The adsorption of zirconium on the (110), (112), (100), (111) and (310) planes of tungsten field emitter substrates has been studied. Work function against coverage measurements have been made and the dipole moment and effective adsorbate polarizability determined for (100) adsorption. Comparison is made with contact potential difference measurements. As for uranium adsorption, the modified Topping point dipole depolarization model is found to be inadequate in describing adsorption on the (100) plane.