂ and ν₁ + ν₃ vibrational bands were used to determine the parameters of an analytical model, which permits one to calculate γ in a wide range of rotational quantum numbers, 0 ≤ J ≤ 45, 0 ≤ K _a ≤ 20, and temperatures of 200–296 K.     

Correlations in the plasma broadening of ion spectral lines

The results of a kinetic theory of spectral line broadening are applied to Stark broadening of ion lines in a unified classical path theory, paralleling existing results for neutral radiators. In the small plasma parameter limit, the radiator-electron interactions are screened by equilibrium electron correlation functions and a frequency-dependent dielectric function.     

Density shift and broadening of transition lines in antiprotonic helium

The density shift and broadening of the transition lines of antiprotonic helium have been evaluated in the impact approximation using an interatomic potential calculated ab initio with the symmetry-adapted perturbation theory. The results help to remove an uncertainty of up to 10 ppm in the laser spectroscopy data on antiprotonic helium and are of importance in experimental tests of bound state QED and CPT invariance.     

On the quadrupole contributions to electron broadening of spectral lines

The quadrupole-quadrupole contribution to the electron-collision matrix is averaged over the directions of the impact parameters and velocities of the plasma electrons. The result is sufficiently general to cover such special cases as hydrogen, overlapping, isolated lines. Some errors in the published literature are corrected.     

Plasma shift and broadening of single hydrogen Balmer-α fine-structure lines

With high-resolution laser spectroscopy plasma effects of four single hydrogen Balmer-α fine structure transitions have been investigated in a HeH dc discharge. For charged-particle densities of 10⁸ to 10¹¹ cm^?3 the signs and magnitudes of shift and broadening can be explained with linear and quadratic Stark effect by treating both electrons and ions in impact approximation and by taking inelastic fine-structure transfer collisions into account. Contributions to the understanding of plasma effects and the application of the method for low-density plasma diagnostics are discussed.     

Change of integration variables in calculations of the coefficients of broadening and shift of spectral lines of molecules by the Robert-Bonamy method

The transformation of the integration domain upon passage from the variables impact distance-initial relative velocity to the variables closest approach distance-initial relative velocity in the Robert-Bonamy method for an arbitrary isotropic potential is considered. As an example, the result obtained is applied to the Lennard-Jones potential.