The clouds of the middle and upper troposphere are difficult to treat in models because of their variable optical properties. Based on extensive cirrus, altostratus, and altocumulus cloud remote sensing measurements and model simulations, we offer parameterizations of visible optical depth and infrared layer emittance as functions of both cloud temperature and vertical thickness to facilitate climate modeling research. We find significant differences in the emittance relations that depend on cloud phase, but quite similar optical depth versus emittance relations. In comparison to previous midlatitude cirrus results, our findings lead to lower atmospheric heating rates. ¿ 2001 American Geophysical Union