Magnetism dominates the structure and dynamics of the solar corona. Current
theories suggest that it may also be responsible for coronal heating. Desp
ite the importance of the magnetic field in the physics of the corona and d
espite the tremendous progress made recently in the remote sensing of solar
magnetic fields, reliable measurements of the coronal magnetic field stren
gth and orientation do not exist. This is largely due to the weakness of co
ronal magnetic fields, previously estimated to be on the order of 10 G, and
the difficulty associated with observing the extremely faint solar corona
emission. Using a very sensitive infrared spectropolarimeter to observe the
strong near-infrared coronal emission line Fe XIII lambda 10747 above acti
ve regions, we have succeeded in measuring the weak Stokes V circular polar
ization profiles resulting from the longitudinal Zeeman effect of the magne
tic field of the solar corona, From these measurements, we infer field stre
ngths of 10 and 33 G from two active regions at heights of h = 0.12 R-circl
e dot and h = 0.15 R-circle dot, respectively. We expect that this measurem
ent technique will allow, in the near future, the routine precise measureme
nt of the coronal magnetic field strength with application to many critical
problems in solar coronal physics.