The tandem accelerator was determined to be suitable for accelerator mass spectrometry. Isotope ratios below 10^-15 could be determined, and applications were stimulated on numerous fields of research. Carbon-14 dating in particular would become an important application because smaller samples could be employed, and more complex dating problems could be attacked. The accuracy reached at that time needed to be improved to match that obtained with the conventional method of counting decays. Such a high accuracy could be reached in facilities especially dedicated to dating. The limitations of the existing facility were evaluated; a proposal for updating the facility is described with an operational date of spring of 1983 scheduled. -- AATA