Recent R-matrix calculations of electron impact excitation rates in K V are used to derive the nebular emission line ratio R ؍ I(4122.6 Å)͞I(4163.3 Å) as a function of electron density (Ne). This ratio is found to be very sensitive to changes in Ne over the density range 10 3 to 10 6 cm ؊3 , but does not vary significantly with electron temperature, and hence in principle should provide an excellent optical Ne diagnostic for the high-excitation zones of nebulae. D 5/2 lines, which can provide an excellent electron density (N e ) diagnostic for the emitting plasma by means of their intensity ratio (3). However, to calculate reliable theoretical line ratios, accurate atomic data must be used, especially for electron impact excitation rates (4).Previously, we have derived theoretical ratios for P-like [S II] (5), [Cl III] (6), and [Ar IV] (7) applicable to the spectra of gaseous nebulae, by using electron impact excitation rates calculated with the R-matrix code (8). Very recently, Wilson and Bell (9) have extended this work by performing R-matrix calculations for P-like K V, which are a significant improvement over the earlier results of Butler et al. (10), because of the inclusion of more levels and the delineation of additional resonances in the collision cross sections (see ref. 9 for more details).In this paper we use the Wilson and Bell (9) atomic data for K V to derive density-sensitive line ratios for this ion involving the nebular transitions at 4122.6 Å and 4163.3 Å. These data are subsequently compared with high-resolution optical observations to investigate the usefulness of the [K V] line ratio as a density diagnostic. We note that the [K V] nebular ratio is potentially a very important density indicator. As the [K V] lines arise in a region where K IV is ionized, and the ionization potential (IP) of this species is 60.9 eV (1 eV ϭ 1.602 ϫ 10 Ϫ19 J), the [K V] emission zone will lie in a very high-excitation part of a nebula. Most density diagnostic line ratios for highexcitation regions of nebulae lie at UV or infrared wavelengths, such as those for [Ne IV] (11) and [O IV] (12). Some highexcitation species, including Fe VII and Ar IV, have emission lines in the optical, but their intensity ratios are sensitive to both density and temperature (7, 13). Hence, if reliable values of N e could be derived from [K V], this would mean that densities could be determined for the high-excitation zones of nebulae on the basis of optical observations alone.
Adopted Atomic Data and Theoretical Line RatiosThe model ion for K V consisted of the three LS states within the 3s 2 3p 3 ground configuration, namely 4 S, 2 D, and 2 P, making a total of five fine-structure levels. Energies of all these levels were taken from Sugar and Corliss (14). Test calculations, including the higher-lying 3s3p 4 terms, were found to have a negligible effect on the 3s 2 3p 3 level populations at the electron temperatures and densities typical of gaseous nebulae, and hence these states were not included in the analysis.Electron impact...