Question

For a \(2/m\) pyroxene, the extinction angle between the vibration direction and crystallographic axis, X ⊥ c, is 36°. Then the angle Y ⊥ b in degrees will be ............. (In integer)

Hint:

In a pyroxene with symmetry \(2/m\), the extinction angles between different axes can be calculated using relationships based on crystal symmetry.

Answer 1

Step 1: Recall the symmetry of \(2/m\) pyroxene.
The symmetry of \(2/m\) pyroxene implies that the vibration direction makes an angle of 36° with the X axis and with the crystallographic axis.
Step 2: Apply the equation for the extinction angle.
For a \(2/m\) pyroxene, the extinction angle can be used with the relation between crystallographic axes and vibration directions.
Given the angle X ⊥ c = 36°, the extinction angle between the vibration direction and crystallographic axis Y ⊥ b will be: \[ \boxed{54} \] Final Answer: \[ \boxed{54} \]