(B) Calculate the Madelung Constant for a negative ion in a 2-dimensional Hexagonal lattice (shown below) with alternating positive and negative ions for the first 3 nearest neighbors (expand and repeat atom positions as shown in blue and red hexagonal lattice figure)

(B) Calculate the Madelung Constant for a negative ion in a 2-dimensional Hexagonal lattice (shown below) with alternating positive and negative ions for the first 3 nearest neighbors (expand and repeat atom positions as shown in blue and red hexagonal lattice figure)

Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

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Concept explainers

Crystal Lattices and Unit Cell

Consider a crystal. The regular and repeating pattern of constituent particles is the most distinguishing feature of crystalline solids. A crystal lattice is formed when these particles are replaced with representative points. The three-dimensional arrangement of constituent particles is known as a crystal lattice. Unit cell is that the smallest portion of a space lattice which when repeated in several directions, generate the whole lattice. Unit cell is a building block of a lattice. It is the smallest unit of cell.

Question

(B) Calculate the Madelung Constant for a negative ion in a 2-dimensional Hexagonal lattice
(shown below) with alternating positive and negative ions for the first 3 nearest neighbors
(expand and repeat atom positions as shown in blue and red hexagonal lattice figure)
b
a
4
Jal = |b|, 0 = 120°

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