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We reported far-infrared transmission measurements on a c-axis orientedsuperconducting MgB$_{2}$ thin film in the frequency range of 30 $\sim$ 250cm$^{-1}$. We found that these measurements were sensitive to values ofscattering rate $1/\tau$ and superconducting gap $2\Delta$. By fitting theexperimental transmission spectra at 40 K and below, we obtained $1/\tau =$(700 $\sim$ 1000) cm$^{-1}$ and $2\Delta (0)\cong$ 42 cm$^{-1}$. These twoquantities suggested that MgB$_{2}$ belong to the dirty limit.Comment: submitted at May

physical review. b, condensed matter

Far-infrared transmission studies of a<i>c</i>-axis-oriented superconducting<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">MgB</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>thin film

Far-infrared transmission studies of ac-axis-oriented superconductingMgB2thin film