High pressure synthesis of single crystalline MgB$_{2}$*

We report the results of single crystal growth of MgB$_{2}$.~ A high pressure furnace, using a 19 mm truncation edge length, cubic anvil capable of reaching 3.3 GPa and 2000 C was used to grow crystals of MgB$_{2}$ out of the Mg-B-N ternary.~ Design, setup, and calibration will be discussed as well as correlations between pressure and temperature profiles and crystal size.~ Results of measurements of penetration depth and H$_{c2}$(T) on single crystals will be shown as well as the results of initial doping studies.