  Ground state properties of neutron rich even-even Be and C nuclei have been
investigated using Relativistic Mean Field approach in co-ordinate space. The
positions of the neutron drip line are correctly predicted for both the
elements. The nucleus $^{14}$Be shows a two neutron halo but, contrary to
expectation, $^{22}$C does not exhibit any halo structure. In carbon nuclei,
N=16 comes out as a new magic number. The single particle level ordering
observed in stable nuclei is found to be modified in neutron rich Be isotopes.
Elastic partial scattering cross sections for proton scattering in inverse
kinematics have been calculated using the theoretically obtained densities for
some of the nuclei and compared with available experimental data. The total
cross cross sections for elastic scattering have also been calculated for all
the nuclei studied showing a large increase for the halo nucleus $^{14}$Be. The
nuclei have also been investigated for deformation. The nuclei $^{10}$Be and
$^{16,18,20}$C are observed to be deformed in their ground state.
