How to Calculate and Solve for Critical Radius for Heterogeneous Nucleation | Phase Transformation
Last Updated on December 12, 2022
The image of critical radius for heterogenous nucleation.
To compute for critical radius for heterogenous nucleation, two essential parameters are needed and these parameters are Solid – Liquid Interface (γSL) and Volume Free Energy (ΔGv).
The formula for calculating critical radius for heterogenous nucleation:
r* = 2γSL/ΔGv
Where:
r* = Critical Radius for Heterogeneous Nucleation
γSL = Solid – Liquid Interface
ΔGv = Volume Free Energy
Let’s solve an example;
Find the critical radius for heterogenous nucleation when the solid – liquid interface is 24 and the volume free energy is 3.
This implies that;
γSL = Solid – Liquid Interface = 24
ΔGv = Volume Free Energy = 3
r* = 2γSL/ΔGv
r* = 2(24)/3
r* = 48/3
r* = 16
Therefore, the critical radius for heterogenous nucleation is 16 mm.
Calculating the Solid – Liquid Interface when the Critical Radius for Heterogenous Nucleation and the Volume Free Energy is Given.
γSL = r*ΔGv / 2
Where:
γSL = Solid – Liquid Interface
r* = Critical Radius for Heterogeneous Nucleation
ΔGv = Volume Free Energy
Let’s solve an example;
Find the solid – liquid interface when the critical radius for heterogenous nucleation is 15 and the volume free energy is 4.
This implies that;
r* = Critical Radius for Heterogeneous Nucleation = 15
ΔGv = Volume Free Energy = 4
γSL = r*ΔGv / 2
γSL = (15)(4) / 2
γSL = 60 / 2
γSL = 30
Therefore, the solid – liquid interface is 30.
Calculating the Volume Free Energy when the Critical Radius for Heterogenous Nucleation and the Solid – Liquid Interface is Given.
ΔGv = 2γSL / r*
Where:
ΔGv = Volume Free Energy
r* = Critical Radius for Heterogeneous Nucleation
γSL = Solid – Liquid Interface
Given an example;
Find the volume free energy when the critical radius for heterogenous nucleation is 10 and the solid – liquid interface is 30.
This implies that;
r* = Critical Radius for Heterogeneous Nucleation = 10
γSL = Solid – Liquid Interface = 30
ΔGv = 2γSL / r*
ΔGv = 2(30) / 10
ΔGv = 60 / 10
ΔGv = 6
Therefore, the volume free energy is 6.
Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the critical radius of heterogenous nucleation.
To get the answer and workings of the critical radius of 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 Critical Radius of Heterogenous Nucleation under Phase Transformation
The screenshot below displays the page or activity to enter your values, to get the answer for the critical radius of heterogenous nucleation according to the respective parameter which is the Solid – Liquid Interface (γSL) and Volume Free Energy (ΔGv).
Now, enter the values appropriately and accordingly for the parameters as required by the Solid – Liquid Interface (γSL) is 24 and Volume Free Energy (ΔGv) is 3.
Finally, Click on Calculate
As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the critical radius of heterogenous nucleation and presents the formula, workings and steps too.