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Discontinuities in elastic constants are detected at the superconductingtransition of layered organic conductors \kappa-(BEDT-TTF)_{2}X by longitudinaland transverse ultrasonic velocity measurements. Symmetry arguments show thatdiscontinuities in shear elastic constants can be explained in the orthorhombiccompound only if the superconducting order parameter has a mixed character thatcan be of two types, either A_{1g}+B_{1g} or B_{2g}+B_{3g} in theclassification of irreducible representations of the orthorhombic point groupD_{2h}. Consistency with other measurements suggests that the A_{1g}+B_{1g}(d_{xy}+d_{z(x+y)}) possibility is realized. Such clear symmetry-imposedsignatures of mixed order parameters have not been observed in othersuperconducting compounds.

Mixed pairing symmetry in \kappa-(BEDT-TTF)_2 X organic superconductors from ultrasonic velocity measurements