Low-dimensional physics of clay particle size distribution and layer ordering

Wang, Yifeng; Wang, Michael

doi:10.1038/s41598-022-11036-8

Low-dimensional physics of clay particle size distribution and layer ordering

Journal Article · Mon May 02 00:00:00 EDT 2022 · Scientific Reports

DOI:https://doi.org/10.1038/s41598-022-11036-8· OSTI ID:1865949

Wang, Yifeng; Wang, Michael

Abstract

Clays are known for their small particle sizes and complex layer stacking. We show here that the limited dimension of clay particles arises from the lack of long-range order in low-dimensional systems. Because of its weak interlayer interaction, a clay mineral can be treated as two separate low-dimensional systems: a 2D system for individual phyllosilicate layers and a quasi-1D system for layer stacking. The layer stacking or ordering in an interstratified clay can be described by a 1D Ising model while the limited extension of individual phyllosilicate layers can be related to a 2D Berezinskii–Kosterlitz–Thouless transition. This treatment allows for a systematic prediction of clay particle size distributions and layer stacking as controlled by the physical and chemical conditions for mineral growth and transformation. Clay minerals provide a useful model system for studying a transition from a 1D to 3D system in crystal growth and for a nanoscale structural manipulation of a general type of layered materials.

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Research Organization:: Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)

Sponsoring Organization:: USDOE; USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: NA0003525

OSTI ID:: 1865949

Alternate ID(s):: OSTI ID: 1870496

Report Number(s):: SAND2022-4812J; 7096; PII: 11036

Journal Information:: Scientific Reports, Journal Name: Scientific Reports Journal Issue: 1 Vol. 12; ISSN 2045-2322

Publisher:: Nature Publishing GroupCopyright Statement

Country of Publication:: United Kingdom

Language:: English

References (32)

Interlayer bonding energy of layered minerals: Implication for the relationship with friction coefficient: Separation energy of layered minerals Sakuma, Hiroshi; Suehara, Shigeru Journal of Geophysical Research: Solid Earth, Vol. 120, Issue 4 https://doi.org/10.1002/2015JB011900	journal	April 2015
Beitrag zur Theorie des Ferromagnetismus Ising, Ernst Zeitschrift für Physik, Vol. 31, Issue 1 https://doi.org/10.1007/BF02980577	journal	February 1925
A short range interaction model applied to illite/smectite mixed-layer minerals Blanc, P.; Bieber, A.; Fritz, B. Physics and Chemistry of Minerals, Vol. 24, Issue 8 https://doi.org/10.1007/s002690050075	journal	October 1997
On the Hohenberg–Mermin–Wagner Theorem and Its Limitations Halperin, Bertrand I. Journal of Statistical Physics, Vol. 175, Issue 3-4 https://doi.org/10.1007/s10955-018-2202-y	journal	December 2018
Multiscale modeling of swelling clays: A computational and experimental approach Katti, Dinesh R.; Matar, Mohamed I.; Katti, Kalpana S. KSCE Journal of Civil Engineering, Vol. 13, Issue 4 https://doi.org/10.1007/s12205-009-0243-0	journal	June 2009
On the ostwald ripening theory Vengrenovitch, R. D. Acta Metallurgica, Vol. 30, Issue 6 https://doi.org/10.1016/0001-6160(82)90004-9	journal	June 1982
Evaluation of irreversible reactions in geochemical processes involving minerals and aqueous solutions—II. Applications Helgeson, Harold C.; Garrels, Robert M.; MacKenzie, Fred T. Geochimica et Cosmochimica Acta, Vol. 33, Issue 4 https://doi.org/10.1016/0016-7037(69)90127-6	journal	April 1969
Weibull distribution of particle sizes obtained by uniform random fragmentation Tenchov, B. G.; Yanev, T. K. Journal of Colloid and Interface Science, Vol. 111, Issue 1 https://doi.org/10.1016/0021-9797(86)90002-0	journal	May 1986
Sur L'intégrale de Configuration Pour Les Systèmes De Particules À Une Dimension van Hove, L. Physica, Vol. 16, Issue 2 https://doi.org/10.1016/0031-8914(50)90072-3	journal	February 1950
Crystal synthesis of smectite applying very high pressure and temperature Nakazawa, H.; Yamada, H.; Fujita, T. Applied Clay Science, Vol. 6, Issue 5-6 https://doi.org/10.1016/0169-1317(92)90006-9	journal	June 1992
Exfoliation of montmorillonite and related properties of clay/polymer nanocomposites Zhu, Ting Ting; Zhou, Chun Hui; Kabwe, Freeman Bwalya Applied Clay Science, Vol. 169 https://doi.org/10.1016/j.clay.2018.12.006	journal	March 2019
Geochemical chaos: Periodic and nonperiodic growth of mixed-layer phyllosilicates Wang, Yifeng; Xu, Huifang Geochimica et Cosmochimica Acta, Vol. 70, Issue 8 https://doi.org/10.1016/j.gca.2006.01.002	journal	April 2006
Thermodynamic modelling of clay dehydration, stability and compositional evolution with temperature, pressure and H2O activity Vidal, O.; Dubacq, B. Geochimica et Cosmochimica Acta, Vol. 73, Issue 21 https://doi.org/10.1016/j.gca.2009.07.035	journal	November 2009
Thermodynamic properties of mixed-layer illite-smectite by calorimetric methods: Acquisition of the enthalpies of mixing of illite and smectite layers Gailhanou, H.; Blanc, P.; Rogez, J. The Journal of Chemical Thermodynamics, Vol. 138 https://doi.org/10.1016/j.jct.2019.06.004	journal	November 2019
On Ising's model of ferromagnetism Peierls, R. Mathematical Proceedings of the Cambridge Philosophical Society, Vol. 32, Issue 3 https://doi.org/10.1017/S0305004100019174	journal	October 1936
Flexibility of nanolayers and stacks: implications in the nanostructuration of clays Honorio, Tulio; Brochard, Laurent; Vandamme, Matthieu Soft Matter, Vol. 14, Issue 36 https://doi.org/10.1039/C8SM01359D	journal	January 2018
Evolution of Molecular Interactions in the Interlayer of Na-Montmorillonite Swelling Clay with Increasing Hydration Pradhan, Shashindra M.; Katti, Kalpana S.; Katti, Dinesh R. International Journal of Geomechanics, Vol. 15, Issue 5 https://doi.org/10.1061/(ASCE)GM.1943-5622.0000412	journal	October 2015
Mermin–Wagner fluctuations in 2D amorphous solids Illing, Bernd; Fritschi, Sebastian; Kaiser, Herbert Proceedings of the National Academy of Sciences, Vol. 114, Issue 8 https://doi.org/10.1073/pnas.1612964114	journal	January 2017
Surface geochemistry of the clay minerals Sposito, G.; Skipper, N. T.; Sutton, R. Proceedings of the National Academy of Sciences, Vol. 96, Issue 7 https://doi.org/10.1073/pnas.96.7.3358	journal	March 1999
Ordering, metastability and phase transitions in two-dimensional systems Kosterlitz, J M; Thouless, D J Journal of Physics C: Solid State Physics, Vol. 6, Issue 7, p. 1181-1203 https://doi.org/10.1088/0022-3719/6/7/010	journal	April 1973
Existence of Long-Range Order in One and Two Dimensions Hohenberg, P. C. Physical Review, Vol. 158, Issue 2 https://doi.org/10.1103/PhysRev.158.383	journal	June 1967
Exact cluster size distribution in the one-dimensional Ising model Yilmaz, M. B.; Zimmermann, Frank M. Physical Review E, Vol. 71, Issue 2 https://doi.org/10.1103/PhysRevE.71.026127	journal	February 2005
Absence of Ferromagnetism or Antiferromagnetism in One- or Two-Dimensional Isotropic Heisenberg Models Mermin, N. D.; Wagner, H. Physical Review Letters, Vol. 17, Issue 22 https://doi.org/10.1103/PhysRevLett.17.1133	journal	November 1966
Two-dimensional limit of crystalline order in perovskite membrane films Hong, Seung Sae; Yu, Jung Ho; Lu, Di Science Advances, Vol. 3, Issue 11 https://doi.org/10.1126/sciadv.aao5173	journal	November 2017
Ostwald Ripening of Clays and Metamorphic Minerals Eberl, Dennis D.; Środoń, Jan; Kralik, Martin Science, Vol. 248, Issue 4954 https://doi.org/10.1126/science.248.4954.474	journal	April 1990
Why are clay minerals small? Meunier, A. Clay Minerals, Vol. 41, Issue 2 https://doi.org/10.1180/0009855064120205	journal	June 2006
The Electrostatic Interlayer Forces of Layer Structure Minerals Giese, Rossman F. Clays and Clay Minerals, Vol. 26, Issue 1 https://doi.org/10.1346/CCMN.1978.0260106	journal	January 1978
Activity/Composition Relations among Silicates and Aqueous Solutions: II. Chemical and Thermodynamic Consequences of Ideal Mixing of Atoms on Homological Sites in Montmorillonites, Illites, and Mixed-Layer Clays Aagaard, Per Clays and Clay Minerals, Vol. 31, Issue 3 https://doi.org/10.1346/CCMN.1983.0310306	journal	January 1983
The Thermodynamic Status of Compositionally-Variable Clay Minerals: A Discussion Aja, Stephen U. Clays and Clay Minerals, Vol. 40, Issue 3 https://doi.org/10.1346/CCMN.1992.0400307	journal	January 1992
Comparison of Structural Models of Mixed-Layer Illite/Smectite and Reaction Mechanisms of Smectite Illitization Altaner, Stephen P. Clays and Clay Minerals, Vol. 45, Issue 4 https://doi.org/10.1346/CCMN.1997.0450404	journal	January 1997
Geological Aspects and Genesis of Bentonites Christidis, G. E.; Huff, W. D. Elements, Vol. 5, Issue 2 https://doi.org/10.2113/gselements.5.2.93	journal	April 2009
A generalized model for predicting the thermodynamic properties of clay minerals Blanc, P.; Vieillard, P.; Gailhanou, H. American Journal of Science, Vol. 315, Issue 8 https://doi.org/10.2475/08.2015.02	journal	October 2015

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