# 고체반응속도론

과목번호 SE399 3/3/0 교선필수 이-공 기초공학 화학공학, 재료공학 류한일 4 2 Lectures on Kinetic Processes in Material, 2020 by Han-Ill Yoo [[file:|100px]]

### 개요

This course is to provide beginning graduate or senior undergraduate students with the very basic, quantitative ideas on kinetic processes in materials in general. The overall reaction taking place in materials is usually a consecutive process of surface reaction and diffusion in the bulk. Mathematics of diffusion in continuum is first dealt with in some depth, followed by the atomic theory of diffusion and a brief review of chemical reaction kinetics. As applications are treated diffusion in concentration gradients or inter-diffusion in metals and chemical diffusion in ionic solids, diffusion-controlled phase-transformations, gas/solid reactions, solid/solid reactions, etc.

### 주차별계획

I. Diffusion in Continuum

```  1. Fick's laws
2. Mathematics of diffusion
2.1 Characteristics of solution
2.2.1 Short-time solution
2.2.2 Long-time solution
2.2 Method of Laplace transform
2.3 Boltzmann-Matano analysis-graphical solution
2.4 Diffusion in 2 or 3 dimensions
2.5 Moving boundary problems
```

II. Atomic Theory of Diffusion

```  1. Microscopic description of diffusion
1.1 Naive look at diffusion
2.2 Random walk theory
2.3 Diffusion mechanisms and defect diffusion
2.4 Derivation of diffusion coefficients
2. Correlation effect
2.1 Origin of correlation effect and calculation
2.2 Correlation effect of solute diffusion
```

III. Chemical Reaction Kinetics

```  1. Elementary reactions
1.1 Reaction rate laws and reaction order
1.2 Determination of reaction order
2. Complex reactions
3. Absolute reaction rate theory
4.2 Adsorption with dissociation of gas
4.4 Langmuer evaporation
4.5 Gibbs-Langmuer isotherm
```

```  1. Kirkendall effect
2. Darken's analysis
3. Phenomenological understanding of Kirkendall effect
3.1 Interpretation of the Kirkendall effect in terms of defect motion
3.2 Irreversible thermodynamic treatment of diffusion and Kirkendall effect
```

V. Kinetics of Phase Transformation (-Diffusion controlled)

```  1. Nucleation
1.1 Homogeneous nucleation
1.2 Heterogeneous nucleation
2. Spinodal decomposition
2.1 Thermodynamic background
2.2 Cahn's treatment
3. Growth
3.1 Growth with neither composition nor phase change (grain growth)
3.2 Growth with no composition but with phase change
3.3 Growth with both composition and phase change
3.3.1 Solidification
3.3.2 2nd phase precipitation
4. Overall rate of transformation
5. Coarsening--Ostwald ripening
```

VI. Diffusion in Ionic Solids

```  1. Diffusion and conduction
2. Mass and charge transport in ionic solids
2.1 Thermodynamic equations of motion
2.2 Nonstoichiometry re-equilibration and chemical diffusion
2.3 Gas permeation
3. Experimental techniques to determine chemical diffusivity
3.1 Conductivity relaxation
3.2 Mass relaxation
```

VII. Kinetics of Gas-Solid Reaction

```   1. Oxidation of metals
2. Internal oxidation of alloys
```

VIII. Kinetics of Solid-Solid Reaction (if time allows)

```   1. Spinel (or perovskite) formation
```

### 평가방법

Homeworks 20%; Midterm exam 30%; Final exam 40%; Others 10%