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KineticsNthOrderAgglomerateConcentrationFromPA0AndPAInf Method

Represents the solution of a nth order kinetics to the problem of aggregation.

Namespace: Altaxo.Calc.FitFunctions.Kinetics
Assembly: AltaxoCore (in AltaxoCore.dll) Version: 4.8.3179.0 (4.8.3179.0)
Syntax
C#
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public static double AgglomerateConcentrationFromPA0AndPAInf(
	double t,
	double pA0,
	double pAInf,
	double k,
	double order,
	double pSample
)

Parameters

t  Double
Time.
pA0  Double
Volume fraction of aggregates at time t=0.
pAInf  Double
Volume fraction of aggregates at time t=Infinity.
k  Double
Kinetic constant.
order  Double
Order of the kinetics. Has to be equal or greater than 0.
pSample  Double
Total volume fraction of aggregating species in the sample.

Return Value

Double
The volume fraction of aggregates at time t. At time t=0, this value is pA0. For t going to infinity, this value tends to pAInf.
Remarks
The provided volume fraction of aggregating species pSampleis influencing only the rate. It is important only if you want to compare aggregation processes for sample with different content of aggregating species. If such a comparism is not neccessary, you can set pSample to 1. The kinetic equation for this problem (see CoreSolution(Double, Double, Double, Double) is formulated with the number of free aggregating particles as variable x and the number of aggregating particels inside aggregates as the variable y. The solution was reformulated with volume fractions, using a new kinetic constant scaled by the volume of one aggregating particel.
See Also