How to Calculate and Solve for Total α-phase Mass Fraction | Phase Transformation

Last Updated on December 10, 2022

The image of total a-phase mass fraction is represented below.

To compute for total a-phase mass fraction, three essential parameters are needed and these parameters are Hypo-Eutectic Phase (P), Hypo-Eutectic Phase (Q) and Hypo-Eutectic Phase (Q).

The formula for calculating a-phase mass fraction:

Wα = (Q + R)/(P + Q + R)


Wα = Total α-phase Mass Fraction
P, Q = Hypo-Eutectic Phases
R = Hyper-Eutectic Phase

Given an example;
Find the total a-phase mass fraction when the hypo-eutectic mass fraction is 4, the hypo-eutectic phase is 8 and the hyper-eutectic phase is 10.

This implies that;

P = Hypo-Eutectic Phase = 4
Q = Hypo-Eutectic Phase = 8
R = Hyper-Eutectic Phase = 10

Wα = (Q + R)/(P + Q + R)
Wα = (8 + 10)/(4 + 8 + 10)
Wα = (18)/(22)
Wα = 0.818

Therefore, the Total a-Phase Mass Fraction is 0.818.

Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the total a-phase mass fraction.

To get the answer and workings of the total a-phase mass fraction 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 –

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

Android (Paid) –
Android (Free) –

Apple (Paid) –
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 Total a-Phase Mass Fraction under Phase Transformation

The screenshot below displays the page or activity to enter your values, to get the answer for the total a-phase mass fraction according to the respective parameter which is the Hypo-Eutectic Phase (P), Hypo-Eutectic Phase (Q) and Hypo-Eutectic Phase (Q).

Now, enter the values appropriately and accordingly for the parameters as required by the Hypo-Eutectic Phase (P) is 4, Hypo-Eutectic Phase (Q) is 8 and Hypo-Eutectic Phase (Q) is 10.

Finally, Click on Calculate

As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the total a-phase mass fraction and presents the formula, workings and steps too.

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