Origin 8.1G on Windows 7
Hi and Thanks to everyone who will take their time to help me with this.
The BRUS equation is a formula with which you can quantisize the quantum size effect in nano particles. I have a set of data and want to use this equation to fit the graph.
E(bandgap, bulk)-(h*c/lambda)=(h²/8R²)*((1/(me*m))+(1/(mh*m)))-((1.8e²)/(4pi*Eps*Eps0*R))
, wherein E(bandgap, bulk) is the bandgap energy of the material, h is Planck's constant, c is the speed of light, lambda is the wavelength of the absorption spectrum, R is the particle size, me is the effective mass of the elctron and mh is the effective mass of the hole (both of which are multiples of the electron mass m), e is the charge of an electron, pi is the number pi, Eps is the permittivity of the material and Eps0 is the permittivity of vacuum.
R is the value I want to know, so it is the y-axis. lambda is the value I am measuring in my spectra so it is the x-axis. So R is the dependant variable and lambda is the variable. Constants are h, c, m, e, Eps0 and of course pi.
I have tried to form the explicit function, sipmlify it and fit it, but that did not work. I have tried to use the implicit form but I cannot get it to work. Now I hope that someone here can give me some useful information or code that I can use.
Thanks.
Patrick |
Fitting the BRUS equation to a graph
Posted - 07/26/2016 : 08:54:50 AM
