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We measure subnanometer displacements of thin samples vibrated bypiezotransducer. Samples contain $^{57}$Fe nuclei, which are exposed to 14.4keV $\gamma$-radiation. Vibration produces sidebands from a single absorptionline of the sample. The sideband intensities depend on the vibration amplitudeand its distribution along the sample. We developed a model of thisdistribution, which adequately describes the spectra of powder and stainlesssteel (SS) absorbers. We propose to filter $\gamma$-radiation through a smallhole in the mask, placed before the absorber. In this case only a small spot ofthe vibrated absorber is observed. We found for SS foil that nuclei, exposed to$\gamma$-radiation in this small spot, vibrate with almost the same amplitudeswhose difference does not exceed a few picometers.

Application of M\"{o}ssbauer effect to study subnanometer harmonic displacements in a thin solid