Primitive lattice vectors, reciprocal lattice, wigner seitz cell

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SUMMARY

This discussion focuses on the development of sketches for primitive lattice vectors and their corresponding reciprocal lattices using vector forms. The user provides specific vectors, a = i + 4j and b = 3i, and seeks guidance on sketching these lattices. Additionally, the conversation addresses the necessity of converting non-Bravais lattices to Bravais lattices for constructing reciprocal lattices, emphasizing the fundamental principles of crystallography.

PREREQUISITES
  • Understanding of primitive lattice vectors
  • Knowledge of reciprocal lattice concepts
  • Familiarity with Bravais lattices
  • Basic skills in sketching geometric representations in crystallography
NEXT STEPS
  • Study the process of constructing reciprocal lattices from given lattice vectors
  • Learn about the properties and classifications of Bravais lattices
  • Explore the Wigner-Seitz cell construction techniques
  • Investigate the mathematical relationships between direct and reciprocal lattices
USEFUL FOR

Students and professionals in materials science, crystallography researchers, and anyone involved in solid-state physics or the study of crystal structures.

solas99
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How can i develop a sketch of the lattice and reciprocal lattice from vector form

a=i+4j
b=3i

i know how to draw the wigner site cell, but I am having problems developing a sketch from vectors.
what is the method for working it out..please help
 
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I have one question.
Why for construct reciprocal lattice we must exchange non-bravies lattice to a bravies lattice?
 

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