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A d1 octahedral complex is found to absorb visible light, with the absorption maximum occurring at 503 nm. calculate the crystal-field splitting energy, δ , in kj/mol

Respuesta :

237.9 KJ/mol⁻¹ crystal-field splitting energy is found to absorb visible light.

What is crystal-field splitting energy?

The energy of the electron configuration in the ligand field less the energy of the electronic configuration in the isotropic field is known as the crystal field energy.

The core metal ion's d orbitals split into two groups with various energies in an octahedral complex. The energy of the electron transition, which is related to the wavelength of the emitted light, is equal to the energy of the crystal-field splitting.

Δ = E = ℎ c / λ

Where,

where ℎ is the Planck constant, 6.62*10⁻³⁴m²kg s⁻¹, and c is the speed of light, 3 x 10⁸m s⁻¹.

Δ = 6.62*10⁻³⁴m²kg s⁻¹ / 503 x 10⁻⁹

= 3.95 x 10⁻¹⁹

= 3.95 x 10⁻¹⁹

This value is the splitting energy per ion.

To convert it to J/mol, we should multiply it by Avogadro number,  6.022 x 10²³mol⁻¹

= 3.95 x 10⁻¹⁹ x 6.022 x 10²³mol⁻¹

= 237.9 KJ/mol⁻¹

Therefore, the crystal-field splitting energy is 237.9 KJ/mol⁻¹ .

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