Superconductivity was recently discovered in alpha-phase FeSex with a Tc of 8 K. Selenium can be replaced with Tellurium (FeSe1-xTex) and this results in an increase in Tc to 15 K for x=0.5. A previous µSR study on a polycrystalline sample of FeTe0.5Se0.5 using MuSR has shown that the temperature dependence of the magnetic penetration depth is compatible with either a two gap s+s wave or an anisotropic s-wave model. There is growing evidence that the superconducting properties of these materials are anisotropic; in addition it is also well known that the presence of impurities can sometimes mask the true nature of the superconducting gap. We have synthesized high quality single crystals of superconducting FeSe1-xTex. We propose to study the superconducting properties of these samples using µSR spectroscopy.