The Madelung constant is given by the infinite sum $\alpha$ = 6 - 12/2^1/2 + 8/3^1/2 - ....Which of the following statements is true? A)The numerators in these terms are the number of nearest neighbors in the crystal. B)The denominators in these terms are related to the distances to the nearest neighbors. C)The Madelung constant is the constant of proportionality in the expression for the net attractive potential energy of an ion in a crystal. D)The value of $\alpha$ depends on the geometry of the crystal. E)All of these are correct.

Question

Quizplus · Accepted Answer

The Madelung constant is indeed related to the geometry of the crystal (D), involves a series where the terms can be related to the number of nearest neighbors (A) and their distances (B), and it acts as a constant of proportionality for the net attractive potential energy of an ion in a crystal lattice (C). Therefore, all provided statements are correct.

The Madelung Constant Is Given by the Infinite Sum α\alphaα = 6 - 12/21/2 + 8/31/2 -

The Madelung Constant Is Given by the Infinite Sum $\alpha$ = 6 - 12/2^1/2 + 8/3^1/2 -