How to Calculate and Solve for Free Energy for Formation of Stable Nucleus | Phase Transformation

The image above represents free energy for formation of stable nucleus. To calculate free energy for formation of stable nucleus, two essential parameters are needed and these parameters are Volume Free Energy (ΔGv) and Surface Free Energy (γ).

The formula for calculating free energy for formation of stable nucleus:

ΔG* = 16πγ³/3(ΔGv)²

Where:

ΔG* = Free Energy for Formation of Stable Nucleus
γ = Surface Free Energy
ΔGv = Volume Free Energy

Let’s solve an example;
Find the free energy for formation of stable nucleus when the surface free energy is 12 and the volume free energy is 6.

This implies that;

γ = Surface Free Energy = 12
ΔGv = Volume Free Energy = 6

ΔG* = 16πγ³/3(ΔGv)²
That is, ΔG* = 16π(6)³/3(12)²
ΔG* = 16π(216)/3(144)
So, ΔG* = (10857.34)/(432)
ΔG* = 25.13

Therefore, the free energy for formation of stable nucleus is 25.13 J.

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

How to Calculate Free Energy for Formation of Stable Nucleus Using Nickzom Calculator

Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the free energy for formation of stable nucleus.

To get the answer and workings of the free energy for formation of stable nucleus 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

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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 Free Energy for Formation of Stable Nucleus under Phase Transformation

The screenshot below displays the page or activity to enter your values, to get the answer for the free energy for formation of stable nucleus according to the respective parameter which is the Volume Free Energy (ΔGv) and Surface Free Energy (γ).

Now, enter the values appropriately and accordingly for the parameters as required by the Volume Free Energy (ΔGv) is 12 and Surface Free Energy (γ) is 6.

How to Calculate and Solve for Free Energy for Formation of Stable Nucleus | Phase Transformation

Finally, Click on Calculate

How to Calculate and Solve for Free Energy for Formation of Stable Nucleus | Phase Transformation
How to Calculate and Solve for Free Energy for Formation of Stable Nucleus | Phase Transformation

As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the free energy for formation of stable nucleus and presents the formula, workings and steps too.

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