The clear detection with CoRoT and KEPLER of radial and non-radial solar-likeoscillations in many red giants paves the way to seismic inferences on thestructure of such stars. We present an overview of the properties of theadiabatic frequencies and frequency separations of radial and non-radialoscillation modes, highlighting how their detection allows a deeper insightinto the properties of the internal structure of red giants. In our study weconsider models of red giants in different evolutionary stages, as well as ofdifferent masses and chemical composition. We describe how the large and smallseparations computed with radial modes and with non-radial modes mostly trappedin the envelope depend on the stellar global parameters and evolutionary state,and we compare our theoretical predictions and first KEPLER data.Finally, wefind that the properties of dipole modes constitute a promising seismicdiagnostic of the evolutionary state of red-giant stars.
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