Interplanar separation. Consider a plane hkl in a crystal lattice. (a) Prove that the reciprocal lattice vector G= hb₁ + kb₂ + lb, is perpendicular to this plane. (b) Prove that the distance between two adjacent parallel planes of the lattice is d (hkl) = 2π/|G|. (c) Show for a cubic lattice that d² = a² /(h² +k² +1²).

Interplanar separation. Consider a plane hkl in a crystal lattice. (a) Prove that the reciprocal lattice vector G= hb₁ + kb₂ + lb, is perpendicular to this plane. (b) Prove that the distance between two adjacent parallel planes of the lattice is d (hkl) = 2π/|G|. (c) Show for a cubic lattice that d² = a² /(h² +k² +1²).

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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