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Symmetry Breaking Nuclear Quadrupole Coupling Tensor Orientation for Cesium‐133 Nuclei Located in a Mirror Plane
Author(s) -
Kim Tae Ho,
Lee Kang Yeol,
Kim Jineun
Publication year - 2016
Publication title -
bulletin of the korean chemical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.237
H-Index - 59
ISSN - 1229-5949
DOI - 10.1002/bkcs.10965
Subject(s) - principal axis theorem , quadrupole , tensor (intrinsic definition) , euler angles , physics , chemistry , orientation (vector space) , coupling (piping) , plane (geometry) , nuclear magnetic resonance , crystallography , atomic physics , geometry , quantum mechanics , materials science , mathematics , metallurgy
Simultaneous multiple data set fits of all transition peaks of 133 Cs nuclei enabled us to obtain accurate cesium‐133 nuclear magnetic resonance ( NMR ) parameters and Euler angles between the principal axis systems of the chemical shift ( CS ) and quadrupole coupling (Q) tensors of 133 Cs nuclei in Cs 2 CrO 4 . Although in a previous study of Cs 2 CrO 4 by Power et al . (W. P. Power, S. Mooibroek, R. E. Wasylishen, T. S. Cameron, J. Phys. Chem. 1994 , 98 , 1552), one central transition was observed for cesium sites 1 and 2 in the 133 Cs NMR spectra and one Euler angle between the CS tensors and Q tensors was obtained as 52° and 7° for cesium sites 1 and 2, respectively, the present single‐crystal 133 Cs NMR measurements found two Euler angles (10(2)°, 51.9(1)°, 0°) for site 1 and two central transition peaks for site 2. Three principal components of the CS tensor for Cs1 are oriented along the crystallographic a , b , and c axes, whereas none of the principal components of the Q tensor for Cs1 are oriented along the crystal axes. The principal component V 22 of the Q tensor for Cs1 is tilted 10° from the b axis in the bc plane, and the other two components are not located in the ac plane. Therefore, we have found that the requirement that “the quadrupole coupling tensor for a nucleus located in a mirror plane has one principal axis perpendicular to the mirror plane” cannot be applied to Cs1. On the other hand, δ 11 and V 22 for Cs2 are aligned along the b axis, and the other components of the CS and Q tensors deviate at an angle of 1.4(1)° and 10.1(1)°, respectively, from the a and c axes in the ac plane. A distortion‐free powder 133 Cs NMR spectrum of Cs 2 CrO 4 was measured using a solid‐state spin echo technique.