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
Kepler's equation preferable for most applications. Alternatively, Kepler's equation can be solved numerically. The solution for "e" ≠ 1 was found by Karl Stumpff in 1968, but its significance wasn't recognized. One can also write a Maclaurin series in "e". This series does not converge when "e" is larger than the Laplace limit (about 0.66), regardless of the value of "M" (unless "M" is a multiple of ), but it converges for all "M" if "e" is less than the Laplace limit. The coefficients in the series, other than the first (which is simply "M"), depend on "M" in a periodic way