The majority of black diamonds you see on the market are irradiated. Some of the ones I've examined looked black to the eye, but when examined under a high intensity fiber optic light were actually a very, very dense green of low color saturation. This highly concentrated low saturation green ends up looking black under ordinary lighting conditions.
Natural blacks can range from semi-transparent to opaque. Sometimes a heavily included natural diamond can have a black "appearance", although not be a true "fancy" black. Fancy blacks are, however, often heavily included.
A new development on the market are synthetic black diamonds. They are opaque, with a "hematite-like" look. They are purported by their marketers to have a better grain "texture" than natural blacks, and "allegedly" take a better polish. These stones sell for less than natural blacks.
Black diamonds can range quite a bit in price. The majority of them are fairly homely, but sometimes the finer ones can catch your eye. They are kind of cool from a mineral specimen point-of-view, and many regard them as a good man's ring stone.