Brus equation emission energy Δ"E" = "hc"/λ, where c is the speed of light). This is useful for calculating the radius of a quantum dot from experimentally determined parameters. The overall equation is "E", "m"*, and "m"* are unique for each nanocrystal composition. For example, with CdSe nanocrystals: Brus equation The Brus equation can be used to describe the emission energy of quantum dot semiconductor nanocrystals (such as CdSe nanocrystals) in terms of the band gap energy "E", Planck's constant "h", the radius of the quantum dot "r", as well as the effective mass of the excited electron "m"* and of the
Comparametric equation Comparametric equation A comparametric equation is an equation that describes a parametric relationship between a function and a dilated version of the same function, where the equation does not involve the parameter. For example, "ƒ"(2"t") = 4"ƒ"("t") is a comparametric equation, when we define "g"("t") = "ƒ"(2"t"), so that we have "g" = 4"ƒ" no longer contains the parameter, "t". The comparametric equation "g" = 4"ƒ" has a family of solutions, one of which is "ƒ" = "t". To see that "ƒ" = "t" is a solution, we merely substitute back in: "g" = "ƒ"(2"t") = (2"t") = 4"t" =