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# How to Calculate and Solve for Number of Stable Nuclei | Phase Transformation

Last Updated on December 12, 2022

The image above represents number of stable nuclei.

To compute for number of stable nuclei, four essential parameters are needed and these parameters are Constant Related to Total Number of Nuclei of the Solid Phase (k1), Activation Free Energy (ΔG*), Boltzmann’s Constant (K) and Temperature (Kelvin) (T).

The formula for calculating number of stable nuclei:

n* = k1exp(-ΔG*/KT)

Where:

n* = Number of Stable Nuclei
k1 = Constant Related to Total Number of Nuclei of the Solid Phase
K = Boltzmann’s Constant
T = Temperature
ΔG* = Activation Free Energy

Let’s solve an example;
Find the number of stable nuclei when the constant related to total number of nuclei of the solid phase is 14, the activation free energy is 11, the boltzmann’s constant is 1.380E-23 and the temperature is 10.

This implies that;

k1 = Constant Related to Total Number of Nuclei of the Solid Phase = 14
K = Boltzmann’s Constant = 1.380E-23
T = Temperature = 10
ΔG* = Activation Free Energy = 11

n* = k1exp(-ΔG*/KT)
n* = (14)exp(-(11)/(1.38064852e-23)(10))
n* = (14)exp((-11)/(1.3806485199999997e-22))
n* = (14)exp(-7.967270337565713e+22)
n* = (14)(0)
n* = 0

Therefore, the number of stable nuclei is 0.

Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the number of stable nuclei.

To get the answer and workings of the number of stable nuclei using the Nickzom Calculator – The Calculator Encyclopedia. First, you need to obtain the app.

You can get this app via any of these means:

You can also try the demo version via https://www.nickzom.org/calculator

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 Number of Stable Nuclei under Phase Transformation

The screenshot below displays the page or activity to enter your values, to get the answer for the number of stable nuclei according to the respective parameter which is the Constant Related to Total Number of Nuclei of the Solid Phase (k1), Activation Free Energy (ΔG*), Boltzmann’s Constant (K) and Temperature (Kelvin) (T).

Now, enter the values appropriately and accordingly for the parameters as required by the Constant Related to Total Number of Nuclei of the Solid Phase (k1) is 14, Activation Free Energy (ΔG*) is 11, Boltzmann’s Constant (K) is 1.380E-23 and Temperature (Kelvin) (T) is 10.

Finally, Click on Calculate

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