Formula
This calculator uses the equation below. Use it as a quick reference when checking setup before solving.
U = −(N_A M z^+ z^− e^2 / 4π ε_0 r_0)(1 − 1/n)Inorganic Chemistry
Madelung/Born–Landé Lattice Energy Calculator
Compute Madelung/Born–Landé Lattice Energy using U = −(N_A M z^+ z^− e^2 / 4π ε_0 r_0)(1 − 1/n).
U = −(N_A M z^+ z^− e^2 / 4π ε_0 r_0)(1 − 1/n)
Run this calculator
Leave a nullable field blank to solve for it.
Variable glossary
N A (N_A)
Input variable 'N_A' for Madelung/Born–Landé Lattice Energy. Set one variable to null to solve for it.
M (M)
Input variable 'M' for Madelung/Born–Landé Lattice Energy. Set one variable to null to solve for it.
Z Plus (z_plus)
Input variable 'z_plus' for Madelung/Born–Landé Lattice Energy. Set one variable to null to solve for it.
Z Minus (z_minus)
Input variable 'z_minus' for Madelung/Born–Landé Lattice Energy. Set one variable to null to solve for it.
E (e)
Input variable 'e' for Madelung/Born–Landé Lattice Energy. Set one variable to null to solve for it.
Epsilon 0 (epsilon_0)
Input variable 'epsilon_0' for Madelung/Born–Landé Lattice Energy. Set one variable to null to solve for it.
R 0 (r_0)
Input variable 'r_0' for Madelung/Born–Landé Lattice Energy. Set one variable to null to solve for it.
N (n)
Input variable 'n' for Madelung/Born–Landé Lattice Energy. Set one variable to null to solve for it.
U (U)
Result variable 'U' for Madelung/Born–Landé Lattice Energy. Set to null (or omit) to compute this value.
Worked example
Try these sample values to validate the setup, then replace inputs with your own conditions.
- N_A: 2
- M: 3
- z_plus: 4
- z_minus: 5
- e: 6
- epsilon_0: 7
- r_0: 8
- n: 9
Frequently Asked Questions
What does the Madelung/Born–Landé Lattice Energy calculator solve?
It solves Madelung/Born–Landé Lattice Energy problems in inorganic chemistry using your provided inputs and computes unknown values when nullable fields are left blank.
Do I need to convert units before using this tool?
Use the unit toggles where available (for example K/C and L/mL). ChemGenius converts values to the calculator's base units automatically before solving.
Can I save this result in my workflow?
Yes. After computing a result, you can continue into ChemGenius workflows like protocol drafting or notes to keep your calculation context attached to downstream work.