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Related Concept Videos

Le Chatelier's Principle: Changing Temperature02:19

Le Chatelier's Principle: Changing Temperature

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Consistent with the law of mass action, an equilibrium stressed by a change in concentration will shift to re-establish equilibrium without any change in the value of the equilibrium constant, K. When an equilibrium shifts in response to a temperature change, however, it is re-established with a different relative composition that exhibits a different value for the equilibrium constant.
To understand this phenomenon, consider the elementary reaction:
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Maximum Deflection01:13

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To determine the electron configuration for any particular atom, we can build the structures in the order of atomic numbers. Beginning with hydrogen, and continuing across the periods of the periodic table, we add one proton at a time to the nucleus and one electron to the proper subshell until we have described the electron configurations of all the elements. This procedure is called the aufbau principle, from the German word aufbau (“to build up”). Each added electron occupies the...
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The Uncertainty Principle04:08

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Werner Heisenberg considered the limits of how accurately one can measure properties of an electron or other microscopic particles. He determined that there is a fundamental limit to how accurately one can measure both a particle’s position and its momentum simultaneously. The more accurate the measurement of the momentum of a particle is known, the less accurate the position at that time is known and vice versa. This is what is now called the Heisenberg uncertainty principle. He...
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Fabrication and Characterization of Superconducting Resonators
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High-temperature superconductivity as viewed from the maximum hardness principle.

Wojciech Grochala1, Mariana Derzsi2,3

  • 1Center of New Technologies, University of Warsaw, Żwirki i Wigury 93, 02089, Warsaw, Poland. w.grochala@cent.uw.edu.pl.

Journal of Molecular Modeling
|August 16, 2018
PubMed
Summary

High-temperature superconductors are rare due to a scarcity of high-density metals. These materials are metastable, with their stability primarily due to crystal lattice rigidity, not inherent thermodynamic favorability.

Keywords:
Band gapCritical superconducting temperatureDensity of statesHardnessMetalSuperconductor

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Area of Science:

  • Materials Science
  • Theoretical Chemistry
  • Condensed Matter Physics

Background:

  • The Maximum Hardness Principle (MHP) and Minimum Polarizability Principle (MPP) offer insights into chemical stability.
  • High-temperature superconductors are crucial but their scarcity and stability remain challenging research areas.

Purpose of the Study:

  • To rationalize the scarcity of high-temperature superconductors using the MHP/MPP.
  • To investigate the metastability of high-temperature oxocuprate and iron superconductors.
  • To explore the role of crystal lattice rigidity in stabilizing these materials.

Main Methods:

  • Application of the Maximum Hardness Principle (MHP).
  • Hybrid density functional theory (DFT) calculations.
  • Analysis of doped CaCu(II)O2 precursor (Na- and La-doped).

Main Results:

  • High-temperature superconductors are suggested to be energetically metastable.
  • Their tendency for disproportionation is hindered by crystal lattice rigidity.
  • Phase separation and superstructure formation are frequently observed in these systems.

Conclusions:

  • The MHP helps explain the limited availability of high-temperature superconductors.
  • Metastability, rather than inherent stability, characterizes these materials.
  • Non-equilibrium synthesis methods are likely essential for fabricating high-temperature superconductors.