The properties of the bright and energetic Type Ic SN 1997ef are investigat
ed using a Monte Carlo spectrum synthesis code. Analysis of the earliest sp
ectra is used to determine the time of outburst. The changing features of t
he spectrum and the light curve are used to probe the ejecta and to determi
ne their composition, verifying the results of explosion calculations. Sinc
e synthetic spectra computed using our best explosion model, CO100, are onl
y moderately good reproductions of the observations, the inverse approach i
s adopted, and a density structure is derived by demanding that it gives th
e best possible fit to the observed spectrum at every epoch analyzed. It is
found that the density structure of model CO100 is adequate at intermediat
e velocities (5000-25,000 km s(-1)), but that a slower density decline (rho
proportional to r(-4)) is required to obtain the extensive line blending a
t high velocities (25,000-50,000 km s(-1)) that is the characterizing featu
re of this and other energetic Type Ic Supernovae. Also, the inner "hole" i
n the density predicted by the model is found not to be compatible with the
observed evolution of the spectrum, which reaches very low photospheric ve
locities at epochs of about 2 months. The "best-fit" in the density distrib
ution results in somewhat different parameters for the SN, namely an ejecta
mass of 9.6 M-. (vs. 7.6 M-. in CO100) and an explosion kinetic energy of
1.75 x 10(52) ergs (vs. 8 x 10(51) ergs in CO100). This revised value of th
e kinetic energy brings SN 1997ef closer to the value for the "prototypical
" Type Ic hypernova SN 1998bw. The abundance distribution of model CO100 is
found to hold well. The modified density structure is used to compute a sy
nthetic light curve, which is found to agree very well with the observed bo
lometric light curve around maximum. The amount of radioactive Ni-56 produc
ed by the SN is confirmed at 0.13 M-.. In the context of an axisymmetric ex
plosion, a somewhat smaller kinetic energy than that of SN 1998bw may have
resulted from the nonalignment of the symmetry axis of the SN and the line
of sight. This might also explain the lack of evidence for a gamma-ray burs
t correlated with SN 1997ef.