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Micellar Core Radius given Micellar Aggregation Number Calculator

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✖Micellar Aggregation Number is defined as the number of surfactant molecules required to form the micelles.ⓘ Micellar Aggregation Number [Nmic]
+10%
-10%
✖The volume of Hydrophobic Tail is defined as the amount of space the hydrophobic tail occupies.ⓘ Volume of Hydrophobic Tail [Vhydrophobic]
+10%
-10%
✖Micelle Core Radius is defined as the distance from the center to the circumference of a micelle.ⓘ Micellar Core Radius given Micellar Aggregation Number [Rmic]
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Micellar Core Radius given Micellar Aggregation Number

Formula
`"R"_{"mic"} = (("N"_{"mic"}*3*"V"_{"hydrophobic"})/(4*pi))^(1/3)`

Example
`"1.1E^-7m"= (("6.7E^37"*3*"90E^-30m³")/(4*pi))^(1/3)`

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Micellar Core Radius given Micellar Aggregation Number Solution

STEP 0: Pre-Calculation Summary
Formula Used
Micelle Core Radius = ((Micellar Aggregation Number*3*Volume of Hydrophobic Tail)/(4*pi))^(1/3)
Rmic = ((Nmic*3*Vhydrophobic)/(4*pi))^(1/3)
This formula uses 1 Constants, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Micelle Core Radius - (Measured in Angstrom) - Micelle Core Radius is defined as the distance from the center to the circumference of a micelle.
Micellar Aggregation Number - Micellar Aggregation Number is defined as the number of surfactant molecules required to form the micelles.
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
Micellar Aggregation Number: 6.7E+37 --> No Conversion Required
Volume of Hydrophobic Tail: 9E-29 Cubic Meter --> 9E-29 Cubic Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Rmic = ((Nmic*3*Vhydrophobic)/(4*pi))^(1/3) --> ((6.7E+37*3*9E-29)/(4*pi))^(1/3)
Evaluating ... ...
Rmic = 1129.12728195426
STEP 3: Convert Result to Output's Unit
1.12912728195426E-07 Meter --> No Conversion Required
FINAL ANSWER
1.12912728195426E-07 ≈ 1.1E-7 Meter <-- Micelle Core Radius
(Calculation completed in 00.005 seconds)
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Home » Chemistry » Surface Chemistry » Colloidal Structures in Surfactant Solutions » Micellar Aggregation Number » Micellar Core Radius given Micellar Aggregation Number

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Created by Pratibha
Amity Institute Of Applied Sciences (AIAS, Amity University), Noida, India
Pratibha has created this Calculator and 100+ more calculators!
Verified by Prerana Bakli
University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA
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4 Micellar Aggregation Number Calculators

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
Mass of aggregate enclosed within distance r
Go Mass of Aggregate = (4/3)*(Density*pi* (Radius of Curvature)^3)

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))

Micellar Core Radius given Micellar Aggregation Number Formula

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

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.

How to Calculate Micellar Core Radius given Micellar Aggregation Number?

Micellar Core Radius given Micellar Aggregation Number calculator uses Micelle Core Radius = ((Micellar Aggregation Number*3*Volume of Hydrophobic Tail)/(4*pi))^(1/3) to calculate the Micelle Core Radius, The Micellar Core Radius given Micellar Aggregation Number formula is defined as the distance from the center to the circumference of a micelle. Micelle Core Radius is denoted by Rmic symbol.

How to calculate Micellar Core Radius given Micellar Aggregation Number using this online calculator? To use this online calculator for Micellar Core Radius given Micellar Aggregation Number, enter Micellar Aggregation Number (Nmic) & Volume of Hydrophobic Tail (Vhydrophobic) and hit the calculate button. Here is how the Micellar Core Radius given Micellar Aggregation Number calculation can be explained with given input values -> 1.1E-7 = ((6.7E+37*3*9E-29)/(4*pi))^(1/3).

FAQ

What is Micellar Core Radius given Micellar Aggregation Number?
The Micellar Core Radius given Micellar Aggregation Number formula is defined as the distance from the center to the circumference of a micelle and is represented as Rmic = ((Nmic*3*Vhydrophobic)/(4*pi))^(1/3) or Micelle Core Radius = ((Micellar Aggregation Number*3*Volume of Hydrophobic Tail)/(4*pi))^(1/3). Micellar Aggregation Number is defined as the number of surfactant molecules required to form the micelles & The volume of Hydrophobic Tail is defined as the amount of space the hydrophobic tail occupies.
How to calculate Micellar Core Radius given Micellar Aggregation Number?
The Micellar Core Radius given Micellar Aggregation Number formula is defined as the distance from the center to the circumference of a micelle is calculated using Micelle Core Radius = ((Micellar Aggregation Number*3*Volume of Hydrophobic Tail)/(4*pi))^(1/3). To calculate Micellar Core Radius given Micellar Aggregation Number, you need Micellar Aggregation Number (Nmic) & Volume of Hydrophobic Tail (Vhydrophobic). With our tool, you need to enter the respective value for Micellar Aggregation Number & 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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