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Transparency, also known technically as diaphaneity, is a function of the way light interacts with the surface of a substance. There are only three possible interactions. If the light enters and exits the surface of the substance in relatively undisturbed fashion, then the substance is referred to as transparent. If the light can enter and exit the surface of the substance, but in a disturbed and distorted fashion, then the substance is referred to as translucent. If the light can not even penetrate the surface of the substance, then the substance is referred to as opaque. Many substances that are transparent can easily contain flaws and distortions that will limit a light beam's travels through a substance and make it translucent.
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Transparency, simply by a lack of differing possiblities, is not a very important property. However, It can come into play if all other properties are inconclusive and/or can provide some assurance of an identification if needed. Certainly if an unknown mineral is translucent, a collector would feel rather foolish to have identified it as a mineral that is always opaque!
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