Measurements of the relative thick-target yields of $\gamma$ rays deexciting the 2+ first excited states in ${}_{}{}^{112,116,118,120,122,124}{}_{}{}^{}\mathrm{Sn}$, following Coulomb excitation by $\alpha$ particles and ${}_{}{}^{16}{}_{}{}^{}\mathrm{O}$ ions, have been interpreted in terms of the relative static quadrupole moments of these states. The absolute static quadrupole moment of the 2+ state in ${}_{}{}^{120}{}_{}{}^{}\mathrm{Sn}$ was determined to be +(0.09 ± 0.10) b. With this value it was then possible to obtain the absolute static quadrupole moments for the 2+ state in the other even tin nuclei. The resulting values are closer to the vibrational-model prediction (static quadrupole moment of zero) than to values predicted by the rotational model. A set of absolute $B(E2,0\mathrm{}\to 2)$ values was also obtained with assigned errors between 2 and 3%.

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