The iron K alpha fluorescent line detected in many Seyfert 1 galaxies by AS
CA and BeppoSAX is usually considered to arise in the innermost region of a
n accretion disk around a supermassive black hole. The line profile is usua
lly modelled by assuming that the disk emissivity follows a power law, epsi
lon(R)proportional to R-q. We present a new technique to invert the line pr
ofile and infer: (a) the free-format epsilon(R), (b) the disk inclination t
o the line of sight and (c) the black hole angular momentum. The applicatio
n of this technique to published K alpha data shows that the line shapes ar
e consistent with the accretion disk model and that the major contribution
to the emissivity comes from the innermost disk regions. We also show that
a sharp distinction between different black hole angular momenta can usuall
y not be made on the basis of present data. (C) 2000 Elsevier Science B.V.
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