Avrami equation Calculator

✖Time independent coefficient in Avrami equation representing phase transformation.ⓘ Time independent coefficient in Avrami equation [k]			+10% -10%
✖Transformation time represents the time in which the phase transformation occurs.ⓘ Transformation time [t]			+10% -10%
✖Time independent constant in Avrami equation representing phase transformation.ⓘ Time independent constant in Avrami equation [n]			+10% -10%

✖Fraction transformed during a solid state transformation.ⓘ Avrami equation [y]

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Formula

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Avrami equation

Formula

`"y" = 1-exp(-"k"*"t"^"n")`

Example

`"0.048771"=1-exp(-"0.0005Hz"*("10s")^"2")`

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Avrami equation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Fraction transformed = 1-exp(-Time independent coefficient in Avrami equation*Transformation time^Time independent constant in Avrami equation)
y = 1-exp(-k*t^n)
This formula uses 1 Functions, 4 Variables

Functions Used

exp - n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable., exp(Number)

Variables Used

Fraction transformed - Fraction transformed during a solid state transformation.
Time independent coefficient in Avrami equation - (Measured in Hertz) - Time independent coefficient in Avrami equation representing phase transformation.
Transformation time - (Measured in Second) - Transformation time represents the time in which the phase transformation occurs.
Time independent constant in Avrami equation - Time independent constant in Avrami equation representing phase transformation.

STEP 1: Convert Input(s) to Base Unit

Time independent coefficient in Avrami equation: 0.0005 Hertz --> 0.0005 Hertz No Conversion Required
Transformation time: 10 Second --> 10 Second No Conversion Required
Time independent constant in Avrami equation: 2 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

y = 1-exp(-k*t^n) --> 1-exp(-0.0005*10^2)

Evaluating ... ...

y = 0.048770575499286

STEP 3: Convert Result to Output's Unit

0.048770575499286 --> No Conversion Required

FINAL ANSWER

0.048770575499286 ≈ 0.048771 <-- Fraction transformed

(Calculation completed in 00.004 seconds)

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< 11 Kinetics of Phase Transformation Calculators

Total free energy change during solidification

Go Total free energy change = ((4/3)*pi*Radius of nucleus^3*Volume free energy)+(4*pi*Radius of nucleus^2*Surface free energy)

Critical free energy for nucleation

Go Critical free energy = 16*pi*Surface free energy^3*Melting temperature^2/(3*Latent Heat of Fusion^2*Undercooling value^2)

Avrami equation

Go Fraction transformed = 1-exp(-Time independent coefficient in Avrami equation*Transformation time^Time independent constant in Avrami equation)

Time taken for X percent reaction to complete

Go Reaction Time = ln(Initial Concentration/(Initial Concentration-Amount reacted in time t))/Rate Constant

Rate constant of first order reaction

Go Rate Constant = ln(Initial Concentration/(Initial Concentration-Amount reacted in time t))/Reaction Time

Critical radius of nucleus

Go Critical radius of nucleus = 2*Surface free energy*Melting temperature/(Latent Heat of Fusion*Undercooling value)

Volume free energy

Go Volume free energy = Latent Heat of Fusion*Undercooling value/Melting temperature

Critical free energy for nucleation( from volume free energy)

Go Critical free energy = 16*pi*Surface free energy^3/(3*Volume free energy^2)

Energy of photon

Go Energy of photon = [hP]*[c]/Wavelength of photon

Critical radius of nucleus (from volume free energy)

Go Critical radius of nucleus = -2*Surface free energy/Volume free energy

Half Life period of first order reaction

Go Half Life Period = ln(2)/Rate Constant

Avrami equation Formula

Fraction transformed = 1-exp(-Time independent coefficient in Avrami equation*Transformation time^Time independent constant in Avrami equation)
y = 1-exp(-k*t^n)

Avrami equation

Avrami equation represents the kinetics of phase transformation which occurs via nucleation and growth. This equation is also known as JMAK (Johnson- Mehl- Avrami- Kolmogorov) equation.

How to Calculate Avrami equation?

Avrami equation calculator uses Fraction transformed = 1-exp(-Time independent coefficient in Avrami equation*Transformation time^Time independent constant in Avrami equation) to calculate the Fraction transformed, Avrami equation is used to model the solid state phase tranformations. Fraction transformed is denoted by y symbol.

How to calculate Avrami equation using this online calculator? To use this online calculator for Avrami equation, enter Time independent coefficient in Avrami equation (k), Transformation time (t) & Time independent constant in Avrami equation (n) and hit the calculate button. Here is how the Avrami equation calculation can be explained with given input values -> 0.048771 = 1-exp(-0.0005*10^2).

FAQ

What is Avrami equation?

Avrami equation is used to model the solid state phase tranformations and is represented as y = 1-exp(-k*t^n) or Fraction transformed = 1-exp(-Time independent coefficient in Avrami equation*Transformation time^Time independent constant in Avrami equation). Time independent coefficient in Avrami equation representing phase transformation, Transformation time represents the time in which the phase transformation occurs & Time independent constant in Avrami equation representing phase transformation.

How to calculate Avrami equation?

Avrami equation is used to model the solid state phase tranformations is calculated using Fraction transformed = 1-exp(-Time independent coefficient in Avrami equation*Transformation time^Time independent constant in Avrami equation). To calculate Avrami equation, you need Time independent coefficient in Avrami equation (k), Transformation time (t) & Time independent constant in Avrami equation (n). With our tool, you need to enter the respective value for Time independent coefficient in Avrami equation, Transformation time & Time independent constant in Avrami equation 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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