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The wavelength of the ${}^{57}\mathrm{Fe}$ M\"ossbauer radiation is measured with a relative uncertainty of 0.19 ppm by using almost exact Bragg backscattering from a reference silicon crystal. Its value is determined as ${\ensuremath{\lambda}}_{\mathrm{M}}\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}0.86025474(16)\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}10}$ m. The corresponding M\"ossbauer photon energy is ${E}_{\mathrm{M}}\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}14412.497(3)$ eV. The wavelength of the ${}^{57}\mathrm{Fe}$ M\"ossbauer radiation is easily reproducible with an accuracy of at least ${10}^{\ensuremath{-}11}{\ensuremath{\lambda}}_{\mathrm{M}}$ and could be used as a length standard of atomic dimensions.
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