Difference between revisions of "Kaehler bracket"

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'''Kaehler brackets''' are (usually small) structural [[crystolecule]] elements made from [[gemstone-like compound]]s <br>
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'''Kaehler brackets''' (named after Ted Kaehler see in links below) <br>
that have as their internal structure not a nicely ordered lattice <br>  
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are (usually small) structural [[crystolecule]] elements made from [[gemstone-like compound]]s <br>
but rather a glassy amorphous like structure that was computer optimized <br>
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that have as their internal structure not in a nicely ordered lattice <br>  
to approximate a certain ideally desired geometric alignment.
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but rather in a glassy [[quasi amorphous structure|amorphous like structure]] that was computer optimized <br>
 +
to approximate a certain ideally desired geometric alignment. <br>
  
Kaehler brackets fing mention in [[Nanosystems]].
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Kaehler brackets are mentioned in the book [[Nanosystems]].
  
== Avoiding high internal stresses and strains ==
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== Effect of size on pose apporximation accuracy (and compute effort) ==
  
Avoiding high internal tensions will usually be desired to:
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Bigger Kaehler brackets have more internal volume thus vastly more arrangement options <br>
* retain full mechanical strength
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and can much more accurately approximate desired poses in space much more accurately. <br>
* avoid fire hazard or even explosion hazard
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== Size and search space ==
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Eventually approximation accuracy may become lower in error amplitudes than thermal motions amplitudes <br>
 +
(or {{speculativity warning}} even may go down towards the scale of nuclei for really big parts). <br>
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See page: [[Quasi amorphous structure]] <br>
  
The bigger the bracket the more accurate a desired alignement can be approximated. <br>
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With larger size also the size of the search space grows extremely (to uber astronomical sizes). <br>
The search-space quickly becomes hyper gigantic though. <br>
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See page: [[Quasi amorphous structure]]
[[Quantum computers]] could be used to find optimal atomic arrangements for desired geometries.
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== Going to the extreme ==
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== Usage cases ==
  
Even if thermal motions are bigger than the achieved accuracy over macroscale large scale that can average out. <br>
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E.g. integrating [[strained shell structure]]s (like e.g. [[Atomically precise slide bearing|sliding strained shell sleeve bearings]]) <br>
Gravitational detectors e.g. can detect distances far below the diameter of an atomic core.
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into a non-strained single [[The benefits of nonmonolithic structures|sort of]] single crystalline global frame while <br>
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* introducing minimal stresses
 +
* getting large cross sectional support area
 +
 
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Lower remnant stresses can
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* … increase thermal, chemical, and mechanical stability and …
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* … reduce system internal energy that otherwise could increase flammability <br>or possibly make thing even explosive in the worst case.
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== Related ==
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* '''[[Quasi amorphous structure]]''', [[glassolecule]], [[quasicrystolecule]]
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* [[Crystolecule fragment]]
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* [[Dialondeite]]
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* [[Neo-polymorph]] & [[Pseudo phase diagram]]
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* [[Design of crystolecules]]
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* Solving the associated optimization problem by employing the power of [[quantum computation|quantum computers]].
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== External links ==
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Wikipedia:
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* [https://en.wikipedia.org/wiki/Ted_Kaehler Ted Kaehler]

Latest revision as of 10:58, 28 February 2025

Kaehler brackets (named after Ted Kaehler see in links below)
are (usually small) structural crystolecule elements made from gemstone-like compounds
that have as their internal structure not in a nicely ordered lattice
but rather in a glassy amorphous like structure that was computer optimized
to approximate a certain ideally desired geometric alignment.

Kaehler brackets are mentioned in the book Nanosystems.

Effect of size on pose apporximation accuracy (and compute effort)

Bigger Kaehler brackets have more internal volume thus vastly more arrangement options
and can much more accurately approximate desired poses in space much more accurately.

Eventually approximation accuracy may become lower in error amplitudes than thermal motions amplitudes
(or Warning! you are moving into more speculative areas. even may go down towards the scale of nuclei for really big parts).
See page: Quasi amorphous structure

With larger size also the size of the search space grows extremely (to uber astronomical sizes).
See page: Quasi amorphous structure

Usage cases

E.g. integrating strained shell structures (like e.g. sliding strained shell sleeve bearings)
into a non-strained single sort of single crystalline global frame while

  • introducing minimal stresses
  • getting large cross sectional support area

Lower remnant stresses can …

  • … increase thermal, chemical, and mechanical stability and …
  • … reduce system internal energy that otherwise could increase flammability
    or possibly make thing even explosive in the worst case.

Related

External links

Wikipedia: