In this work are considered nonadiabatic matrices which were not derived from first principles. For this type of nonadiabatic matrices we derived the conditions for such an N x N matrix to yield an N x N diabatic potential matrix which is continuous throughout configuration space. It is shown that these conditions are very close to being quantization type conditions which select from all possible matrices only a certain group. The final theoretical results are supported by examples (a) for the N = 2 case and (b) for the N = 3 case.