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  2. Lattice energy - Wikipedia

    en.wikipedia.org/wiki/Lattice_energy

    In chemistry, the lattice energy is the energy change upon formation of one mole of a crystalline ionic compound from its constituent ions, which are assumed to initially be in the gaseous state. It is a measure of the cohesive forces that bind ionic solids.

  3. Born–Landé equation - Wikipedia

    en.wikipedia.org/wiki/Born–Landé_equation

    ε 0 = permittivity of free space 4 π ε 0 = 1.112 × 10 −10 C 2 /(J·m) r = distance separating the ion centers. For a simple lattice consisting ions with equal and opposite charge in a 1:1 ratio, interactions between one ion and all other lattice ions need to be summed to calculate E M, sometimes called the Madelung or lattice energy:

  4. Kapustinskii equation - Wikipedia

    en.wikipedia.org/wiki/Kapustinskii_equation

    The calculated lattice energy gives a good estimation for the Born–Landé equation; the real value differs in most cases by less than 5%. Furthermore, one is able to determine the ionic radii (or more properly, the thermochemical radius) using the Kapustinskii equation when the lattice energy is known.

  5. Born–Mayer equation - Wikipedia

    en.wikipedia.org/wiki/Born–Mayer_equation

    The Born–Mayer equation is an equation that is used to calculate the lattice energy of a crystalline ionic compound. It is a refinement of the Born–Landé equation by using an improved repulsion term.

  6. Anatoli Kapustinskii - Wikipedia

    en.wikipedia.org/wiki/Anatoli_Kapustinskii

    Download as PDF; Printable version; ... He derived the Kapustinskii equation that allows an estimation of the lattice energy of an ionic crystal. Biography

  7. Particle in a one-dimensional lattice - Wikipedia

    en.wikipedia.org/wiki/Particle_in_a_one...

    In some cases, the Schrödinger equation can be solved analytically on a one-dimensional lattice of finite length [6] [7] using the theory of periodic differential equations. [8] The length of the lattice is assumed to be L = N a {\displaystyle L=Na} , where a {\displaystyle a} is the potential period and the number of periods N {\displaystyle ...

  8. Born–Haber cycle - Wikipedia

    en.wikipedia.org/wiki/Born–Haber_cycle

    Born–Haber cycles are used primarily as a means of calculating lattice energy (or more precisely enthalpy [note 1]), which cannot otherwise be measured directly. The lattice enthalpy is the enthalpy change involved in the formation of an ionic compound from gaseous ions (an exothermic process ), or sometimes defined as the energy to break the ...

  9. Madelung constant - Wikipedia

    en.wikipedia.org/wiki/Madelung_constant

    Download as PDF; Printable version ... for one mole of an ionic solid under standard conditions is the lattice energy. ... converging formula for the Madelung ...