Engineering

How to Calculate and Solve for Activation Energy for Heterogeneous Nucleation | Phase Transformation

Last Updated on December 12, 2022

The image above represents activation energy for heterogenous nucleation.

To compute for activation energy for heterogenous nucleation, three essential parameters are needed and these parameters are Solid – Liquid Interface (γSL), Volume Free Energy (ΔGv) and Function, S(θ).

The formula for calculating activation energy for heterogenous nucleation:

ΔG* = (16πγSL³/3ΔGv²)S(θ)

Where:

ΔG* = Activation Energy for Heterogeneous Nucleation
γSL = Solid Liquid Interface
ΔGv = Volume Free Energy
S(θ) = Function

Let’s solve an example;
Find the activation energy for heterogenous nucleation when the solid – liquid interface is 12, the volume free energy is 6 and the function is 2.

This implies that;

γSL = Solid Liquid Interface = 12
ΔGv = Volume Free Energy = 6
S(θ) = Function = 2

ΔG* = (16πγSL³/3ΔGv²)S(θ)
ΔG* = (16π(12)³/3(6)²)(2)
ΔG* = (16π(1728)/3(36))(2)
ΔG* = ((86858.75)/(108))(2)
ΔG* = (804.24)(2)
ΔG* = 1608.49

Therefore, the activation energy for heterogenous nucleation is 1608.49

Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the activation energy for heterogenous nucleation.

To get the answer and workings of the activation energy for heterogenous nucleation using the Nickzom Calculator – The Calculator Encyclopedia. First, you need to obtain the app.

You can get this app via any of these means:

Web – https://www.nickzom.org/calculator-plus

To get access to the professional version via web, you need to register and subscribe to have utter access to all functionalities.
You can also try the demo version via https://www.nickzom.org/calculator

Android (Paid) – https://play.google.com/store/apps/details?id=org.nickzom.nickzomcalculator
Android (Free) – https://play.google.com/store/apps/details?id=com.nickzom.nickzomcalculator

Apple (Paid) – https://itunes.apple.com/us/app/nickzom-calculator/id1331162702?mt=8
Once, you have obtained the calculator encyclopedia app, proceed to the Calculator Map, then click on Materials and Metallurgical under Engineering.

Now, Click on Phase Transformation under Materials and Metallurgical

Now, Click on Activation Energy for Heterogenous Nucleation under Phase Transformation

The screenshot below displays the page or activity to enter your values, to get the answer for the activation energy for heterogenous nucleation according to the respective parameter which is the Solid – Liquid Interface (γSL), Volume Free Energy (ΔGv) and Function, S(θ).

Now, enter the values appropriately and accordingly for the parameters as required by the Solid – Liquid Interface (γSL) is 12Volume Free Energy (ΔGv) is 6 and Function, S(θ) is 2.

Finally, Click on Calculate


As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the activation energy for heterogenous nucleation and presents the formula, workings and steps too.

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