Micellar Aggregation Number Calculator

✖Micelle Core Radius is defined as the distance from the center to the circumference of a micelle.ⓘ Micelle Core Radius [R_mic]			+10% -10%
✖The volume of Hydrophobic Tail is defined as the amount of space the hydrophobic tail occupies.ⓘ Volume of Hydrophobic Tail [V_hydrophobic]			+10% -10%

✖Micellar Aggregation Number is defined as the number of surfactant molecules required to form the micelles.ⓘ Micellar Aggregation Number [N_mic]

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Micellar Aggregation Number Solution

STEP 0: Pre-Calculation Summary

Formula Used

Micellar Aggregation Number = ((4/3)*pi*(Micelle Core Radius^3))/Volume of Hydrophobic Tail
N_mic = ((4/3)*pi*(R_mic^3))/V_hydrophobic
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Micellar Aggregation Number - Micellar Aggregation Number is defined as the number of surfactant molecules required to form the micelles.
Micelle Core Radius - (Measured in Angstrom) - Micelle Core Radius is defined as the distance from the center to the circumference of a micelle.
Volume of Hydrophobic Tail - (Measured in Cubic Meter) - The volume of Hydrophobic Tail is defined as the amount of space the hydrophobic tail occupies.

STEP 1: Convert Input(s) to Base Unit

Micelle Core Radius: 1.13E-07 Meter --> 1130 Angstrom (Check conversion here)
Volume of Hydrophobic Tail: 9E-29 Cubic Meter --> 9E-29 Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

N_mic = ((4/3)*pi*(R_mic^3))/V_hydrophobic --> ((4/3)*pi*(1130^3))/9E-29

Evaluating ... ...

N_mic = 6.7155475779063E+37

STEP 3: Convert Result to Output's Unit

6.7155475779063E+37 --> No Conversion Required

FINAL ANSWER

6.7155475779063E+37 ≈ 6.7E+37 <-- Micellar Aggregation Number

(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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University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA

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< Micellar Aggregation Number Calculators

Micellar Core Radius given Micellar Aggregation Number

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

Volume of Hydrophobic Tail given Micellar Aggregation Number

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

Micellar Aggregation Number

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

Mass of aggregate enclosed within distance r

LaTeX Go Mass of Aggregate = (4/3)*(Density*pi*(Radius of Curvature)^3)

< Important Formulas of Colloids Calculators

Number of Moles of Surfactant given Critical Micelle Concentration

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

Micellar Core Radius given Micellar Aggregation Number

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

Micellar Aggregation Number

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

Critical Packing Parameter

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

Micellar Aggregation Number Formula

LaTeX Go

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

What is Micellar Aggregation Number?

Micellar Aggregation Number is a description of the number of molecules present in a micelle once the critical micelle concentration has been reached.
Traditionally, it is being determined by the small-angle neutron scattering experiments.

What is the range of Micellar Aggregation Number ?

Micellar Aggregation Number ranges from less than 100 for the ionic surfactants to several hundred for non-ionic surfactants.
The Micellar Aggregation Number increases with the increasing length of the hydrocarbon chains of the surfactant molecules.

How to Calculate Micellar Aggregation Number?

Micellar Aggregation Number calculator uses Micellar Aggregation Number = ((4/3)*pi*(Micelle Core Radius^3))/Volume of Hydrophobic Tail to calculate the Micellar Aggregation Number, The Micellar Aggregation Number is defined as the number of surfactant molecules required to form micelles. Micellar Aggregation Number is denoted by N_mic symbol.

How to calculate Micellar Aggregation Number using this online calculator? To use this online calculator for Micellar Aggregation Number, enter Micelle Core Radius (R_mic) & Volume of Hydrophobic Tail (V_hydrophobic) and hit the calculate button. Here is how the Micellar Aggregation Number calculation can be explained with given input values -> 6.7E+37 = ((4/3)*pi*(1.13E-07^3))/9E-29.

FAQ

What is Micellar Aggregation Number?

The Micellar Aggregation Number is defined as the number of surfactant molecules required to form micelles and is represented as N_mic = ((4/3)*pi*(R_mic^3))/V_hydrophobic or Micellar Aggregation Number = ((4/3)*pi*(Micelle Core Radius^3))/Volume of Hydrophobic Tail. Micelle Core Radius is defined as the distance from the center to the circumference of a micelle & The volume of Hydrophobic Tail is defined as the amount of space the hydrophobic tail occupies.

How to calculate Micellar Aggregation Number?

The Micellar Aggregation Number is defined as the number of surfactant molecules required to form micelles is calculated using Micellar Aggregation Number = ((4/3)*pi*(Micelle Core Radius^3))/Volume of Hydrophobic Tail. To calculate Micellar Aggregation Number, you need Micelle Core Radius (R_mic) & Volume of Hydrophobic Tail (V_hydrophobic). With our tool, you need to enter the respective value for Micelle Core Radius & Volume of Hydrophobic Tail 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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