Glass Transition Temperature Calculator

Formula

The formula to calculate the Glass Transition Temperature (Tg) is:

\[ Tg = (WfA \cdot TgA) + (WfB \cdot TgB) \]

Where:

\(Tg\) is the glass transition temperature of the blend
\(WfA\) is the weight fraction of polymer A
\(TgA\) is the glass transition temperature of polymer A
\(WfB\) is the weight fraction of polymer B
\(TgB\) is the glass transition temperature of polymer B

Glass Transition Temperature Definition

The glass transition temperature (Tg) is the temperature at which an amorphous polymer (or a region of a semi-crystalline polymer) transitions from a hard and relatively brittle state into a viscous or rubbery state. This temperature is a crucial property for polymers as it affects their mechanical and thermal properties. Below the Tg, the polymer chains are in a frozen state, limiting their movement, while above the Tg, the chains have increased mobility, allowing the material to become more flexible and elastic.

Example Calculation

Let's assume the following values:

Weight Fraction of Polymer A (WfA) = 0.6
Glass Transition Temperature of Polymer A (TgA) = 150 °C
Weight Fraction of Polymer B (WfB) = 0.4
Glass Transition Temperature of Polymer B (TgB) = 100 °C

Using the formula to calculate the Glass Transition Temperature (Tg):

\[ Tg = (0.6 \cdot 150) + (0.4 \cdot 100) = 130 \]

The Glass Transition Temperature (Tg) of the blend is 130 °C.