Growth, structure analysis and anisotropic superconducting properties of MgB2 single crystals

Here we report the growth of sub-millimeter MgB2 single crystals of various shapes under high pressure in Mg-B-N system. Structure refinement using a single-crystal X-ray diffraction analysis gives lattice parameters a = 3.08 51(5) Angstrom and c = 3.5201(5) Angstrom with small reliability factors R- w = 0.025, R = 0.018), which enables us to analyze the Fourier and Fourier difference maps. The maps clearly show the B sp(2) orbitals and covalency o f the B-B bonds. The sharp superconducting transitions at T-c = 38.1-38.3 K were obtained in both magnetization DeltaT(c) = 0.6 K) and resistivity (De ltaT(c) < 0.3 K) measurements. Resistivity measurements with magnetic field s applied parallel and perpendicular to the NI-g and B sheets reveal the an isotropic nature of this compound, with upper critical field anisotropy rat io of about 2.7.