Magnetic Properties of Bismuth(III) Oxy Compounds

Кравченко, Е. А.; Orlov, V. G.; Shlykov, M. P.

doi:10.1002/chin.200629224

Cited by 4 publications

(8 citation statements)

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“…The convolution of d(ix)ll/dt with the Gaussian distribution over W was performed in the way similar to the procedure described in [2,6], assuming that there was an inhomogeneity of the quadrupole coupling constant in the sample. The detailed description of the computer modeling of the nuclear spin echo was given in [12].…”

Section: Application Of the Fioquet-lyapunov Theoremmentioning

confidence: 99%

Nuclear spin echo model based on Floquet-Lyapunov theory

Orlov¹,

Shlykov²

2008

Hfi/Nqi 2007

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The method of nuclear spin-echo amplitude calculation based on the density matrix technique is improved. The Floquet-Lyapunov theorem for a system of the ordinary differential equations with coefficients periodically dependent on time is used to find the solution of the Schrodinger equation for the time-evolution operator which describes behavior of a nuclear spin in the presence of a radiofrequency pulsed magnetic field. NOR spin echo for the case of nuclear spin I = 1 and NMR spin echo for I = 1/2 are considered as the simplest illustrations of the approach. The appearance of multiple spin echoes is predicted in the case of strong radiofrequency field.

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Section: Application Of the Fioquet-lyapunov Theoremmentioning

confidence: 99%

Nuclear spin echo model based on Floquet-Lyapunov theory

Orlov¹,

Shlykov²

2008

Hfi/Nqi 2007

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“…The convolution of d Î x I I dt with the Gaussian distribution over ω was performed in the way similar to the procedure described in [2,6], assuming that there was an inhomogeneity of the quadrupole coupling constant in the sample. The detailed description of the computer modeling of the nuclear spin echo was given in [12].…”

Section: Application Of the Floquet-lyapunov Theoremmentioning

confidence: 99%

Nuclear spin echo model based on Floquet–Lyapunov theory

Orlov

Shlykov

2007

Hyperfine Interact

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The method of nuclear spin-echo amplitude calculation based on the density matrix technique is improved. The Floquet-Lyapunov theorem for a system of the ordinary differential equations with coefficients periodically dependent on time is used to find the solution of the Schrödinger equation for the time-evolution operator which describes behavior of a nuclear spin in the presence of a radiofrequency pulsed magnetic field. NQR spin echo for the case of nuclear spin I = 1 and NMR spin echo for I = 1/2 are considered as the simplest illustrations of the approach. The appearance of multiple spin echoes is predicted in the case of strong radiofrequency field.

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“…For estimating their strength and orientation, the modeling of the SEE shapes was performed. The program for theoretical modeling the SEE shape was based on the density matrix formalism and took into account the symmetry properties of the EFG tensor as well as the presence of H loc and constant external magnetic field (H ext ) disturbing the spin system [4,5].…”

Section: Modelingmentioning

confidence: 99%

“…By modeling the Zeeman-perturbed patterns, relatively weaker H loc was found in oriented single Fig. 1 The observed (1), simulated assuming H ext = (4.5 ± 1) Oe, θ = (50 ± 10) • and ϕ = (0 ± 20) • (2) and smoothed (3) spin-echo envelopes assigned to the transition ν 2 in the 209 Bi NQR spectrum of BaBiO 2 Cl [4] crystal Bi 4 Ge 3 O 12 , and dramatic increase in the 209 Bi NQR line intensities permitted estimating the H loc characteristics in this crystal [3,4]. No anomalies in splittings were observed in Zeeman fields for a single crystal of Bi 3 B 5 O 12 , although the resonance intensity ratio in its 209 Bi NQR spectrum considerably deviated from that in a pure quadrupole spectrum [5].…”

Section: Introductionmentioning

confidence: 99%

“…No anomalies in splittings were observed in Zeeman fields for a single crystal of Bi 3 B 5 O 12 , although the resonance intensity ratio in its 209 Bi NQR spectrum considerably deviated from that in a pure quadrupole spectrum [5]. An approach based on examination of the quadrupole spinecho envelope (SEE) was then attempted [4,5]. Line splittings can be detected by this approach as low-frequency modulations of the spin-echo envelope [6].…”

Section: Introductionmentioning

confidence: 99%

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Zero-field splittings of NQR spectra for bismuth(III) oxy compounds revealed by quadrupole spin echo envelopes

et al. 2007

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Local magnetic fields up to 250 G were earlier found by measuring the NQI parameters in bismuth(III) oxy compounds conventionally considered as diamagnets, a strong increase in the 209 Bi line intensities being observed in external magnetic fields. An approach based on registration of the quadrupole spin-echo envelopes enabled to reveal small (within an inhomogeneous line broadening) splittings in some other compounds of this type. The modeling of time dependence of the quadrupole spin echo amplitude indicated that modulations of the spin echo envelope in BaBiO 2 Cl and Bi 3 B 5 O 12 resulted from weak (≤5 G) local magnetic fields. By using this approach, it was found that an increase in the 209 Bi resonance intensity in external magnetic fields is related to an influence of the fields on the nuclear spin-spin relaxation rate for the appropriate compounds.

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Magnetic Properties of Bismuth(III) Oxy Compounds

Abstract: Inorganic chemistry Z 0100 Magnetic Properties of Bismuth(III) Oxy Compounds -[emphasis on results obtained by 209 Bi NQR spectroscopy and SQUID magnetometry; 49 refs.]. -(KRAVCHENKO, E. A.; ORLOV, V. G.; SHLYKOV, M. P.; Russ. Chem. Rev. (Engl.

Cited by 4 publications

References 1 publication

Nuclear spin echo model based on Floquet-Lyapunov theory

Nuclear spin echo model based on Floquet-Lyapunov theory

Nuclear spin echo model based on Floquet–Lyapunov theory

Zero-field splittings of NQR spectra for bismuth(III) oxy compounds revealed by quadrupole spin echo envelopes

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