After recognizing the occurrence of heavy electrons in metals at low temperatures it was found that they may undergotransitions to a superconducting state. Details of one of these materials, UBe13 are shown and discussed. A comparison of experimental data of the specific heat and theoretical calculations suggests that the superconducting state is the electronic analogue of the A phase of superfluid 3He. The influence of impurities on the superconducting state of UBe13 and properties of similar compounds which are not superconductors but order magnetically instead support these ideas. © 1984 Elsevier Science Publishers B.V.