Why solids aren't organized in simple cubic (SC) and Simple Hexagonal(SH) ?

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Discussion Overview

The discussion revolves around the question of why solids do not commonly adopt simple cubic (SC) and simple hexagonal (SH) arrangements in their crystal lattices. Participants explore theoretical aspects, practical occurrences, and the implications of crystal imperfections.

Discussion Character

  • Exploratory
  • Debate/contested
  • Technical explanation

Main Points Raised

  • One participant notes that SC and SH are described as "theoretical arrangements" and questions the reasons for their rarity in nature.
  • Another participant suggests that SC is less common because more efficient packing arrangements like BCC (body-centered cubic) and FCC (face-centered cubic) are favored, while also mentioning that impurities and structural defects in real materials contribute to the absence of perfect crystal forms.
  • A different viewpoint mentions that simple cubic structures can exist under specific conditions, citing high-pressure allotrophs of phosphorus and the stability of polonium at normal conditions.
  • There is a query about cesium chloride being a simple cubic structure, which is reiterated by another participant, indicating a possible example of SC in nature.
  • One participant clarifies that while there are examples of simple cubic or hexagonal lattices, the original inquiry likely pertains to structures with a one-atom basis.

Areas of Agreement / Disagreement

Participants express differing views on the prevalence and examples of SC and SH structures, with some agreeing on the rarity of these arrangements in nature while others provide counterexamples. The discussion remains unresolved regarding the definitive reasons for the lack of these structures in common materials.

Contextual Notes

Participants acknowledge the influence of impurities, dislocations, and vacancies on crystal structures, but the discussion does not resolve the specific conditions under which SC or SH might be realized.

ShizukaSm
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My book mentioned that SC and SH are both "Theoretical arrangement" for crystal lattices, and later posed the question "Why it doesn't happen?", however it never provided an answer.

Well, I can 'sort of' (very non-scientifically, mind you) imagine why, three stacked layers of spheres(atoms) would rather fall in an alternate pattern than stay in perfectly tangential organization, Is there a better answer however? I mean, a better reason?

Thanks in advance
 
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My guess is, firstly SC (1 atom per unit cell) is rare in nature as BCC (2 atoms per unit cell) and FCC (4 atoms per unit cell) are more efficient forms of cubic packing and so are more common. I'm not sure about SH.
Secondly, it doesn't happen in nature because nothing is a perfect crystal of pure material. There's always impurities, dislocations, vacancies etc.
 
I think simple cubic is realized in a high pressure allotroph of phosphorus and is the most stable structure at normal pressure and temperature of polonium. So it is quite exotic but possible.
 
isn't cesium chloride SC?
 
chill_factor said:
isn't cesium chloride SC?

There are plenty of examples with a simple cubic or hexagonal lattice, but I suppose what the OP meant was crystal structures with a simple cubic or hexagonal lattice and a one-atom basis.
 

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