scholarly journals Composite Spin and Quadrupole Wave in the Ordered Phase of Tb2+xTi2-xO7+y

SPIN ◽  
2015 ◽  
Vol 05 (02) ◽  
pp. 1540003 ◽  
Author(s):  
H. Kadowaki ◽  
H. Takatsu ◽  
T. Taniguchi ◽  
B. Fåk ◽  
J. Ollivier

The hidden ordered state of the frustrated pyrochlore oxide Tb 2+x Ti 2-x O 7+y is possibly one of the two electric multipolar, or quadrupolar, states of the effective pseudospin-1/2 Hamiltonian derived from crystal-field ground state doublets of non-Kramers Tb 3+ ions. These long-range orders are antiparallel or parallel alignments of transverse pseudospin components representing electric quadrupole moments, which cannot be observed as magnetic Bragg reflections by neutron scattering. However, pseudospin waves of these states are composite waves of the magnetic-dipole and electric-quadrupole moments, and can be partly observed by inelastic magnetic neutron scattering. We calculate these spin-quadrupole waves using linear spin-wave theory and discuss previously observed low-energy magnetic excitation spectra of a polycrystalline sample with x = 0.005(T c = 0.5 K).

2011 ◽  
Vol 80 (7) ◽  
pp. 073703 ◽  
Author(s):  
Shunichi Tatematsu ◽  
Yukio Yasui ◽  
Taketo Moyoshi ◽  
Kiyoichiro Motoya ◽  
Kazuhisa Kakurai ◽  
...  

2002 ◽  
Vol 57 (6-7) ◽  
pp. 591-594
Author(s):  
P. Thakur ◽  
M. S. Behra ◽  
R. Dogra ◽  
A.K. Bhati ◽  
S. C. Bedi

The time differential perturbed angular correlation (TDPAC) technique has been used to study the nuclear quadrupole interactions of the first excited state of ground state rotational band (2+, 80 keV, T1/2 = 1.88 ns) and the band head of the = 41- band (41-,1094 keV, T1/2 = 120 ns) in the 168Er nucleus of a polycrystalline Er host. At room temperature we obtained the electric quadrupole interaction frequencies ω0(K= 0) = 457(15) Mrad/s and ω0(K= 4) = 69(2) Mrad/s, respectively, for the 2+ and 4- isomeric states of 168Er. The ratio of the spectroscopic quadrupole moments, i. e. Qs (K= 4)/Qs (K= 0) = 0.69(3), is independent of any model approximation and the electric field gradient at 168Er in the host metal


Paramagnetic resonance has been observed at 4.2 °K and a wavelength of 3.1 cm in magnetically dilute crystals of the acetate and double magnesium nitrate of dysprosium. Values for the nuclear spins and nuclear magnetic dipole moments of the odd isotopes 161 Dy and 163 Dy have been deduced from the spectrum in dysprosium acetate, although the spectrum does not have axial symmetry and cannot be analyzed in detail. More reliable values for these moments have been obtained from the spectrum of dysprosium double nitrate, which has axial symmetry. It has also been possible to make an approximate calculation of the electronic ground state of dysprosium ions in this salt and estimate the nuclear electric quadrupole moments. The values of the moments are: 161 µ = — 0.37 ± 0.04 n.m .; 163 µ = + 0.51 ± 0.06 n.m .; and, in units of 10 -24 cm 2 , 161 Q = + 1.1 ± 0.4; 163 Q = + 1.3 ± 0.4. For each isotope, only the relative signs of the two moments were determined experimentally; the signs quoted above are suggested as the most probable ones.


1989 ◽  
Vol 44 (7) ◽  
pp. 687-691 ◽  
Author(s):  
W. H. Stolze ◽  
D. H. Sutter

Abstract The rotational Zeeman effect of 1,2,4-trifluorobenzene has been studied for 8 low-J rotational transitions in magnetic fields between 1.9 and 2.4 Tesla. The observed susceptibility anisotropics and molecular g-values are: (2χaa−χbb−χcc) = 37.85(69) • 10−6 erg G−2 mole−1, (2χbb−χcc−χaa) = 56.85(54) • 10−6 erg G−2 mole−1, gaa= −0.0393(3), gbb= −0.0277(3), and gcc = 0.0042(2). The Zeeman parameters have been used to derive the molecular electric quadrupole moments and vibronic ground state expectation values for the electronic second moments. The observed out-of-plane quadrupole moment is discussed with reference to an additivity scheme proposed earlier. The observed out-of-plane component of the molecular magnetic susceptibility tensor is in excellent agreement with the value predicted earlier from the CNDO/2-π-electron density alternation at the ring atoms.


1974 ◽  
Vol 10 (4) ◽  
pp. 1028-1033 ◽  
Author(s):  
W. J. Childs ◽  
M. Fred ◽  
E. Schrödl ◽  
Th. A. M. van Kleef

2006 ◽  
Vol 75 (7) ◽  
pp. 074705 ◽  
Author(s):  
Taketo Moyoshi ◽  
Yukio Yasui ◽  
Minoru Soda ◽  
Yoshiaki Kobayashi ◽  
Masatoshi Sato ◽  
...  

2005 ◽  
Vol 14 (08) ◽  
pp. 1235-1246 ◽  
Author(s):  
SH. SHARIPOV ◽  
M. J. ERMAMATOV

The spectra, E2-transition probabilities and electric quadrupole moments of a series of known superheavy nuclei, with Z between 102 and 112 are analyzed within the non-adiabatic model of quadrupole deformed, axially-symmetric nuclei. Calculations are made assuming that the mass parameter and the non-dimensional parameter g appearing in this model are constant for the superheavy nuclei with close charge numbers.


2000 ◽  
Vol 12 (12) ◽  
pp. 2725-2736 ◽  
Author(s):  
P A Alekseev ◽  
J-M Mignot ◽  
R Kahn ◽  
A Ochiai ◽  
E S Clementyev ◽  
...  

2017 ◽  
Vol 13 (2) ◽  
pp. 4678-4688
Author(s):  
K. A. Kharroube

We applied two different approaches to investigate the deformation structures of the two nuclei S32 and Ar36 . In the first approach, we considered these nuclei as being deformed and have axes of symmetry. Accordingly, we calculated their moments of inertia by using the concept of the single-particle Schrödinger fluid as functions of the deformation parameter β. In this case we calculated also the electric quadrupole moments of the two nuclei by applying Nilsson model as functions of β. In the second approach, we used a strongly deformed nonaxial single-particle potential, depending on Î² and the nonaxiality parameter γ , to obtain the single-particle energies and wave functions. Accordingly, we calculated the quadrupole moments of S32 and Ar36 by filling the single-particle states corresponding to the ground- and the first excited states of these nuclei. The moments of inertia of S32 and Ar36 are then calculated by applying the nuclear superfluidity model. The obtained results are in good agreement with the corresponding experimental data.


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