Potential energy and spectroscopic constants for the X2∑μ+ ground state of a;, were calculated by configuration-interaction (Cl) methods, using large basis sets with polarization and diffuse functions. From these CI wavefunctions, the isotropic (aiso) and dipolar (Adip) components of the hyperfine coupling constant were obtained. The effects of various s, p basis sets, polarization and diffuse functions, as well as the influence of reference configurations and configuration selection thresholds were investigated. The best values obtained are 35·31 G for aiso and 29·440 for Adip• tobe compared with experimental values of 37 ± 1 G and 32 ± 1 G, respectively. It is shown that the contributions to a1so of the K and L shells are opposite in sign, differing by about 4 G. Upon vibrational averaging, both aiso and Adip move towards smaller values as v increases. An adiabatic electron affinity of 2·46eV was obtained for CL2 , and a vertical electron detachment energy of 3·71 eV for Cl;