Supernova remnants may exhibit both thermal and nonthermal X-ray emission.
Such remnants can be distinguished by the weakness of their X-ray lines bec
ause of the presence of a strong nonthermal X-ray continuum. RCW 86 is a re
mnant with weak lines, resulting in low and peculiar abundances when therma
l models alone are used to interpret its X-ray spectrum. This indicates the
presence of a strong nonthermal synchrotron continuum. We analyze ASCA X-r
ay spectra of RCW 86 with the help of both nonequilibrium ionization therma
l models and nonthermal synchrotron models. A two-temperature thermal model
and a simple nonthermal model with an exponential cutoff (plus interstella
r absorption) give reasonable results. We obtain a blast-wave velocity of 8
00 km s(-1), a shock ionization age of 1x10(11)-3x10(11) cm(-3) s, and the
break in nonthermal spectra at 2x10(16)-4x10(16) Hz. The strength of the no
nthermal continuum correlates well with the radio brightness in the bright
southwest section of the remnant. This is convincing evidence for X-ray syn
chrotron emission in RCW 86.