Niedermayer<i>et al</i>. reply

Niedermayer, Ch.; Bernhard, C.; Binninger, U.; Tallon, J. L.

doi:10.1103/physrevlett.72.2502

Cited by 24 publications

(29 citation statements)

References 6 publications

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“…The Mu yield derived from this experiment agrees with an independent determination in transverse field. 5 The three Mu adduct radicals are not expected to contribute to the observed oscillation since their anisotropy is higher (for the most prominent of them we expect,19 based on experiments using the ALC technique, a frequency of 2-9 MFIz with a strong temperature dependence) and since 50% of these radicals contain at least one l3C nucleus which in zero field has the effect of distributing the signal over further frequencies.…”

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confidence: 91%

“…Any additional deviation from this value should be a consequence of the small 2pz admixture and AM for Mu@C70 is estimated to be 4301 MHz, in excellent agreement with the value of 4346 (36) MHz derived from TF-/tSR measurements. 5 In Figure 3, we show the electron density calculated for Mu@C70 using the wave function of eq 4. As a result of the finite 2pz Mu@C70 Short axis (Angstrom) Figure 4.…”

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Mu@C70: monitoring the dynamics of fullerenes from inside the cage

Prassides¹,

Dennis²,

Christides³

et al. 1992

J. Phys. Chem.

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chanics Division (N00014-92-5-1202). Refereaces and Notes(1) Weiske, T.; Whme, D. K.; HruUk, J.; Krltschmer, W.; Schwarz, H. (2) ROSS, M. M.; Callahan, J. H. J. Phys. Chem. 1991, 95, 5720. (3) Caldwell, K. A.; Giblin, D. E.; Hsu, C. S.; Cox, D.; Gross, M. L. J. (4) Campbell, E. E. 9.; Ulmer, G.; Hertel, I. V. Z . Phys. D 1992, 23, 1. (5) Weiske, T.; H d k , J.; mhme, D. K.; Schwarz, H. Helv. Chim. Acra (6) WanHsu, M. T.; Rincon, M. E.; Kemper, P. R.; Bowers. M. T. Chem. Phys. Let?. 1990,174, 223. (28) Lifshitz, C.; Iraqi, M.; Fischer, J. E.; Pews, T. In?. J. Mars Spectrom. Ion Processes 1991, 107, 565. (29) Sandler, P.; Lifshitz, C.; Klots, C. E. Chem. Phys. Lett, submitted for publication. Chem. 1991, 95, 10564. 157.Atomic muonium (Mu, the light isotope of hydrogen) is easily encapsulated inside fullerene cages and acts as a highly sensitive microscopic probe of both the fullerene's rotational dynamics and the anisotropy in its electronic distribution. Zerolfield muon spin relaxation studies of MU@C!~~ as a function of temperature reveal the appearance of the Mu triplet precession upon orientational ordering of the fullerene at 270 K, signaling the presence of an axially symmetric hyperfine interaction. A small 2pz admixture is found in the ground-state wave function of Mu@C~O; as a result, the electron density reproduces perfectly the internal shape of the fullerene skeleton, including the small "pinching" in the equator.Positive muons (p+) may bind an electron to form a muonium atom (Mu = &), the light isotope of hydrogen (mMu -(1/9)mH),l Mu encapsulated inside fullereneZ cages has been recently observed*-5 by transverse-field muon spin rotation (TF-pSR) techniques. Here we present the results of a muon spin relaxation study of the endohedral Mu@Cm complex in zerofleld (ZF-pSR) between 10 and 310 K. A singlafrequency oscillation at Y -0.70 (2) MHz appears on cooling near 270 K and signals the presence of an axially symmetric hyperfine interaction that lifts the Mu triplet degeneracy. The rapid tumbling of the fullmne molecules drastically shws upon orientational ordering, and the M U @ C ,~ rotational correlation time is estimated to be -30 ( 5 ) ns at 200 K. Below 150 K, there is evidence for a completely asymmetric hyperfine matrix, indicating a further change in molecular motion. The results show that muonium, trapped in thecavityof a fullcrenc, can be used as a higbly sensitive micrawpic probe of both the molecule's rotational dynamics and the anisotropy in its electronic distribution.The CT0 samp!e (-98.5% average purity, -500 mg) was prepared as desmbed previously? Sublimation7 at 650 O C followed by extended annealing at 250 OC (22 days) leads to highly crystalline material with no traces of trapped solvent and a facccentered-cubic structure at room temperature. The sample was characterized by powder X-ray and high-resolution neutron diffraction, "C NMR spectroscopy, and prompt y-ray neutron activation analysis. ZF-pSR experiments (52 pT) w m performed in longitudinal geometry8 between 10 and 310 K usin...

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confidence: 91%

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confidence: 99%

Mu@C70: monitoring the dynamics of fullerenes from inside the cage

Prassides¹,

Dennis²,

Christides³

et al. 1992

J. Phys. Chem.

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“…5. We see that both J (1) and J (2) of the two bands in the two isotopes are almost identical, and thus their γ-transition energies are equal. Figure 6 shows the ∆I = 4 staggering parameter ∆ 4 E γ (I) by the five-point formula with respect to E γ (I) = E(I) − E(I − 4), the result shows a regular staggering (i.e.…”

Section: Numerical Calculations and Discussionmentioning

confidence: 81%

“…Near the spin where a crossing between two bands occurs, the energy levels are shifted up or down because of the interaction resulting in a staggering in the ∆ 4 E γ (I) plots. For the isotopes 236,238 U the kinematic J (1) and dynamic J (2) moments of inertia using our proposed model are calculated as a function of rotational frequency ω and illustrated in Fig. 5.…”

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confidence: 99%

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Energy Staggering in Ground Bands of²³²Th and^236,238U Nuclei Using the Interacting Vector Boson Model

Khalaf

Sirag

Kotb

2015

Commun. Theor. Phys.

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The ΔI = 2 and ΔI = 4 staggering parameters of transition energies Eγ for normally deformed positive parity ground bands in 232Th and 236,238U nuclei are studied in framework of the symplectic extension of the interacting vector boson model. The model parameters are obtained from the fitting procedure between the calculated excitation energies and the corresponding experimental ones. The staggering parameters represent the finite difference approximations to higher order derivatives dnEγ/dIn of the γ-ray transition energies in a ΔI = 2 and ΔI = 4 bands, which yielding multipoint formulae. The first order derivative (two-point formula) provides us with information about the dynamical moment of inertia. The staggering oscillation for the fourth order derivative (five-point formula) is about 0.5 KeV and is even larger than that in superdeformed bands. The quite similarity in dynamical moments of inertia of the isotopes 236,238U up to high spin states indicate that the phenomenon of identical bands is not restricted to superdeformed bands.

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