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A Lattice Energy Spreadsheet is a
tool that easily calculates lattice energies.
It also illustrates the relation between crystal
structure, coordination number, and ionic radii. A
Lattice Energy Spreadsheet contains five
related worksheets: Lattice Energy, MX Structure
Map, Kapustinsky Lattice Energy, Directions,
and Discussion, each described below.
In the Lattice Energy worksheet, the lattice
energy of many binary compounds can be calculated
in about a dozen mouse clicks. An element
is selected, and the radius corresponding
to the desired charge and coordination number
is selected. The same is done for the counter
ion, and the anticipated crystal structure
of the compound is chosen (rock salt, wurtzite,
etc.). The lattice energy is then calculated.
This sheet uses enthalpies of formation of
monatomic gaseous atoms from the elements, ΔH°form to
calculate lattice energies. The results are
more accurate than the values obtained by
simply summing enthalpies of fusion and vaporization.
The results of the corresponding Born–Haber
cycle are also graphed on this sheet.
Born–Haber
cycle plot for TiO from A Lattice Energy
Spreadsheet
A structure map is a plot of average principal
quantum number versus difference in electronegativity.
Compounds in the same region of such a plot
tend to have the same type of crystal structure.
In MX Structure Map, students or instructors
select two elements making up a 1:1 compound.
The spreadsheet locates the chosen compound
on the structure map, allowing the compound’s
structure to be predicted.
An MX
structure map from A Lattice Energy Spreadsheet
The Kapustinsky Lattice Energy worksheet
has thermochemical radii of hundreds of anions
and cations. Just select a compound’s
anion and cation from a drop-down list, and
the compound’s lattice energy, including
estimated uncertainty, is calculated with
the Kapustinsky equation!
In the Directions worksheet, users find
complete instructions and suggestions for
using this spreadsheet, along with references
to excellent Web sites on crystal structures.
Discussion discusses the sources of much
of the data used in the calculations and
provides more details about how the calculations
are made.
Try this spreadsheet for yourself first;
then use it in a presentation in your next
inorganic chemistry course!
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