Sphere/Atom packing - most efficient lattices?

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SUMMARY

The discussion centers on the efficiency of sphere packing in crystal lattices, specifically highlighting the face-centered cubic (FCC) structure as the highest theoretically possible packing density. It also mentions the hexagonal close-packed (HCP) structure and a variant of tetrahedral body-centered cubic (BCC) packing. Participants seek clarification on the tetrahedral BCC and request visual representations of this packing arrangement, referencing a specific PDF document for further information.

PREREQUISITES
  • Understanding of crystal lattice structures
  • Familiarity with packing density concepts
  • Knowledge of solid state physics principles
  • Ability to interpret scientific literature and diagrams
NEXT STEPS
  • Research the properties of face-centered cubic (FCC) and hexagonal close-packed (HCP) lattices
  • Explore tetrahedral body-centered cubic (BCC) packing and its applications
  • Examine the mathematical derivation of packing densities in crystal structures
  • Review the provided PDF document for detailed explanations and diagrams
USEFUL FOR

Students and professionals in materials science, solid state physics, and crystallography, as well as anyone interested in the theoretical aspects of crystal lattice packing efficiency.

roberto85
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From wikipedia i have this quote: The fcc value is the highest theoretically possible value for any lattice, although there are other lattices which also achieve the same value, such as hexagonal close packed and one version of tetrahedral bcc


What is the tetrahedral BCC which they refer to? Anyone know where i can see an image of this packing? Was tempted to post this in the solid state physics section since it does refer to crystal lattices but wasn't sure it was the best place. Thanks
 
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Pages 9 and 10 of the following link?



http://www.public.asu.edu/~rosebudx/Chap6_208_288.pdf
 
checkitagain said:
Pages 9 and 10 of the following link?



http://www.public.asu.edu/~rosebudx/Chap6_208_288.pdf

Brilliant, thanyou so much. I expect this pdf will answer more of my questions when i read it more fully.
 

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