SEARCH Articles Figures Tables A Multicomponent Diffusion in the Presence of Reaction A comparison of the phenomenological diffusion coefficients A critique of the diffusion equation and molecular pair treatments An Expression for the Diffusion Potential An Often-Used Device for Solving Electrochemical Diffusion Problems The Laplace Transformation An example of a convective-diffusion system the rotating disc electrode Analysis of Diffusion Reactions in the Solid State Analysis of Diffusion in the A, B, and C Regimes Analytical Solutions of the diffusion equation Analytical solution of the grain boundary diffusion problem Application to the diffusion of salts in solution Approximate neglect of pressure variations in the intermediate diffusion range Approximate value of the diffusivity Approximation of the Diffusive Transport Terms Arrhenius plots of the diffusion coefficients Atomic migration and the diffusion coefficient B Diffusion of Gas Through the Lamellae Bounds for the diffusion constant Brownian Motion, Levy Flight, and the Diffusion Equations C Quantitation of the Transferred Product and Diffusion Calculation of the Diffusion Potential Capacity of the diffuse electric double layer Change of Entropy and the Diffusion Process Characteristic time of the diffusion Choice of the Diffusion Interaction Mode Concentration dependence of the diffusion coefficient Conclusions on the Diffusion Process Conductivity, Transference Numbers, and the Diffusion Potential Control Volume Alternative to the Theory of Diffusive Burning Controlling Molecular Diffusion in the Fluidic Lipid Bilayer Cumulative Uptake by Diffusion for the Semi-Infinite Domain Current, Poor Oxygen Diffusivity in the CCL Determination of the diffusion coefficient Different Forms of the Diffusion Equation Diffuse Part of the Double Layer Diffuse Reflectance Spectroscopy (DRS) in the Visible UV Region Diffuse layer at the interface Diffuse part of the edl Diffusion Boundary Layer Near the Surface of a Drop (Bubble) Diffusion Boundary Layer Near the Surface of a Particle Diffusion Coefficients of Both Oxygen and Any Ions in the Sensing Material Should Be Minimized Diffusion Fluxes and the Sherwood Number Diffusion Motion of the Rouse Chain Diffusion Obstacles Inside the ZSM-5 Framework by Pulsed-Field Gradient NMR Diffusion Parameters of the System Diffusion Path Stochastization in the Two-Phase Region Diffusion The movement of a substance Diffusion and Reaction in a Single Cylindrical Pore within the Catalyst Pellet Diffusion and Reaction of the Products Diffusion and Reactions in the Liquid Phase Diffusion coefficient in the Diffusion coefficient of the cation Diffusion coefficient of the charge carriers Diffusion constant, dependence on the Diffusion in polymers - The classical approach Diffusion in polymers - The computational approach Diffusion in the High-Field Regime Diffusion in the Region of a Critical Point Diffusion in the Stationary Phase Diffusion in the extracellular space Diffusion in the matrix Diffusion on the Surface of a Micelle Diffusion processes in the photo-oxidation of polymers Diffusion through the membrane Diffusion through the product Diffusion through the product layer Diffusion within the catalyst pellet Diffusivities from the Diffusivity of the Oxide Ion in Perovskite Oxides Diffusivity of the reactant molecule Diffusivity, Mobility and Conductivity The Nernst-Einstein Relation Dimensionless Form of the Generalized Mass Transfer Equation with Unsteady-State Convection, Diffusion, and Chemical Reaction Does Helium Diffuse Through the Upper Crust Effect of sucrose on the bimolecular diffusion constant Effects of Rotational Diffusion on Fluorescence Anisotropies The Perrin Equation Effects of intraparticle diffusion on the experimental parameters Elimination of diffusion contribution to the overpotential in chronoamperometry and chronopotentiometry Elimination of diffusion contributions to the overpotential by impedance spectroscopy Equations for the diffusive flux (Ficks law) Equimolar Counterdiffusion and Diffusion through a Stagnant Film The Log-Mean Concentration Difference Estimate the Diffusivity of Hydrogen Estimating the Diffusion Depth and Time to Approach Steady State Estimation of the diffusion coefficient Exchange is controlled by bulk diffusion into the support Experimental study of the rotational diffusion constant Experiments for the Direct Observation of Proton Spin-Diffusion Factors Affecting the Diffusion of Proteins Fick Diffusion Coefficients for the System Acetone-Benzene-Methanol Ficks Laws and the Diffusion Equations Flow and Diffusion in the Mobile Phase Flow and diffusion in the reactor From the diffusion equation to escape and survival probabilities General Reaction Kinetics Diffusion Resistance as the Rate-Determining Step Generalization of the Nonlinear Phase Diffusion Equation Gouy-Chapman theory of the diffuse electrical double-layer How Can the Diffusion Coefficient Be Related to Molecular Quantities How does one obtain a quick estimate of the distance moved by diffusing atoms Hydrodynamic repulsion and the diffusion equation Intrinsic Diffusion Coefficient The Kirkendall Effect Laminar Flow and Diffusion in a Pipe The Graetz Problem for Mass Transfer Lead users in the diffusion process Limiting Diffusion Resistance of the Disperse Phase Long-range transfer and the diffusion equation Luminosity evolution and the diffuse background Mass Transport in Binary Mixtures and the Diffusion Equation Metals in the Universe and diffuse background radiation Modelling the diffusion coefficient D for all solvents simultaneously Modelling the diffusion coefficient D for solvents other than water Modelling the diffusion coefficient D for water as solvent Molecular weight of the diffusant No Peaks The Interpretation of Diffuse Scattering Non-equilibrium distribution of adsorbing ions along the diffuse layer Nucleation in the Diffusion Zone of a Ternary System Numerical Solution of the Lumped Pore Diffusion Model Numerical Solution of the diffusion equation On the Diffusivity of Vitamin E in UHMWPE On the Dispersion of a Solute by Diffusion, Convection, and Exchange between Phases Origin of the diffusion in a solid Oxygen Transport Loss in the Gas Diffusion Layer Parameters in the Atmospheric Diffusion Equation Passive diffusion through the membrane Perfectly mobile equilibria the mean diffusion coefficient Phenomenological Derivation of the Reaction-Diffusion Equation Physical derivation of the multicomponent diffusion equation Plasticizer diffusion rate and the methods of study Poisson-Boltzmann theory of the diffuse double layer Polymer Blend and Diffusion of the Synthetic Macromolecules Potential in the diffuse layer RET in the Rapid-Diffusion Limit Radial diffusion in the sphere Reaction and diffusion in the catalytic washcoat Reaction fast relative to the film diffusion time Reaction too slow to occur within the diffusion film Reconciliation of Apparent Contradictions in the Diffusion Model for Water Radiolysis According to Schwarz Reducing the Eddy Diffusion Term Reducing the Effect of Longitudinal Diffusion Rotational Diffusion of Liquid Crystals in the Nematic Phase Scaling and Convergence to the Diffusion Process Scaling of the Diffusion Equation Solution of the Atmospheric Diffusion Equation for an Instantaneous Source Solution of the Multicomponent Diffusion Equations Solution of the Transient Gas-Phase Diffusion Problem Equations Solution of the Transient Gas-Phase Diffusion Problem Equations (11.4) to Solution of the diffusion equation when Le Solution of the reaction-diffusion equations Solution to the Diffusion Equation with a Step in Concentration Solution-Diffusion Model for the Transport of Binary Gas Mixtures Solutions of the Radial Diffusion Equation Solutions of the Steady-State Atmospheric Diffusion Equation Solutions of the diffusion equation Solutions of the diffusion equation parallel flux Solutions to the Diffusion Equation Solutions to the diffusion equation with no solute elimination or generation Solutions to the diffusion equation with solute binding and elimination Solving the Diffusion Equations Some Cases for which there is no Solution of the Diffusion Equation Some Properties of the Nonlinear Phase Diffusion Equation Some simple solutions to the diffusion equation at steady state Techniques for Measurement of the Diffusion Coefficient Temperature Variation of the Diffusion Coefficient Temperature dependence of the diffusion constant The Arnold diffusion cell The Binary Diffusion Equations The Brusselator with diffusion The Combined Slowing-down and Diffusion Equation The Concentration of Reactants in Each Phase is Affected by Diffusion The Concept of Augmented Diffusivity by Convection The Convective Diffusion Equation The Diffuse Double Layer The Diffusion Categories The Diffusion Domain Approach The Diffusion Layer The Diffusion Layer Model The Diffusion Model and Dispersion in a Straight Tube The Diffusion Process The Diffusion Quantum Monte Carlo Method The Diffusion Spectrum The Diffusion Theory of Adhesion The Diffusive Flux Vectors for a Mixture of Chemical Species The Diffusivity Tensor for Steady-State Shear and Elongational Flows The Discretized Diffusion Equation The Effect of B-Site Cation on Oxygen Diffusivity The Effect of Diffusion Limitation The Effective Diffusion Coefficient The Effective Diffusivity—Closing Remarks The Fisher-Kolmogorov model of reactions with diffusion The Free Energy of a Diffuse Double Layer The Gas-Diffusion Layer The General Equations of Diffusion and Flow in a Straight Tube The Gross View of Nonsteady-State Diffusion The Implications of Using Diffusive or Convective Control The Influence of Impurity upon Diffusion Constants The Lagrangian density for diffusion The Longitudinal Diffusion, or (B), Term The Maxwell-Stefan theory for zeolite diffusion The Measurement of Solute Diffusivity and Molecular Weight The Multicomponent Diffusion Equations The Nemst diffusion layer The Nernst diffusion layer and dimensionless variables The Oregonator with diffusion The Oxygen Tracer Diffusion Coefficient The Phenomena of Diffusion The Phenomenon of Hydrodynamic Diffusion The Problem of Diffusion The Rate Equation for Film Diffusion The Relation to Diffusion and Brownian Motion The Role of Molecular Diffusivity The Rotational Diffusion Model The Self-diffusion Coefficient of Xe in Elastomers The Simplest Classical Solution for Diffusion in a Plate The Solution and Diffusion of Gases in Elastic Polymers The Solution-Diffusion Model The Time-Dependent Diffusion Equation The Translational Diffusion Coefficient The Transport Diffusivities The Two Bulb Diffusion Cell The action of diffusion The cellular origins of relaxation and diffusion contrast The chemical diffusion coefficient and its derivation for special cases The combination of external mass transfer and internal diffusion The differential equations of diffusion The diffuse field The diffusion and desorption processes The diffusion battery method for aerosol particle size determination The diffusion coefficient The diffusion coefficient varies with time The diffusion couple technique in phase diagram determination The diffusion equation The diffusion equation assumptions and applications The diffusion of an isolated pair The diffusion of oxygen in polymers The diffusion phenomenon The diffusion tensor The effective diffusivity The extended ZGB-model incorporating diffusion and desorption processes The inelastic diffusion length The international diffusion of innovation The measurement of diffusion coefficients in simple oxides The propagator for one-dimensional diffusion The relationship between D and diffusion distance The relationship between diffusion constant and specific surface The relative magnitude of chemical and diffusion reaction rates The role of vacancies in surface diffusion The significance of diffusion coefficients The spatial diffusion of innovations The theory of convective diffusion The time dependence of diffusion Thermal diffusivity in the gas phase Thermal diffusivity of the condensed Thermal diffusivity of the condensed phase Thickness of the Nernst diffusion layer Thickness of the diffusion boundary layer Thickness of the diffusion layer Timescale of the diffusion Towards the diffusion equation analysis Transition from the Diffusion to Inertial Ranges Transport Limitations and the Thiele Diffusion Modulus Turing Instability in the Standard Brusselator Reaction-Diffusion System Two Bulb Diffusion Cell A Test of the Effective Diffusivity Using the Diffusion Coefficient Variation of the sample profile along its travel convective and diffusive phenomena Variational Interpretation of the Diffusion Equation