How to Calculate and Solve for Critical Radius for Heterogeneous Nucleation | Phase Transformation

The image of critical radius for heterogenous nucleation. To calculate critical radius for heterogeneous nucleation, two essential parameters are needed and these parameters are Solid – Liquid Interface (Î³SL)Â andÂ Volume Free Energy (Î”Gv).

The formula for calculating critical radius for heterogeneous nucleation:

r* =Â 2Î³SL/Î”Gv

Where:

r* = Critical Radius for Heterogeneous Nucleation
Î³SLÂ = Solid – Liquid Interface
Î”GvÂ = 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;

Î³SL = Solid – Liquid Interface = 24
Î”Gv = Volume Free Energy = 3

r* =Â 2Î³SL/Î”Gv
So, r* = 2(24)/3
r* =Â 48/3
r* = 16

Therefore, theÂ critical radius for heterogenous nucleationÂ isÂ 16 mm.

Calculating the Solid-Liquid Interface when the Critical Radius for Heterogenous Nucleation and the Volume Free Energy are Given

Î³SL = r*Î”Gv / 2

Where:

Î³SLÂ = Solid – Liquid Interface
r* = Critical Radius for Heterogeneous Nucleation
Î”GvÂ = 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;

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r* = Critical Radius for Heterogeneous Nucleation = 15
Î”Gv = Volume Free Energy = 4

Î³SL = r*Î”Gv / 2
Then, Î³SL = (15)(4) / 2
Î³SL = 60 / 2
Î³SL = 30

Therefore, theÂ solid-liquid interface isÂ 30.

Calculating the Volume Free Energy when the Critical Radius for Heterogenous Nucleation and the Solid – Liquid Interface are Given

Î”Gv = 2Î³SL / r*

Where:

Î”GvÂ = Volume Free Energy
r* = Critical Radius for Heterogeneous Nucleation
Î³SL = 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
Î³SL = Solid – Liquid Interface = 30

Î”Gv = 2Î³SL / r*
So, Î”Gv = 2(30) / 10
Î”Gv = 60 / 10
Î”Gv = 6

Therefore, theÂ volume free energyÂ isÂ 6.

How to CalculateÂ  Critical Radius for Heterogeneous Nucleation Using Nickzom Calculator

Nickzom Calculator â€“Â 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 â€“ The Calculator Encyclopedia.Â First, you need to obtain the app.

You can get this app via any of these means:

You can also try theÂ demoÂ version viaÂ https://www.nickzom.org/calculator

Apple (Paid)Â â€“Â https://itunes.apple.com/us/app/nickzom-calculator/id1331162702?mt=8
Once, you have obtained the calculator encyclopedia app, proceed to theÂ Calculator Map,Â then click onÂ Materials and MetallurgicalÂ underÂ Engineering.

Now, Click onÂ Phase TransformationÂ underÂ Materials and Metallurgical

Now, Click on Critical Radius of Heterogenous NucleationÂ underÂ 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 (Î³SL)Â andÂ Volume Free Energy (Î”Gv).

Now, enter the values appropriately and accordingly for the parameters as required by the Solid – Liquid Interface (Î³SL) is 24 and Volume Free Energy (Î”Gv) is 3.

Finally, Click on Calculate

As you can see fromÂ the screenshot above,Â Nickzom Calculatorâ€“ The Calculator Encyclopedia can calculate the critical radius of heterogenous nucleation and presents the formula, workings and steps too.