# How to Calculate and Solve for Particle Grain Growth | Phase Transformation

The image above represents particle grain growth. Four essential parameters are needed to calculate particle grain growth: Temperature Constant (C), Activation Energy (Q), Boltzmann’s Constant (K),Â andÂ Temperature (Kelvin) (T).

### The formula for calculating particle grain growth:

G’ = C exp (-Q/KT)

Where:

G’ = Particle Grain Growth
Q = Activation Energy
C = Temperature Constant
K = Boltzmann’s Constant
T = Temperature

Let’s solve an example;
Find the particle grain growth when the activation energy is 4, the temperature constant is 8, the boltzmann’s constant is 1.380E-23 and the temperature is 10.

This implies that;

Q = Activation Energy = 4
C = Temperature Constant = 8
K = Boltzmann’s Constant = 1.380E-23
T = Temperature = 10

G’ = C exp (-Q/KT)
That is, G’ = (8)exp(-(4)/(1.38064852e-23)(10))
G’ = (8)exp(-4/1.3806485199999997e-22)
G’ = (8)exp(-2.8971892136602593e+22)
Then, G’ = (8)(0)
G’ = 0

Therefore, theÂ particle grain growthÂ isÂ 0.

### How to Calculate Particle Grain Growth Using Nickzom Calculator

Nickzom Calculator â€“Â The Calculator Encyclopedia is capable of calculating the particle grain growth.

To get the answer and workings of the particle grain growth 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:

To get access to theÂ professionalÂ version via web, you need toÂ registerÂ andÂ subscribeÂ to have utter access to all functionalities.
You can also try theÂ demoÂ version viaÂ https://www.nickzom.org/calculator

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Android (Paid)Â â€“Â https://play.google.com/store/apps/details?id=org.nickzom.nickzomcalculator
Android (Free)Â â€“Â https://play.google.com/store/apps/details?id=com.nickzom.nickzomcalculator

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 Particle Grain GrowthÂ underÂ Phase Transformation

The screenshot below displays the page or activity to enter your values, to get the answer for the particle grain growth according to the respective parameter which is the Temperature Constant (C), Activation Energy (Q), Boltzmann’s Constant (K)Â andÂ Temperature (Kelvin) (T).

Now, enter the values appropriately and accordingly for the parameters as required by the Temperature Constant (C) is 8, Activation Energy (Q) is 8, Boltzmann’s Constant (K) is 1.380E-23 and Temperature (Kelvin) (T) is 10.

Finally, Click on Calculate

As you can see fromÂ the screenshot above,Â Nickzom Calculatorâ€“ The Calculator Encyclopedia solves for the particle grain growth and presents the formula, workings and steps too.