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Manifestation of Berry’s Phase in Nuclear Quadrupole Resonance Spectra of Rotating Powder Samples

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Manifestation of Berry’s Phase in Nuclear Quadrupole Resonance Spectra of Rotating Powder Samples

Nikolay Sinyavskya, Mariusz Ma´ckowiakb, and Claudia Schmidtc

aBaltic State Academy, Molodiozhnaya str. 6, 236029 Kaliningrad, Russia

bInstitute of Molecular Physics, Polish Academy of Sciences, Smoluchowskiego 17, 60-179 Pozna´n, Poland

cDepartment Chemie, Universit¨at Paderborn, Warburger Str. 100, D-33098 Paderborn, Germany Reprint requests to Prof. N. S.; E-mail: sinyavsky physics@bga.gazinter.net

Z. Naturforsch.63a,81 – 87 (2008); received August 1, 2007

The effect of Berry’s phase on the nuclear quadrupole resonance (NQR) spectra of rotating pow- der samples is studied experimentally, and its application for the determination of the electric field gradient asymmetryη is demonstrated. The NQR frequency splittings, which are observed for the spin 3/2 nucleus of 35Cl in powder samples of p-dichlorobenzene (C6H4Cl2) and cyanuric chlo- ride (C3N3Cl3), are interpreted as a manifestation of Berry’s phase, associated with the adiabatically changing Hamiltonian due to sample rotation. The accumulation of Berry’s phase during the rotation process is responsible for the observed dependence of the NQR line shape on the rotation frequency and the asymmetry parameter. The proposed method for the determination ofηinvolves the analysis of the NQR powder patterns of the rotating samples.

Key words:Berry’s Phase; Nuclear Quadrupole Resonance; Electric Field Gradient Tensor;

Asymmetry Parameter.

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