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Amity Institute Of Applied Sciences (AIAS, Amity University), Noida, India
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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
Nmic = ((4/3)*pi*(Rmic^3))/ν
This formula uses 1 Constants, 2 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Micelle Core Radius - Micelle Core Radius is defined as the distance from the center to the circumference of a micelle. (Measured in Angstrom)
Volume of Hydrophobic Tail - The volume of Hydrophobic Tail is defined as the amount of space the hydrophobic tail occupies. (Measured in Cubic Angstrom)
STEP 1: Convert Input(s) to Base Unit
Micelle Core Radius: 10 Angstrom --> 1E-09 Meter (Check conversion here)
Volume of Hydrophobic Tail: 100 Cubic Angstrom --> 1E-28 Cubic Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Nmic = ((4/3)*pi*(Rmic^3))/ν --> ((4/3)*pi*(1E-09^3))/1E-28
Evaluating ... ...
Nmic = 41.8879020478639
STEP 3: Convert Result to Output's Unit
41.8879020478639 --> No Conversion Required
FINAL ANSWER
41.8879020478639 <-- Micellar Aggregation Number
(Calculation completed in 00.000 seconds)

3 Micellar Aggregation Number Calculators

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

Micellar Aggregation Number Formula

micellar_aggregation_number = ((4/3)*pi*(Micelle Core Radius^3))/Volume of Hydrophobic Tail
Nmic = ((4/3)*pi*(Rmic^3))/ν

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 Nmic symbol.

How to calculate Micellar Aggregation Number using this online calculator? To use this online calculator for Micellar Aggregation Number, enter Micelle Core Radius (Rmic) & Volume of Hydrophobic Tail (ν) and hit the calculate button. Here is how the Micellar Aggregation Number calculation can be explained with given input values -> 41.8879 = ((4/3)*pi*(1E-09^3))/1E-28.

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 Nmic = ((4/3)*pi*(Rmic^3))/ν 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 (Rmic) & Volume of Hydrophobic Tail (ν). 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.
How many ways are there to calculate Micellar Aggregation Number?
In this formula, Micellar Aggregation Number uses Micelle Core Radius & Volume of Hydrophobic Tail. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • micelle_core_radius = ((Micellar Aggregation Number*3*Volume of Hydrophobic Tail)/(4*pi))^(1/3)
  • volume_of_hydrophobic_tail = ((4/3)*pi*(Micelle Core Radius^3))/Micellar Aggregation Number
  • micellar_aggregation_number = ((4/3)*pi*(Micelle Core Radius^3))/Volume of Hydrophobic Tail
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