DIFFUSION IN AND THROUGH SOLIDS
CONTENTS 1 FORMATION OF A CHEMICAL COMPOUND LAYER AT THE INTERFACE OF TWO ELEMENTARY SUBSTANCES 1 1 DESCRIPTION OF THE KINETICS OF SOLID-STATE HETEROGENEOUS REACTIONS 1 2 REACTION DIFFUSION 1 3 GROWTH OF THE APBQ LAYER AT THE EXPENSE OF DIFFUSION OF COMPONENT B 1 3 1 CRITICAL THICKNESS OF THE APBQ LAYER WITH REGARD TO COMPONENT B 1 3 2 GROWTH REGIME OF THE APBQ LAYER WITH REGARD TO COMPONENT B: THEORETICAL DEFINITION 1 3 3 STATIONARY POINT 1 4 GROWTH OF THE APBQ LAYER AT THE EXPENSE OF DIFFUSION OF COMPONENTS A AND B 1 4 2 GENERAL KINETIC EQUATION: ONE COMPOUND LAYER 1 4 3 SEPARATE DETERMINATION OF REACTION-DIFFUSION CONSTANTS 1 5 LINEAR GROWTH OF THE CU6SN5 LAYER IN THE COPPER-TIN REACTION COUPLE 1 6 PARABOLIC GROWTH OF THE ALSB LAYER IN THE ALUMINIUM-ANTIMONY DIFFUSION COUPLE 1 7 LINEAR-PARABOLIC GROWTH OF THE SIO2 LAYER BETWEEN SILICON AND OXYGEN 1 8 GROWTH KINETICS OF THE NIBI3 LAYER AT THE NICKEL-BISMUTH INTERFACE 1 8 1 EXPERIMENTAL DETAILS 1 8 2 INTERMETALLIC LAYER COMPOSITION 1 8 3 THE MAIN DIFFUSING COMPONENT DURING THE NIBI3 LAYER GROWTH 1 8 4 NIBI3 LAYER GROWTH KINETICS 1 9 INTERCONNECTION BETWEEN THE REACTION- AND SELF-DIFFUSION COEFFICIENT OF THE COMPONENTS OF A CHEMICAL COMPOUND 1 10 SINGLE COMPOUND LAYER: SHORT CONCLUSIONS 2 GROWTH KINETICS OF TWO COMPOUND LAYERS BETWEEN ELEMENTARY SUBSTANCES 2 1 PARTIAL CHEMICAL REACTIONS AT PHASE INTERFACES 2 2 A SYSTEM OF DIFFERENTIAL EQUATIONS DESCRIBING THE RATES OF FORMATION OF TWO CHEMICAL COMPOUND LAYERS 2 3 INITIAL LINEAR GROWTH OF THE APBQ AND ARBS LAYERS 2 4 MINIMAL THICKNESS OF THE ARBS LAYER NECESSARY FOR THE APBQ LAYER TO OCCUR 2 5 NON-LINEAR GROWTH OF THE APBQ LAYER 2 6 EFFECT OF THE CRITICAL THICKNESS OF THE APBQ LAYER WITH REGARD TO COMPONENT A ON THE PROCESS OF GROWTH OF THE ARBS LAYER 2 7 PARALINEAR GROWTH KINETICS OF TWO COMPOUND LAYERS 2 8 DIFFUSION CONTROLLED GROWTH OF THE APBQ AND ARBS LAYERS 2 8 1 LATE DIFFUSIONAL STAGE OF LAYER FORMATION: SYSTEM OF DIFFERENTIAL EQUATIONS 2 8 2 LATE DIFFUSIONAL STAGE OF FORMATION OF TWO COMPOUND LAYERS: RATIO OF THEIR THICKNESSES 2 8 3 SIMULTANEOUS DIFFUSIONAL GROWTH OF THE AL3MG2 AND AL12MG17 INTERMETALLIC LAYERS BETWEEN ALUMINIUM AND MAGNESIUM 2 9 NIBI LAYER: MISSING OR TOO THIN? 2 10 TWO COMPOUND LAYERS: SHORT CONCLUSIONS 3 OCCURRENCE OF MULTIPLE COMPOUND LAYERS AT THE A–B INTERFACE 3 1 CHEMICAL REACTIONS AT PHASE INTERFACES IN A MULTIPHASE BINARY SYSTEM 3 2 A SYSTEM OF DIFFERENTIAL EQUATIONS DESCRIBING THE GROWTH PROCESS OF THREE CHEMICAL COMPOUND LAYERS BETWEEN ELEMENTARY SUBSTANCES A AND B 3 3 INITIAL LINEAR GROWTH OF THREE COMPOUND LAYERS 3 4 TRANSITION FROM LINEAR TO NON-LINEAR LAYER-GROWTH KINETICS 3 5 CRITICAL VALUES OF COMPOUND-LAYER THICKNESSES AND THEIR INFLUENCE ON LAYER- GROWTH KINETICS 3 6 DIFFUSIONAL STAGE OF FORMATION OF COMPOUND LAYERS 3 7 SEQUENCE OF COMPOUND-LAYER FORMATION AT THE A–B INTERFACE 3 7 1 PHASE-DIAGRAM PREDICTIONS 3 7 2 THERMODYNAMIC PREDICTIONS 3 7 3 REASONS FOR THE FORMATION OF MULTIPLE COMPOUND LAYERS AT THE A–B INTERFACE 3 8 FORMATION OF INTERMETALLIC LAYERS IN NI–ZN AND CO–ZN DIFFUSION COUPLES 3 8 1 NI–ZN AND CO–ZN PHASE DIAGRAMS 3 8 2 MATERIALS, SPECIMEN PREPARATION AND EXPERIMENTAL METHODS 3 8 3 LAYER IDENTIFICATION 3 8 4 CHEMICAL COMPOSITION OF INTERMETALLIC LAYERS 3 8 5 LAYER GROWTH KINETICS 3 9 MULTIPLE COMPOUND LAYERS: SHORT CONCLUSIONS 4 GROWTH KINETICS OF THE SAME CHEMICAL COMPOUND LAYER IN VARIOUS REACTION COUPLES OF A MULTIPHASE BINARY SYSTEM 4 1 GROWTH OF THE ARBS LAYER IN THE A–B REACTION COUPLE 4 2 GROWTH OF THE ARBS LAYER IN THE APBQ–B REACTION COUPLE 4 2 1 GROWTH OF THE ARBS LAYER BETWEEN APBQ AND B AT THE EXPENSE OF DIFFUSION OF ONLY COMPONENT A 4 2 2 GROWTH OF THE ARBS LAYER BETWEEN APBQ AND B AT THE EXPENSE OF DIFFUSION OF BOTH COMPONENTS 4 3 GROWTH OF THE ARBS LAYER IN THE APBQ–ALBN REACTION COUPLE 4 4 COMPARISON OF THE GROWTH RATES OF THE ARBS LAYER IN VARIOUS REACTION COUPLES OF THE A–B MULTIPHASE BINARY SYSTEM 4 5 DUPLEX STRUCTURE OF THE ARBS LAYER 4 6 GROWTH OF THE COMPOUND LAYER IN VARIOUS REACTION COUPLES: SHORT CONCLUSIONS 5 REACTION-DIFFUSION KINETICS IN SOLID-LIQUID AND SOLID-GAS SYSTEMS 5 1 MAIN RELATIONSHIPS GOVERNING DISSOLUTION OF SOLIDS IN LIQUIDS 5 2 EXPERIMENTAL INVESTIGATION OF THE DISSOLUTION PROCESS OF A SOLID IN A LIQUID 5 2 1 DETERMINATION OF THE SATURATION CONCENTRATION 5 2 2 EVALUATION OF THE DISSOLUTION-RATE CONSTANT 5 2 3 ESTIMATION OF THE DIFFUSION COEFFICIENT 5 3 GROWTH KINETICS OF THE CHEMICAL COMPOUND LAYER UNDER CONDITIONS OF ITS SIMULTANEOUS DISSOLUTION IN THE LIQUID PHASE 5 4 GROWTH KINETICS OF INTERMETALLIC LAYERS AT THE TRANSITION METAL–LIQUID ALUMINIUM INTERFACE 5 4 1 FORMATION OF THE FE2AL5 LAYER BETWEEN FE AND AL 5 4 2 OCCURRENCE OF THE MOAL4 LAYER BETWEEN MO AND AL 5 4 3 FORMATION OF INTERMETALLICS BETWEEN FE–NI (OR CR) ALLOYS AND LIQUID ALUMINIUM 5 5 PECULIARITIES OF KINETIC DEPENDENCES IN SOLID-GAS SYSTEMS 5 5 1 LAYER THICKNESS-TIME RELATIONSHIPS 5 5 2 INFLUENCE OF EVAPORATION ON THE GROWTH RATE OF A CHEMICAL COMPOUND LAYER 5 5 3 PARTIAL OXIDATION OF CHEMICAL COMPOUNDS 5 6 REACTION-DIFFUSION KINETICS IN SOLID-LIQUID AND SOLID-GAS SYSTEMS: SHORT CONCLUSIONS CONCLUDING REMARKS REFERENCES