Chemistry in motion : reaction-diffusion systems for micro- and nanotechnology / / Bartosz A. Grzybowski

• Record Nr.: UNINA9910877244103321
• Autore: Grzybowski Bartosz A
• Pubbl/distr/stampa: Hoboken, NJ, : Wiley, 2009
• ISBN: 1-282-13814-6; 9786612138140; 0-470-74162-7; 0-470-74163-5
• Descrizione fisica: 1 online resource (304 p.)
• Disciplina: 541.39
• Soggetti: Reaction mechanism; Reaction-diffusion equations; Microtechnology - Mathematics; Nanotechnology - Mathematics
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: Chemistry in Motion: Reaction-Diffusion Systems for Micro- and Nanotechnology; Contents; Preface; List of Boxed Examples; 1 Panta Rei: Everything Flows; 1.1 HISTORICAL PERSPECTIVE; 1.2 WHAT LIES AHEAD?; 1.3 HOW NATURE USES RD; 1.3.1 Animate Systems; 1.3.2 Inanimate Systems; 1.4 RD IN SCIENCE AND TECHNOLOGY; REFERENCES; 2 Basic Ingredients: Diffusion; 2.1 DIFFUSION EQUATION; 2.2 SOLVING DIFFUSION EQUATIONS; 2.2.1 Separation of Variables; 2.2.2 Laplace Transforms; 2.3 THE USE OF SYMMETRY AND SUPERPOSITION; 2.4 CYLINDRICAL AND SPHERICAL COORDINATES; 2.5 ADVANCED TOPICS; REFERENCES; 3 Chemical Reactions3.1 REACTIONS AND RATES; 3.2 CHEMICAL EQUILIBRIUM; 3.3 IONIC REACTIONS AND SOLUBILITY PRODUCTS; 3.4 AUTOCATALYSIS, COOPERATIVITY AND FEEDBACK; 3.5 OSCILLATING REACTIONS; 3.6 REACTIONS IN GELS; REFERENCES; 4 Putting It All Together: Reaction-Diffusion Equations and the Methods of Solving Them; 4.1 GENERAL FORM OF REACTION-DIFFUSION EQUATIONS; 4.2 RD EQUATIONS THAT CAN BE SOLVED ANALYTICALLY; 4.3 SPATIAL ; DISCRETIZATION; 4.3.1 Finite Difference Methods; 4.3.2 Finite Element Methods; 4.4 TEMPORAL DISCRETIZATION AND INTEGRATION; 4.4.1 Case 1: tRxn > tDiff; 4.4.1.1 Forward time centered space (FTCS) differencing4.4.1.2 Backward time centered space (BTCS) differencing; 4.4.1.3 Crank-Nicholson method; 4.4.1.4 Alternating direction implicit method in two and three dimensions; 4.4.2 Case 2: tRxn << tDiff; 4.4.2.1 Operator splitting method; 4.4.2.2 Method of lines; 4.4.3 Dealing with Precipitation Reactions; 4.5 HEURISTIC RULES FOR SELECTING A NUMERICAL METHOD; 4.6 MESOSCOPIC MODELS; REFERENCES; 5 Spatial Control of Reaction-Diffusion at Small Scales: Wet Stamping (WETS); 5.1 CHOICE OF GELS; 5.2 FABRICATION; APPENDIX 5A: PRACTICAL GUIDE TO MAKING AGAROSE STAMPS5A.1 PDMS Molding; 5A.2 Agarose Molding; REFERENCES; 6 Fabrication by Reaction-Diffusion: Curvilinear Microstructures for Optics and Fluidics; 6.1 MICROFABRICATION: THE SIMPLE AND THE DIFFICULT; 6.2 FABRICATING ARRAYS OF MICROLENSES BY RD AND WETS; 6.3 INTERMEZZO: SOME THOUGHTS ON RATIONAL DESIGN; 6.4 GUIDING MICROLENS FABRICATION BY LATTICE GAS MODELING; 6.5 DISJOINT FEATURES AND MICROFABRICATION OF MULTILEVEL STRUCTURES; 6.6 MICROFABRICATION OF MICROFLUIDIC DEVICES; 6.7 SHORT SUMMARY; REFERENCES; 7 Multitasking: Microand Nanofabrication with Periodic Precipitation7.1 PERIODIC PRECIPITATION; 7.2 PHENOMENOLOGY OF PERIODIC PRECIPITATION; 7.3 GOVERNING EQUATIONS; 7.4 MICROSCOPIC PP PATTERNS IN TWO DIMENSIONS; 7.4.1 Feature Dimensions and Spacing; 7.4.2 Gel Thickness; 7.4.3 Degree of Gel Crosslinking; 7.4.4 Concentration of the Outer and Inner Electrolytes; 7.5 TWO-DIMENSIONAL PATTERNS FOR DIFFRACTIVE OPTICS; 7.6 BUCKLING INTO THE THIRD DIMENSION: PERIODIC 'NANOWRINKLES'; 7.7 TOWARD THE APPLICATIONS OF BUCKLED SURFACES; 7.8 PARALLEL REACTIONS AND THE NANOSCALE; REFERENCES; 8 Reaction-Diffusion at Interfaces: Structuring Solid Materials
• Sommario/riassunto: Change and motion define and constantly reshape the world around us, on scales from the molecular to the global. In particular, the subtle interplay between chemical reactions and molecular transport gives rise to an astounding richness of natural phenomena, and often manifests itself in the emergence of intricate spatial or temporal patterns. The underlying theme of this book is that by "setting chemistry in motion" in a proper way, it is not only possible to discover a variety of new phenomena, in which chemical reactions are coupled with diffusion, but also to build micro-/nanoarchitectures