Models of Interstellar Dust: Optical Extinction and Infrared Emission B. T. Draine Princeton University Most of the atoms of elements like Si and Fe in the interstellar medium are incorporated into dust grains that absorb and scatter light, much to the annoyance of some astronomers. This dust plays an important role in interstellar gas dynamics, heating and cooling of the gas, chemistry, and even ionization balance in predominantly neutral regions. It is therefore very important to try to figure out what it is! Interstellar dust modellers have historically focussed on reproducing the observed wavelength-dependent extinction, and this by itself provides strong constraints on models. Observations with Spitzer Space Telescope are allowing new tests for models for interstellar dust. In particular, we can now ask whether our models of interstellar dust, heated by starlight, produce infrared emission with the spectral energy distribution measured by Spitzer. The emission features attributed to polycyclic aromatic hydrocarbons are present in the emission from other galaxies; we can now estimate the PAH abundances in other galaxies, and compare with what we estimate for the Milky Way.