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Cooperation: Prof. Dr. J. Kortus

Cooperation: Prof. Dr. J. Kortus. Cooperation: Prof. Dr. H.J. Seifert. Thermodynamics and Kinetics of Processes of the Intercalation/De-Intercalation in Submicron Particles of Cathode Li-ions Batteries. С.Н. Поляков. World production.

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Cooperation: Prof. Dr. J. Kortus

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  1. Cooperation: Prof. Dr. J. Kortus Cooperation: Prof. Dr. H.J. Seifert Thermodynamics and Kinetics of Processes of the Intercalation/De-Intercalation in Submicron Particles of Cathode Li-ions Batteries С.Н. Поляков S.N. Polyakov, J. Kortus, H.J. Seifert Bauman MHTU, January 26-28, 2011, Moscow

  2. World production S.N. Polyakov, J. Kortus, H.J. SeifertМГТУ им.Баумана, 26-28 января, 2011, Москва

  3. Lithium-ion batteryCathodes S.N. Polyakov, J. Kortus, H.J. Seifert Bauman MHTU, January 26-28, 2011, Moscow

  4. Comparison of the gravimetric and volumetric energy densities of various rechargeable battery systems* *)A. Manthiram, Lithium batteries, Edited by Gholam-Abbas Nazri, USA, Springer, 2009. S.N. Polyakov, J. Kortus, H.J. Seifert Bauman MHTU, January 26-28, 2011, Moscow

  5. Schematic illustration of the charge/discharge in lithium-ion cell Li O c Li Mn Charge (de-intercalation) Discharge (intercalation) S.N. Polyakov, J. Kortus, H.J. Seifert Bauman MHTU, January 26-28, 2011, Moscow

  6. Problem of the cyclability (Material degradation) Cycling crumbling (chemical corrosion) [**] Crack after cycling [*] Optimal distribution of size of the cathode particles [*] J. of Power Sources 140 (2005) 125-128 [**] J. of Power Sources 143 (2005) 203-211 [***] Solid State Ionics 167 (2004) 237-242 Cyclability data for LiMn2O4 cathode[***] S.N. Polyakov, J. Kortus, H.J. Seifert Bauman MHTU, January 26-28, 2011, Moscow

  7. ThermodynamicLarch-Cahn-Theory (1) Maxwell’s relations The chemical strain tenzor for cubic symmetry (2) (3) For small deformations Partial molar volume of Li in the host lattice Cubic cell LiMn2O4 (4) - hydrostatic stress S.N. Polyakov, J. Kortus, H.J. Seifert Bauman MHTU, January 26-28, 2011, Moscow

  8. Kinetics of the Li-ion in Electrode Porous electrode Li-ion flux density, Onsager Theory Particle Binder - Li-ion mobility Electrolyte Li-ion mobility, Larch-Cahn-Theory Kinetic model for one particle (5) (6) (7) S.N. Polyakov, J. Kortus, H.J. Seifert Bauman MHTU, January 26-28, 2011, Moscow

  9. DiffusionSpherical particle (8) (9) The Butler-Volmer equation (10) - exchange flux density S.N. Polyakov, J. Kortus, H.J. Seifert Bauman MHTU, January 26-28, 2011, Moscow

  10. Open-circuit potential Experiment [*] Calphad-Method [**] (11) [**] J. Electrochem. Soc., 143, 1890 (1996) [*] Solid State Ionics, 69 (1994) 59. S.N. Polyakov, J. Kortus, H.J. Seifert Bauman MHTU, January 26-28, 2011, Moscow

  11. Intercalation/De-Intercalation stressin a spherical particle Charge (contraction/expansion) (12) (13) Discharge (expansion/contraction) (14) E - elastic modulus - Poisson’s ratio S.N. Polyakov, J. Kortus, H.J. Seifert Bauman MHTU, January 26-28, 2011, Moscow

  12. Analysis of the diffusion by stresses in a spherical particle (18) (15) (16) (17) (5) S.N. Polyakov, J. Kortus, H.J. Seifert Bauman MHTU, January 26-28, 2011, Moscow

  13. Numerical procedure (19) (20) S.N. Polyakov, J. Kortus, H.J. Seifert Bauman MHTU, January 26-28, 2011, Moscow

  14. Material properties of LiMn2O4 and parameters for the lithium intercalation reaction OCP Deintercalation Intercalation S.N. Polyakov, J. Kortus, H.J. Seifert Bauman MHTU, January 26-28, 2011, Moscow

  15. Stress and Li-concentration Intercalation Deintercalation S.N. Polyakov, J. Kortus, H.J. Seifert Bauman MHTU, January 26-28, 2011, Moscow

  16. Hydrostatic stress (deintercalation/intercalation) S.N. Polyakov, J. Kortus, H.J. Seifert Bauman MHTU, January 26-28, 2011, Moscow

  17. Hydrostatic stress (deintercalation/intercalation) S.N. Polyakov, J. Kortus, H.J. Seifert Bauman MHTU, January 26-28, 2011, Moscow

  18. Stress in a submicron particle (21) (22) (23) S.N. Polyakov, J. Kortus, H.J. Seifert Bauman MHTU, January 26-28, 2011, Moscow

  19. Stress in a 10μm particle S.N. Polyakov, J. Kortus, H.J. Seifert Bauman MHTU, January 26-28, 2011, Moscow

  20. Hydrostatic stress in a particle r = 10μm (deintercalation, v = 1 μV/s) Dangerous zone Deintercalation Intercalation S.N. Polyakov, J. Kortus, H.J. Seifert Bauman MHTU, January 26-28, 2011, Moscow

  21. Extreme values of hydrostatic stresses on the particle surface[*] Hydrostatic stress for various scan ratesin a particle of 2 μm radius Deintercalation Intercalation [* ]С. Н. Поляков, ПЖТФ, 2010, Vol. 36, No. 24, pp. 25–32. S.N. Polyakov, J. Kortus, H.J. Seifert Bauman MHTU, January 26-28, 2011, Moscow

  22. Numerical simulation (diffusion) Deintercalation Intercalation S.N. Polyakov, J. Kortus, H.J. Seifert Bauman MHTU, January 26-28, 2011, Moscow

  23. Numerical simulation (current density) Deintercalation Intercalation S.N. Polyakov, J. Kortus, H.J. Seifert Bauman MHTU, January 26-28, 2011, Moscow

  24. Analysis of the current density in submicron particles (24) S.N. Polyakov, J. Kortus, H.J. Seifert Bauman MHTU, January 26-28, 2011, Moscow

  25. Current density in submicron particles (25) S.N. Polyakov, J. Kortus, H.J. Seifert Bauman MHTU, January 26-28, 2011, Moscow

  26. Current density in submicron particles S.N. Polyakov, J. Kortus, H.J. Seifert Bauman MHTU, January 26-28, 2011, Moscow

  27. Conclusions • Equations for calculating kinetics of mechanical stresses in submicron particles were derived. • The Li-ion current density dependence of the particle size and of the ID rate was obtained for a cathode material. • A kinetic equation for the current density in the absence of diffusion polarization was derived; it was shown that diffusion polarization decreased for submicron particles. • The influence of a particle size on the maximum Li-ion current density was evaluated. S.N. Polyakov, J. Kortus, H.J. Seifert Bauman MHTU, January 26-28, 2011, Moscow The effect of stresses and deformations in a cathode material (LiMn2O4) is taken into account using the Larche–Cahn thermo-chemical theory.

  28. I thank you for your attention Большое спасибо за внимание! S.N. Polyakov, J. Kortus, H.J. Seifert Bauman MHTU, January 26-28, 2011, Moscow

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