ON INFINITARY QUASIGROUPS Valentin D. Belousov and Zoran M ...
Belousov-Zhabotinsky reaction - ETH Z · 2018. 3. 20. · Belousov-Zhabotinsky reaction Marco...
Transcript of Belousov-Zhabotinsky reaction - ETH Z · 2018. 3. 20. · Belousov-Zhabotinsky reaction Marco...
![Page 1: Belousov-Zhabotinsky reaction - ETH Z · 2018. 3. 20. · Belousov-Zhabotinsky reaction Marco Mazzotti Modeling and mathematical methods FS 2018 Experimental evidence (Cerium) •](https://reader035.fdocuments.us/reader035/viewer/2022081616/5fe66249be22ed41f07cff27/html5/thumbnails/1.jpg)
Belousov-Zhabotinskyreaction
MarcoMazzottiModelingandmathematicalmethods
FS2018
![Page 2: Belousov-Zhabotinsky reaction - ETH Z · 2018. 3. 20. · Belousov-Zhabotinsky reaction Marco Mazzotti Modeling and mathematical methods FS 2018 Experimental evidence (Cerium) •](https://reader035.fdocuments.us/reader035/viewer/2022081616/5fe66249be22ed41f07cff27/html5/thumbnails/2.jpg)
Experimentalevidence(Cerium)• Malonicacidoxidationbybromateinacidicsolution,catalyzedbya
metalion(Ce4+)• Longseriesofoscillationsintheconcentrationoftheintermediate
species(withachromaticeffect)• Themainreactantsareirreversiblyconsumed(butveryslowly)• Finally,theoscillationsvanishandchemicalequilibriumis
monotonicallyapproached
![Page 3: Belousov-Zhabotinsky reaction - ETH Z · 2018. 3. 20. · Belousov-Zhabotinsky reaction Marco Mazzotti Modeling and mathematical methods FS 2018 Experimental evidence (Cerium) •](https://reader035.fdocuments.us/reader035/viewer/2022081616/5fe66249be22ed41f07cff27/html5/thumbnails/3.jpg)
Chemistry
![Page 4: Belousov-Zhabotinsky reaction - ETH Z · 2018. 3. 20. · Belousov-Zhabotinsky reaction Marco Mazzotti Modeling and mathematical methods FS 2018 Experimental evidence (Cerium) •](https://reader035.fdocuments.us/reader035/viewer/2022081616/5fe66249be22ed41f07cff27/html5/thumbnails/4.jpg)
Experimentalevidence(ferroin)
![Page 5: Belousov-Zhabotinsky reaction - ETH Z · 2018. 3. 20. · Belousov-Zhabotinsky reaction Marco Mazzotti Modeling and mathematical methods FS 2018 Experimental evidence (Cerium) •](https://reader035.fdocuments.us/reader035/viewer/2022081616/5fe66249be22ed41f07cff27/html5/thumbnails/5.jpg)
Detailedmechanism
![Page 6: Belousov-Zhabotinsky reaction - ETH Z · 2018. 3. 20. · Belousov-Zhabotinsky reaction Marco Mazzotti Modeling and mathematical methods FS 2018 Experimental evidence (Cerium) •](https://reader035.fdocuments.us/reader035/viewer/2022081616/5fe66249be22ed41f07cff27/html5/thumbnails/6.jpg)
Detailedmechanism–Inorganicsubset
![Page 7: Belousov-Zhabotinsky reaction - ETH Z · 2018. 3. 20. · Belousov-Zhabotinsky reaction Marco Mazzotti Modeling and mathematical methods FS 2018 Experimental evidence (Cerium) •](https://reader035.fdocuments.us/reader035/viewer/2022081616/5fe66249be22ed41f07cff27/html5/thumbnails/7.jpg)
Detailedmechanism–Radicalsandorganicspecies
![Page 8: Belousov-Zhabotinsky reaction - ETH Z · 2018. 3. 20. · Belousov-Zhabotinsky reaction Marco Mazzotti Modeling and mathematical methods FS 2018 Experimental evidence (Cerium) •](https://reader035.fdocuments.us/reader035/viewer/2022081616/5fe66249be22ed41f07cff27/html5/thumbnails/8.jpg)
Mechanismoftheoscillations
![Page 9: Belousov-Zhabotinsky reaction - ETH Z · 2018. 3. 20. · Belousov-Zhabotinsky reaction Marco Mazzotti Modeling and mathematical methods FS 2018 Experimental evidence (Cerium) •](https://reader035.fdocuments.us/reader035/viewer/2022081616/5fe66249be22ed41f07cff27/html5/thumbnails/9.jpg)
Mechanismoftheoscillations
![Page 10: Belousov-Zhabotinsky reaction - ETH Z · 2018. 3. 20. · Belousov-Zhabotinsky reaction Marco Mazzotti Modeling and mathematical methods FS 2018 Experimental evidence (Cerium) •](https://reader035.fdocuments.us/reader035/viewer/2022081616/5fe66249be22ed41f07cff27/html5/thumbnails/10.jpg)
Mechanismoftheoscillations
r1 = k1 H+!" #$2BrO3
−!" #$ Br−!" #$
r2 = k2 H+!" #$ HBrO2[ ] Br−!" #$
r3 = k3 H+!" #$ HBrO2[ ] BrO3
−!" #$
r4 = k4 HBrO2[ ]2
r5 = k5 Ce4+!" #$ MA[ ]
![Page 11: Belousov-Zhabotinsky reaction - ETH Z · 2018. 3. 20. · Belousov-Zhabotinsky reaction Marco Mazzotti Modeling and mathematical methods FS 2018 Experimental evidence (Cerium) •](https://reader035.fdocuments.us/reader035/viewer/2022081616/5fe66249be22ed41f07cff27/html5/thumbnails/11.jpg)
Kineticscheme:Oregonator
![Page 12: Belousov-Zhabotinsky reaction - ETH Z · 2018. 3. 20. · Belousov-Zhabotinsky reaction Marco Mazzotti Modeling and mathematical methods FS 2018 Experimental evidence (Cerium) •](https://reader035.fdocuments.us/reader035/viewer/2022081616/5fe66249be22ed41f07cff27/html5/thumbnails/12.jpg)
Kineticscheme:Oregonator
![Page 13: Belousov-Zhabotinsky reaction - ETH Z · 2018. 3. 20. · Belousov-Zhabotinsky reaction Marco Mazzotti Modeling and mathematical methods FS 2018 Experimental evidence (Cerium) •](https://reader035.fdocuments.us/reader035/viewer/2022081616/5fe66249be22ed41f07cff27/html5/thumbnails/13.jpg)
Oregonator(dimensionless)
εdxdτ
= qay− xy+ax − x2
δdydτ
= −qay− xy+ fbz
dzdτ
= ax −bz
ε = 0.12 δ = 0.0006 q = 0.0008 f = varying parameter ≈ 1 a,b = constant