  We investigate the structure of the neutron rich nucleus ^{19}C through
studies of its breakup in the Coulomb field of target nuclei. The breakup
amplitude is calculated within an adiabatic treatment of the projectile
excitation, which allows the use of the realistic wave functions for the
relative motion between the fragments in the ground state of the projectile.
The angular distribution of the center of mass of ^{19}C, longitudinal momentum
distribution of ^{18}C and relative energy spectrum of the fragments (neutron -
^{18}C) following the breakup of ^{19}C on heavy targets at beam energies below
100 MeV/nucleon have been computed using different configurations for the
ground state wave function of ^{19}C. In all the cases, the data seem to favor
a ^{18}C(0$^+)\otimes1s_{1/2}$ configuration for the ground state of ^{19}C,
with the one-neutron separation energy of 0.53 MeV.
