Kinetics of chemical reactions decoding complexity

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Hauptverfasser: Marin, Guy B. (VerfasserIn), Yablonsky, Gregory S. (VerfasserIn)
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Sprache:English
Veröffentlicht: Weinheim Wiley-VCH 2011
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Datensatz im Suchindex

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adam_text IMAGE 1 CONTENTS PREFACE XV 1 INTRODUCTION 1 1.1 OVERVIEW I 1.2 DECODING COMPLEXITY IN CHEMICAL KINETICS 2 1.3 THREE TYPES OF CHEMICAL KINETICS 3 1.3.1 APPLIED KINETICS 3 1.3.2 DETAILED KINETICS 3 1.3.3 MATHEMATICAL KINETICS 4 1.4 CHALLENGES AND GOALS. HOW TO KILL CHEMICAL COMPLEXITY 4 1.4.1 GRAY-BOX APPROACH 4 1.4.2 ANALYSIS OF KINETIC FINGERPRINTS 5 1.4.3 NON-STEADY-STATE KINETIC SCREENING 6 1.5 WHAT OUR BOOK IS NOT ABOUT. OUR BOOK AMONG OTHER BOOKS ON CHEMICAL KINETICS 6 1.6 THE LOGIC IN THE REASONING OF THIS BOOK 7 1.7 HOW CHEMICAL KINETICS AND MATHEMATICS ARE INTERWOVEN IN THIS BOOK 7 1.8 HISTORY OF CHEMICAL KINETICS 8 2 CHEMICAL REACTIONS AND COMPLEXITY 17 2.1 INTRODUCTION 17 2.2 ELEMENTARY REACTIONS AND THE MASS-ACTION LAW 19 2.2.1 HOMOGENEOUS REACTIONS 19 2.2.2 HETEROGENEOUS REACTIONS 21 2.2.3 RATE EXPRESSIONS 22 2.3 THE REACTION RATE AND NET RATE OF PRODUCTION OF A COMPONENT - A BIG DIFFERENCE 23 2.4 DIMENSION OF THE KINETIC PARAMETERS AND THEIR ORDER OF MAGNITUDE 25 BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/1008658715 DIGITALISIERT DURCH IMAGE 2 VI I CONTENTS 2.5 CONCLUSIONS 26 NOTATION 27 3 KINETIC EXPERIMENTS: CONCEPTS AND REALIZATIONS 29 3.1 INTRODUCTION 29 3.2 EXPERIMENTAL REQUIREMENTS 29 3.3 MATERIAL BALANCES 30 3.4 CLASSIFICATION OF REACTORS FOR KINETIC EXPERIMENTS 31 3.4.1 STEADY-STATE AND NON-STEADY-STATE REACTORS 31 3.4.2 TRANSPORT IN REACTORS 32 3.4.3 IDEAL REACTORS 32 3.4.3.1 BATCH REACTOR 32 3.4.3.2 CONTINUOUS STIRRED-TANK REACTOR 33 3.4.3.3 PLUG-FLOW REACTOR 34 3.4.4 IDEAL REACTORS WITH SOLID CATALYST 35 3.4.4.1 BATCH REACTOR 35 3.4.4.2 CONTINUOUS STIRRED-TANK REACTOR 35 3.4.4.3 PLUG-FLOW REACTOR 36 3.4.4.4 PULSE REACTOR 37 3.4.5 DETERMINATION OF THE NET RATE OF PRODUCTION 37 3.5 FORMAL ANALYSIS OF TYPICAL IDEAL REACTORS 38 3.5.1 BATCH REACTOR 38 3.5.1.1 IRREVERSIBLE REACTION 38 3.5.1.2 REVERSIBLE REACTION 39 3.5.1.3 HOW TO DISTINGUISH PARALLEL REACTIONS FROM CONSECUTIVE REACTIONS 41 3.5.2 STEADY-STATE PLUG-FLOW REACTOR 46 3.5.3 NON-STEADY-STATE CONTINUOUS STIRRED-TANK REACTOR 46 3.5.3.1 IRREVERSIBLE REACTION 46 3.5.3.2 REVERSIBLE REACTION 47 3.5.4 THIN-ZONE TEMPORAL-ANALYSIS-OF-PRODUCTS REACTOR 48 3.6 KINETIC-MODEL-FREE ANALYSIS 49 3.6.1 STEADY STATE 49 3.6.2 NON-STEADY STATE 52 3.6.2.1 CONTINUOUS STIRRED-TANK REACTOR 51 3.6.2.2 PLUG-FLOW REACTOR 52 3.7 DIAGNOSTICS OF KINETIC EXPERIMENTS IN HETEROGENEOUS CATALYSIS 52 3.7.1 GRADIENTS AT REACTOR AND CATALYST-PELLET SCALE 52 3.7.2 EXPERIMENTAL DIAGNOSTICS AND GUIDELINES 53 3.7.2.1 TEST FOR EXTERNAL MASS TRANSFER EFFECT 54 3.7.2.2 TEST FOR INTERNAL MASS TRANSPORT EFFECT 55 3.7.2.3 GUIDELINES 56 IMAGE 3 CONTENTS VII 3.7.3 THEORETICAL DIAGNOSTICS 56 3.7.3.1 EXTERNAL MASS-TRANSFER 57 3.7.3.2 EXTERNAL HEAT-TRANSFER 59 3.7.3.3 INTERNAL MASS TRANSPORT 60 3.7.3.4 INTERNAL HEAT TRANSPORT 64 3.7.3.5 NON-STEADY-STATE OPERATION 64 NOTATION 65 4 CHEMICAL BOOK-KEEPING: LINEAR ALGEBRA IN CHEMICAL KINETICS 69 4.1 BASIC ELEMENTS OF LINEAR ALGEBRA 69 4.2 LINEAR ALGEBRA AND COMPLEXITY OF CHEMICAL REACTIONS 71 4.2.1 ATOMIC COMPOSITION OF COMPONENTS: MOLECULES CONSIST OF ATOMS 72 4.2.1.1 MOLECULAR MATRIX 72 4.2.1.2 LINEAR ALGEBRA AND LAWS OF MASS CONSERVATION 72 4.2.1.3 KEY COMPONENTS AND THEIR NUMBER 74 4.2.2 STOICHIOMETRY OF CHEMICAL REACTIONS: REACTIONS CONSIST OF CHEMICAL COMPONENTS 76 4.2.2.1 STOICHIOMETRIC MATRIX 76 4.2.2.2 SIMILARITY AND DIFFERENCE BETWEEN THE CONSERVATION LAW FOR CHEMICAL ELEMENTS AND THE KINETIC MASS-CONSERVATION LAW 79 4.2.2.3 SIMILARITY AND DIFFERENCE BETWEEN THE NUMBER OF KEY COMPONENTS AND THE NUMBER OF KEY REACTIONS 79 4.2.3 DETAILED MECHANISM OF COMPLEX REACTIONS: COMPLEX REACTIONS CONSIST OF ELEMENTARY REACTIONS 79 4.2.3.1 MECHANISMS AND HORIUTI NUMBERS 79 4.2.3.2 MATRICES AND INDEPENDENT ROUTES OF COMPLEX REACTIONS 86 4.3 CONCLUSIONS 89 NOTATION 89 5 STEADY-STATE CHEMICAL KINETICS: A PRIMER 93 5.1 INTRODUCTION TO GRAPH THEORY 93 5.2 REPRESENTATION OF COMPLEX MECHANISMS AS GRAPHS 94 5.2.1 SINGLE-ROUTE MECHANISMS 95 5.2.2 SINGLE-ROUTE MECHANISM WITH A BUFFER STEP 97 5.2.3 TWO-ROUTE MECHANISMS 98 5.2.4 NUMBER OF INDEPENDENT CYCLES AND HORIUTI S RULE 100 5.3 HOW TO DERIVE THE REACTION RATE FOR A COMPLEX REACTION 104 5.3.1 INTRODUCTION 104 5.3.2 KINETIC CRAMER S RULE AND TREES OF THE CHEMICAL GRAPH 104 IMAGE 4 VIII CONTENTS 5.3.3 FORWARD AND REVERSE REACTION RATES 111 5.3.4 SINGLE-ROUTE LINEAR MECHANISM - GENERAL CASE 113 5.3.5 HOW TO FIND THE KINETIC EQUATION FOR THE REVERSE REACTION: THE HORIUTI-BORESKOV PROBLEM 114 5.3.6 WHAT ABOUT THE OVERALL REACTION - A PROVOCATIVE OPINION 116 5.4 DERIVATION OF STEADY-STATE KINETIC EQUATIONS FOR A SINGLE- ROUTE MECHANISM - EXAMPLES 118 5.4.1 TWO-STEP MECHANISMS 119 5.4.1.1 MICHAELIS-MENTEN MECHANISM 119 5.4.1.2 WATER-GAS SHIFT REACTION 120 5.4.1.3 LIQUID-PHASE HYDROGENATION 121 5.4.2 THREE-STEP MECHANISMS 122 5.4.2.1 OXIDATION OF SO 2 122 5.4.2.2 COUPLING REACTION 123 5.4.3 FOUR-STEP MECHANISMS 124 5.4.4 FIVE-STEP MECHANISMS 126 5.4.5 SINGLE-ROUTE LINEAR MECHANISMS WITH A BUFFER STEP 127 5.5 DERIVATION OF STEADY-STATE KINETIC EQUATIONS FOR MULTI-ROUTE MECHANISMS: KINETIC COUPLING 129 5.5.1 CYCLES HAVING A COMMON INTERMEDIATE 131 5.5.2 CYCLES HAVING A COMMON STEP 132 5.5.3 CYCLES HAVING TWO COMMON STEPS 134 5.5.4 DIFFERENT TYPES OF COUPLING BETWEEN CYCLES 134 NOTATION 135 6 STEADY-STATE CHEMICAL KINETICS: MACHINERY 139 6.1 ANALYSIS OF RATE EQUATIONS 139 6.1.1 PARAMETERS: DEPENDENCE ON TEMPERATURE AND NUMBER OF IDENTIFIABLE PARAMETERS 139 6.1.2 SIMPLIFYING ASSUMPTIONS 142 6.1.2.1 FAST STEP 142 6.1.2.2 RATE-LIMITING STEP 143 6.1.2.3 QUASI-EQUILIBRATED STEPS 144 6.1.2.4 IRREVERSIBLE STEP(S) 145 6.1.2.5 DEPENDENCE OF THE REACTION RATE ON CONCENTRATIONS 146 6.2 APPARENT KINETIC PARAMETERS: REACTION ORDER AND ACTIVATION ENERGY 147 6.2.1 DEFINITIONS 147 6.2.2 TWO-STEP MECHANISM OF AN IRREVERSIBLE REACTION 148 6.2.2.1 APPARENT PARTIAL REACTION ORDER 148 6.2.2.2 APPARENT ACTIVATION ENERGY 150 6.2.3 MORE COMPLICATED CASES 150 6.2.3.1 APPARENT PARTIAL REACTION ORDER 151 IMAGE 5 CONTENTS IX 6.2.3.2 APPARENT ACTIVATION ENERGY 157 6.2.4 SOME FURTHER COMMENTS 158 6.3 HOW TO REVEAL MECHANISMS BASED ON STEADY-STATE KINETIC DATA 158 6.3.1 ASSUMPTIONS 158 6.3.2 DIRECT AND INVERSE PROBLEMS OF KINETIC MODELING 160 6.3.3 MINIMAL AND NON-MINIMAL MECHANISMS 160 6.3.3.1 TWO-STEP CATALYTIC MECHANISMS 161 6.3.3.2 THREE-STEP CATALYTIC MECHANISMS 161 6.3.3.3 FOUR-STEP CATALYTIC MECHANISMS 163 63.3A FIVE-STEP CATALYTIC MECHANISMS 163 6.3.3.5 SUMMARY 163 6.3.4 WHAT KIND OF KINETIC MODEL DO WE NEED TO DESCRIBE STEADY-STATE KINETIC DATA AND FOR DECODING MECHANISMS? 164 6.3.4.1 KINETIC RESISTANCE 164 6.3.4.2 ANALYSIS OF THE KINETIC RESISTANCE IN IDENTIFYING AND DECODING MECHANISMS AND MODELS 165 6.3.4.3 CONCENTRATION TERMS OF THE KINETIC RESISTANCE AND THE STRUCTURE OF THE DETAILED MECHANISM 166 6.3.4.4 PRINCIPLE OF COMPONENT SEGREGATION 270 6.4 CONCLUSIONS 172 NOTATION 172 7 LINEAR AND NONLINEAR RELAXATION. STABILITY 275 7.1 INTRODUCTION 275 7.1.1 LINEAR RELAXATION 177 7.1.2 RELAXATION TIMES AND STEADY-STATE REACTION RATE 179 7.1.2.1 RELAXATION TIMES AND KINETIC RESISTANCE 179 7.1.2.2 TEMKIN S RULE. IS IT VALID? 181 7.1.3 FURTHER COMMENTS 183 7.2 RELAXATION IN A CLOSED SYSTEM 283 7.2.1 PRINCIPLE OF DETAILED EQUILIBRIUM 183 73 STABILITY - GENERAL CONCEPT 187 7.3.1 ELEMENTS OF THE QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS 287 7.3.2 LOCAL STABILITY - RIGOROUS DEFINITION 290 7.3.3 LOCAL STABILITY - SYSTEM WITH TWO VARIABLES 291 7.3.3.1 REAL ROOTS 193 7.3.3.2 IMAGINARY ROOTS 194 7.3.4 ANALYSIS OF GLOBAL DYNAMICS 295 7.4 SIMPLIFICATIONS OF NON-STEADY-STATE MODELS 297 7.4.1 ABUNDANCE AND LINEARIZATION 197 7.4.2 FAST STEP - EQUILIBRIUM APPROXIMATION 2 98 IMAGE 6 CONTENTS 7.4.3 RATE-LIMITING STEP APPROXIMATION 199 7.4.4 QUASI-STEADY-STATE APPROXIMATION 200 NOTATION 206 8 NONLINEAR MECHANISMS: STEADY STATE AND DYNAMICS 221 8.1 CRITICAL PHENOMENA 211 8.2 ISOTHERMAL CRITICAL EFFECTS IN HETEROGENEOUS CATALYSIS: EXPERIMENTAL FACTS 213 8.2.1 MULTIPLICITY OF STEADY STATES 213 8.2.2 SELF-SUSTAINED OSCILLATIONS OF THE REACTION RATE IN HETEROGENEOUS CATALYTIC REACTIONS 215 8.2.3 DIVERSITY OF CRITICAL PHENOMENA AND THEIR CAUSES 226 8.3 IDEAL SIMPLE MODELS: STEADY STATE 217 8.3.1 PARALLEL AND CONSECUTIVE ADSORPTION MECHANISMS 227 8.3.2 IMPACT MECHANISMS 218 8.3.3 SIMPLEST MECHANISM FOR THE INTERPRETATION OF MULTIPLICITY OF STEADY STATES 221 8.3.4 HYSTERESIS: INFLUENCE OF REACTION REVERSIBILITY 227 8.3.5 COMPETITION OF INTERMEDIATES 233 8.4 IDEAL SIMPLE MODELS: DYNAMICS 237 8.4.1 RELAXATION CHARACTERISTICS OF THE PARALLEL ADSORPTION MECHANISM 237 8.4.2 CATALYTIC OSCILLATORS 244 8.4.2.1 SIMPLEST CATALYTIC OSCILLATOR 244 8.4.2.2 RELAXATION OF SELF-SUSTAINED OSCILLATIONS: MODEL 250 8.4.2.3 OTHER CATALYTIC OSCILLATORS 250 8.4.3 FINE STRUCTURE OF KINETIC DEPENDENCES 254 8.5 STRUCTURE OF THE DETAILED MECHANISM AND CRITICAL PHENOMENA: RELATIONSHIPS 256 8.5.1 MECHANISMS WITHOUT INTERACTION BETWEEN INTERMEDIATES 256 8.5.2 HORN-TACKSON-FEINBERG MECHANISM 258 8.6 NON-IDEAL FACTORS 262 8.7 CONCLUSIONS 263 NOTATION 263 9 KINETIC POLYNOMIALS 273 9.1 LINEAR INTRODUCTION TO THE NONLINEAR PROBLEM: REMINDER 273 9.2 NONLINEAR INTRODUCTION 276 9.3 PRINCIPLES OF THE APPROACH: QUASI-STEADY-STATE APPROXIMATION. MATHEMATICAL BASIS 278 9.3.1 INTRODUCTION 278 9.3.2 EXAMPLES 279 IMAGE 7 CONTENTS XI 9.4 KINETIC POLYNOMIALS: DERIVATION AND PROPERTIES 281 9.4.1 RESULTANT REACTION RATE: A NECESSARY MATHEMATICAL BASIS 281 9.4.2 PROPERTIES OF THE KINETIC POLYNOMIAL 283 9.4.3 EXAMPLES OF KINETIC POLYNOMIALS 285 9.4.3.1 ELEY-RIDEAL MECHANISM 285 9.4.3.2 LANGMUIR MECHANISM 286 9.5 KINETIC POLYNOMIAL: CLASSICAL APPROXIMATIONS AND SIMPLIFICATIONS 287 9.5.1 RATE-LIMITING STEP 288 9.5.2 VICINITY OF THERMODYNAMIC EQUILIBRIUM 290 9.5.3 THERMODYNAMIC BRANCH 291 9.6 APPLICATION OF RESULTS OF THE KINETIC-POLYNOMIAL THEORY: CYCLES ACROSS AN EQUILIBRIUM 294 9.7 CRITICAL SIMPLIFICATION 301 9.7.1 CRITICAL SIMPLIFICATION: A SIMPLE EXAMPLE 301 9.7.2 CRITICAL SIMPLIFICATION AND LIMITATION 308 9.7.3 PRINCIPLE OF CRITICAL SIMPLIFICATION: GENERAL UNDERSTANDING AND APPLICATION 309 9.8 CONCLUDING REMARKS 310 APPENDIX 320 NOTATION 322 10 TEMPORAL ANALYSIS OF PRODUCTS: PRINCIPLES, APPLICATIONS AND THEORY 329 10.1 INTRODUCTION 319 10.2 THE TAP EXPERIMENT 321 10.3 DESCRIPTION AND OPERATION OF A TAP REACTOR SYSTEM 322 10.4 BASIC PRINCIPLES OF TAP 324 10.5 POSITION OF TAP AMONG OTHER KINETIC METHODS 326 10.5.1 UNIFORMITY OF THE ACTIVE ZONE 327 10.5.1.1 CONTINUOUS STIRRED-TANK REACTOR 327 10.5.1.2 PLUG-FLOW REACTOR 327 10.5.1.3 TAP REACTOR 327 10.5.2 DOMAIN OF CONDITIONS 327 10.5.3 POSSIBILITY OF OBTAINING RELEVANT KINETIC INFORMATION 328 10.5.4 RELATIONSHIP BETWEEN OBSERVED KINETIC CHARACTERISTICS AND CATALYST PROPERTIES 328 10.5.5 MODEL-FREE KINETIC DATA INTERPRETATION 329 10.5.6 SUMMARY 330 10.6 QUALITATIVE TAP DATA ANALYSIS. EXAMPLES 332 10.6.1 SINGLE-PULSE TAP EXPERIMENTS 332 10.6.2 PUMP-PROBE TAP EXPERIMENTS 333 10.6.3 MULTIPULSE TAP EXPERIMENTS 336 IMAGE 8 XII CONTENTS 10.7 QUANTITATIVE TAP DATA DESCRIPTION. THEORETICAL ANALYSIS 338 10.7.1 ONE-ZONE REACTOR 338 10.7.1.1 DIFFUSION ONLY 338 10.7.1.2 IRREVERSIBLE ADSORPTION 342 10.7.1.3 REVERSIBLE ADSORPTION 343 10.7.2 TWO- AND THREE-ZONE REACTORS 344 10.7.3 THIN-ZONE TAP REACTOR CONFIGURATION 345 10.7.4 MOMENT-BASED QUANTITATIVE DESCRIPTION OF TAP EXPERIMENTS 347 10.8 KINETIC MONITORING: STRATEGY OF INTERROGATIVE KINETICS 350 10.8.1 STATE-BY-STATE KINETIC MONITORING. EXAMPLE: OXIDATION OF FURAN 350 10.8.2 STRATEGY OF INTERROGATIVE KINETICS 357 10.9 THEORETICAL FRONTIERS 358 10.9.1 GLOBAL TRANSFER MATRIX EQUATION 358 10.9.2 Y PROCEDURE 359 10.9.2.1 PRINCIPLES OF THE SOLUTION 360 10.9.2.2 EXACT MATHEMATICAL SOLUTION 363 10.9.2.3 HOW TO RECONSTRUCT THE ACTIVE ZONE CONCENTRATION AND REACTION RATE IN PRACTICE 364 10.9.2.4 NUMERICAL EXPERIMENTS 366 10.9.2.5 SUMMARY OF THE Y PROCEDURE 369 10.9.3 PROBABILISTIC THEORY OF SINGLE-PARTICLE TAP EXPERIMENTS 371 10.10 CONCLUSIONS: WHAT NEXT? 372 NOTATIONS 373 11 DECODING THE PAST 383 11.1 CHEMICAL TIME AND INTERMEDIATES. EARLY HISTORY 383 11.2 DISCOVERY OF CATALYSIS AND CHEMICAL KINETICS 383 11.3 GULDBERG AND WAAGE S BREAKTHROUGH 385 11.4 VAN T HOFPS REVOLUTION: ACHIEVEMENTS AND CONTRADICTIONS 386 11.4.1 UNDISPUTABLE ACHIEVEMENTS 386 11.4.2 CONTRADICTIONS 386 11.5 POST-VAN T HOFF PERIOD: REACTION IS NOT A SINGLE-ACT DRAMA 387 11.6 ALL-IN-ALL CONFUSION: ATTEMPTS AT UNDERSTANDING 388 11.7 OUT OF CONFUSION: PHYSICOCHEMICAL UNDERSTANDING 389 11.8 TOWARDS MATHEMATICAL CHEMICAL KINETICS 390 NOTATION 395 IMAGE 9 CONTENTS I XIII 12 DECODING THE FUTURE 401 12.1 A GREAT ACHIEVEMENT, A GREAT ILLUSION 401 12.2 A NEW PARADIGM FOR DECODING CHEMICAL COMPLEXITY 402 12.2.1 ADVANCED EXPERIMENTAL KINETIC TOOLS 403 12.2.2 NEW MATHEMATICAL TOOLS: CHEMICAL KINETICS AND MATHEMATICS 405 GLOSSARY 409 INDEX 415
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physical XVII, 428 S. Ill., graph. Darst.
publishDate 2011
publishDateSearch 2011
publishDateSort 2011
publisher Wiley-VCH
record_format marc
spellingShingle Marin, Guy B.
Yablonsky, Gregory S.
Kinetics of chemical reactions decoding complexity
Reaktionskinetik (DE-588)4048655-2 gnd
subject_GND (DE-588)4048655-2
title Kinetics of chemical reactions decoding complexity
title_auth Kinetics of chemical reactions decoding complexity
title_exact_search Kinetics of chemical reactions decoding complexity
title_full Kinetics of chemical reactions decoding complexity Guy B. Marin and Gregory S. Yablonsky
title_fullStr Kinetics of chemical reactions decoding complexity Guy B. Marin and Gregory S. Yablonsky
title_full_unstemmed Kinetics of chemical reactions decoding complexity Guy B. Marin and Gregory S. Yablonsky
title_short Kinetics of chemical reactions
title_sort kinetics of chemical reactions decoding complexity
title_sub decoding complexity
topic Reaktionskinetik (DE-588)4048655-2 gnd
topic_facet Reaktionskinetik
url http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024141238&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
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