Electric field gradients in metals

Vianden, R.

doi:10.1007/bf02147422

Cited by 71 publications

(16 citation statements)

References 298 publications

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“…A least squares procedure yielded the v-ray anisotropies and the modulation frequencies v~ =/~u gB/h and ve = e 2 Q q/h for the magnetic and electric case, respectively. The strength of the external magnetic field B applied perpendicular to the beam-detector plane is listed in Table 2, whereas the electric field gradient e q for Cd Cd at the measuring temperature 283 K was taken from [18,19]. To maximize the modulation effect at short delay times [20], a geometry was chosen in which the c axis of the Cd single crystal is in the target plane and at 45 ~ relative to the beam axis.…”

Section: Methodsmentioning

confidence: 99%

Nuclear structure study of the neutron deficient cadmium isotopes100, 101, 102Cd

Alber

Berger

Bertschat

et al. 1992

Z. Physik A - Hadrons and Nuclei

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Abstract. The neutron-deficient nuclei l~176176 were identified for the first time in -beam following the reactions 58Ni+46'48Ti and 58Ni+5~ at 230 MeV and 245 MeV bombarding energy of the 58Ni beams. The Vdecay of the isotopes ~~176176176 was studied in PT, PPT, nT, nnT, and n77 prompt and delayed coincidence spectra. Isomers were found with spin and half life V= 8 +, T1/2=52(5 ) ns in l~176 U=(19/2+), T~/2=4.6(4 ) ns in l~ and U=8 +, T1/2= 56(4 ) ns in 1~ In a PAD experiment the g-factor of the U = 8 + isomer in ~~176 was measured to be g=1.24(6). Using the reaction 36Ar+7~ at 235 MeV energy of the 36At beam, the gfactor and the quadrupole moment of the I" = 8 + isomer in 1~were measured to be g = 1.29(3) and Q = 87(20) fm 2, respectively. The spectroscopic results are discussed within a shell model approach using a ~~176 core, which accounts well for the electromagnetic properties of the proton aligned isomers. The structure of the spherical neutron states, dominated by the close lying vds/2, g7/2 orbitals, and the gradually developing quadrupole collectivity are reproduced by the shell model calculations.

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Section: Methodsmentioning

confidence: 99%

Nuclear structure study of the neutron deficient cadmium isotopes100, 101, 102Cd

Alber

Berger

Bertschat

et al. 1992

Z. Physik A - Hadrons and Nuclei

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“…2b) were obtained. As was expected, the spectrum corresponding to 181 Ta in metallic hafnium, shows the characteristic frequency n Q E320 MHz and Z ¼ 0:3 [9], and the normal texture found in hafnium wires. The Z value 0.3, obtained in spite of the HCP structure of metallic hafnium is a feature very well known [10], which will make difficult the comparison of the experimental results with simple point charge calculations.…”

Section: Resultsmentioning

confidence: 63%

Electric field gradients at 181Ta sites in HfOx

Darriba

Rodríguez

Saitovitch

et al. 2007

Physica B: Condensed Matter

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“…The typical EFG strength per 10 Ϫ2 deviation of the c/a ratio from the ideal ratio 1.633 is of the order of 2ϫ10 16 V/cm 2 for 3d and 4d elements and of the order of 2ϫ10 17 V/cm 2 for 5d elements. 40 If we take into account that, at least in a point charge model, V zz /(dl/l) in a cubic metal is only about a third of V zz /(c/aϪ1.633) in hexagonal metals, 41 we expect magnetostriction-induced EFG's of the order of 3 ϫ10 13 V/cm 2 for the 3d and 4d impurities and of the order of 3ϫ10 14 V/cm 2 for the 5d impurities. In contrast, the respective SO-EFG's are of the order of 10 15 V/cm 2 and 10 16 V/cm 2 .…”

Section: Appendix C: Noncubic Charge Distribution and Magnetostrictionmentioning

confidence: 99%

Spin-orbit induced noncubic charge distribution in cubic ferromagnets. II. Tight-binding analysis

2002

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The orbital moment and the noncubic charge distribution in ferromagnetic transition metals with cubic lattice symmetry are investigated within the tight-binding model. By combining the tight-binding approximation, perturbation theory, and the Green's function formalism for impurity scattering, approximate expressions for both effects are derived that depend only on the spin-orbit coupling strength and the density of states of the system without spin-orbit coupling. The basic relations between the orbital moment, the noncubic charge distribution, and the band structure are derived from the form of these expressions and from their application to various model band structures: We explain in this way the scaling with the spin-orbit coupling strength and bandwidth, the typical order of magnitude, the variation as a function of the band filling, the sensitivity to band structure details, and the role of the splitting between spin-up and spin-down states. For the noncubic charge distribution we derive the form of the dependence on the direction of the magnetization and show how the sign and magnitude of this anisotropy are related to the different energy distributions of e g and t 2g states. This tight-binding analysis is finally applied to the 5d impurities in Fe. The local densities of states without spin-orbit coupling are obtained by self-consistent augmented plane-wave calculations using a supercell method. The special features of the 5d impurities in Fe with respect to the band structure, the orbital moment, and the noncubic charge distribution are discussed. The general trend of the systematics is interpreted as a band filling effect. The prevailing sign of the anisotropy is ascribed to the concentration of the e g states near the Fermi energy. The results of the tight-binding analysis are compared with the experiment and a more rigorous calculation.

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Electric field gradients in metals

Cited by 71 publications

References 298 publications

Nuclear structure study of the neutron deficient cadmium isotopes100, 101, 102Cd

Nuclear structure study of the neutron deficient cadmium isotopes100, 101, 102Cd

Electric field gradients at 181Ta sites in HfOx

Spin-orbit induced noncubic charge distribution in cubic ferromagnets. II. Tight-binding analysis

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