Rotating an elastic tensor from 100 to 711 axis

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To rotate the elastic tensor for a material with original axes aligned to the cubic crystal system (C11, C22, C33) into a new configuration aligned with the 711 direction, a rotation matrix must be derived. The rotation matrix can be calculated using the direction cosines of the new axis relative to the original axes. This involves determining the angles needed for the transformation and applying them to construct the rotation matrix. Once the rotation matrix is established, it can be used to transform the elastic tensor components accordingly. Properly applying the rotation will yield the elastic properties in the desired orientation.
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Rotating an elastic tensor from 100 to 711 axis
I have the elastic tensor for a material where C11 aligns with the 100 axis , C22 aligns with the 010 axis and C33 aligns with the 001 axis. I want to rotate it so the the new axis are for a configuration with an axis along 711. How do I come up with the rotation matrix to do this?
 

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