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The recoil-isomer tagging technique has been used to study the isomeric states of nuclei in the vicinity of the N=50 shell closure. The nuclei of interest were separated from the projectilelike nuclei and other evaporation residues and transported to the focal plane of a recoil separator. The decay of the tagged isomer was studied at the focal plane using a high-purity Ge detector. The prompt transitions feeding the isomer were detected in an array of Clover Ge detectors placed around the target. The measured half-lives of the 8{sup +} isomers in {sup 88}Zr and {sup 90}Mo are 1.41{sub (-0.09)}{sup (+0.12)} {mu}s and 1.17{sub (-0.07)}{sup (+0.19)} {mu}s, respectively. The corresponding transition probabilities are in reasonable agreement with the predictions of shell model calculations. The systematics of effective charges (e{sub p} and e{sub n}) for N=48 nuclei are qualitatively understood in these calculations.