This website uses the Flot javascript library to plot [r,rho(r)] data and model the charge density of various nuclei. Data for these models is taken from Atomic and Nuclear Data Tables, Volumes 14, 36 and 60, which are provided on the Downloads page.
This website also provides the source code that generated the distributions, and are provided for anyone to edit as they see fit.
ρ=ρ_{o}(1+α(r/a)^{2})exp(-(r/a)^{2})
With ρ_{o} calculated such that 4π ∫ ρ(r)r^{2}dr = Ze
Same as HO but with α as a free parameter
ρ=ρ_{o}/(1+exp((r - c)/z))
With ρ_{o} calculated such that 4π ∫ ρ(r)r^{2}dr = Ze
ρ=ρ_{o}(1+wr^{2}/c^{2})/(1+exp((r-c/z))
With ρ_{o} calculated such that 4π ∫ ρ(r)r^{2}dr = Ze
ρ=ρ_{o}/(1+exp((r^{2}-c^{2})/a^{2}))
With ρ_{o} calculated such that 4π ∫ ρ(r)r^{2}dr = Ze
ρ=ρ_{o}(1+ wr^{2}/c^{2})/(1+exp((r^{2}-c^{2}/z^{2}))
With ρ_{o} calculated such that 4π ∫ ρ(r)r^{2}dr = Ze
Σ R(n)*sin(x)/x, with x = n * π * r/RR
The Data File is set up as follows:
Atom | Z | A | R(n) | R(n) | .... | RR |
Where R(n) is the list of the Fourier-Bessel coefficients, up to R[17].
ρ= Σ A_{i}{exp(-[(r-R_{i})/γ]^{2})+exp(-[(r+R_{i})/ γ]^{2})}, with A_{i} = ZeQ_{i}/[2 π^{2/3}γ^{3}(1+2R_{i}^{2}/ γ^{2})]
The Data File is set up as follows:
Z | A | Atom | rms | RP | Q_{i} | R_{i} | Q_{i} | R_{i} | ... |
Where Q_{i} and R_{i} are the amplitude and position of the Gaussians.
The values of Q_{i} indicate the fraction of the charge contained in the ith Gaussian normalized such that Σ_{i}Q_{i}=1
RP is the rms radius of the Gaussians. RP
= γ^{
√ 3/2
}