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Nigmatullina EK, Kibalin IA, Sedov VP, Borisenkova AA, Bykov AA, Golosovsky IV. 'Phantom' atoms and thermal motion in fullerene C 60revealed by x-ray and neutron diffraction. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2021; 33:455401. [PMID: 34388734 DOI: 10.1088/1361-648x/ac1d6b] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/06/2021] [Accepted: 08/13/2021] [Indexed: 06/13/2023]
Abstract
The additional atomic occupancy in the octahedral and the tetrahedral voids of the face-centered cubic lattice (fcc) of fullerene C60was detected by neutron and x-ray powder diffraction. The observed occupancy exactly tracks the rearrangement of the orientation order with temperature decreases and results from the large atomic vibrations of the carbon atoms constituting the fullerene molecules. This motion assumes a small but finite probability to find the carbon atoms in the fcc interstitial voids, which is modeled by the detected 'phantom' occupancies.
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Affiliation(s)
- E K Nigmatullina
- National Research Center 'Kurchatov Institute', B. P. Konstantinov Petersburg Nuclear Physics Institute, 188300 Gatchina, Russia
| | - I A Kibalin
- National Research Center 'Kurchatov Institute', B. P. Konstantinov Petersburg Nuclear Physics Institute, 188300 Gatchina, Russia
- Laboratoire Léon Brillouin, CEA-CNRS, CE-Saclay, 91191 Gif-sur-Yvette, France
| | - V P Sedov
- National Research Center 'Kurchatov Institute', B. P. Konstantinov Petersburg Nuclear Physics Institute, 188300 Gatchina, Russia
| | - A A Borisenkova
- National Research Center 'Kurchatov Institute', B. P. Konstantinov Petersburg Nuclear Physics Institute, 188300 Gatchina, Russia
| | - A A Bykov
- National Research Center 'Kurchatov Institute', B. P. Konstantinov Petersburg Nuclear Physics Institute, 188300 Gatchina, Russia
| | - I V Golosovsky
- National Research Center 'Kurchatov Institute', B. P. Konstantinov Petersburg Nuclear Physics Institute, 188300 Gatchina, Russia
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Ye S, Xu M, FitzGerald S, Tchernyshyov K, Bačić Z. H2 in solid C60: Coupled translation-rotation eigenstates in the octahedral interstitial site from quantum five-dimensional calculations. J Chem Phys 2013; 138:244707. [DOI: 10.1063/1.4811220] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Yang J, Tse JS, Iitaka T. First-principles investigation on the geometry and electronic structure of the three-dimensional cuboidal C60 polymer. J Chem Phys 2007; 127:134906. [DOI: 10.1063/1.2771162] [Citation(s) in RCA: 14] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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Abstract
High resolution time-of-flight neutron powder diffraction has been used to determine the detailed structure of C
60
as a function of temperature. Rapid data collection coupled with high resolution has enabled subtle aspects of the 86 K orientational glass transition and precursor effects of the 260 K order-disorder transition to be observed. This surveying capability complements traditional single crystal methods. The power of the Rietveld method of profile refinement is demonstrated in the elucidation of the detailed crystal structure of the orientationally-ordered low temperature phase and in the evaluation of the departure from isotropic scattering of the C
60
molecule in the disordered high temperature phase. The counter-intuitive success in obtaining high-order cubic-harmonic coefficients, albeit to poorer precision than single crystal X-ray measurements, confirms the efficacy of the Rietveld profile refinement method. The collapse of three dimensions of diffraction information on to the one dimension of a high resolution powder diffraction pattern can still lead to an impressive amount of structural information that substantiates the assertion made by W. H. Bragg ‘the second method [powder diffraction], first used independently by Debye and Hull, can be used when the crystal is in powder, and can, therefore be employed when no single crystal can be obtained of sufficient size. All the spectra of the different planes are thrown together on the same diagram or photograph, and must be disentangled. This is not as difficult as it may seem . . . ’.
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Fox J, Lopinski G, Lannin J, Adams G, Page J, Fischer J. Neutron diffraction and structural models of RbC60 phases. Chem Phys Lett 1996. [DOI: 10.1016/0009-2614(95)01377-6] [Citation(s) in RCA: 20] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/16/2022]
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Launois P, Ravy S, Moret R. Diffuse scattering and orientational correlations in solid C60. PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 52:5414-5425. [PMID: 9981733 DOI: 10.1103/physrevb.52.5414] [Citation(s) in RCA: 21] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Chaplot SL, Pintschovius L, Haluska M, Kuzmany H. Orientational disorder in C60 below Ts: A diffuse-neutron-scattering study. PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 51:17028-17034. [PMID: 9978714 DOI: 10.1103/physrevb.51.17028] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Teslic S, Egami T, Fischer JE. Short-range antiferromagnetic orientational correlations in Rb3C60. PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 51:5973-5976. [PMID: 9979512 DOI: 10.1103/physrevb.51.5973] [Citation(s) in RCA: 14] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Erwin SC, Mele EL. Tight-binding parametrization of first-principles electronic dispersion in orientationally disordered A3C60. PHYSICAL REVIEW. B, CONDENSED MATTER 1994; 50:5689-5692. [PMID: 9976914 DOI: 10.1103/physrevb.50.5689] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Lamoen D, Michel KH. Crystal field, orientational order, and lattice contraction in solid C60. J Chem Phys 1994. [DOI: 10.1063/1.467768] [Citation(s) in RCA: 32] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Harris AB, Sachidanandam R, Yildirim T. Symmetry analysis of the 2a phase of C60. PHYSICAL REVIEW. B, CONDENSED MATTER 1994; 50:2622-2637. [PMID: 9976484 DOI: 10.1103/physrevb.50.2622] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Yu J, Bi L, Kalia RK, Vashishta P. Intermolecular and intramolecular phonons in solid C60: Effects of orientational disorder and pressure. PHYSICAL REVIEW. B, CONDENSED MATTER 1994; 49:5008-5019. [PMID: 10011436 DOI: 10.1103/physrevb.49.5008] [Citation(s) in RCA: 23] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Yu J, Kalia RK, Vashishta P. Effect of pressure on intermolecular and intramolecular phonons in solid C60. J Chem Phys 1993. [DOI: 10.1063/1.465504] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Burgos E, Halac E, Bonadeo H. Electrostatic interactions in solid C60. PHYSICAL REVIEW. B, CONDENSED MATTER 1993; 47:7542-7545. [PMID: 10004749 DOI: 10.1103/physrevb.47.7542] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Gugenberger F, Heid R, Meingast C, Adelmann P, Braun M, Wühl H, Haluska M, Kuzmany H. Glass transition in single-crystal C60 studied by high-resolution dilatometry. PHYSICAL REVIEW LETTERS 1992; 69:3774-3777. [PMID: 10046910 DOI: 10.1103/physrevlett.69.3774] [Citation(s) in RCA: 56] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Erwin SC, Pickett WE. Theoretical normal-state transport properties of K3C60. PHYSICAL REVIEW. B, CONDENSED MATTER 1992; 46:14257-14260. [PMID: 10003511 DOI: 10.1103/physrevb.46.14257] [Citation(s) in RCA: 16] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Chow PC, Jiang X, Reiter G, Wochner P, Moss SC, Axe JD, Hanson JC, McMullan RK, Meng RL, Chu CW. Synchrotron x-ray study of orientational order in single crystal C60 at room temperature. PHYSICAL REVIEW LETTERS 1992; 69:2943-2946. [PMID: 10046681 DOI: 10.1103/physrevlett.69.2943] [Citation(s) in RCA: 49] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Harris AB, Sachidanandam R. Orientational ordering of icosahedra in solid C60. PHYSICAL REVIEW. B, CONDENSED MATTER 1992; 46:4944-4957. [PMID: 10004256 DOI: 10.1103/physrevb.46.4944] [Citation(s) in RCA: 59] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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