Forbidden Ni II and Fe II emission in a sample of H II regions, circum
stellar nebulae, Seyfert galaxies, and supernova remnants is studied u
sing new atomic data. Electron densities and temperatures determined w
ith [Ni II], [Fe II], and [O I] indicate considerably different condit
ions than those obtained with line ratios of other species. Strong [Fe
II] to [O I] and [Fe II] to [Ni II] correlations can be established.
Models of electron impact excitation and fluorescence excitation by UV
continuum of [Ni II] and [Fe II] lines show that fluorescence of [Fe
II] lines may not be important, thus constraining the dominant emittin
g region to the high-density partially ionized zones, while for [Ni II
] lines fluorescence excitation from low-density fully ionized zones i
n the Orion nebula and circumstellar nebulae could extend the emitting
region over that of [Fe II]. Fluorescence excitation of these lines i
n supernova remnants seems unimportant. Abundance ratios Fe/O and Ni/F
e are estimated for Orion and some supernova remnants. It is found tha
t the Fe/O ratios in all cases are within a factor of 2 of the solar v
alue. The Ni/Fe ratio in supernova remnants seems to be considerably g
reater than solar.