The effect of Zn 2ϩ ion impurities on the phase transition temperature of single crystals of calcium cadmium acetate hexahydrate ͑CCDAH͒ has been studied using the electron-paramagnetic-resonance technique. The lowering of the phase transition temperature as a function of increasing Zn 2ϩ impurity ion concentration in the crystals has been observed to be quite different from that found in our earlier studies of Cu 2ϩ and Mn 2ϩ ion doped crystals. Though the observed lowering of phase transition temperature with atomic fraction x of the Zn 2ϩ impurity ion can be explained fairly well in terms of mean-field theory and a soft mode arising out of the harmonic vibration of the Ca-Cd (1Ϫx) Zn x -Ca chain along the c axis of the crystal, contrary to expectation, values of constants ͑such as the ratio of the square of the soft-mode frequency before transition, the mean-field constant, and the phase transition temperature, etc. of the pure crystal͒ are quite different from that obtained by fitting the phase transition temperatures in the Cu 2ϩ ion only impurity doped crystals. The temperature variation of the spin-Hamiltonian parameters of the Cu 2ϩ ion probe in the Zn 2ϩ -doped crystal of CCDAH is somewhat different from that in the Cu 2ϩ ion only doped crystal. Deviation from mean-field theory is then considered in the Zn 2ϩ impurity driven modification of phase transition of the crystal and good agreement between the observed and computed values of phase transition temperature as a function of the Zn 2ϩ atomic fraction has been obtained using the same values of the said constants as obtained for Cu 2ϩ ion only impurity doped crystals.