Question

Determine the crystal field splitting energy for a coordination compound with a tetrahedral geometry, given the following information: the metal ion has six d electrons, the ligand field splitting parameter (Δtetrahedral) is 4000 cm⁻¹, and the compound's absorption spectrum shows a strong absorption band at 600 nm.

Answer 1

To determine the crystal field splitting energy  E  for the coordination compound with tetrahedral geometry, we can use the following equation:E = h * c / where h is Planck's constant  6.626 x 10 J s , c is the speed of light  2.998 x 10 cm/s , and  is the wavelength of the absorption band  600 nm .First, we need to convert the wavelength from nm to cm:600 nm = 600 x 10 cmNow, we can plug the values into the equation:E =  6.626 x 10 J s  *  2.998 x 10 cm/s  /  600 x 10 cm E = 3.325 x 10 JTo convert the energy from J to cm, we can use the following conversion factor:1 J = 1 /  6.626 x 10 J s  *  2.998 x 10 cm/s  cmE =  3.325 x 10 J  *  1 /  6.626 x 10 J s  *  2.998 x 10 cm/s  cm E  20000 cmThe crystal field splitting energy for the coordination compound with tetrahedral geometry is approximately 20000 cm.