Graduate K-point mesh and Monkhorst-Pack

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SUMMARY

The K-point mesh and Monkhorst-Pack method are closely related concepts used in VASP (Vienna Ab-initio Simulation Package) for electronic structure calculations. The Monkhorst-Pack mesh is a specific type of K-point sampling that provides a regular grid in the first Brillouin zone, which can be adjusted based on the number of cells in the simulation. As the number of cells increases, the Monkhorst-Pack mesh may increase, while in some cases, the K-point mesh may decrease, reflecting different sampling strategies in computational studies.

PREREQUISITES
  • Understanding of K-point sampling in solid-state physics
  • Familiarity with VASP (Vienna Ab-initio Simulation Package)
  • Knowledge of Brillouin zones and their significance in band structure calculations
  • Basic concepts of periodicity in crystal structures
NEXT STEPS
  • Review the VASP documentation on KPOINTS for detailed definitions and examples
  • Explore the implications of K-point density on computational accuracy in VASP
  • Investigate the relationship between cell size and K-point mesh selection in electronic structure calculations
  • Learn about alternative K-point sampling methods and their applications in different computational scenarios
USEFUL FOR

Researchers and practitioners in computational materials science, particularly those using VASP for electronic structure calculations, will benefit from this discussion. It is also relevant for physicists and chemists interested in solid-state physics and band structure analysis.

ramana3797
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I am confused as how these are used in VASP calculations
Are the K-point mesh and monkhorst pack same. I was reading research papers using VASP and in some papers as the number of cells increases the Monkhorst Pack increases but in others the K-Point mesh decreases. Could some one clarify how these are used in the calculations.
 
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Hej ramana3797,

I am not sure (since I sometimes read in this context how people babble about symmetries being exploited), so take this with a grain of salt, BUT...

In this article of the VASP-Wiki

https://www.vasp.at/wiki/index.php/KPOINTS

you find a concrete definition of the k-points in a Monkhorst-Pack-mesh. Looking at this expression reveals then, that the mesh seems to be just a "regular sampling of the first Brillouin-zone" but shifted. (The periodicity of band-structures allows for this shift.)

If you found out more about this, I would be happy to hear about it.

Hälsningar
Sebastian
 

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