This is our second paper devoted to the problem of line intensity - oxygen
abundance calibration starting from the idea of McGaugh (1991) that the str
ong oxygen lines ([OII]lambda lambda 3727, 3729 and [OIII]lambda lambda 495
9, 5007) contain the necessary information to determine accurate abundances
in HII regions. In the previous study (Pilyugin 2000) the corresponding re
lations were obtained for the low-metallicity HII regions (12 + log O/H les
s than or equal to 7.95, the lower branch of the O/H - R-23 diagram). The h
igh-metallicity HII regions (12 + log O/H greater than or equal to 8.2, the
upper branch of the O/H - R-23 diagram) are considered in the present stud
y. A relation of the type O/H = f(P, R-23) between oxygen abundance and the
value of abundance index R-23, introduced by Pagel et al. (1979), and the
excitation parameter P (which is defined here as the contribution of the ra
diation in [OIII]lambda lambda 4959, 5007 lines to the "total" oxygen radia
tion) has been derived empirically using the available oxygen abundances de
termined via measurement of a temperature-sensitive line ratio [OIII]-4959,
5007/[OIII]4363 (T-e-method). By comparing oxygen abundances in high-metall
icity HII regions derived with the T-e-method and those derived with the su
ggested relations (P-method), it was found that the precision of oxygen abu
ndance determination with the P-method is around 0.1 dex (the mean differen
ce for the 38 HII regions considered is similar to0.08 dex) and is comparab
le to that of the T-e-method. A relation of the type T-e = f(P, R-23) betwe
en electron temperatures and the values of abundance index R-23 and the exc
itation parameter P was derived empirically using the available electron te
mperatures determined via measurement of temperature-sensitive line ratios.
The maximum value of differences between electron temperatures determined
via measurement of temperature-sensitive line ratios and those derived with
the suggested relation is around 1000 K for HII regions considered here, t
he mean value of differences for 38 HII regions is similar to 500 K, which
is the same order of magnitude as the uncertainties of electron temperature
determinations in high-metallicity HII regions via measured temperature-se
nsitive line ratios.