This paper presents detailed comparisons between numerical simulations of F
e II emission spectra and recent high-resolution and signal-to-noise spectr
a of the Orion Nebula. We have identified 40 [Fe II] lines in the spectrum,
allowing extensive comparisons between theory and observations. The identi
fications are based on predictions of a realistic model of the Fe II atom,
which includes the lowest 371 levels (all levels up to 11.6 eV). We investi
gate the dependence of the spectrum on electron density and on pumping by t
he stellar continuum. Orion is important because it provides a relatively s
imple environment in which to test complex simulations. We have identified
the pumping routes that are responsible for the observed emission. Our theo
retical model of Fe II emission is in good agreement with the observational
data.