Question: Suppose 3 grain boundaries intersect at a node as shown in image below. Derive the relationship between the mutual angles and the individual grain boundary

Suppose 3 grain boundaries intersect at a node as shown in image below. Derive the relationship between the mutual angles and the individual grain boundary tension (i.e. \frac{\gamma_2_3}{sin\theta_1 }+\frac{\gamma_1_3}{sin\theta_2 }+\frac{\gamma_1_2}{sin\theta_3 }

Under what conditions will the angles be equal?

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