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We present the first classification of SOT/SP circular polarizationmeasurements with the aim of highlighting exhaustively the whole variety ofStokes V shapes emerging from the quiet Sun. k-means is used to classify HINODESOT/SP Stokes V profiles observed in the quiet Sun network and internetwork(IN). We analyze a 302 x 162 square arcsec field-of-view (FOV) which can beconsidered a complete sample of quiet Sun measurements performed at at the diskcenter with 0.32 arcsec angular resolution and 0.001 polarimetric sensitivity.Such a classification allows us to divide the whole dataset in classes, witheach class represented by a cluster profile, i.e., the average of the profilesin the class. The set of 35 cluster profiles derived from the analysiscompletely characterizes SOT/SP quiet Sun measurements. The separation betweennetwork and IN profile shapes is evident - classes in the network are notpresent in the IN, and vice versa. Asymmetric profiles are approximatively 93 %of the total number of profiles. Among these, approximatively 34 % of theprofiles are strongly asymmetric profiles, and they can be divided in threefamilies: blue-lobe, red-lobe, and Q-like profiles. The blue-lobe profiles tendto be associated with upflows (granules), whereas the red-lobe and Q-like onesappear in downflows (intergranular lanes). Such profiles need to be interpretedconsidering model atmospheres different from a uniformly magnetizedMilne-Eddington (ME) atmosphere, i.e., characterized by gradients and/ordiscontinuities in the magnetic field and velocity along the line-of-sight(LOS).

Asymmetries of the Stokes V profiles observed by HINODE SOT/SP in the quiet Sun