Connection between spherical packing and lattices?

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Discussion Overview

The discussion explores the relationship between spherical packing and lattice structures, particularly in the context of atomic and molecular arrangements. Participants examine whether spherical packing can be applied to various lattice types, including metals and other crystalline structures.

Discussion Character

  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • One participant questions the connection between spherical packing and the structure of graphite, suggesting a lack of relationship.
  • Another participant asserts that while graphite may not relate to spherical packing, metals do exhibit such connections.
  • A participant inquires about the conditions under which spherical packing can be applied to a lattice, indicating uncertainty about its applicability.
  • In response, a participant suggests that the approach should start with identifying the lattice structure before determining if spherical packing applies, indicating a methodological perspective.
  • Another participant explicitly states that spherical packing is not a universal model applicable to all lattices.
  • A later reply references a chemistry textbook that claims spherical packing can help understand the geometrical requirements of crystal formation, raising questions about the interpretation of this statement.

Areas of Agreement / Disagreement

Participants express differing views on the applicability of spherical packing to lattice structures, with some asserting it is not universally applicable while others reference its relevance in specific contexts. The discussion remains unresolved regarding the generalizability of spherical packing to all lattice types.

Contextual Notes

Participants have not fully clarified the assumptions underlying the relationship between spherical packing and lattice structures, nor have they resolved the implications of the textbook reference on spherical packing's role in crystal formation.

mahela007
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What is the connection between spherical packing and lattice structures of atoms or molecule? For example, i can't see any relationship between spherical packing and the structure of graphite..
 
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Good, structure of graphite is not related to spherical packing. However, take a look at structures of metals.

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methods
 
So when can spherical packing be "applied" to a lattice?
 
Whenever we know it can be applied :wink:

Honestly, I have troubles answering as I feel this question is putting things on the head. We start with a lattice. We research its crystallic structure using crystallographic methods. Once we know that it is FCC or HCP lattice, we know spherical packing will work. So we don't start with spherical packing and look where to apply it, but we start with a lattice and check if spherical packing (or some other sctructure) can be used to describe its properties.

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methods
 
So spherical packing is not a universal model which all lattices must follow?
 
Definitely not.

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methods
 
Well, my chemistry textbook (Advanced chemistry by Raymond Chang 8e) says that the general geometrical requirements of crystal formation can by understood by spherical packing. What does that mean?
 

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