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The Pauli principle and the vibrational dynamics of protons in solids: A new spin-related symmetry

✍ Scribed by F. Fillaux


Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
879 KB
Volume
113
Category
Article
ISSN
0167-2789

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✦ Synopsis


Inelastic neutron scattering studies of some hydrogen bonded crystals (e.g., potassium hydrogen carbonate, KHC03) have revealed that the dynamics of protons is largely decoupled from the lattice. The KHC03 crystal is a prototypical system for proton dynamics which contains centro-symmetric dimer entities (HCO,): linked by moderately strong hydrogen bonds.

The quantum dynamics of pairs of coupled oscillators is analyzed. It is shown that the Pauli principle applied to normal coordinates for fermions gives new quantum properties in the degenerate ground state. Vibrational wave functions for the singlet and triplet states are derived. A new spin-related selection rule in proposed: the dynamics of fermions (e.g., H atoms) is decoupled from the dynamics of bosons (e.g., C and 0 atoms). Scattering functions for the protons are calculated with various models: the single harmonic oscillator, the double minimum potential and pairs of coupled harmonic oscillators. It is concluded that quantum interferences should be observed with elastic neutron scattering for pairs of coupled fermions.


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