Clicked on the Google Preview button at

http://store.elsevier.com/Nonlinear-Optics/Robert-Boyd/isbn-9780123694706/

In the preview for the book titled "Nonlinear Optics, 3rd Edition" by R. Boyd, the TABLE 1.5.2 caption has:

/Form of the second-order susceptibility tensor for each of the 32 crystal classes./

This table might give the answers that you are looking for.

On 3/30/2016 2:02 AM, sikander Azam wrote:
Dear all
I am calculating the nonlinear susceptibility tensor, please could some one tell me that what are the nonzero independent components for
Triclinic <https://en.wikipedia.org/wiki/Triclinic>
Monoclinic <https://en.wikipedia.org/wiki/Monoclinic>
Orthorhombic <https://en.wikipedia.org/wiki/Orthorhombic>
Tetragonal <https://en.wikipedia.org/wiki/Tetragonal>
Trigonal <https://en.wikipedia.org/wiki/Trigonal>
Hexagonal <https://en.wikipedia.org/wiki/Hexagonal_crystal_system>
Regards
Azam
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