How can I obtain the reciprocal lattice of graphene?

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Discussion Overview

The discussion revolves around the theoretical understanding of the reciprocal lattice of graphene, specifically addressing how to determine its structure given that graphene is not a simple Bravais lattice. Participants explore the implications of the honeycomb structure and its relation to the hexagonal lattice in the context of reciprocal space.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • One participant questions how to theoretically derive the reciprocal lattice of graphene, noting its honeycomb structure and the absence of a straightforward Bravais lattice representation.
  • Another participant asserts that the lattice is hexagonal and that the honeycomb structure can be inferred from systematic absences of peaks in experimental data.
  • Repeated assertions emphasize the hexagonal nature of the lattice and its connection to the honeycomb structure.
  • A later reply clarifies that all lattices are Bravais lattices, suggesting that the honeycomb structure arises from a hexagonal lattice combined with a basis of two atoms.

Areas of Agreement / Disagreement

Participants express differing views on the classification of the honeycomb structure in relation to Bravais lattices, indicating a lack of consensus on how to categorize graphene's reciprocal lattice.

Contextual Notes

The discussion highlights the complexity of defining the reciprocal lattice for structures that are not simple Bravais lattices, with some assumptions about the nature of lattices and bases remaining unresolved.

skyhj105
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I have a question about reciprocal lattice of graphene.
When we see LEED pattern, we can know that reciprocal lattice of graphene is honeycomb.
But how can we know theorically that it is honeycomb?
Hexagonal lattice or other bravais lattice has just lattice vectors which don`t contain baises.
So it is just straight forward.
In case of graphene which is not a bravais lattice, how can we get a reciprocal lattice?
 
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The lattice is hexagonal, dot. The structure is honeycomb. You can infer this from sytematic absences of peaks.
 
DrDu said:
The lattice is hexagonal, dot. The structure is honeycomb. You can infer this from sytematic absences of peaks.
Thank you for your answer.
But I just know that how can we calculate reciprocal lattice in case of not a bravais lattice.
 
All lattices are bravais lattices. Aa honecomb structure (not lattice) is formed from a hexagonal lattice an a basis consisting of two atoms.
 

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