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KineticsNthOrderAgglomerateConcentrationFromP0AndPInsideAggregate 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 AgglomerateConcentrationFromP0AndPInsideAggregate(
	double t,
	double p0,
	double k,
	double order,
	double pSample,
	double pInsideAggregate
)

Parameters

t  Double
Time.
p0  Double
Volume fraction of aggregating species at time t=0, which is free (i.e. which is at this time not contained inside an aggragate).
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.
pInsideAggregate  Double
Aggregates are assumed to contain a constant volume fraction of aggregating species. This parameter represents this constant.

Return Value

Double
The volume fraction of aggregates at time t. At time t=0, this value is (pSample-p0)/pInsideAggregate. For t going to infinity, this value tends to pSample/pInsideAggregate.
Remarks
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