Abstract
Cryogenic scanning tunneling microscopy and magnetization measurements were used to study the superconducting properties of ${\mathrm{MgB}}_{2}.$ The magnetization measurements show a sharp superconductor transition at ${T}_{c}=39 \mathrm{K},$ in agreement with previous works. The tunneling spectra exhibit BCS-like gap structures, with gap parameters in the range of 5 to 7 meV, yielding a ratio of $2\ensuremath{\Delta}{/k}_{B}{T}_{c}\ensuremath{\sim}3\ensuremath{-}4.$ This suggests that ${\mathrm{MgB}}_{2}$ is a conventional BCS s-wave superconductor, either in the weak-coupling or in the ``intermediate-coupling'' regime.
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