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22 . 07. 2011. Natálie Friedová. Belousov–Zhabotinsky Reaction. example of the non–equilibrium thermodynamics resulting in the establishment of a nonlinear chemical oscillator the change of colour during the reaction bases on the oxidation of ferroin
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22. 07. 2011 Natálie Friedová Belousov–Zhabotinsky Reaction
example of the non–equilibrium thermodynamics • resulting in the establishment of a nonlinear chemical oscillator • the change of colour during the reaction bases on the oxidation of ferroin • consists of 80 chemical reactions • 2 main types – bubble x bubble free reaction BZ - reaction Sodium bromate Ferroin
discovered by the soviet chemist Belousov in 1950 • explained by the graduate student - soviet chemist Zhabotinsky Boris Pavlovich Belousov • for the first time presented at a conference in Prague in 1968 • model of citric acid cycle Anatoly Markovich Zhabotinsky
Aim of our project • Our goal: -> discovering differences between the reactions in the different shapes -> learn how to construct a state trajectory of the reaction • For the future research: -> we would like to test the possibility of using these algorithms to construct the state trajectory of the cell -> with this knowledge find the way how to understand the behavior of the cell
NaBrO3 H2SO4 H2O H2O NaBr Ferroin (1,10-phenanthroline) CH2(COOH)2 H2O
Model Experiment
Video ofthe reaction in thedifferentshapes a = 30 mm b = 41,92 mm a = 12,83 mm α = 12,5 ° a = 50 mm c = 50 mm a = 90 mm β = 45° b = 5 mm
Methods • Our analysis was made in the program: The Unscrambler X 10.1 • Method: Processing of images by using information entropy (entropy based on Rényi equation) • By changing parameter α we emphasize different part of image • State trajectory – RGB images of BZ reaction, from each image we compute 13 entropy images 3 x 13 = 39 channels • PCA • different clusters– k–mean clustering • comparing the graphs
2. Rectangle 1. Triangle 4. Petridish 3.Square
Results • - We prepared the reaction in the different shapes. • - The speed of the reaction depends on the shape and volume. • - In triangle and square the reaction starts in the corner, in the Petri dish, it starts randomly on the border. • - We constructed the state trajectory of the reaction and the detail analysis will be presented later. • - The state trajectory of each shape is different but the ground of all of them is spiral.
Thisresearchwas made under the project of the Summer academic courses ( in July 2011) Laboratory:Institute of Physical Biology, Zámek 136, Nové Hrady 37333, CZE Leader of the project: MSc. TomášNáhlík
J.Phys.Chem. 1987,91,2181-2184 Bubble – Free Belousov- Zhabotinskii-Type Reactions • http://nelterm.kof.zcu.cz/chemie/uvod/chuvod.htm • http://en.wikipedia.org/wiki/BZ_reaction • http://www.scholarpedia.org/article/Belousov-Zhabotinsky_reaction Pictures • http://www.chemicalsources.net/sodium-bromate-99-5-14313.htm • http://www.ask.com/wiki/Ferroin • http://en.wikipedia.org/wiki/Boris_Pavlovich_Belousov • http://blogs.msdn.com/b/jgalasyn/archive/2008/04/17/using-writeablebitmap-to-display-a-proceduratexture.aspx • http://www.faidherbe.org/site/cours/dupuis/oscil.htm • http://www.faidherbe.org/site/cours/dupuis/oscil.htm • http://www.scholarpedia.org/article/Belousov-Zhabotinsky_reaction • http://hopf.chem.brandeis.edu/w_s_b.html • http://www.math.ubc.ca/~conway/ComPatt.html • http://commons.wikimedia.org/wiki/File:Ferroin2.png?uselang=de • http://www.coleparmer.com/1/1/30299-copper-ii-bromide-anhydrous-99-5g-yo-88220-79.html • http://math.ucr.edu/home/baez/week235.html • http://oko.yin.cz/1/kyselina-sirova • http://www.green-planet-solar-energy.com/h2o-molecule.html • http://nelterm.kof.zcu.cz/chemie/uvod/chuvod.htm • http://lclane2.net/bz.html • http://drjackcohen.com/BZ01.html
Recipe • A. 25 g NaBrO3 , 335 ml H2O, 10 ml H2SO4 • B. 10 g NaBr, 100 mlH2O • C. 10 g CH2(COOH)2 , 100 ml H2O • D. 1,10 phenantroline ferrous complex
Reaction • oxidation of organic substance (malonic acid) by bromate, producing CO2 • catalysed by the redox indicator • reaction of substrate with bromine -> brominederivate • Br- are released – inhibitor • oxidation ferroin by the bromide to ferrin , production of HBrO2 • after the oxidation of all ferroin the reaction starts again -> ferroin -> brommalonic acid • changing colours: ferroin with bromide colourise fusion to red ferrin with bromatecolourise fusion to blue HBrO3HBrO2 Fe(phen)32+ Fe(phen)33+ Br-RBr