Determination of Lithium Diffusion Coefficients in Single Battery Active Material Particles by Using an AFM-Based Steady-State Diffusion Depolarization Technique

2021 ◽  
Vol 125 (4) ◽  
pp. 2230-2239
Author(s):  
Diemo Renz ◽  
Marvin Cronau ◽  
Bernhard Roling
Keyword(s):  
Steady State ◽  
Diffusion Coefficients ◽  
Active Material ◽  
State Diffusion ◽  
Lithium Diffusion ◽  
Steady State Diffusion

Flow of adsorbable gases and vapours in a microporous medium, I. Single sorbates

1963 ◽  
Vol 271 (1344) ◽  
pp. 1-18 ◽  
Keyword(s):  
Steady State ◽  
Diffusion Coefficients ◽  
Heterogeneous Media ◽  
Specific Area ◽  
Liquid Oxygen ◽  
Characteristic Functions ◽  
Time Lags ◽  
Flow Measurements ◽  
State Diffusion ◽  
Steady State Diffusion

Adsorption and flow measurements have been made in a microporous membrane of a consolidated, high specific area, gas-sorbing carbon. The gases and vapours studied were SO 2 , CO 2 , N 2 , A, and He, over a range of temperatures and pressures. Steady-state permeation rates have shown that in the membrane used, for the vapours SO 2 and CO 2 , and for N 2 and A at liquid oxygen and nitrogen temperatures, flow is dominated by the flux of the adsorbed film. Even for nitrogen at 190 °K adsorbed flow is considerably larger than gas-phase flow. From the results surface diffusion coefficients have been evaluated which are characteristic functions of the amount adsorbed. The properties of these diffusion coefficients have been considered in relation to the pore structure and the coverage of the surface by adsorbate. Attention has been given to the transient state time-lags. Using the method of Frisch (1957), it has not proved possible to represent these time lags in terms of the steady-state diffusion coefficients, thus emphasizing the distinction between transient and steady -state diffusion in heterogeneous media.

scholarly journals Bioelectrocatalytic endpoint assays based on steady-state diffusion current at microelectrode array

2010 ◽  
Vol 12 (6) ◽  
pp. 839-842 ◽  
Author(s):  
Tatsuo Noda ◽  
Katsumi Hamamoto ◽  
Maiko Tsutsumi ◽  
Seiya Tsujimura ◽  
Osamu Shirai ◽  
...  
Keyword(s):  
Steady State ◽  
Microelectrode Array ◽  
Diffusion Current ◽  
State Diffusion ◽  
Steady State Diffusion

scholarly journals Numerical Solution of Continuation Problem for 3D Steady-State Diffusion in Cylindrically Layered Medium

2015 ◽  
Vol 2015 ◽  
pp. 1-13
Author(s):  
Magira Kulbay ◽  
Saule Maussumbekova ◽  
Balgaisha Mukanova
Keyword(s):  
Steady State ◽  
Layered Medium ◽  
Outer Boundary ◽  
Cauchy Data ◽  
Piecewise Constant Function ◽  
Piecewise Constant ◽  
State Diffusion ◽  
Solution Methods ◽  
Continuation Problem ◽  
Steady State Diffusion

This work is based on the application of Fourier and quasi-solution methods for solving the continuation inverse problem for 3D steady-state diffusion model inside a cylindrical layered medium. The diffusion coefficient is supposed to be a piecewise constant function, Cauchy data are given on the outer boundary of the cylinder, and we seek to recover the temperature at the inner boundary of the cylinder. Numerical experiments are investigated and show the capacity of proposed method only for smooth boundary condition. Under the suitable choice of regularization parameters we recover the distribution of temperature on the inner boundary with satisfactory quality for noisy data.

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