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The magnetoelastic coupling in Ca$_{1.8}$Sr$_{0.2}$RuO$_4$ and inCa$_{1.5}$Sr$_{0.5}$RuO$_4$ has been studied combining high-resolutiondilatometer and diffraction techniques. Both compounds exhibit strong anomaliesin the thermal-expansion coefficient at zero and at high magnetic field as wellas an exceptionally large magnetostriction. All these structural effects, whichare strongest in Ca$_{1.8}$Sr$_{0.2}$RuO$_4$, point to a redistribution ofelectrons between the different $t_{2g}$ orbitals tuned by temperature andmagnetic field. The temperature and the field dependence of thethermal-expansion anomalies in Ca$_{1.8}$Sr$_{0.2}$RuO$_4$ yield evidence for acritical end-point lying close to the low-temperature metamagnetic transition;however, the expected scaling relations are not well fulfilled

Magnetoelastic Coupling Across the Metamagnetic Transition in Ca2-x Sr x RuO4 $${(0.2\leq x\leq 0.5)}$$