The Heisenberg antiferromagnet is a well-known model used to describe the magnetic properties of layered and metal-organic Mott insulators which have been explored both experimentally and theoretically. Recent interest has focused on the static and dynamic studies of CFTD - an almost ideal realisation of a 2D Heisenberg antiferromagnet (AFM) on a square lattice. The excitation spectrum of this system was understood in terms of unbinding of spin-waves into spinon pairs at Q = (pi, 0) position. In this proposal we aim to investigate the inelastic spectrum of a closely related Ba2342 spin-1/2 square-lattice framework which consists of coupled AFM spin systems as a testing ground of the new theoretical model.