Estimate the crystal field stabilization energy for the octahedral ion hexacyanomanganate(III) , if the wavelength of maximum absorption for the ion is 600 nm. [Note: This is a high-field (low-spin) complex.]

Respuesta :

Answer:

The crystal field stabilization energy for the octahedral ion hexacyanomanganate(III) , if the wavelength of maximum absorption for the ion is 600 nm is - 1987.59kJ/mole

Explanation:

Lets calculate -:

 Crystal field stabilization energy -

                    [tex]E=\frac{hc}{\pi }[/tex]

   where h = planks constant = [tex]6.626\times10^-^3^4 Js[/tex]

             c= velocity of light = [tex]3\times10^8m/second[/tex]

           [tex]\pi =wavelength=600nm=600\times10^-^9m[/tex]

           [tex]E=\frac{6.626\times10^-^3^4\times3\times10^8}{600\times10^-^9}[/tex]

                =[tex]0.033\times10^-^1^6 J/ion[/tex]

              = [tex]0.033\times10^-^1^6\times6.023\times10^2^3[/tex]

             = [tex]0.198759\times10^7 J/mole[/tex]  = [tex]1987.59\times10^3J/mole[/tex]

             = [tex]1987.59kJ/mole[/tex]

 Thus , the crystal field stabilization energy for the octahedral ion hexacyanomanganate(III) is  1987.59kJ/mole