Note that D(E) has dimensions of inverse energy, so one might ask how we are to take the logarithm of a dimensionful quantity in Equation ???. We must introduce an energy scale, such as ...Note that D(E) has dimensions of inverse energy, so one might ask how we are to take the logarithm of a dimensionful quantity in Equation ???. We must introduce an energy scale, such as \RDeltaE in Equation ???, and define ˜D(E;\RDeltaE)=D(E)\RDeltaE and S(E;\RDeltaE)≡\kBln˜D(E;\RDeltaE).