Micellar Core Radius given Micellar Aggregation Number Calculator

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

✖Micelle Core Radius is defined as the distance from the center to the circumference of a micelle.ⓘ Micellar Core Radius given Micellar Aggregation Number [R_mic]

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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)
R_mic = ((N_mic*3*V_hydrophobic)/(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

R_mic = ((N_mic*3*V_hydrophobic)/(4*pi))^(1/3) --> ((6.7E+37*3*9E-29)/(4*pi))^(1/3)

Evaluating ... ...

R_mic = 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 00.008 seconds)

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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 Core Radius given Micellar Aggregation Number Formula

LaTeX Go

Micelle Core Radius = ((Micellar Aggregation Number*3*Volume of Hydrophobic Tail)/(4*pi))^(1/3)
R_mic = ((N_mic*3*V_hydrophobic)/(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 R_mic 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 (N_mic) & Volume of Hydrophobic Tail (V_hydrophobic) 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 R_mic = ((N_mic*3*V_hydrophobic)/(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 (N_mic) & Volume of Hydrophobic Tail (V_hydrophobic). 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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