definition of Wikipedia
Collision theory is a theory proposed independently by  Max Trautz in 1916 and William Lewis in 1918, that qualitatively explains how chemical reactions occur and why reaction rates differ for different reactions. The collision theory can only occur when the suitable particles of the reactant hit with each other. Only a certain percentage of the sum of the collisions cause any noticeable or significant chemical change; these successful changes are called successful collisions. The successful collisions have enough energy, also known as activation energy, at the moment of impact to break the preexisting bonds and form all new bonds. This results in the products of the reaction. Increasing the concentration of the reactant particles or raising the temperature, thus bringing about more collisions and therefore many more successful collisions, increases the rate of reaction.
When a catalyst is involved in the collision between the reactant molecules, less energy is required for the chemical change to take place, and hence more collisions have sufficient energy for reaction to occur. The reaction rate therefore increases.
Collision theory is closely related to chemical kinetics.
The rate constant for a bimolecular gas phase reaction, as predicted by collision theory is:
The collision frequency is:
Consider the reaction:
In collision theory it is considered that two particles A and B will collide if their nuclei get closer than a certain distance. The area around a molecule A in which it can collide with an approaching B molecule is called the cross section (σAB) of the reaction and is, in principle, the area corresponding to a circle whose radius (rAB) is the sum of the radii of both reacting molecules, which are supposed to be spherical. A moving molecule will therefore sweep a volume per second as it moves, where is the average velocity of the particle.
The solution of the two body problem states that two different moving bodies can be treated as one body which has the reduced mass of both and moves with the velocity of the center of mass, so, in this system must be used instead of .
Therefore, the total collision frequency, of all A molecules, with all B molecules, is:
From Maxwell Boltzmann distribution it can be deduced that the fraction of collisions with more energy than the activation energy is . Therefore the rate of a bimolecular reaction for ideal gases will be:
Once a theory is formulated, its validity must be tested, that is, compare its predictions with the results of the experiments.
When the expression form of the rate constant is compared with the rate equation for an elementary bimolecular reaction, , it is noticed that .
That expression is similar to the Arrhenius equation, and gives the first theoretical explanation for the Arrhenius equation on a molecular basis. The weak temperature dependence of the preexponential factor is so small compared to the exponential factor that it cannot be measured experimentally, that is, "it is not feasible to establish, on the basis of temperature studies of the rate constant, whether the predicted T½ dependence of the preexponential factor is observed experimentally"
If the values of the predicted rate constants are compared with the values of known rate constants it is noticed that collision theory fails to estimate the constants correctly and the more complex the molecules are, the more it fails. The reason for this is that particles have been supposed to be spherical and able to react in all directions; that is not true, as the orientation of the collisions is not always the right one. For example in the hydrogenation reaction of ethylene the H2 molecule must approach the bonding zone between the atoms, and only a few of all the possible collisions fulfill this requirement.
To alleviate this problem, a new concept must be introduced: the steric factor, ρ. It is defined as the ratio between the experimental value and the predicted one (or the ratio between the frequency factor and the collision frequency, and it is most often less than unity.
Usually, the more complex the reactant molecules, the lower the steric factor. Nevertheless, some reactions exhibit steric factors greater than unity: the harpoon reactions, which involve atoms that exchange electrons, producing ions. The deviation from unity can have different causes: the molecules are not spherical, so different geometries are possible; not all the kinetic energy is delivered into the right spot; the presence of a solvent (when applied to solutions), etc.
|Experimental rate constants compared to the ones predicted by collision theory for gas phase reactions|
|Reaction||A (Azra frequency factor)||Z (collision frequency)||Steric factor|
|2ClNO → 2Cl + 2NO||9.4 109||5.9 1010||0.16|
|2ClO → Cl2 + O2||6.3 107||2.5 1010||2.3 10−3|
|H2 + C2H4 → C2H6||1.24 106||7.3 1011||1.7 10−6|
|Br2 + K → KBr + Br||1012||2.1 1011||4.3|
Collision theory can be applied to reactions in solution; in that case, the solvent cage has an effect on the reactant molecules and several collisions can take place in a single encounter, which leads to predicted preexponential factors being too large. ρ values greater than unity can be attributed to favorable entropic contributions.
|Experimental rate constants compared to the ones predicted by collision theory for reactions in solution|
|Reaction||Solvent||A 10−11||Z 10−11||Steric factor|
|C2H5Br + OH-||C2H5OH||4.30||3.86||1.11|
|C2H5O- + CH3I||C2H5OH||2.42||1.93||1.25|
|ClCH2CO2- + OH-||water||4.55||2.86||1.59|
|C3H6Br2 + I-||CH3OH||1.07||1.39||0.77|
|HOCH2CH2Cl + OH-||water||25.5||2.78||9.17|
|4-CH3C6H4O- + CH3I||ethanol||8.49||1.99||4.27|
|CH3(CH2)2Cl + I-||(CH3)2CO||0.085||1.57||0.054|
|C5H5N + CH3I||C2H2Cl4||-||-||2.0 10−6|
Dictionary and translator for handheld
New : sensagent is now available on your handheld
A windows (pop-into) of information (full-content of Sensagent) triggered by double-clicking any word on your webpage. Give contextual explanation and translation from your sites !
With a SensagentBox, visitors to your site can access reliable information on over 5 million pages provided by Sensagent.com. Choose the design that fits your site.
Improve your site content
Add new content to your site from Sensagent by XML.
Crawl products or adds
Get XML access to reach the best products.
Index images and define metadata
Get XML access to fix the meaning of your metadata.
Please, email us to describe your idea.
Lettris is a curious tetris-clone game where all the bricks have the same square shape but different content. Each square carries a letter. To make squares disappear and save space for other squares you have to assemble English words (left, right, up, down) from the falling squares.
Boggle gives you 3 minutes to find as many words (3 letters or more) as you can in a grid of 16 letters. You can also try the grid of 16 letters. Letters must be adjacent and longer words score better. See if you can get into the grid Hall of Fame !
Change the target language to find translations.
Tips: browse the semantic fields (see From ideas to words) in two languages to learn more.