The kinetics of thermal expansion of a fullerite C60 sample saturated with helium impurity (4He–C60) was studied in the temperature range of 2–20 K using the low-temperature precision capacitance dilatometry method. Two processes with different characteristic times were identified in the thermal expansion of the sample: the faster process is associated with temperature equalization throughout the sample volume, while the slower one corresponds to relaxation phenomena in the orientational subsystem of the C60 crystal lattice, possibly of a tunneling nature. Based on the comparison of the relaxation times in the orientational subsystem with the previously obtained diffusion times of helium atoms in the octahedral voids of the fullerite crystal lattice, a hypothesis was made regarding the possible influence of the diffusion process on the low-temperature thermal expansion of the 4He–C60 system.
REFERENCES
1.
H. W.
Kroto
, J. R.
Heath
, S. C.
Obrien
, R. F.
Curl
, and R. E.
Smalley
, “C60: Buckminsterfullerene
,” Nature
318
, 162
(1985
). 2.
W.
Krätschmer
, K.
Fostiropoulos
, and D. R.
Huffman
, “The infrared and ultraviolet absorption spectra of laboratory-produced carbon dust: Evidence for the presence of the C60 molecule
,” Chem. Phys. Lett
. 170
, 167
(1990
). 3.
P. A.
Heiney
, G. B.
Vaughan
, J. E.
Fischer
, N.
Coustel
, D. E.
Cox
, J. R.
Copley
, D. A.
Neumann
, W. A.
Kamitakahara
, K. M.
Creegan
, D. M.
Cox
, J. P.
McCauley
, and A. B.
Smith
, “Discontinuous volume change at the orientational-ordering transition in solid C60
,” Phys. Rev. B
45
, 4544
(1992
). 4.
R.
Saito
, G.
Dresselhaus
, and M. S.
Dresselhaus
, “Hindered rotation of solid 12C60 and 13C60
,” Phys. Rev. B
50
, 5680
(1994
). 5.
Y.
Quo
, N.
Karasawa
, and W. A.
Goddard
, “Prediction of fullerene packing in C60 and C70 crystals
,” Nature
351
, 464
(1991
). 6.
J. P.
Lu
, X.-P.
Li
, and R. M.
Martin
, “Ground state and phase transitions in solid C60
,” Phys. Rev. Lett
. 68
, 1551
(1992
). 7.
V. D.
Natsik
and A. V.
Podolskiy
, “Theory of orientational relaxation in the low-temperature phase of fullerite C60
,” Fiz. Nizk. Temp
. 24
, 689
(1998
) [Low Temp. Phys.
24, 523 (1998)]. 8.
M. J.
Rosseinsky
, “Fullerene intercalation chemistry
,” J. Mater. Chem.
5
, 1497
(1995
). 9.
C. H.
Pennington
and V. A.
Stenger
, “Nuclear magnetic resonance of C60 and fulleride superconductors
,” Rev. Mod. Phys
. 68
, 855
(1996
). 10.
A. F.
Hebard
, “Buckminsterfullerene
,” Ann. Rev. Mater. Res
. 23
, 159
(1993
). 11.
A. N.
Aleksandrovskii
, A. V.
Dolbin
, V. B.
Esel’son
, V. G.
Gavrilko
, V. G.
Manzhelii
, B. G.
Udovidchenko
, A. S.
Bakai
, G. E.
Gadd
, S.
Moricca
, and B.
Sundqvist
, “Low-temperature thermal expansion of pure and inert-gas-doped fullerite C60
,” Fiz. Nizk. Temp
. 29
, 432
(2003
) [Low Temp. Phys.
29, 324 (2003)]. 12.
A. N.
Aleksandrovskii
, A. V.
Dolbin
, V. B.
Esel’son
, V. G.
Gavrilko
, V. G.
Manzhelii
, A. S.
Bakai
, D.
Cassidy
, G. E.
Gadd
, S.
Moricca
, and B.
Sundqvist
, “On the polyamorphism of fullerite-based orientational glasses
,” Fiz. Nizk. Temp.
31
, 565
(2005
) [Low Temp. Phys.
31, 429 (2005)]. 13.
V. G.
Manzhelii
, A. V.
Dolbin
, V. B.
Esel’son
, V. G.
Gavrilko
, G. E.
Gadd
, S.
Moricca
, D.
Cassidy
, and B.
Sundqvist
, “Thermal expansion and polyamorphism of N2–C60 solutions
,” Fiz. Nizk. Temp
. 32
, 916
(2006
) [Low Temp. Phys.
32, 695 (2006)]. 14.
A. V.
Dolbin
, N. A.
Vinnikov
, V. G.
Gavrilko
, V. B.
Esel’son
, V. G.
Manzhelii
, and B.
Sundqvist
, “Influence of dissolved oxygen on the thermal expansion and polyamorphism of fullerite C60
,” Fiz. Nizk. Temp
. 33
, 618
(2007
) [Low Temp. Phys.
33, 465 (2007)]. 15.
A. V.
Dolbin
, V. B.
Esel’son
, V. G.
Gavrilko
, V. G.
Manzhelii
, N. A.
Vinnikov
, G. E.
Gadd
, S.
Moricca
, D.
Cassidy
, and B.
Sundqvist
, “Specific features of thermal expansion and polyamorphism in CH4–C60 solutions at low temperatures
,” Fiz. Nizk. Temp
. 33
, 1401
(2007
) [Low Temp. Phys.
33, 1068 (2007)]. 16.
A. V.
Dolbin
, V. B.
Esel’son
, V. G.
Gavrilko
, V. G.
Manzhelii
, N. A.
Vinnikov
, G. E.
Gadd
, S.
Moricca
, D.
Cassidy
, and B.
Sundqvist
, “The effect of the noncentral impurity–matrix interaction upon the thermal expansion and polyamorphism of CO–C60 solid solutions at low temperatures
,” Fiz. Nizk. Temp
. 34
, 592
(2008
) [Low Temp. Phys.
34, 470 (2008)]. 17.
A. V.
Dolbin
, N. A.
Vinnikov
, V. G.
Gavrilko
, V. B.
Esel’son
, V. G.
Manzheliĭ
, G. E.
Gadd
, S.
Moricca
, D.
Cassidy
, and B.
Sundqvist
, “Thermal expansion of solutions of deuteromethane in fullerite C60 at low temperatures. isotopic effect
,” Fiz. Nizk. Temp
. 35
, 299
(2009
) [Low Temp. Phys.
35, 226 (2009)]. 18.
K. A.
Yagotintsev
, M. A.
Strzhemechny
, Yu. E.
Stetsenko
, I. V.
Legchenkova
, and A. I.
Prokhvatilov
, “Diffusion of He atoms in fullerite C60
,” Physica B: Condens. Matter
381
, 224
(2006
). 19.
A. F.
Andreev
and I. M.
Lifshitz
, “Quantum theory of defects in crystals
,” JETP
56
(6
), 2057
(1969
). 20.
M. G.
Richards
, J.
Pope
, and A.
Widom
, “Evidence for isotopic impuritons in solid helium
,” Phys. Rev. Lett.
29
, 708
(1972
). 21.
Yu. E.
Stetsenko
, I. V.
Legchenkova
, K. A.
Yagotintsev
, A. I.
Prokhvatilov
, and M. A.
Strzhemechnyĭ
, “Intercalation of C60 fullerite with helium and argon at normal temperature and pressure
,” Fiz. Nizk. Temp
. 29
, 597
(2003
) [Low Temp. Phys.
29, 445 (2003)]. 22.
C. P.
Chen
, S.
Mehta
, L. P.
Fu
, A.
Petrou
, F. M.
Gasparini
, and A.
Hebard
, “Sorption of helium by fullerite crystals and films
,” Phys. Rev. Lett.
71
, 739
(1993
). 23.
A. V.
Dolbin
, V. B.
Esel’son
, V. G.
Gavrilko
, V. G.
Manzhelii
, N. A.
Vinnikov
, and S. N.
Popov
, “Kinetics of 4He gas sorption by fullerite C60. quantum effects
,” Fiz. Nizk. Temp
. 36
, 1352
(2010
) [Low Temp. Phys.
36, 1091 (2010)]. 24.
A. V.
Dolbin
, V. B.
Esel’son
, V. G.
Gavrilko
, V. G.
Manzhelii
, N. A.
Vinnikov
, and S. N.
Popov
, “Kinetics of the sorption of 3He by C60 fullerite. The quantum diffusion of 3He and 4He in fullerite
,” JETP Lett
. 93
, 577
(2011
). 25.
V. N.
Grigor’ev
, B. N.
Esel’son
, V. A.
Mikheev
, and Yu. E.
Shul’man
, “Quantum diffusion of 3He impurities in solid 4He
,” JETP Lett
. 17
, 25
(1973
).26.
A. F.
Andreev
, “Diffusion in quantum crystals
,” Sov. Phys. Usp.
19
, 137
(1976
). 27.
Yu.
Kagan
, “Quantum diffusion in solids
,” J. Low Temp. Phys.
87
, 525
(1992
). 28.
V. N.
Grigoriev
, B. N.
Eselson
, and V. A.
Mikheev
, “Detection and study of quantum diffusion of 3He in solid helium
,” Fiz. Nizk. Temp
. 1
, 571
(1975
) [Sov. J. Low Temp. Phys.
1, 277 (1975)]. 29.
V. A.
Slyusarev
, M. A.
Strzhemechnyi
, and I. A.
Burakhovich
, “Quantized diffusion of 3He in solid 4He. II. The tunnel-jump approximation
,” Fiz. Nizk. Temp
. 4
, 698
(1978
) [Sov. J. Low Temp. Phys.
4, 571 (1978)]. 30.
J. E.
Sacco
and A.
Widom
, “Quantum mobility 3He impurity atoms in solid 4He
,” Phys. Rev. B
17
, 204
(1978
). 31.
V. N.
Grigoriev
, “Diffusion in solid helium
,” Fiz. Nizk. Temp.
23
, 5
(1997
). [Low Temp. Phys.
23, 3 (1997)]. 32.
S.
Hunklinger
, Tunneling states, In: Amorphous Insulators and Semiconductors
(Kluwer Acad. Publ
., Dordrecht, Netherlands
1997
), p. 469.33.
V. M.
Loktev
, Y. G.
Pogorelov
, and J. N.
Khalack
, “Low-temperature orientational ordering and possible domain structures in C60 fullerite
,” Fiz. Nizk. Temp
. 27
, 539
(2001
) [Low Temp. Phys.
27, 397 (2001)]. 34.
J. M.
Khalack
and V. M.
Loktev
, “On the orientational relief of the intermolecular potential and the structure of domain walls in fullerite C60
,” Fiz. Nizk. Temp
. 29
, 577
(2003
) [Low Temp. Phys.
29, 429 (2003)]. 35.
D. C.
Heberlein
and E. D.
Adams
, “Thermal expansion of solid methane
,” J. Low Temp. Phys.
3
, 115
(1970
). 36.
A. N.
Aleksandrovskii
, V. B.
Kokshenev
, V. G.
Manzhelii
, and A. M.
Tolkachev
, “Thermal expansion of solid methane and conversion processes
,” Fiz. Nizk. Temp.
4
, 915
(1978
). [Sov. J. Low Temp. Phys.
4, 435 (1978)]. 37.
A. N.
Aleksandrovskii
, V. G.
Manzhelii
, V. B.
Esel’son
, and B. G.
Udovidchenko
, “Influence of rotational motion of nitrogen molecules on the thermal expansion of solid solutions of Ar−N2: A new effect
,” J. Low Temp. Phys
. 108
, 290
(1997
). 38.
F. W.
Sheard
, “The low-temperature thermal expansion of solid methane and deuterated methanes
,” AIP Conf. Proc.
3
, 151
(1972
). 39.
Yu. A.
Freiman
, “The nature of negative thermal expansion of solid methane
,” Fiz. Nizk. Temp.
9
, 657
(1983
). [Sov. J. Low Temp. Phys.
9, 335 (1983)]. 40.
Yu. A.
Freiman
, V. V.
Vengerovsky
, and A. F.
Goncharov
, “Negative thermal expansion in solid deuteromethane
,” Fiz. Nizk. Temp.
46
, 1331
(2020
) [Low Temp. Phys.
46, 1132 (2020)]. 41.
O. S.
Bakai
, “On polyamorphism in heterophase matter
,” Fiz. Nizk. Temp.
49
, 658
(2023
). [Low Temp. Phys.
49, 601 (2023)]. 42.
W. I. F.
David
, R. M.
Ibberson
, T. J. S.
Dennis
, J. P.
Hare
, and K.
Prassides
, “Structural phase transitions in the fullerene C60
,” EPL
18
, 219
(1992
). 43.
V. G.
Manzhelii
and Yu. A.
Freiman
, Physics of Cryocrystals
(American Institute of Physics
, Melville, NY
1998
).44.
A. V.
Dolbin
, M. V.
Khlistuck
, V. B.
Eselson
, V. G.
Gavrilko
, N. A.
Vinnikov
, R. M.
Basnukaeva
, V. V.
Danchuk
, V. A.
Konstantinov
, and Y.
Nakazawa
, “Peculiarities of thermal expansion of quasi-two-dimensional organic conductor κ-(BEDT–TTF)2Cu[N(CN)2]Cl
,” Fiz. Nizk. Temp
. 42
, 1007
(2016
) [Low Temp. Phys.
42, 788 (2016)]. 45.
N. A.
Vinnikov
, A. V.
Dolbin
, R. M.
Basnukaeva
, V. G.
Gavrilko
, V. B.
Eselson
, and L. M.
Buravtseva
, “Quantum effects in the low-temperature thermal expansion of fullerite C60 doped with a 4He impurity
,” Fiz. Nizk. Temp
. 48
, 897
(2022
) [Low Temp. Phys.
48, 791 (2022)]. 46.
H.
Wang
, C.
Zeng
, B.
Wang
, J. G.
Hou
, Q.
Li
, and J.
Yang
, “Orientational configurations of the C60 molecules in the (2 × 2) superlattice on a solid C60 (111) surface at low temperature
,” Phys. Rev. B
63
, 085417
(2001
). 47.
J. G.
Hou
, Y.
Jinlong
, W.
Haiqian
, L.
Qunxiang
, Z.
Changgan
, Y.
Lanfeng
, W.
Bing
, D. M.
Chen
, and Z.
Qingshi
, “Topology of two-dimensional C60 domains
,” Nature
409
, 304
(2001
). 48.
L. S.
Palatnik
, A. A.
Nechitailo
, and A. A.
Kozma
, “Polyamorphism and short-range order substructure in amorphous boron films
,” Dok. Akad. Nauk USSR
261
(5
), 1134
(1981
).49.
C. A.
Angell
, “Formation of glasses from liquids and biopolymers
,” Science
267
, 1924
(1995
). 50.
P. H.
Poole
, T.
Grande
, F.
Sciortino
, H. E.
Stanley
, and C. A.
Angell
, “Amorphous polymorphism
,” Comput. Mater. Sci.
4
, 373
(1995
). 51.
A. S.
Bakai
, M. P.
Fateev
, and Yu. A.
Turkin
, Topology, properties and thermodynamics of amorphous carbon
, in: Nanostructured Carbon for Advanced Applications
, edited by, G.
Benedek
, P.
Milani
, and V. G.
Ralchenko
(Springer
, Netherlands, Dordrecht
, 2001
), p. 185
.52.
A. I.
Prokhvatilov
, N. N.
Galtsov
, I. V.
Legchenkova
, M. A.
Strzhemechny
, D.
Cassidy
, G. E.
Gadd
, S.
Moricca
, B.
Sundqvist
, and N. A.
Aksenova
, “Hysteretic phenomena in Xe-doped C60 from X-ray diffraction
,” Fiz. Nizk. Temp
. 31
, 565
(2005
) [Low Temp. Phys.
31, 445 (2005)]. 53.
V. B.
Efimov
, L. P.
Mezhov-Deglin
, R. K.
Nikolaev
, and N. S.
Sidorov
, “Thermal conductivity of fullerite C60 crystals at low temperatures
,” Fiz. Nizk. Temp
. 27
, 558
(2001
) [Low Temp. Phys.
27, 412 (2001)]. © 2025 Author(s). Published under an exclusive license by AIP Publishing.
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