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We study the far infrared (60-500 $\mu$m) colours of late-type galaxies inthe $Herschel$ Reference Survey, a K-band selected, volume limited sample ofnearby galaxies. The far infrared colours are correlated with each other, withtighter correlations for the indices that are closer in wavelength. We alsocompare the different colour indices to various tracers of the physicalproperties of the target galaxies, such as the surface brightness of theionising and non-ionising stellar radiation, the dust attenuation and themetallicity. The emission properties of the cold dust dominating the farinfrared spectral domain are regulated by the properties of the interstellarradiation field. Consistent with that observed in nearby, resolved galaxies,our analysis shows that the ionising and the non-ionising stellar radiation,including that emitted by the most evolved, cold stars, both contribute to theheating of the cold dust component. This work also shows that metallicity isanother key parameter characterising the cold dust emission of normal,late-type galaxies. A single modified black body with a grain emissivity index$\beta$=1.5 better fits the observed SPIRE flux density ratios $S250/S350$ vs.$S350/S500$ than $\beta$=2, although values of $\beta$ $\simeq$ 2 are possiblein metal rich, high surface brightness galaxies. Values of $\beta$ $\lesssim$1.5 better represent metal poor, low surface brightness objects. Thisobservational evidence provides strong constraints for dust emission models ofnormal, late type galaxies.

FIR colours of nearby late-type galaxies in the Herschel Reference Survey