Raja,

From the space group of a material, you can identify the non centrosymmetric compounds. A lot of discussions were available on the same aspects in RG. For example, go through the following link;

https://www.researchgate.net/post/How_to_find_whether_a_space_group_is_centrosymmetric_or_non-centrosymmetric2

All the best!

In non-Centro symmetry crystal, there will be charge imbalance. They generally exhibit paramagnetism. The center of the positive charge of the compound will not coincide with the center of negative charge of the compound and hence it will have net dipole moment. Considering these factors, one can choose the required compound.

I suggest to see the following article http://www.optoscience.com/maker/castech/pdf/Catalog.pdf