Enter the constant A, rho, and the interionic distance R into the calculator to determine the Born Mayer potential of an ionic crystal.

Born Mayer Potential Formula

The following formula is used to calculate the Born Mayer potential:

V = A * e^{(-R / ρ)}

Variables:

  • V is the Born Mayer potential (eV)
  • A is a constant related to the strength of the ionic bond (eV)
  • R is the interionic distance (Å)
  • ρ (rho) is a constant related to the compressibility of the ionic crystal (Å)

To calculate the Born Mayer potential, multiply the constant A by the exponential of the negative interionic distance R divided by rho.

What is Born Mayer Potential?

Born Mayer potential is a model used to describe the potential energy between ions in an ionic crystal. It is based on the assumption that the potential energy is a function of the distance between ions and includes a term that represents the repulsive force that arises when ions are very close to each other. This potential is important in the study of crystal structures, lattice energy, and other properties of ionic solids.

How to Calculate Born Mayer Potential?

The following steps outline how to calculate the Born Mayer Potential:

  1. First, determine the constant A related to the strength of the ionic bond.
  2. Next, determine the constant rho (ρ) related to the compressibility of the ionic crystal.
  3. Next, determine the interionic distance R.
  4. Next, gather the formula from above = V = A * e^(-R / ρ).
  5. Finally, calculate the Born Mayer potential (V) in electron volts (eV).
  6. After inserting the variables and calculating the result, check your answer with the calculator above.

Example Problem:

Use the following variables as an example problem to test your knowledge.

Constant A (eV) = 1000

Rho (ρ) (Å) = 0.345

Interionic Distance R (Å) = 2.5