Optimal Head Group Area given 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%
✖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]			+10% -10%
✖Tail length is defined as the measurement of the extent of something along its greatest dimension.ⓘ Tail Length [l]			+10% -10%

✖Optimal Area is defined as equilibrium area per molecule (head group) at the aggregate interface.ⓘ Optimal Head Group Area given Critical Packing Parameter [a_o]

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Formula

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Optimal Head Group Area given Critical Packing Parameter

Formula

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

Example

`"0.096154cm²"="50cm³"/("10"*"52cm")`

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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)
a_o = v/(CPP*l)
This formula uses 4 Variables

Variables Used

Optimal Area - (Measured in Square Meter) - Optimal Area is defined as equilibrium area per molecule (head group) at the aggregate interface.
Surfactant Tail Volume - (Measured in Cubic Meter) - Surfactant tail Volume is defined as the volume occupied by the tail of the surfactant.
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 - (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: 50 Cubic Centimeter --> 5E-05 Cubic Meter (Check conversion here)
Critical Packing Parameter: 10 --> No Conversion Required
Tail Length: 52 Centimeter --> 0.52 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

a_o = v/(CPP*l) --> 5E-05/(10*0.52)

Evaluating ... ...

a_o = 9.61538461538462E-06

STEP 3: Convert Result to Output's Unit

9.61538461538462E-06 Square Meter -->0.0961538461538462 Square Centimeter (Check conversion here)

FINAL ANSWER

0.0961538461538462 ≈ 0.096154 Square Centimeter <-- Optimal Area

(Calculation completed in 00.004 seconds)

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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

Optimal Head Group Area given Critical Packing Parameter Formula

Optimal Area = Surfactant Tail Volume/(Critical Packing Parameter*Tail Length)
a_o = 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 a_o 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 -> 961.5385 = 5E-05/(10*0.52).

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 a_o = 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.

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