1981
DOI: 10.1007/bfb0048204
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Single-particle rotations in molecular crystals

Abstract: This work is subject to copyright All rights are reserved, whether the whole or psrt of the material is concerned, specifically those of translation, reprinting, reuse of illustrations, broadcasting, reproduction by photocopying machine or similar means, and storage In data banks. Under § 54 of the German Copyright Law where copies are made for other than private use, a fee Is payable to ,.Verwertungsgesellschaft Wort", Munich.

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Cited by 144 publications
(84 citation statements)
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“…If the methyl groups are terminating some of the missing-linker defects, then we would observe the ground-state tunneling of a quasi-free methyl rotation because the methyl groups pointing toward the pores in the structure should have rather small rotational barriers. 32,33 In Figure 4 we show the neutron inelastic spectrum of our deuterated UiO-66 sample (the one used in our neutron powder diffraction experiment), measured at 1.5 K using a Disk−Chopper Spectrometer 34 (see measurement details in Supporting Information). The linker deuteration of the sample effectively reduced the interference of lowenergy framework vibrational modes (note that only the methyl groups are not deuterated because normal hydrogenated acetic acid was used in the sample synthesis).…”
Section: Journal Of the American Chemical Societymentioning
confidence: 99%
“…If the methyl groups are terminating some of the missing-linker defects, then we would observe the ground-state tunneling of a quasi-free methyl rotation because the methyl groups pointing toward the pores in the structure should have rather small rotational barriers. 32,33 In Figure 4 we show the neutron inelastic spectrum of our deuterated UiO-66 sample (the one used in our neutron powder diffraction experiment), measured at 1.5 K using a Disk−Chopper Spectrometer 34 (see measurement details in Supporting Information). The linker deuteration of the sample effectively reduced the interference of lowenergy framework vibrational modes (note that only the methyl groups are not deuterated because normal hydrogenated acetic acid was used in the sample synthesis).…”
Section: Journal Of the American Chemical Societymentioning
confidence: 99%
“…We note that the methyl group orientation and associated tunnel-splitting is a very sensitive probe for determination of the guest-host interactions. 6 For comparison, the neutron diffraction patterns from ZIF8 with the following D 2 concentrations: n D 2 ) 3, 16, 28 per 6 Zn are also shown in Figure 2 (also see Supporting Information). Using the model of the refined ZIF8 host structure, we performed Rietveld † NIST Center for Neutron Research.…”
mentioning
confidence: 99%
“…In the glassy state of polymeric materials, at temperatures well below the glass transition region, one can assume as a good approximation that the main-chain dynamics are completely frozenin and only small side units, as the methyl groups, can still remain mobile. In such conditions, the interaction between the methyl group and its environment is often well approximated by an effective mean-field or "single-particle" rotational potential [5][6][7]. The methyl group can be regarded as a rigid rotor because the strength of the C-H covalent bonds allows one to neglect the internal degrees of freedom in comparison with both translational and rotational motions of the group as a whole.…”
mentioning
confidence: 99%
“…Figure 1 shows the quantized energy levels of a threefold potential with barrier height V 3 = 500 K (in the following V 3 will be given as V 3 /k B , with k B the Boltzmann constant). Such levels are obtained [5][6][7] by solving the corresponding stationary Schrödinger equation, which in the case of a threefold potential takes the form of the well-known Mathieu equation (see, e.g., Ref. [8]).…”
mentioning
confidence: 99%
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