INO-25

Kapustinskii U

Born–Landé shortcut.

Reading speed

InorganicKapustinskii

Governing equation

U=1202\\nu |z^+z^-|/(r^++r^-)(1-0.345/(r^++r^-))

where

\nu: ν (—)
|z^+z^-|: z (—)
r^+: r+ (Å)
r^-: r- (Å)
U: U (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-25 — Kapustinskii U) is the form associated with Kapustinskii. Working symbols: $\nu$ , $|z^+z^-|$ , $r^+$ , $r^-$ $\rightarrow$ $U$ . Born–Landé shortcut.

Purpose

Purpose: compute

U

from

\nu

|z^+z^-|

r^+

r^-

in Inorganic chemistry via

U=1202\\nu |z^+z^-|/(r^++r^-)(1-0.345/(r^++r^-))

Born–Landé shortcut. 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

\nu = 2.000\,\mathrm{—}

|z^+z^-| = 1.000\,\mathrm{—}

r^+ = 1.020\,\mathrm{Å}

r^- = 1.810\,\mathrm{Å}

, the governing relation

U=1202\\nu |z^+z^-|/(r^++r^-)(1-0.345/(r^++r^-))

yields

U = 746\,\mathrm{kJ/mol}

. Born–Landé shortcut. Move a slider: the numbers are this situation, not a canned story.

Calculator

Inputs

ν \nu2 —z |z^+z^-|1 —r+ r^+1.02 År- r^-1.81 Å

Outputs

U U746 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

Born–Landé shortcut.

Reading speed

Watch on YouTube