3 Madelung constant of NaClConsider the infinite series for the Madelung constant of the NaCl-type struc-ture. Its convergence depends on how the successive terms are chosen. Theexpression, as given below, is written such that the terms are sequential attrac-tive and repulsive interactions coming from sequential shells that purely containcations or anions.UcZ₁ Z2e²4πend(6-12 8+√2 √36 24 24+√4 √5(1)a, Calculate the sum of this series for two, three, four, five, and six terms. Foreach successive shell, determine the total number of cations and anions sur-rounding the central anion.b, What can you say about the convergence of this series after 6 terms?c, Which of these successive sums is closest to the Madelung constant for therocksalt structure of +1.7476? For which series is the total charge enclosedclosest to zero?d, What can be done to achieve a more rapid convergence of this series?+

Required:Sum of the series Convergence of the series

Answered: Consider the infinite series for the…

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