**Total Energy**

The total intensive potential energy of an ion in the lattice can therefore be expressed as the sum of the Madelung and repulsive potentials:

Minimizing this energy with respect to yields the equilibrium separation in terms of the unknown constant :

Evaluating the minimum intensive potential energy and substituting the expression for in terms of yields the Born–Landé equation:

Read more about this topic: Born–Landé Equation, Derivation

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### Famous quotes containing the words energy and/or total:

“Reckoned physiologically, everything ugly weakens and afflicts man. It recalls decay, danger, impotence; he actually suffers a loss of *energy* in its presence. The effect of the ugly can be measured with a dynamometer. Whenever man feels in any way depressed, he senses the proximity of something “ugly.” His feeling of power, his will to power, his courage, his pride—they decline with the ugly, they increase with the beautiful.”

—Friedrich Nietzsche (1844–1900)

“You need an infinite stretch of time ahead of you to start to think, infinite energy to make the smallest decision. The world is getting denser. The immense number of useless projects is bewildering. Too many things have to be put in to balance up an uncertain scale. You can’t disappear anymore. You die in a state of *total* indecision.”

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