Infinity to Mesoscopic Systems through Sngle Molecular Magnets

Since mesoscopic evolve stochastic system, the infinites abuse can be prevent by took $\infty $ as integral boundary from $e $through transformation [n!/s$^{\mathrm{n-1}}$]$e^{-st\thinspace }$0\textbar $\infty \quad =$ [n!/n$^{\mathrm{n+1\thinspace }}$] That agai express not any $\infty $ to be in coincidences with ``present value'' y $=$ [(a)/(1$+$ (r/n)$^{\mathrm{nx\thinspace }})$] whereas if n $\to \infty $ y $=$ [ a (e$^{\mathrm{rx\thinspace }})$] to final-Project in UI/2007 retrieves \textbf{``Mesoscopic {\&} Nanostructured Materials'' }further emerge the proton-neutron {\&} electron Atom-combined from single Mn$_{\mathrm{12\thinspace }}$molecular magnets of electrons transport [to X Zotos {\&} P Prelovsek ], proton toward other protons [A Goswami\textbraceright {\&} ``Molecular Magnets'' -- Neutrons {\&} New Materials depicted in ``dissipativity'' of lifetime as well as ``depreciation'' of [SSC] to ``depression''. V Chandrasekhar decribes in ``Single-Molecule Magnets'' gave (r-2R)/(2a$_{\mathrm{o}}) \quad =$ 1 between 1/R[1- $e^{-2R/a}_{o}$( 1 $+$ (R/a$_{\mathrm{o}})$]-Goswami , h 432 and $\smallint $ [ 1 -- (\textit{r/2a}$_{o})$] $e^{-r/ao\thinspace }r^{4}$\textit{dr}-Agus Purwanto,PhD --h 299.