skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

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

Journal Article · · Scientific Reports

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.

Research Organization:
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Sponsoring Organization:
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 Vol. 12 Journal Issue: 1; ISSN 2045-2322
Publisher:
Nature Publishing GroupCopyright Statement
Country of Publication:
United Kingdom
Language:
English

References (30)

Exfoliation of montmorillonite and related properties of clay/polymer nanocomposites journal March 2019
Multiscale modeling of swelling clays: A computational and experimental approach journal June 2009
Ostwald Ripening of Clays and Metamorphic Minerals journal April 1990
Surface geochemistry of the clay minerals journal March 1999
Weibull distribution of particle sizes obtained by uniform random fragmentation journal May 1986
Geological Aspects and Genesis of Bentonites journal April 2009
The Electrostatic Interlayer Forces of Layer Structure Minerals journal January 1978
Two-dimensional limit of crystalline order in perovskite membrane films journal November 2017
On Ising's model of ferromagnetism journal October 1936
The Thermodynamic Status of Compositionally-Variable Clay Minerals: A Discussion journal January 1992
On the ostwald ripening theory journal June 1982
Ordering, metastability and phase transitions in two-dimensional systems journal April 1973
Comparison of Structural Models of Mixed-Layer Illite/Smectite and Reaction Mechanisms of Smectite Illitization journal January 1997
Interlayer bonding energy of layered minerals: Implication for the relationship with friction coefficient: Separation energy of layered minerals journal April 2015
Why are clay minerals small? journal June 2006
Mermin–Wagner fluctuations in 2D amorphous solids journal January 2017
Evaluation of irreversible reactions in geochemical processes involving minerals and aqueous solutions—II. Applications journal April 1969
A short range interaction model applied to illite/smectite mixed-layer minerals journal October 1997
Sur L'intégrale de Configuration Pour Les Systèmes De Particules À Une Dimension journal February 1950
Evolution of Molecular Interactions in the Interlayer of Na-Montmorillonite Swelling Clay with Increasing Hydration journal October 2015
Geochemical chaos: Periodic and nonperiodic growth of mixed-layer phyllosilicates journal April 2006
A generalized model for predicting the thermodynamic properties of clay minerals journal October 2015
Flexibility of nanolayers and stacks: implications in the nanostructuration of clays journal January 2018
On the Hohenberg–Mermin–Wagner Theorem and Its Limitations journal December 2018
Thermodynamic properties of mixed-layer illite-smectite by calorimetric methods: Acquisition of the enthalpies of mixing of illite and smectite layers journal November 2019
Exact cluster size distribution in the one-dimensional Ising model journal February 2005
Crystal synthesis of smectite applying very high pressure and temperature journal June 1992
Beitrag zur Theorie des Ferromagnetismus journal February 1925
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 journal January 1983
Thermodynamic modelling of clay dehydration, stability and compositional evolution with temperature, pressure and H2O activity journal November 2009

Similar Records

Molecular Scaffold Growth of Two-Dimensional, Strong Interlayer-Bonding-Layered Materials
Journal Article · Tue Mar 05 00:00:00 EST 2019 · CCS Chemistry · OSTI ID:1865949

Oscillating paramagnetic Meissner effect and Berezinskii-Kosterlitz-Thouless transition in underdoped Bi2Sr2CaCu2O8+δ
Journal Article · Mon Sep 18 00:00:00 EDT 2023 · National Science Review · OSTI ID:1865949

Clock model interpolation and symmetry breaking in O(2) models
Journal Article · Tue Sep 14 00:00:00 EDT 2021 · Physical Review D · OSTI ID:1865949

Related Subjects