Carat
Weight, Not Size
Diamond carat weight is the measurement of how much a diamond weighs. A metric "carat" is defined as 200 milligrams. Each carat can be subdivided into 100 "points." This allows very precise measurements to the hundredth decimal place.
All else being equal, diamond price increases with diamond carat weight, because larger diamonds are more rare and more desirable. However, two diamonds of equal carat weight can have very different values (and prices) depending on three other factors of the diamond 4Cs: Clarity, Color, and Cut.