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The PAC technique

PAC measurements rely on a radioactive probe atom like 111In . The quantity measured is the electric field gradient (efg), which arises from the immediate lattice surrounding at the site of the probe atom. The observed effect results from the hyperfine interaction between the efg and the quadrupole moment of the isotope 111Cd, which which is a product of the radioactive decay of the probe 111In. A non zero efg, which is the result of a deviation of the electronic charge distribution around the probe from spherical symmetry, is observed in case of a non-cubic lattice structure or a defect in the immediate vicinity of the probe atom. The efg is the second spatial derivative of the electrostatic potential and, therefore, can be described by a second rank, traceless tensor. In its principal axis system this tensor is completely described by two quantities, usually its largest component Vzz, expressed via the quadrupole coupling constant nQ = eQVzz/h, and the asymmetry parameter h = (Vxx-Vyy)/Vzz . By detecting two g-quanta in coincidence, which are emitted following the radioactive decay, a time spectrum is obtained, which is described by a function

,

which holds for the case of a single efg. The frequencies wn are extracted from the Fourier transform F(w), yielding nQ, w1 and h, which is determined by the ratio w2/w1 .

 

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