Critical Packing Parameter Calculator

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Colloidal Structures in Surfactant Solutions

BET Adsorption Isotherm

Capillarity and Surface Forces in Liquids (Curved Surfaces)

Freundlich adsorption isotherm

Important Formulas of Adsorption Isotherm

Important Formulas of Colloids

Important Formulas on Surface Tension

Langmuir Adsorption Isotherm

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Critical Packing Parameter

Electrophoresis and other Electrokinetics Phenomena

Micellar Aggregation Number

Specific Surface Area

Tanford Equation

✖Surfactant tail Volume is defined as the volume occupied by the tail of the surfactant.ⓘ Surfactant Tail Volume [v]			+10% -10%
✖Optimal Area is defined as equilibrium area per molecule (head group) at the aggregate interface.ⓘ Optimal Area [a_o]			+10% -10%
✖Tail length is defined as the measurement of the extent of something along its greatest dimension.ⓘ Tail Length [l]			+10% -10%

✖Critical Packing Parameter is defined as a measure of the ratio between the portion hydrophilic head and the portion hydrophobic tail of the surfactant.ⓘ Critical Packing Parameter [CPP]

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Formula

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Critical Packing Parameter

Formula

`"CPP" = "v"/("a"_{"o"}*"l")`

Example

`"0.018854"="50E^-6m³"/("0.0051m²"*"52E^-2m")`

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Critical Packing Parameter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Critical Packing Parameter = Surfactant Tail Volume/(Optimal Area*Tail Length)
CPP = v/(a_o*l)
This formula uses 4 Variables

Variables Used

Critical Packing Parameter - Critical Packing Parameter is defined as a measure of the ratio between the portion hydrophilic head and the portion hydrophobic tail of the surfactant.
Surfactant Tail Volume - (Measured in Cubic Meter) - Surfactant tail Volume is defined as the volume occupied by the tail of the surfactant.
Optimal Area - (Measured in Square Meter) - Optimal Area is defined as equilibrium area per molecule (head group) at the aggregate interface.
Tail Length - (Measured in Meter) - Tail length is defined as the measurement of the extent of something along its greatest dimension.

STEP 1: Convert Input(s) to Base Unit

Surfactant Tail Volume: 5E-05 Cubic Meter --> 5E-05 Cubic Meter No Conversion Required
Optimal Area: 0.0051 Square Meter --> 0.0051 Square Meter No Conversion Required
Tail Length: 0.52 Meter --> 0.52 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

CPP = v/(a_o*l) --> 5E-05/(0.0051*0.52)

Evaluating ... ...

CPP = 0.0188536953242836

STEP 3: Convert Result to Output's Unit

0.0188536953242836 --> No Conversion Required

FINAL ANSWER

0.0188536953242836 ≈ 0.018854 <-- Critical Packing Parameter

(Calculation completed in 00.004 seconds)

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Created by Pratibha

Amity Institute Of Applied Sciences (AIAS, Amity University), Noida, India

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< 5 Critical Packing Parameter Calculators

Number of Moles of Surfactant given Critical Micelle Concentration

Go Number of Moles of Surfactant = (Total Concentration of Surfactant-Critical Micelle Concentration)/Degree of Aggregation of Micelle

Optimal Head Group Area given Critical Packing Parameter

Go Optimal Area = Surfactant Tail Volume/(Critical Packing Parameter*Tail Length)

Length given Critical Packing Parameter

Go Tail Length = Surfactant Tail Volume/(Critical Packing Parameter*Optimal Area)

Critical Packing Parameter

Go Critical Packing Parameter = Surfactant Tail Volume/(Optimal Area*Tail Length)

Volume of Surfactant Tail given Critical Packing Parameter

Go Surfactant Tail Volume = Critical Packing Parameter*Optimal Area*Tail Length

< 16 Important Formulas of Colloids Calculators

Surface Enthalpy given Critical Temperature

Go Surface Enthalpy = (Constant for each Liquid)*(1-(Temperature/Critical Temperature))^(Empirical Factor-1)*(1+((Empirical Factor-1)*(Temperature/Critical Temperature)))

Surface Entropy given Critical Temperature

Go Surface Entropy = Empirical Factor*Constant for each Liquid*(1-(Temperature/Critical Temperature))^(Empirical Factor)-(1/Critical Temperature)

Ionic Mobility given Zeta Potential using Smoluchowski Equation

Go Ionic Mobility = (Zeta Potential*Relative Permittivity of Solvent)/(4*pi*Dynamic Viscosity of Liquid)

Number of Moles of Surfactant given Critical Micelle Concentration

Go Number of Moles of Surfactant = (Total Concentration of Surfactant-Critical Micelle Concentration)/Degree of Aggregation of Micelle

Zeta Potential using Smoluchowski Equation

Go Zeta Potential = (4*pi*Dynamic Viscosity of Liquid*Ionic Mobility)/Relative Permittivity of Solvent

Micellar Core Radius given Micellar Aggregation Number

Go Micelle Core Radius = ((Micellar Aggregation Number*3*Volume of Hydrophobic Tail)/(4*pi))^(1/3)

Volume of Hydrophobic Tail given Micellar Aggregation Number

Go Volume of Hydrophobic Tail = ((4/3)*pi*(Micelle Core Radius^3))/Micellar Aggregation Number

Micellar Aggregation Number

Go Micellar Aggregation Number = ((4/3)*pi*(Micelle Core Radius^3))/Volume of Hydrophobic Tail

Critical Packing Parameter

Go Critical Packing Parameter = Surfactant Tail Volume/(Optimal Area*Tail Length)

Specific Surface Area for array of n Cylindrical Particles

Go Specific Surface Area = (2/Density)*((1/Cylinder Radius)+(1/Length))

Electrophoretic Mobility of Particle

Go Electrophoretic Mobility = Drift Velocity of Dispersed Particle/Electric Field Intensity

Surface Viscosity

Go Surface Viscosity = Dynamic Viscosity/Thickness of Surface Phase

Critical Chain Length of Hydrocarbon Tail using Tanford Equation

Go Critical Chain Length of Hydrocarbon Tail = (0.154+(0.1265*Number of Carbon Atoms))

Specific Surface Area

Go Specific Surface Area = 3/(Density*Radius of Sphere)

Number of Carbon Atoms given Critical Chain Length of Hydrocarbon

Go Number of Carbon Atoms = (Critical Chain Length of Hydrocarbon Tail-0.154)/0.1265

Volume of Hydrocarbon Chain using Tanford Equation

Go Micelle Core Volume = (27.4+(26.9*Number of Carbon Atoms))*(10^(-3))

Critical Packing Parameter Formula

Critical Packing Parameter = Surfactant Tail Volume/(Optimal Area*Tail Length)
CPP = v/(a_o*l)

What is the Critical Packing Parameter?

The Critical packing parameter (CPP) is a theoretical framework for determining the type of aggregation formed by surfactants (i.e. as spherical or cylindrical micelles, or vesicles, or flexible or fixed bilayers.)

What is the use of Critical Packing Parameter?

The concept of the critical packing parameter is a simplification, for instance, the parameter a0 is not a geometrical area but an equilibrium parameter derived from thermodynamic considerations, meaning that predicting the aggregate structure becomes very complicated for solutions having many different parameters that could vary simultaneously, e.g. salt concentration, temperature, pH etc.

How to Calculate Critical Packing Parameter?

Critical Packing Parameter calculator uses Critical Packing Parameter = Surfactant Tail Volume/(Optimal Area*Tail Length) to calculate the Critical Packing Parameter, The critical packing parameter (CPP) is a measure of the ratio between the portion hydrophilic head and the portion hydrophobic tail of the surfactant. Critical Packing Parameter is denoted by CPP symbol.

How to calculate Critical Packing Parameter using this online calculator? To use this online calculator for Critical Packing Parameter, enter Surfactant Tail Volume (v), Optimal Area (a_o) & Tail Length (l) and hit the calculate button. Here is how the Critical Packing Parameter calculation can be explained with given input values -> 0.018854 = 5E-05/(0.0051*0.52).

FAQ

What is Critical Packing Parameter?

The critical packing parameter (CPP) is a measure of the ratio between the portion hydrophilic head and the portion hydrophobic tail of the surfactant and is represented as CPP = v/(a_o*l) or Critical Packing Parameter = Surfactant Tail Volume/(Optimal Area*Tail Length). Surfactant tail Volume is defined as the volume occupied by the tail of the surfactant, Optimal Area is defined as equilibrium area per molecule (head group) at the aggregate interface & Tail length is defined as the measurement of the extent of something along its greatest dimension.

How to calculate Critical Packing Parameter?

The critical packing parameter (CPP) is a measure of the ratio between the portion hydrophilic head and the portion hydrophobic tail of the surfactant is calculated using Critical Packing Parameter = Surfactant Tail Volume/(Optimal Area*Tail Length). To calculate Critical Packing Parameter, you need Surfactant Tail Volume (v), Optimal Area (a_o) & Tail Length (l). With our tool, you need to enter the respective value for Surfactant Tail Volume, Optimal Area & Tail Length and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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