Two figures in, a clear answer out. The lattice energy calculator uses k, madelung constant, na, auto-calculate interatomic distance?, born exponent (n), compressibility factor (ρ), custom interatomic distance, d, four pi epsilon, qe, atomic radius, atomic radius, stoichiometry, charge and charge to produce kapustinskii’s born approximation, born-landé repulsive contribution and born-mayer repulsive contribution, applying the standard relationship for this problem in the order the calculation actually needs it.
What Is the Lattice Energy Calculator?
The lattice energy calculator turns k, madelung constant, na, auto-calculate interatomic distance?, born exponent (n), compressibility factor (ρ), custom interatomic distance, d, four pi epsilon, qe, atomic radius, atomic radius, stoichiometry, charge and charge into kapustinskii's born approximation, born-landé repulsive contribution and born-mayer repulsive contribution.
It is a quick way to get from the numbers you have to the number you need, without setting up a spreadsheet or reaching for a formula.
How the Lattice Energy Works
Each result follows from the ones before it, and the calculator shows every step, so a surprising answer can be traced back to the input that caused it.
Round your inputs to the precision you actually know, and keep more precision than that in the intermediate steps.
Getting a Result You Can Trust
Run the calculation twice with slightly different inputs. A sensible calculator moves its output in proportion; a wild change points to a unit or a decimal point problem in what you entered.
Write the inputs down next to the answer. It takes a moment and it is the difference between a number you can explain and one you cannot.
A Worked Example
Working through an example, with k set to 10, madelung constant set to 5, na set to 2, the calculator returns kapustinskii's born approximation of 0.71429, and born-landé repulsive contribution of 0.99, and closest interatomic distance of 5. Substitute your own figures and the same steps produce the same kind of answer.
Frequently Asked Questions
What do I need to work out kapustinskii's born approximation?
Enter k, madelung constant, na, auto-calculate interatomic distance?, born exponent (n), compressibility factor (ρ), custom interatomic distance, d, four pi epsilon, qe, atomic radius, atomic radius, stoichiometry, charge and charge. The calculator then works through the relationship and reports kapustinskii's born approximation, born-landé repulsive contribution and born-mayer repulsive contribution.
What does the lattice energy actually calculate?
It takes k, madelung constant, na, auto-calculate interatomic distance?, born exponent (n), compressibility factor (ρ), custom interatomic distance, d, four pi epsilon, qe, atomic radius, atomic radius, stoichiometry, charge and charge and converts them into kapustinskii's born approximation, born-landé repulsive contribution and born-mayer repulsive contribution using the standard relationship for this problem. Each step is applied in turn, so every output is traceable back to the numbers you typed in.
How should I enter k?
Use the value you actually have, in the unit shown next to the field. Enter every value in the same unit system. The calculator assumes the figures you supply are consistent, so it cannot correct a mistake that happens before the calculation starts.
Do I have to fill in every field?
Only the fields a particular result depends on. If you leave one blank, the results that need it simply show a note instead of a number, and everything else still works.
Is the answer exact?
It is as exact as the formula and the inputs allow. The method itself is the standard one for this problem, so the only sources of error are the figures you enter and the precision you ask for.