On the surface treatment of quark matter and quark stars Xia, Chengjun The interface effects of quark matter plays an important role in the properties of compact stars and small nuggets such as strangelets and udQM nuggets. By introducing a density derivative term to the Lagrangian density and adopting the Thomas-Fermi approximation, it is possible to reproduce the results obtained by solving Dirac equations. We then investigate the properties of strangelets and udQM nuggets, and discuss the possible existence of a crust made of udQM nuggets in quark stars. The obtained properties of quark stars are then compared with the recent pulsar observations.