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States and their depopulating E0 and E2 transitions have been studied in exp 112 , exp 114 , exp 116 , exp 118 , exp 120 , exp 122 , exp 124 Sn. Several methods of gamma -ray and electron spectrometry have been employed, including special coincidence techniques for lifetime, conversion electron and double Coulomb excitation measurements. For exp 114-118 Sn the E2 transition probabilities from the first excited 0 exp + states (0 sub 2+ ) are about 20 W.u., which is compatible with a vibrational two-phonon character. Also the E0 transition probabilities from these states are within a factor of two from the vibrational values. For the second excited 0 exp + states (0 sub 3+ ) the corresponding E2 and E0 transition probabilities are considerably smaller. A total of 12 E0 transitions have been observed. The 0 sub 3+ implies 0 sub 2+ transition is observed in exp 114 - exp 120 Sn and has in exp 116 Sn a a reduced transition probability 1-2 orders of magnitude larger than those of the ground state E0 transitions, which indicates that the 0 sub 3+ and 0 sub 2+ states are strong mixtures of components with different < r exp 2 >. (Atomindex citation 11:554375)