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We consider the effects of anisotropic coherency strain (due to lattice mismatch) on phase separation in intercalation materials, motivated by the high-rate Li-ion battery material \fepo. Using a phase-field model coupled to elastic…

Materials Science · Physics 2012-02-09 Liam G. Stanton , Martin Z. Bazant

We develop a continuum phase-field model for the simulation of diffusion limited solid-solid phase transformations during lithium insertion in LiFePO4-nano-particles. The solid-solid phase boundary between the LiFePO4 (LFP)-phase and the…

Materials Science · Physics 2018-07-20 Michael Fleck , Holger Federmann , Evgeny Pogorelov

Lithium iron phosphate (LiFePO$_4$) is the prototypical two-phase battery material, whose complex patterns of lithium ion intercalation provide a testing ground for theories of electrochemical thermodynamics. Using a depth-averaged (a-b…

Chemical Physics · Physics 2018-08-21 Daniel A. Cogswell , Martin Z. Bazant

Coherent elastic strain is an important but often neglected contribution to phase-separation thermodynamics in alloy systems where decomposed phases have appreciable lattice mismatch. We develop a thermodynamic framework that incorporates…

Materials Science · Physics 2026-05-05 Siya Zhu , Raymundo Arróyave

Most of the commercially important alloys are multicomponent, producing multiphase microstructures as a result of processing. When the coexisting phases are elastically coherent, the elastic interactions between these phases play a major…

Materials Science · Physics 2019-04-17 Sandeep Sugathan , Saswata Bhattacharya

Elastic interactions arising from a difference of lattice spacing between two coherent phases can have a strong influence on the phase separation (coarsening) of alloys. If the elastic moduli are different in the two phases, the elastic…

Mathematical Physics · Physics 2015-06-26 P. Fratzl , O. Penrose , J. L. Lebowitz

Using a novel electrochemical phase-field model, we question the common belief that LixFePO4 nanoparticles separate into Li-rich and Li-poor phases during battery discharge. For small currents, spinodal decomposition or nucleation leads to…

Materials Science · Physics 2015-03-13 Peng Bai , Daniel A. Cogswell , Martin Z. Bazant

Using a recently-proposed mathematical model for intercalation dynamics in phase-separating materials [Singh, Ceder, Bazant, Electrochimica Acta 53, 7599 (2008)], we show that the spinodal and miscibility gaps generally shrink as the host…

Materials Science · Physics 2016-09-21 Damian Burch , Martin Z. Bazant

The influence of elastic strain on the lithium vacancy formation and migration in bulk LiCoO2 is evaluated by means of first-principles calculations within density functional theory (DFT). Strain dependent energies are determined directly…

Materials Science · Physics 2018-02-07 Ashkan Moradabadi , Payam Kaghazchi , Jochen Rohrer , Karsten Albe

In nanoparticulate phase-separating electrodes, phase separation inside the particles can be hindered during their charge/discharge cycles even when a thermodynamic driving force for phase separation exists. In such cases, particles may…

Materials Science · Physics 2013-09-26 Bernardo Orvananos , Todd R. Ferguson , Hui-Chia Yu , Martin Z. Bazant , Katsuyo Thornton

A general continuum theory is developed for ion intercalation dynamics in a single crystal of a rechargeable battery cathode. It is based on an existing phase-field formulation of the bulk free energy and incorporates two crucial effects:…

Materials Science · Physics 2010-11-17 G. K. Singh , M. Z. Bazant , G. Ceder

This work extends the Cahn--Larch\'e thermodynamic framework to binary alloys in which two coherent solid phases coexist with an incoherent liquid and investigates how coherency strain energy modifies classical eutectic and peritectic…

Materials Science · Physics 2026-02-18 Samiah Hassan , Jiayang Wang , Teddy Meissner , Pierre A. Deymier , Marat I. Latypov

Surface strain plays a key role in enhancing the activity of Pt-alloy nanoparticle oxygen reduction catalysts. However, the details of strain effects in real fuel cell catalysts are not well-understood, in part due to a lack of strain…

Materials Science · Physics 2023-05-31 Elliot Padgett , Megan E. Holtz , Anusorn Kongkanand , David A. Muller

The precipitate shape, size and distribution are crucial factors which determine the properties of several technologically important alloys. Elastic interactions between the inclusions modify their morphology and align them along…

Materials Science · Physics 2019-06-25 Sandeep Sugathan , Saswata Bhattacharya

We report the high temperature impedance and dielectric measurement of the nanocomposites comprising of CoFe2O4 (CFO) and LaNiO3 (LNO) by changing the content of LaNiO3 (0, 5, 10 and 15 %). The aim of the present study is to relate the…

Applied Physics · Physics 2020-01-08 Ananya Patra , V Prasad

A recent study has demonstrated that phase separation in binary liquid mixtures is arrested in the presence of elastic networks and can lead to a nearly uniformly-sized distribution of the dilute-phase droplets. At longer timescales, these…

Soft Condensed Matter · Physics 2020-10-28 Mrityunjay Kothari , Tal Cohen

Lithium iron phosphate (LixFePO4), a cathode material used in rechargeable Li-ion batteries, phase separates upon de/lithiation under equilibrium. The interfacial structure and chemistry within these cathode materials affects Li-ion…

It is shown how the combination of atomic deposition and nonlinear diffusion may lead, below a critical temperature, to the growth of nonuniform layers on a substrate. The dynamics of such a system is of the Cahn-Hilliard type, supplemented…

Pattern Formation and Solitons · Physics 2013-07-22 Daniel Walgraef

We investigate phase separation including elastic coherency effects in the bulk and at surfaces and find a reduction of the solubility limit in the presence of free surfaces. This mechanism favours phase separation near free surfaces even…

Materials Science · Physics 2016-11-23 R. Spatschek , G. Gobbi , C. Hüter , A. Chakrabarty , U. Aydin , S. Brinckmann , J. Neugebauer

We discuss several issues regarding material homogeneity and strain compatibility for materially uniform thin elastic shells from the viewpoint of a 3-dimensional theory, with small thickness, as well as a 2-dimensional Cosserat theory. A…

Mathematical Physics · Physics 2015-06-26 Ayan Roychowdhury , Anurag Gupta
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