Elastic constant and thermal expansion data for a high quality single
crystal of CeCu2Si2 are presented. The data yield a detailed B-T phase
diagram exhibiting a previously unknown high-field phase. From the un
usual behavior of the elastic constants and the thermal expansion on e
ntering the superconducting phase we deduce that, in contrast to other
heavy-fermion superconductors, the superconducting phase of CeCU2Si2
does not coexist with the surrounding phase.