INGENIA

INO-27

Radius ratio

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InorganicGoldschmidt

Governing equation

rho=r+/r\\rho=r_+/r_-

where

r^+
r+ (Å)
r^-
r- (Å)
\rho
ρ ()

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-27 — Radius ratio) is the form associated with Goldschmidt. Working symbols: r+r^+, rr^- \rightarrow ρ\rho. CN prediction.

Purpose

Purpose: compute ρ\rho from r+r^+, rr^- in Inorganic chemistry via rho=r+/r\\rho=r_+/r_- CN prediction. 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 r+=1.020A˚r^+ = 1.020\,\mathrm{Å}, r=1.810A˚r^- = 1.810\,\mathrm{Å}, the governing relation rho=r+/r\\rho=r_+/r_- yields ρ=0.564\rho = 0.564\,\mathrm{—}. CN prediction. Move a slider: the numbers are this situation, not a canned story.

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Inputs

Outputs

  • ρ \rho0.564
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