Direct Trace Fitting of Experimental Data Using the Master Equation: Testing Theory and Experiments on the OH + C2H4
D J Medeiros, S H Robertson1, M A Blitz
1Dassault Systèmes, 334 Science Park, Milton Road, Cambridge CB4 0WN, United Kingdom.
The Journal of Physical Chemistry. A
|May 1, 2020
Summary
This study precisely measured the binding energy of the hydroxyethyl radical (HOC2H4) adduct using laser flash photolysis and fluorescence. The findings confirm theoretical calculations and improve understanding of OH radical reactions with ethylene.
Area of Science:
- Chemical Kinetics and Dynamics
- Combustion Chemistry
- Atmospheric Chemistry
Background:
- Understanding the reaction mechanism between hydroxyl radicals (OH) and ethylene (C2H4) is crucial for combustion and atmospheric chemistry.
- Accurate determination of the binding energy for the hydroxyethyl radical (HOC2H4) adduct is essential for modeling these processes.
- Previous studies have provided estimates, but precise experimental validation is needed.
Purpose of the Study:
- To experimentally determine the binding energy (ΔRH00) of the HOC2H4 adduct formed from the OH + C2H4 reaction.
- To investigate the influence of OH abstraction pathways at elevated temperatures.
- To validate and refine theoretical calculations for this important reaction system.
Main Methods:
- Utilized laser flash photolysis coupled with laser-induced fluorescence detection of OH radicals.
- Studied the OH + C2H4 reaction over a temperature range of 563–723 K and N2 pressures from 58–250 Torr.
- Employed a master equation approach, fitting time-resolved OH decay traces to extract thermodynamic data and kinetic parameters.
Main Results:
- Precisely determined the binding energy of the HOC2H4 adduct to be 111.8 ± 2 kJ mol⁻¹.
- The experimental binding energy is in excellent agreement with high-level ab initio calculations (111.4 kJ mol⁻¹).
- Identified and quantified the role of the OH abstraction channel at higher temperatures.
Conclusions:
- The study provides a highly accurate experimental value for the HOC2H4 adduct binding energy.
- The MESMER master equation code was successfully extended to include secondary chemistry, improving analysis.
- Results contribute to a more robust understanding of OH radical reactions with alkenes in combustion and atmospheric environments.
Related Concept Videos
Experimental Determination of Chemical Formula
46.1K
The elemental makeup of a compound defines its chemical identity, and chemical formulas are the most concise way of representing this elemental makeup. When a compound’s formula is unknown, measuring the mass of its constituent elements is often the first step in determining the formula experimentally.
46.1K
Hess's Law
53.9K
There are two ways to determine the amount of heat involved in a chemical change: measure it experimentally, or calculate it from other experimentally determined enthalpy changes. Some reactions are difficult, if not impossible, to investigate and make accurate measurements for experimentally. And even when a reaction is not hard to perform or measure, it is convenient to be able to determine the heat involved in a reaction without having to perform an experiment.
53.9K
Calculating the Equilibrium Constant
37.2K
The equilibrium constant for a reaction is calculated from the equilibrium concentrations (or pressures) of its reactants and products. If these concentrations are known, the calculation simply involves their substitution into the Kc expression.
For example, gaseous nitrogen dioxide forms dinitrogen tetroxide according to this equation:
For example, gaseous nitrogen dioxide forms dinitrogen tetroxide according to this equation:
37.2K
Rate-Determining Steps
36.2K
Relating Reaction Mechanisms
In a multistep reaction mechanism, one of the elementary steps progresses significantly slower than the others. This slowest step is called the rate-limiting step (or rate-determining step). A reaction cannot proceed faster than its slowest step, and hence, the rate-determining step limits the overall reaction rate.
The concept of rate-determining step can be understood from the analogy of a 4-lane freeway with a short-stretch of traffic-bottleneck caused due to...
In a multistep reaction mechanism, one of the elementary steps progresses significantly slower than the others. This slowest step is called the rate-limiting step (or rate-determining step). A reaction cannot proceed faster than its slowest step, and hence, the rate-determining step limits the overall reaction rate.
The concept of rate-determining step can be understood from the analogy of a 4-lane freeway with a short-stretch of traffic-bottleneck caused due to...
36.2K
Arrhenius Plots
46.2K
The Arrhenius equation relates the activation energy and the rate constant, k, for chemical reactions. In the Arrhenius equation, k = Ae−Ea/RT, R is the ideal gas constant, which has a value of 8.314 J/mol·K, T is the temperature on the kelvin scale, Ea is the activation energy in J/mole, e is the constant 2.7183, and A is a constant called the frequency factor, which is related to the frequency of collisions and the orientation of the reacting molecules.
The Arrhenius equation can be used...
The Arrhenius equation can be used...
46.2K
Temperature Dependence on Reaction Rate
88.0K
The Collision Theory
Atoms, molecules, or ions must collide before they can react with each other. Atoms must be close together to form chemical bonds. This premise is the basis for a theory that explains many observations regarding chemical kinetics, including factors affecting reaction rates.
The collision theory is based on the postulates that (i) the reaction rate is proportional to the rate of reactant collisions, (ii) the reacting species collide in an orientation allowing contact between...
Atoms, molecules, or ions must collide before they can react with each other. Atoms must be close together to form chemical bonds. This premise is the basis for a theory that explains many observations regarding chemical kinetics, including factors affecting reaction rates.
The collision theory is based on the postulates that (i) the reaction rate is proportional to the rate of reactant collisions, (ii) the reacting species collide in an orientation allowing contact between...
88.0K


