How to Calculate and Solve for Number of Stable Nuclei | Phase Transformation
Last Updated on June 4, 2024
The image above represents number of stable nuclei. To calculate 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)
That is, n* = (14)exp(-(11)/(1.38064852e-23)(10))
n* = (14)exp((-11)/(1.3806485199999997e-22))
n* = (14)exp(-7.967270337565713e+22)
So, n* = (14)(0)
n* = 0
Therefore, the number of stable nuclei is 0.
Read more: How to Calculate and Solve for Nucleation Rate | Phase Transformation
How to Calculate the Number of Stable Nuclei | Nickzom Calculator
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:
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 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.
