Natálie Friedová

22. 07. 2011

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

Sodium bromate Ferroin

BZ - reaction

Boris Pavlovich Belousov

Anatoly Markovich Zhabotinsky

• explained by the graduate student - soviet

chemist Zhabotinsky

• for the first time presented at a conference in Prague in 1968• model of citric acid cycle

• discovered by the soviet chemist Belousov in 1950

• 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

Aim of our project Aim of our project

H2SO4 H2O H2O

H2OFerroin(1,10 -phenanthroline)

NaBrO3 NaBr

CH2(COOH)2

Video of theVideo of the reaction in the different reaction in the different

shapes shapes

a = 30 mm

a = 90 mm

b = 5 mm

a = 50 mm c = 50 mm

a = 12,83 mmb = 41,92 mm

α = 12,5 °

β = 45°

MethodsMethods

• 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

n

iipXH

1

log1

1)(

1. Triangle2. Rectangle

3.Square4. Petri dish

ResultsResults

- 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.

This research was made under the project of the Summer academic courses ( in July 2011)Laboratory:Institute of Physical Biology, Zámek 136, Nové Hrady 373 33, CZELeader of the project: MSc. Tomáš Náhlík

• 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

• 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-procedura texture.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

Pictures

• A. 25 g NaBrO3 , 335 ml H2O, 10 ml H2SO4

• B. 10 g NaBr, 100 ml H2O • C. 10 g CH2 (COOH)2 , 100 ml H2O • D. 1,10 phenantroline ferrous complex

• 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 bromate colourise fusion to blue

HBrO3 HBrO2

Fe(phen)32+ Fe(phen)3

3+

Br- RBr