The contraction of the (12s9p) primitive basis sets of Veillard for the second row atoms is investigated. Contracted [7s], [6s], [5p], and [4p] basis sets are proposed. The [6s4p] contracted set gives a hartree-fock energy of -459.470g au for the ground state of the chlorine atom. This is a substantial improvement over results previously reported for contracted gaussian basis sets, even those obtained with much larger primitive sets.