Electrochemomechanics with flexoelectricity and modelling of electrochemical strain microscopy in mixed ionic-electronic conductors

Recently, a new scanning probe microscopy approach, referred to as electrochemical strain microscopy (ESM), for probing local ionic flows and electrochemical reactions in solids based on the bias-strain coupling was proposed by Morozovska et al. Then, a series of theoretical papers for analyzing the image formation and spectroscopic mechanism of ESM were published within the framework of Fermi-Dirac statistics, the Vegard law, the direct flexoelectric coupling effect, the electrostriction effect, and so on. However, most of the models in these papers are limited to the partial coupling or particular process, and numerically solved by using decoupling approximation. In this paper, to model the ESM measurement with the coupling electrical-chemical-mechanical process, the chemical Gibbs function variational principle for the thermal electrical chemical mechanical fully coupling problem is proposed. The fully coupling governing equations are derived from the variational principle. When the tip concentrates th...

[1]  Jiangyu Li,et al.  Scanning thermo-ionic microscopy for probing local electrochemistry at the nanoscale , 2016 .

[2]  S. Shen,et al.  Improved approach to measure the direct flexoelectric coefficient of bulk polyvinylidene fluoride , 2016 .

[3]  S. Shen,et al.  Shear flexoelectric response along 3121 direction in polyvinylidene fluoride , 2015 .

[4]  A. Kholkin,et al.  Li transport in fresh and aged LiMn2O4 cathodes via electrochemical strain microscopy , 2015 .

[5]  Sergei V. Kalinin,et al.  Self-consistent modelling of electrochemical strain microscopy in mixed ionic-electronic conductors: Nonlinear and dynamic regimes , 2015 .

[6]  A. Kholkin,et al.  Electrochemical strain microscopy time spectroscopy: Model and experiment on LiMn2O4 , 2015 .

[7]  Q. Chen,et al.  Imaging space charge regions in Sm-doped ceria using electrochemical strain microscopy , 2014 .

[8]  S. Shen,et al.  A Fully Coupled Theory and Variational Principle for Thermal–Electrical–Chemical–Mechanical Processes , 2014 .

[9]  Anna N. Morozovska,et al.  Nonlinear space charge dynamics in mixed ionic-electronic conductors: Resistive switching and ferroelectric-like hysteresis of electromechanical response , 2014 .

[10]  S. Bu,et al.  Flexoelectric Control of Defect Formation in Ferroelectric Epitaxial Thin Films , 2014, Advanced materials.

[11]  J. Svoboda,et al.  Thermodynamic extremal principles for irreversible processes in materials science , 2014 .

[12]  R. Proksch.  Electrochemical strain microscopy of silica glasses , 2013, 1312.6933.

[13]  A. Tagantsev,et al.  Fundamentals of flexoelectricity in solids , 2013, Nanotechnology.

[14]  Pavlo Zubko,et al.  Flexoelectric Effect in Solids , 2013 .

[15]  S. Shen,et al.  Non-equilibrium thermodynamics and variational principles for fully coupled thermal–mechanical–chemical processes , 2013 .

[16]  Amit Kumar,et al.  Variable temperature electrochemical strain microscopy of Sm-doped ceria , 2013, Nanotechnology.

[17]  Sergei V. Kalinin,et al.  Three-dimensional vector electrochemical strain microscopy , 2012 .

[18]  G. Cao,et al.  Delineating local electromigration for nanoscale probing of lithium ion intercalation and extraction by electrochemical strain microscopy , 2012 .

[19]  S. Craig.  Mechanochemistry: A tour of force , 2012, Nature.

[20]  Sergei V. Kalinin,et al.  Electrochemical strain microscopy: Probing ionic and electrochemical phenomena in solids at the nanometer level , 2012 .

[21]  Sergei V. Kalinin,et al.  Electrochemical strain microscopy with blocking electrodes: The role of electromigration and diffusion , 2011, 1112.3768.

[22]  Sergei V. Kalinin,et al.  Frequency dependent dynamical electromechanical response of mixed ionic-electronic conductors , 2011, 1112.3766.

[23]  Sergei V. Kalinin,et al.  Nanoscale electromechanics of paraelectric materials with mobile charges: Size effects and nonlinearity of electromechanical response of SrTiO3films , 2011, 1102.5526.

[24]  Sergei V. Kalinin,et al.  Thermodynamics of electromechanically coupled mixed ionic-electronic conductors: Deformation potential, Vegard strains, and flexoelectric effect , 2010, 1012.4324.

[25]  Stephen Jesse,et al.  Decoupling electrochemical reaction and diffusion processes in ionically-conductive solids on the nanometer scale. , 2010, ACS nano.

[26]  S. Shen,et al.  Variational principles and governing equations in nano-dielectrics with the flexoelectric effect , 2010 .

[27]  Shuling Hu,et al.  A theory of flexoelectricity with surface effect for elastic dielectrics , 2010 .

[28]  Sergei V. Kalinin,et al.  Local probing of ionic diffusion by electrochemical strain microscopy: Spatial resolution and signal formation mechanisms , 2010, 1004.0507.

[29]  Z. Kuang.  Variational principles for generalized thermodiffusion theory in pyroelectricity , 2010 .

[30]  C. Landis,et al.  Piezoelectric thin-film superlattices without using piezoelectric materials , 2010, 1003.2745.

[31]  Sergei V. Kalinin,et al.  Electromechanical Probing of Ionic Currents in Energy Storage Materials , 2010, 1002.0961.

[32]  E. Wachsman,et al.  Surface and bulk oxygen non-stoichiometry and bulk chemical expansion in gadolinium-doped cerium oxide , 2009 .

[33]  Z. Kuang.  Variational principles for generalized dynamical theory of thermopiezoelectricity , 2009 .

[34]  Y. Demirel.  Modeling of thermodynamically coupled reaction-transport systems , 2008 .

[35]  Z. Kuang.  Some variational principles in elastic dielectric and elastic magnetic materials , 2008 .

[36]  Wenhui Ma.  A study of flexoelectric coupling associated internal electric field and stress in thin film ferroelectrics , 2008 .

[37]  K. Zhenbang.  Some problems in electrostrictive and magnetostrictive materials , 2007 .

[38]  J. Qu,et al.  An electrochemomechanical theory of defects in ionic solids. I. Theory , 2007 .

[39]  N. Swaminathan,et al.  An electrochemomechanical theory of defects in ionic solids. Part II. Examples , 2007 .

[40]  M. Bazant,et al.  Steric effects in the dynamics of electrolytes at large applied voltages. II. Modified Poisson-Nernst-Planck equations. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

[41]  M. Bazant,et al.  Steric effects in the dynamics of electrolytes at large applied voltages. I. Double-layer charging. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

[42]  J. F. Dinhut,et al.  On the growth strain origin and stress evolution prediction during oxidation of metals , 2006 .

[43]  D. Clarke.  The lateral growth strain accompanying the formation of a thermally grown oxide , 2003 .

[44]  L. Eric Cross,et al.  Large flexoelectric polarization in ceramic lead magnesium niobate , 2001 .

[45]  Martin Berzins,et al.  A Method for the Spatial Discretization of Parabolic Equations in One Space Variable , 1990, SIAM J. Sci. Comput..

[46]  A. Tagantsev,et al.  Piezoelectricity and flexoelectricity in crystalline dielectrics. , 1986, Physical review. B, Condensed matter.

[47]  Hung-Chih Chang,et al.  Polarization in Electrolytic Solutions. Part I. Theory , 1952 .

[48]  E. Aifantis,et al.  On the direct interactions between heat transfer, mass transport and chemical processes within gradient elasticity , 2007 .