This technique is based on the reflection of waves at the interface of interest. Waves propagates into a medium (according to the laws of propagation into the medium studied) and when it encounters a discontinuity (impedance break), part of its energy is reflected back to injection point.
if you dont have in formation about method i will sent to you
alternative method is observing a sample by naked eye (if the sample is big) or optical microscopy (if the sample is small) into various standard refractive index solutions. One of commercial products: http://www.cargille.com/refractivestandards.shtml
If the reflective index of sample and refractive index of medium were the same, the sample is observed as transparent.
It has to be noticed that a lot of crystal has a anisotropicity, i.e., each crystal face of the same crystal can have different reflective index.
first of all, two question for you: what about the size of the crystal ? and, secondly, can you cut thin sections (near 30 micron thick) of your crystal?" In these cases a mineralogist or a petrologist can help you to determine the birefringence (for a anisotropic crystal) by means of the Michel-Levy Table and then measure the "mean" refraction index through the Becke line. Tell me, please, some characteristics of your crystal.