LEADER 05411nam 2200661Ia 450 001 9910830644303321 005 20220805215210.0 010 $a1-282-13814-6 010 $a9786612138140 010 $a0-470-74162-7 010 $a0-470-74163-5 035 $a(CKB)1000000000719669 035 $a(EBL)427910 035 $a(OCoLC)437111475 035 $a(SSID)ssj0000353955 035 $a(PQKBManifestationID)11264847 035 $a(PQKBTitleCode)TC0000353955 035 $a(PQKBWorkID)10302419 035 $a(PQKB)11499727 035 $a(MiAaPQ)EBC427910 035 $a(PPN)160580943 035 $a(EXLCZ)991000000000719669 100 $a20081020d2009 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aChemistry in motion$b[electronic resource] $ereaction-diffusion systems for micro- and nanotechnology /$fBartosz A. Grzybowski 210 $aHoboken, NJ $cWiley$d2009 215 $a1 online resource (304 p.) 300 $aDescription based upon print version of record. 311 $a0-470-03043-7 320 $aIncludes bibliographical references and index. 327 $aChemistry 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 327 $a3 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 327 $a4.4.1.1 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 327 $aAPPENDIX 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 327 $a7 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 327 $a8 Reaction-Diffusion at Interfaces: Structuring Solid Materials 330 $aChange 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 606 $aReaction mechanisms (Chemistry) 606 $aReaction-diffusion equations 606 $aMicrotechnology$xMathematics 606 $aNanotechnology$xMathematics 615 0$aReaction mechanisms (Chemistry) 615 0$aReaction-diffusion equations. 615 0$aMicrotechnology$xMathematics. 615 0$aNanotechnology$xMathematics. 676 $a541.39 700 $aGrzybowski$b Bartosz A$01721409 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910830644303321 996 $aChemistry in motion$94121014 997 $aUNINA