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The phenomenon of atoms in a solid "moving" or "jiggling" can be confirmed through various experimental techniques, one of which is called X-ray crystallography. X-ray crystallography is a widely used method to determine the arrangement of atoms in a crystal lattice and provides evidence for the existence of atomic vibrations.

In X-ray crystallography, a crystal of the solid material is bombarded with X-rays, which interact with the electrons in the crystal lattice. These interactions cause the X-rays to diffract, forming a characteristic pattern of constructive and destructive interference. By analyzing the resulting diffraction pattern, it is possible to extract information about the arrangement of atoms in the crystal.

The motion of atoms in a solid manifests as thermal vibrations or atomic displacements around their equilibrium positions. These vibrations result in a broadening of the diffraction peaks in the X-ray crystallography pattern. The amount of broadening is related to the amplitude of atomic vibrations and provides direct evidence for the "jiggling" motion of atoms.

By measuring the width of the diffraction peaks, it is possible to calculate parameters such as the root-mean-square atomic displacement or the Debye-Waller factor, which quantifies the degree of atomic motion. These measurements confirm that atoms in a solid are not stationary but experience thermal motion.

Furthermore, techniques such as neutron scattering, inelastic scattering, and spectroscopy can also be employed to study the dynamic behavior of atoms in a solid. These methods provide insight into the energy levels, frequencies, and amplitudes of atomic vibrations, further confirming the existence of atomic motion.

Overall, experimental techniques such as X-ray crystallography and related methods offer a direct confirmation of the "moving" or "jiggling" behavior of atoms in a solid, providing valuable insights into the fundamental nature of matter.

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