About ChemRate Software


ChemRate CPS, allows the calculation of a Arrhenuis factor and a rate constant of chemical reactions with split-hair accuracy, precision of calculation frequently above precision of the observational measurings. Evaluations bases on modern quantum chemistry methods and the unique algorithms allowing considerably to increase precision of calculation.

Who uses ChemRate programs?

  • Students are investigating quantum or physical chemistry.
  • Scientists in the field of organic, quantum, physical and computiational chemistry.
  • Any clever people who is interested in chemistry.

Сhemical kinetics, investigates reaction rate. Fundamental law of a chemical kinetics is the postulate expressing dependence of reaction rate from concentration of reactants: reaction rate in each instant is proportional to product of concentrations of the reactants raised in some degree. So, for reaction can be noted:

- rate constant, - concentration of carbonic oxide, - concentration of water

Philosophy of calculations

rate constant, can be found from the Arrhenius equation:

Ea - Energy of activation, A - Arrhenius factor

Arhenuis factor can be determined from the next equation:

Qtrans - tranclational partition function, Qrot - rotational partition function, Qvib - vibrational partition function, Qint.rot - partition function for internal rotations. Q#-partition functions for transition state

Translational partition function:

Rotational partition function:

Ia, Ib, Ic - moments of inertia of a molecule concerning main spin axes, - symmetry number, quantity of times a molecule can be combined at rotational displacement

Vibrational partition function for a polyatomic molecule with number i vibrational degrees of freedom can be written down in the form of product of the partition functions i various oscillators:

Internal rotation

For qualitative calculation of a preexponential factor, it is necessary to consider an internal rotation. Internal rotation can be free, hindered and at a large barrier becomes torsion vibrations. The shape of function of a potential of rotation determines symmetry of a top or absence of symmetry. Potential of the symmetric top is featured by the equation:

Vo - height of a barrier, n - symmetry number of a top

The potential of rotation of the asymmetrical top, can be presented in the form of a Fourier series:

:

n - number in decomposition of potential function

Energy (eigenvalues) of internal rotation is the solution of the quantum mechanical equation:

Using eigenvalues of energy of an internal rotation, we can take advantage of the reference formula for partition function: