Closed Packing: Definition & Planes

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SUMMARY

The discussion centers on the concept of "close packing," which refers to the arrangement of spheres in three-dimensional space such that they cannot be packed any closer together. Two primary configurations are identified: cubic close packing and hexagonal close packing, both of which relate to the density of spheres. The conversation also clarifies that while the term is often applied in 3D, close packing can also be relevant in two-dimensional arrangements. Key resources provided include links to animations and detailed explanations of these packing concepts.

PREREQUISITES
  • Understanding of geometric packing principles
  • Familiarity with crystal lattice structures
  • Basic knowledge of atomic theory and sphere geometry
  • Awareness of 2D and 3D spatial arrangements
NEXT STEPS
  • Research "Cubic Close Packing" and its applications in materials science
  • Explore "Hexagonal Close Packing" and its significance in crystallography
  • Study the differences between 2D and 3D packing arrangements
  • Investigate the role of atomic compression in crystal structures
USEFUL FOR

Chemists, materials scientists, and students studying crystallography or solid-state physics will benefit from this discussion on close packing and its implications in atomic arrangements.

gracy
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what is definition of closed packing?a close packing plane is a plane that the atoms cannot be packed any closer?
 
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gracy said:
what is definition of closed packing?a close packing plane is a plane that the atoms cannot be packed any closer?
That's "close packing,", not "closed." Yes, it means that atoms, taken as spheres, cannot be closer to one-another. See http://departments.kings.edu/chemlab/animation/clospack.html
 
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DrClaude said:
it means that atoms, taken as spheres, cannot be closer to one-another.
atoms have to be sphere? in definition word sphere is present?
 
The term "close packing" comes from the part of geometry that deals with the packing of spheres, i.e., how to arrange spheres in 3D. There are two packing of spheres which the density of the spheres, cubic close packing and hexagonal close packing. If you take the center of the spheres in these packing configurations to be the position of an atom, you will find crystal structures that have the same arrangement as these close-packed sphere. Therefore, by taking the atom as a sphere, you can imagine that the crystal structure results from the atoms being as close as possible to each other. Of course, atoms are not spheres and don't have fixed sizes, so can always put them closer together (e.g., by compression).

I found a better link than my previous suggestion:
http://chemwiki.ucdavis.edu/Wikitex...es_of_Matter/Cubic_Lattices_and_Close_Packing
 
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DrClaude said:
, i.e., how to arrange spheres in 3D
what about 2D?is close packing not applied in 2D?
 
gracy said:
what about 2D?is close packing not applied in 2D?
Yes, you can apply it to 2D. It is just that crystal lattices are usually 3D. I'm sorry if I led you astray by discussing spheres in 3D. But the links I gave also discuss the 2D case.
 
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DrClaude said:
Yes, you can apply it to 2D. It is just that crystal lattices are usually 3D. I'm sorry if I led you astray by discussing spheres in 3D. But the links I gave also discuss the 2D case.
Thanks a lot.May God bless you.
 

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