ABSTRACT Samples of optical semiregular variables (SRV's) of types SRa and SRb are correlated with the IRAS point source catalog. We extract bolometrically limited subsamples containing 352 objects in total. New near infrared photometry and data from the literature leads to complete energy distributions for 260 stars. On the basis of optical and IRAS low-resolution spectra we separate the samples into groups of defined chemistry, in particular C- and O-rich stars. The pulsational properties, visual and infrared colours, derived effective temperatures, mass loss rates, luminosities, scale heights and volume densities in the galactic plane of our subsamples are compared with corresponding characteristics of optical Miras. Moreover, it is possible to fit two blackbodies to most of the objects using visual and new near infrared photometry as well as mid and far infrared IRAS data. The resulting temperatures and other fit parameters support the findings gathered from the previous investigation. The results concerning variability and chemistry can be summarised as follows: (i) The SRa's are not a distinct class of variables but a mixture of 'intrinsic' Miras and SRb's. (ii)~The O-rich SRb's form a homogeneous group in terms of periods, amplitudes and temperatures. They consist of a 'blue' group with no indication of circumstellar matter, P < 150d and Teff > 3200 K and a 'red' group with temperatures and mass loss rates comparable to those of Miras but with periods a factor of 2 smaller. Scale heights and number densities are similar for 'red' SRV's and Miras. 'Blue' SRV's are about twice as numerous as the 'red' ones, half as luminous and without C-rich stars. (iii) The C-rich SRV's generally have smaller periods and are more abundant than C-rich Miras but their scale heights closely agree. (iv) Among all groups there are stars with much longer periods than expected from their temperatures and mass loss rates. This may be due to observational effects, irregular light curves or multiple periods. (v) A new classification scheme for O-rich SRV's and Miras in the groups 'blue' SRV's, 'red' SRV's and true Miras is proposed using period, amplitude and colours. The evolutionary status of the SRV's is discussed. On the basis of temperatures, luminosities, mass loss and number densities, the 'blue' SRV's appear to be on the non thermally pulsing AGB. One of the interpretations for O-rich 'red' SRV's is in terms of a phase preceding the Mira phase, with similar life times. The C-rich SRV's may show more variety in their pulsational characteristics.
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