Brillouin Zones PDF

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Brillouin Zones | Solid State Physics...

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Brillouin Zones Solid State Physics M UMER YASIN

Table of Contents

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Introduc ductio tionn Intro duc tio

Draw

Appllica icatio tionn App tio

What is Brilliouin Zones and how we draw it ?

Brilliouin Zones for SC , BCC , FCC

Why we need Brilliouin Zones ?

Before we start Brillouin Zones    

Reciprocal Lattice Wigner-Seitz Cell Ewald’s Sphere Bragg’s Plane

  ∗   ∗   ∗ 2     0

Brilliouin Zones A Brillouin zone is defined as a Wigner-Seitz primitive cell in the reciprocal lattice. The first Brillouin zone is the smallest volume entirely enclosed by planes that are the perpendicular bisectors of the reciprocal lattice vectors drawn from the origin.

Brillouin zoness can be cconstr onstruc ucted thee Bril louin zone onstr uc ted in th sam samee mann manner er

Bril louin zone Brillouin zoness for Single Cubi Cubicc

   ∗   ∗ 2 ^   󰇛   ^ 󰇨 

 vector of k resolve in 2 direction x and y    ^   ^

 need to talk about Award Differaction 2     0       󰇛    󰇢 

Bril louin zone Brillouin zoness for BCC

Bril louin zone Brillouin zoness for FCC

 

 󰇛    󰇜 ^  󰇛    󰇜 ^  󰇛    󰇜 ^ 2

Aapplication  To find the condition for Bragg's reflection lattice  To find the band gap of bulk material  To Visualize the forbidden energy gap of bulk material  It can be used to categories material as conductor, semiconductor, insulator according to the position of fermi energy in the material

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