An allotrope is when two physical forms of the same
element or
compound exist at the same temperature, even though they have identical
molecules. The
canonical example of an allotrope is
carbon.
Graphite is one allotrope of
carbon, and
diamond is another (recently scientists have been playing around with other allotropes of carbon, such as
buckminsterfullerenes, also known as
buckyballs). They are both made of
carbon, but in different atomic
configurations; for example, graphite has a
planar structure (and hence, it makes a good non-liquid
lubricant), while diamond has a
tetrahedral structure (which makes it very hard and strong).