Ok, this chapter really disappointed me, from the gemmological point of view: moissanite and artificial diamonds are two very different things. Moissanite is the name given to gem grade silicon carbide, and can be both natural or artificial; artificial diamonds are exactly that, and are identical in every aspect to natural diamonds. There is no method to distinguish a natural diamond from an artificial one.
All the distinctions she gives are also completely bogus: diamonds CAN be birefringent and they can be of absolutely ANY color. You can look up the Aurora Butterfly of Peace for an example.
That said, there are methods to tell moissanite apart from diamonds by (an extremely trained) eye: if they are bot cut in the exact same shape, then the refraction pattern will be different, since they have different refractive indexes