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=== Detailed example: the hydrogen-bromine reaction === The reaction H<sub>2</sub> + Br<sub>2</sub> → 2 HBr proceeds by the following mechanism:<ref name=Laidler291>[[Keith J. Laidler|Laidler K.J.]], ''Chemical Kinetics'' (3rd ed., Harper & Row 1987) p.291-4 {{ISBN|0-06-043862-2}}</ref><ref name=Atkins>P. Atkins and J. de Paula ''Physical Chemistry'' (8th ed., W.H. Freeman 2006), p.830-1 {{ISBN|0-7167-8759-8}}</ref> * Initiation : Br<sub>2</sub> → 2 Br• (thermal) or Br<sub>2</sub> + hν → 2 Br• (photochemical) : each Br atom is a free radical, indicated by the symbol "•" representing an unpaired electron. * Propagation (here a cycle of two steps) : Br• + H<sub>2</sub> → HBr + H• : H• + Br<sub>2</sub> → HBr + Br• : the sum of these two steps corresponds to the overall reaction H<sub>2</sub> + Br<sub>2</sub> → 2 HBr, with [[catalysis]] by Br• which participates in the first step and is regenerated in the second step. * Retardation (inhibition) : H• + HBr → H<sub>2</sub> + Br• : this step is specific to this example, and corresponds to the first propagation step in reverse. * Termination 2 Br• → Br<sub>2</sub> : recombination of two radicals, corresponding in this example to initiation in reverse. As can be explained using the [[Steady state (chemistry)|steady-state approximation]], the thermal reaction has an initial rate of [[Order of reaction#Fractional order|fractional order]] (3/2), and a complete rate equation with a two-term denominator ([[Order of reaction#Mixed order|mixed-order kinetics]]).<ref name=Laidler291/><ref name=Atkins/>
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