R. Gruenwald et Sm. Viegas, ARE HE AND N ABUNDANCES IN TYPE-I PLANETARY-NEBULAE AS HIGH AS EMPIRICALLY DERIVED, The Astrophysical journal, 501(1), 1998, pp. 221-227
Type I planetary nebulae (PNs) are defined as those with high He and N
abundances. These objects present in general bipolar geometries and h
ave high stellar temperatures. In this paper we analyze the empirical
methods for abundance determination in order to check if the He and N
overabundances in type I PNs are a consequence of a geometrical effect
due to the bipolarity or the ionization stratification due to the ste
llar temperature. For this, we obtain simulated, spherically symmetric
al nebulae, as well as bipolar nebulae, using a three-dimensional phot
oionization code. From the projected emission line intensities for (a)
the whole nebula, (b) for a slit crossing the nebula, as well as (c)
for different positions in the nebula, we applied the formulae used in
the literature to obtain empirical abundances. These empirical abunda
nces are then compared with the adopted ones. We show that empirical a
bundances depend on the particular line of sight covered by the observ
ation and can simulate an overabundance and/or the presence of abundan
ce gradients of He and N in planetary nebulae with high stellar temper
ature. The geometrical effects are also discussed. Systematic errors i
n abundance determinations by empirical methods are higher for the N/H
ratio than for N/O. Thus, it seems better to use the N/O value when d
iscussing N-rich objects.