Semianalytical method of solution for solid phase diffusion in lithium ion battery electrodes: Variable diffusion coefficient

Renganathan, Sindhuja; White, Ralph E.

doi:10.1016/j.jpowsour.2010.06.081

Cited by 25 publications

(14 citation statements)

References 19 publications

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“…The diffusion coefficients of Na + in PBM ( D 1) and HCS‐PBMN ( D 2) electrodes are calculated from the inclined line in the low‐frequency region (Figure b), which also determines the reaction kinetics of electrodes to a certain extent. The apparent diffusion coefficient D of Na + in bulk is concretely calculated according to the following equations

Z_{re} = R_{normals} + R_{ct} + σ_{ω} ω^{- 1 / 2}

D = 0.5 {(\frac{R T}{n^{2} A F^{2} σ_{ω} C})}^{2}

…”

Section: Resultsmentioning

confidence: 99%

A Chemical Precipitation Method Preparing Hollow–Core–Shell Heterostructures Based on the Prussian Blue Analogs as Cathode for Sodium‐Ion Batteries

Huang

Xie

Wang

et al. 2018

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128

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Prussian blue and its analogs are regarded as the promising cathodes for sodium-ion batteries (SIBs). Recently, various special structures are constructed to improve the electrochemical properties of these materials. In this study, a novel architecture of Prussian blue analogs with large cavity and multilayer shells is investigated as cathode material for SIBs. Because the hollow structure can relieve volume expansion and core-shell heterostructure can optimize interfacial properties, the complex structure materials exhibited a highly initial capacity of 123 mA h g and a long cycle life. After 600 cycles, the reversible capacity of the electrode still maintains at 102 mA h g without significant voltage decay, indicating a superior structure stability and sodium storage kinetics. Even at high current density of 3200 mA g , the electrode still delivers a considerable capacity above 52 mA h g . According to the electrochemical analysis and ex-situ measurements, it can be inferred that the enhanced apparent diffusion coefficient and improved insertion/extraction performance of electrode have been obtained by building this new morphology.

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Z_{re} = R_{normals} + R_{ct} + σ_{ω} ω^{- 1 / 2}

D = 0.5 {(\frac{R T}{n^{2} A F^{2} σ_{ω} C})}^{2}

…”

Section: Resultsmentioning

confidence: 99%

A Chemical Precipitation Method Preparing Hollow–Core–Shell Heterostructures Based on the Prussian Blue Analogs as Cathode for Sodium‐Ion Batteries

Huang

Xie

Wang

et al. 2018

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128

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“…Capacity fade is one of the most significant problems in lithium-ion batteries and can be associated with diffusion-induced stresses, [7][8][9][10][11][12][13][14][15] which have been studied in many electrode materials such as LiCoO 2 , LiMn 2 O 4 , LiFePO 4 , graphite, [16][17][18][19][20][21][22][23] etc. Specifically, these studies have focused on the effect of mechanical stress in lithium-ion batteries, [10][11][12][13][14][15][16][17][18][19][20][22][23][24][25][26] material structural characterization, and synthesis. [27][28][29][30] However, these studies generally emphasize only one component of the battery cells (i.e., either the cathode, anode or electrolyte).…”

Section: Introductionmentioning

confidence: 99%

Mechanical stresses at the cathode–electrolyte interface in lithium-ion batteries

Kim

Huang

2016

J. Mater. Res.

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“…A few authors have investigated the contribution of concentrationdependent elastic constants [4][5][6][7][8][9][10] and concentration-dependent effective diffusivity [7,8,11,12] in the Li flux and resulting LIB electrode stress-state. Regarding the former, Yang et al [8] and He et al [10] used a linear Li-content-dependent Young's modulus in Si and Si-graphite, respectively.…”

Section: Introductionmentioning

confidence: 99%

Concentration-Dependent Chemical Expansion in Lithium-Ion Battery Cathode Particles

Malavé

Berger

Martín

2014

Journal of Applied Mechanics

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In this work, the effect of the concentration-dependent chemical-expansion coefficient, /?, on the chemo-elastic field in lithium-ion cathode particles is examined. To accomplish this, an isotropic linear-elastic model is developed for a single idealistic particle sub jected to potentiostatic-discharge and charge conditions. It is shown that p can be a key parameter in demarcating the chemo-stress-strain state of the cathode material under going nonlinear volumetric strains. As an example, such strains develop in the hexagonal-to-monoclinic-phase region of LixCoO 2 (0.37 < x< 0.55) and, subsequently, the corresponding p is a linear function of concentration. Previous studies have assumed a constant value for p. Findings suggest that the composition-generated chemo-elastic field that is based on a linear-p dramatically affects both the interdiffusion and the me chanical behavior of the LixCo02 cathode particle. Because the chemo-elastic phenom ena emanate in a reciprocal fashion, the resulting linear P-based hydrostatic-stress gradients significantly aid the diffusion of lithium. Thus, diffusion is accelerated in either electrochemical process that the cathode material undergoes.

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Semianalytical method of solution for solid phase diffusion in lithium ion battery electrodes: Variable diffusion coefficient

Cited by 25 publications

References 19 publications

A Chemical Precipitation Method Preparing Hollow–Core–Shell Heterostructures Based on the Prussian Blue Analogs as Cathode for Sodium‐Ion Batteries

A Chemical Precipitation Method Preparing Hollow–Core–Shell Heterostructures Based on the Prussian Blue Analogs as Cathode for Sodium‐Ion Batteries

Mechanical stresses at the cathode–electrolyte interface in lithium-ion batteries

Concentration-Dependent Chemical Expansion in Lithium-Ion Battery Cathode Particles

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