INO-09

Crystal-field 10Dq

Δo = 10 Dq. Spectroscopic octahedral splitting.

Reading speed

Crystal field10Dq

Governing equation

\Delta_o=10\,Dq

where

Dq: Dq (cm^{-1})
\Delta_o: Octahedral splitting (cm^{-1})
\Delta_o: Splitting in kJ/mol (kJ/mol)

Lecture brief

Historical brief

Pauling and Allred–Rochow electronegativity, Kapustinskii lattice energy, CFSE and Goldschmidt radii organise the periodic solid. The sheets predict bond character and crystal packing. This sheet (INO-09 — Crystal-field 10Dq) is the form associated with 10Dq. Working symbols: $Dq$ $\rightarrow$ $\Delta_o$ , $\Delta_o$ . Dq is the radial crystal-field integral. Optical d–d bands sit near 10Dq for many d¹/d⁹ ions.

Purpose

Purpose: compute

\Delta_o

\Delta_o

from

Dq

in Inorganic chemistry via

\Delta_o=10\,Dq

Δo = 10 Dq. Spectroscopic octahedral splitting. Use it when a real inorganic chemistry question must be answered in SI before a code check.

Live realistic example

In symbols

Live case. Given

Dq = 1800.000\,\mathrm{cm^-1}

, the governing relation

\Delta_o=10\,Dq

yields

\Delta_o = 18000\,\mathrm{cm^-1}

\Delta_o = 215.3\,\mathrm{kJ/mol}

. Enter Dq in cm⁻¹, read Δo. Move a slider: the numbers are this situation, not a canned story.

Calculator

Inputs

Dq Dq1800 cm^{-1}

Outputs

Octahedral splitting \Delta_o18000 cm^{-1}
Splitting in kJ/mol \Delta_o215.3 kJ/mol

Reading speed

Watch on YouTube

Free library

Full library

Free PDF / open book

YouTube channels

00:0 / 00:08

Narration of this film

Enter Dq in cm⁻¹, read Δo.

Dq is the radial crystal-field integral. Optical d–d bands sit near 10Dq for many d¹/d⁹ ions.

Reading speed

Watch on YouTube