If hydrogen is diffused into a calcium fluoride crystal that
contains a significant number of rare earth ions, R3+,
substituted for Ca2+ in the
crystal lattice, an H- ion
may occupy a site close to a Re3+
ion. When this happens the light ion vibrates independently of
the heavier lattice, and there is a narrow absorption in the
infrared, corresponding to the energy of the transition from
the ground state, to the first excited state, of the quantized
harmonic oscillator.
If Deuterium and Tritium ions are substituted for hydrogen,
the frequency of the harmonic oscillator decreases in proportion
to one over the square root of the mass, and the absorptions
in the infrared shift in wavelength accordingly.
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