Why is tetrahedral the most stable?

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  • Thread starter Thread starter Abhijeet Verma
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    Bonding Stable
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Discussion Overview

The discussion revolves around the stability of tetrahedral arrangements in molecular structures, particularly in the context of molecules like CH4. Participants explore the geometric properties that allow four points to be maximally spaced around a central point, focusing on the implications for minimizing repulsion between atoms.

Discussion Character

  • Exploratory, Technical explanation, Conceptual clarification

Main Points Raised

  • One participant inquires about proving that a tetrahedral arrangement allows four points to be maximally spaced around a fixed center, emphasizing the symmetry of the arrangement.
  • Another participant reiterates the question regarding the tetrahedral arrangement, noting that any four points define a tetrahedron.
  • A later post clarifies that the tetrahedral arrangement being discussed refers specifically to one with an angle of nearly 109 degrees and 28 minutes.
  • Another participant mentions the term "regular tetrahedron" without further elaboration.

Areas of Agreement / Disagreement

Participants appear to share a common interest in the tetrahedral arrangement, but the discussion remains unresolved regarding the proof of its stability and the specific geometric properties involved.

Contextual Notes

The discussion lacks detailed mathematical proofs or definitions that may be necessary to fully understand the claims about tetrahedral arrangements. There are also no explicit assumptions stated regarding the conditions under which the tetrahedral arrangement is considered stable.

Abhijeet Verma
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How do we prove that tetrahedral arrangement is the arrangement which allows 4 points to be maximum apart from each other about a fixed centre, assuming that the points are all symmetrical about the centre.
(I am asking in context of the structures of the molecules like CH4, since there the structure is favoured since it allows the individual atoms to be maximum apart and hence minimise repulsion)
 
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Abhijeet Verma said:
How do we prove that tetrahedral arrangement is the arrangement which allows 4 points to be maximum apart from each other about a fixed centre, assuming that the points are all symmetrical about the centre.

Any four points determine a tetrahedon.
 
Sorry, by tetrahedral arrangement, i mean a tetrahedral with an angle of nearly 109deg. 28 min.
 
Regular tetrahedron.
 

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