Str{\"o}mgren Color-Temperature Relations for Cool Stars

A new extensive grid of synthetic Str{\"o}mgren colors and bolometric corrections is presented for F-M type dwarf and giant stars having 3000K $\leq$ T$_{\rm{eff}}$ $\leq$ 8000K, 0.0 $\leq$ log $g$ $\leq$ 5.0, and -3.0 $\leq$ [Fe/H] $\leq$ 0.5. These purely theoretical colors are placed on the observational system using color calibrations derived from $uvby$ photometry of nearby field stars having $Hipparcos$ parallaxes and effective temperatures determined by the infrared flux method. Modern isochrones transformed to the observed plane using the resultant color-temperature relations are able to reproduce the $uvby$ color-magnitude diagrams of several open and globular clusters (notably M 67, M 92, and 47 Tuc) quite satisfactorily.