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  • 1
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 108 (1998), S. 2375-2382 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The multiplet structure of the rotational-tunneling peaks in the inelastic neutron-scattering spectrum of lithium acetate is widely regarded as evidence of coupled pairs of CH3 quantum rotors. However, our molecular-mechanics study, which has no adjustable parameters, reveals that rotor/rotor coupling is less important than translational/rotational coupling. In order to remain at a potential-energy minimum during CH3 group reorientation the center-of-mass of this group follows an almost circular path around its time-average position. The energy levels from this dynamical model reproduce the observed tunneling-transitions reasonably well, and the predicted rectangular density distribution of the three methyl H-atoms is in good agreement with that measured by single-crystal neutron diffraction. © 1998 American Institute of Physics.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    [S.l.] : International Union of Crystallography (IUCr)
    Acta crystallographica 49 (1993), S. 729-735 
    ISSN: 1600-5724
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Chemistry and Pharmacology , Geosciences , Physics
    Notes: A structure-factor calculation for two-dimensional rotation-translation coupling with planar molecules is presented. The starting point is a continuous description of the scattering-length-density distribution for a planar molecule that rotates around its symmetry axis. For the example of a molecule with threefold symmetry at a site with fourfold symmetry, the successive correction terms to the conventional rotational form factor are evaluated. This approach yields results equivalent to the split-molecule model. This is shown by an example of a structure refinement on Ni(ND3)6Br2 single-crystal data.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    [S.l.] : International Union of Crystallography (IUCr)
    Acta crystallographica 52 (1996), S. 171-175 
    ISSN: 1600-5724
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Chemistry and Pharmacology , Geosciences , Physics
    Notes: Symmetry-adapted functions (SAF's) of order L can be generated recursively from powers of a seed function or from products of SAF's having lower order l. The algorithm uses a symmetry-adapted version of the decomposition of products of spherical harmonic functions via Wigner 3-j symbols. The totally symmetric SAF's are calculated for the point group 2/m{\bar 3}{\bar 5} up to L = 30. For L = 30, the icosahedral group has two independent SAF's; a simple method is suggested for making a unique choice for these two SAF's.
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    [S.l.] : International Union of Crystallography (IUCr)
    Acta crystallographica 52 (1996), S. 176-188 
    ISSN: 1600-5724
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Chemistry and Pharmacology , Geosciences , Physics
    Notes: Bragg intensities from neutron and X-ray diffraction data of C60 single crystals were used to determine the nuclear- and electron-density distributions of C60 at room temperature. The anisotropic density distribution is reconstructed by the maximum-entropy method and evaluated in terms of symmetry-adapted spherical harmonics. From this analysis, the orientational probability density function f(ω) has been calculated and the rotational potential V(ω) that is experienced by a C60 molecule in the cubic surrounding at 295 K has been obtained. f(ω) shows strong deviations from the uniform orientational probability density function that would result from isotropic rotation. Accordingly, V(ω) exhibits well developed minima. The absolute potential minimum is found at an Euler-angle set ω1 and a second set of minima at slightly higher energy at ω2. The potential difference between V(ω1) and V(ω2) is 313 K, whereas the overall rotational potential barrier height amounts to 522 K. ω1 and ω2 are comparable with the major and minor orientations that are adopted by the molecules in their low-temperature arrangement. The angles ω1 and ω2 are fixed by the intrinsic geometry of the Euler-angle space (α, β, γ) under the combined action of the cubic site and the icosahedral molecular point group.
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    [S.l.] : International Union of Crystallography (IUCr)
    Acta crystallographica 52 (1996), S. 189-197 
    ISSN: 1600-5724
    Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001
    Topics: Chemistry and Pharmacology , Geosciences , Physics
    Notes: Accurate density data yield the primary information required for a thermodynamic model of molecular disorder. A detailed analysis of the structure from neutron Bragg data shows that the protons of the ammonia groups perform nearly unhindered rotations at room temperature as well as at 30 K. The nuclear density distribution is derived from a combination of conventional crystallographic split-atom density interpolation and maximum-entropy density reconstruction. The crystallographic density interpolation allows unique phases to be determined, i.e. phases that are independent of details of the model, for the measured Fourier components. MaxEnt reconstruction eliminates series-termination effects and provides for higher quality in the spatial resolution compared with standard Fourier maps. The proton density obtained in [Co(NH3)6](PF6)2 at both temperatures is concentrated on a plane perpendicular to the fourfold crystal axis and is found to be nearly circular, with a weak tetragonal contribution superimposed. This is a strong indication of nearly free uniaxial rotation in this compound. The proton density is analysed in terms of an anharmonic orientational potential, which couples rotational and translational motion. The nearly unhindered rotation in this compound is a consequence of the quasi-eightfold symmetry built up by the next-neighbour F atoms surrounding the NH3 groups in their plane of rotation.
    Type of Medium: Electronic Resource
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  • 6
    Electronic Resource
    Electronic Resource
    Amsterdam : Elsevier
    Physica B: Physics of Condensed Matter 156-157 (1989), S. 85-87 
    ISSN: 0921-4526
    Source: Elsevier Journal Backfiles on ScienceDirect 1907 - 2002
    Topics: Physics
    Type of Medium: Electronic Resource
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  • 7
    Electronic Resource
    Electronic Resource
    Springer
    The European physical journal 81 (1990), S. 259-263 
    ISSN: 1434-6036
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The ND3 group is in the high temperature phase of the title compound dynamically disordered. Fourier maps derived from the analysis of neutron single crystal Bragg data with phases based on a split atom and a Frenkel model show uniquely that each D3 group has four density maxima occupying the corners of a square. Neither one nor three dimensional models of purely rotational disorder can describe the observations adequately.
    Type of Medium: Electronic Resource
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  • 8
    ISSN: 1434-6036
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The ND3 group in Ni(ND3)6Br2 is orientationally disordered at room temperature: the D3 triangle gives rise to a density distribution with maxima on the corners of a square. We explain this observation as the consequence of a coupled rotational-translational motion of the molecule in a two-dimensional anharmonic single particle potential with tetragonal symmetry. Potential parameters are calculated from experimental data by a least squares procedure. From the total crystal potential of the D3 group we conclude that a combination of center of mass motion and rotation which is possible essentially without an energy barrier, is the basic process observed in quasielastic neutron scattering observations of the jump diffusion.
    Type of Medium: Electronic Resource
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