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Optimal head group Area given Critical Packing Parameter Solution

STEP 0: Pre-Calculation Summary
Formula Used
optimal_area = Surfactant Tail Volume/(Critical Packing Parameter*Tail Length)
ao = v/(CPP*l)
This formula uses 3 Variables
Variables Used
Surfactant Tail Volume - Surfactant tail Volume is defined as the volume occupied by the tail of the surfactant. (Measured in Cubic Centimeter)
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.
Tail Length - Tail length is defined as the measurement of the extent of something along its greatest dimension. (Measured in Centimeter)
STEP 1: Convert Input(s) to Base Unit
Surfactant Tail Volume: 50 Cubic Centimeter --> 5E-05 Cubic Meter (Check conversion here)
Critical Packing Parameter: 10 --> No Conversion Required
Tail Length: 50 Centimeter --> 0.5 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ao = v/(CPP*l) --> 5E-05/(10*0.5)
Evaluating ... ...
ao = 1E-05
STEP 3: Convert Result to Output's Unit
1E-05 Square Meter -->0.1 Square Centimeter (Check conversion here)
FINAL ANSWER
0.1 Square Centimeter <-- Optimal Area
(Calculation completed in 00.016 seconds)

7 Colloidal Structures in Surfactant Solutions Calculators

Van Der Waals Interaction Energy
vanderwaals_interaction_energy = -(Hamaker coefficient)/(12*pi*(Surface Separation)^2) Go
Optimal head group Area given Critical Packing Parameter
optimal_area = Surfactant Tail Volume/(Critical Packing Parameter*Tail Length) Go
Specific Surface Area for array of n Cylindrical Particles
specific_surface_area = (2/Density)*((1/Cylinder Radius)+(1/Length)) Go
Laplace Pressure
laplace_pressure = Pressure inside of Curved Surface-Pressure outside of Curved Surface Go
Specific Surface Area for Thin Rod
specific_surface_area = (2/Density)*(1/Cylinder Radius) Go
Specific Surface Area
specific_surface_area = 3/(Density*Radius of Sphere) Go
Specific Surface Area for Flat Disk
specific_surface_area = (2/Density)*(1/Length) Go

Optimal head group Area given Critical Packing Parameter Formula

optimal_area = Surfactant Tail Volume/(Critical Packing Parameter*Tail Length)
ao = v/(CPP*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 are factors affecting Optimal Area?

One can change the optimal head group area by (a) decreasing or increasing the electrolyte concentration in the case of ionic surfactants. (b) changing the pH to effect an increase or decrease in the dissociation of the head group. Similarly, in the case of nonionic surfactants (such as polyoxyethylene surfactants), changing the degree of ethoxylation of the head group, or decreasing the temperature (which increases the extent of hydration), will increase the optimal head group area.

How to Calculate Optimal head group Area given Critical Packing Parameter?

Optimal head group Area given Critical Packing Parameter calculator uses optimal_area = Surfactant Tail Volume/(Critical Packing Parameter*Tail Length) to calculate the Optimal Area, The Optimal head group Area given Critical Packing Parameter formula is defined as the ratio of surfactant tail volume and product of critical packing parameter and length of a tail. Optimal Area is denoted by ao symbol.

How to calculate Optimal head group Area given Critical Packing Parameter using this online calculator? To use this online calculator for Optimal head group Area given Critical Packing Parameter, enter Surfactant Tail Volume (v), Critical Packing Parameter (CPP) & Tail Length (l) and hit the calculate button. Here is how the Optimal head group Area given Critical Packing Parameter calculation can be explained with given input values -> 0.1 = 5E-05/(10*0.5).

FAQ

What is Optimal head group Area given Critical Packing Parameter?
The Optimal head group Area given Critical Packing Parameter formula is defined as the ratio of surfactant tail volume and product of critical packing parameter and length of a tail and is represented as ao = v/(CPP*l) or optimal_area = Surfactant Tail Volume/(Critical Packing Parameter*Tail Length). Surfactant tail Volume is defined as the volume occupied by the tail of the surfactant, Critical Packing Parameter is defined as a measure of the ratio between the portion hydrophilic head and the portion hydrophobic tail of the surfactant & Tail length is defined as the measurement of the extent of something along its greatest dimension.
How to calculate Optimal head group Area given Critical Packing Parameter?
The Optimal head group Area given Critical Packing Parameter formula is defined as the ratio of surfactant tail volume and product of critical packing parameter and length of a tail is calculated using optimal_area = Surfactant Tail Volume/(Critical Packing Parameter*Tail Length). To calculate Optimal head group Area given Critical Packing Parameter, you need Surfactant Tail Volume (v), Critical Packing Parameter (CPP) & Tail Length (l). With our tool, you need to enter the respective value for Surfactant Tail Volume, Critical Packing Parameter & Tail Length and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Optimal Area?
In this formula, Optimal Area uses Surfactant Tail Volume, Critical Packing Parameter & Tail Length. We can use 7 other way(s) to calculate the same, which is/are as follows -
  • optimal_area = Surfactant Tail Volume/(Critical Packing Parameter*Tail Length)
  • specific_surface_area = 3/(Density*Radius of Sphere)
  • vanderwaals_interaction_energy = -(Hamaker coefficient)/(12*pi*(Surface Separation)^2)
  • laplace_pressure = Pressure inside of Curved Surface-Pressure outside of Curved Surface
  • specific_surface_area = (2/Density)*((1/Cylinder Radius)+(1/Length))
  • specific_surface_area = (2/Density)*(1/Cylinder Radius)
  • specific_surface_area = (2/Density)*(1/Length)
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