Nuclear acoustic resonance in europium vanadate

The trivalent europium ion has a ground manifold 4f 6 , 7 F, in which the lowest state is J = 0, some 360 cm -1 below the first excited state J = 1. The two stable isotopes of mass 151, 153 each have nuclear spins I = 5/2. Experiments to determine the hyperfine structure are discussed in the preceding paper I; a further alternative is the use of acoustic waves. These have no direct interactions with the nuclear magnetic moments, but absorption arises through modulation of the electronic contributions to the hyperfine splittings. Nuclear electric quadrupole interactions are larger than magnetic interactions, and modulation of the electric field gradient of the lattice is expected to give a stronger effect.

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Nuclear interactions in europium vanadate

Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences ◽

10.1098/rspa.1995.0109 ◽

1995 ◽

Vol 450 (1940) ◽

pp. 711-717 ◽

Cited By ~ 4

Keyword(s):

Nuclear Polarization ◽

Nuclear Orientation ◽

Electric Quadrupole ◽

Acoustic Resonance ◽

Hole Burning ◽

Matrix Elements ◽

Europium Ion ◽

Quadrupole Interactions ◽

First Excited State ◽

Nuclear Acoustic Resonance

The ground configuration of the europium ion, Eu 3+ , 4f 6 , 7 F, is split by spin-orbit interaction into a series of levels J = 0 to 6. There are matrix elements of the electronic Zeeman interaction Z e and hyperfine interaction Z hfs between states of different J . In particular, for the lowest state, the singlet J = 0, matrix elements to the first excited state J = 1 produce contributions to the nuclear Zeeman and electric quadrupole interactions in J = 0. Formulae for these are listed by Bleaney & Leask (1994) for three tetragonal compounds. One of these is EuVO 4 , for which existing measurements by optical ‘hole-burning’ are discussed, together with the possibility of nuclear orientation and dynamic nuclear polarization. Experiments using nuclear acoustic resonance are suggested in a following paper.

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Measurements of nuclear magnetic moments and electric quadrupole moments of Lu isotopes

Physical Review C ◽

10.1103/physrevc.54.1027 ◽

1996 ◽

Vol 54 (3) ◽

pp. 1027-1037 ◽

Cited By ~ 7

Author(s):

C. König ◽

B. Hinfurtner ◽

E. Hagn ◽

E. Zech ◽

R. Eder

Keyword(s):

Magnetic Moments ◽

Electric Quadrupole ◽

Quadrupole Moments ◽

Nuclear Magnetic Moments ◽

Nuclear Magnetic

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The paramagnetic resonance spectra of gadolinium and neodymium ethyl sulphates

Proceedings of the Royal Society of London Series A - Mathematical and Physical Sciences ◽

10.1098/rspa.1954.0097 ◽

1954 ◽

Vol 223 (1152) ◽

pp. 15-29 ◽

Cited By ~ 99

Keyword(s):

Magnetic Moments ◽

Wave Length ◽

Electric Quadrupole ◽

Zero Field ◽

Electric Quadrupole Interaction ◽

Crystalline Electric Field ◽

Paramagnetic Resonance ◽

Nuclear Magnetic Moments ◽

Splitting Factor ◽

Field Lines

Accurate measurements of the paramagnetic resonance spectra of gadolinium and neodymium ethyl sulphates have been made both in strong magnetic fields at a wave-length of 3 cm, and in weak fields at wave-lengths between 6 and 22 cm. (i) The Gd 3+ ion is in an 8 S state, whose levels are split by the action of the crystalline electric field, which is assumed to have C 3 h symmetry. The results are consistent with this supposition, except for some discrepancies in the position of the zero field lines, whose origin is not certain. The main parameters in the spin Hamiltonian are evaluated, and the spectroscopic splitting factor is found to be isotropic at 1.990±0.002. (ii) The Nd 3+ ion is in a 4 I 2/3 state, which is split by the crystal field leaving a Kramers doublet as the ground state. The hyperfine structure due to the two odd isotopes 143, 145 has been measured and gives the ratio of the nuclear magnetic moments (143/145) as 1.6083±0.0012. Some small discrepancies in the positions of the hyperfine lines in zero field are found, which prevent the determination of accurate values of the nuclear electric quadrupole interaction. The theory of Elliott & Stevens (1953 b ) leads to values of 1.0 and 0.62 nuclear magnetons for the moments of isotopes 143 and 145 respectively, with an uncertainty of about ±25% arising from lack of a precise value for r –3 ¯¯¯ , where r is the electron-nuclear distance.

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Paramagnetic resonance in diluted copper salts I. Hyperfine structure in diluted copper Tutton salts

Proceedings of the Royal Society of London Series A - Mathematical and Physical Sciences ◽

10.1098/rspa.1955.0039 ◽

1955 ◽

Vol 228 (1173) ◽

pp. 147-157 ◽

Cited By ~ 142

Keyword(s):

Hyperfine Structure ◽

Magnetic Moments ◽

Electric Quadrupole ◽

Electric Quadrupole Interaction ◽

Quadrupole Moments ◽

Copper Salts ◽

Paramagnetic Resonance ◽

Tutton Salts ◽

Nuclear Magnetic Moments ◽

Zinc Salts

The principal values of the g-tensor and the hyperfine structure (due to interactions with the magnetic dipole and electric quadrupole moments of the stable copper isotopes) have been determined in several copper Tutton salts diluted with the isomorphous zinc salts. At high dilution the residual line width is mainly due to interaction with the nuclear magnetic moments of the protons in the water of crystallization, and increased resolution is obtained by replacing these by deuterons. Crystals of the diluted copper potassium salt have been grown from heavy water, and a detailed study made of the electric quadrupole interaction.

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Electron Spin Decoherence by Nuclei

10.1093/oso/9780198807308.003.0007 ◽

2018 ◽

Author(s):

M. M. Glazov

Keyword(s):

Electron Spin ◽

Spin Dynamics ◽

Magnetic Moments ◽

Host Lattice ◽

Spin Model ◽

Relaxation Processes ◽

Nuclear Spins ◽

Model Calculations ◽

Spin Decoherence ◽

Quantum Mechanical Approach

The discussion of the electron spin decoherence and relaxation phenomena via the hyperfine interaction with host lattice spins is presented here. The spin relaxation processes processes limit the conservation time of spin states as well as the response time of the spin system to external perturbations. The central spin model, where the spin of charge carrier interacts with the bath of nuclear spins, is formulated. We also present different methods to calculate the spin dynamics within this model. Simple but physically transparent semiclassical treatment where the nuclear spins are considered as largely static classical magnetic moments is followed by more advanced quantum mechanical approach where the feedback of electron spin dynamics on the nuclei is taken into account. The chapter concludes with an overview of experimental data and its comparison with model calculations.

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Nuclear magnetic moments of 2.0 h 89Nb and 78 h 89Zr

Nuclear Physics A ◽

10.1016/s0375-9474(97)00193-0 ◽

1997 ◽

Vol 620 (3) ◽

pp. 317-326 ◽

Cited By ~ 5

Author(s):

B. Hinfurtner ◽

G. Seewald ◽

E. Hagn ◽

E. Zech ◽

I.S. Towner

Keyword(s):

Magnetic Moments ◽

Nuclear Magnetic Moments ◽

Nuclear Magnetic

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Accurate Values of Nuclear Magnetic Moments of Francium Isotopes

Physical Review Letters ◽

10.1103/physrevlett.48.1330 ◽

1982 ◽

Vol 48 (19) ◽

pp. 1330-1333 ◽

Cited By ~ 33

Author(s):

Mina Vajed-Samii ◽

J. Andriessen ◽

B. P. Das ◽

S. N. Ray ◽

Taesul Lee ◽

...

Keyword(s):

Magnetic Moments ◽

Nuclear Magnetic Moments ◽

Nuclear Magnetic

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A Novel Micromechanical Resonator Using Two-Dimensional Phononic Crystal Slab

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.254.195 ◽

2011 ◽

Vol 254 ◽

pp. 195-198

Author(s):

Nan Wang ◽

Fu Li Hsiao ◽

Moorthi Palaniapan ◽

Ming Lin Julius Tsai ◽

Jeffrey B.W. Soon ◽

...

Keyword(s):

Acoustic Waves ◽

Phononic Crystal ◽

Acoustic Resonance ◽

Two Dimensional ◽

Free Standing ◽

Sensing Applications ◽

Aln Film ◽

Digital Transducers ◽

Square Array ◽

Quality Factor Q

Two-dimensional (2-D) Silicon phononic crystal (PnC) slab of a square array of cylindrical air holes in a 10μm thick free-standing silicon plate with line defects is characterized as a cavity-mode PnC resonator. Piezoelectric aluminum nitride (AlN) film is deployed as the inter-digital transducers (IDT) to transmit and detect acoustic waves, thus making the whole microfabrication process CMOS-compatible. Both the band structure of the PnC and the transmission spectrum of the proposed PnC resonator are analyzed and optimized using finite element method (FEM). The measured quality factor (Q factor) of the microfabricated PnC resonator is over 1,000 at its resonant frequency of 152.46MHz. The proposed PnC resonator shows promising acoustic resonance characteristics for RF communications and sensing applications.

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