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The shape of a small drop of liquid can be considered spherical, neglecting the effect of gravity. This drop can further be considered as two equal hemispherical drops put together due to surface tension. The forces acting on the spherical drop are due to the pressure of the liquid inside the drop, the pressure due to air outside the drop, and the force due to the surface tension acting on the two hemispherical drops.
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When a plane surface is submerged in a fluid, hydrostatic forces develop on the surface due to the fluid's pressure. For horizontal surfaces, the pressure exerted by the fluid is uniform because the depth remains constant. The resultant force is determined by the pressure at the given depth multiplied by the area of the surface, and it acts through the centroid of the surface. For vertical surfaces, the pressure varies with depth, increasing as the distance from the fluid's free surface...
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Hydrostatic Pressure Force on a Curved Surface01:04

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Hydrostatic pressure on curved surfaces is a fundamental concept in fluid mechanics with broad applications in the civil engineering field. When fluid is in contact with a curved surface, as in a reservoir, dam, or storage tank, it exerts pressure that varies in magnitude and direction along the curved surface. To assess the total hydrostatic force exerted by the fluid on a curved structure, engineers typically isolate the fluid volume adjacent to the surface and analyze the forces acting on...
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The basic equation for a pressure field in fluid mechanics captures the balance of forces within any segment of fluid, providing a foundational understanding of how pressure changes within fluids under various forces. Generally, two main types of forces act on any part of a fluid: surface forces and body forces. Surface forces arise from pressure differences across points within the fluid, which result in net forces that can vary depending on the local pressure gradient. Body forces, on the...
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The work done by a thermodynamic system depends not only on the initial and final states but also on the intermediate states—that is, on the path. Like work, when heat is added to a thermodynamic system, it undergoes a change of state, and the state attained depends on the path from the initial state to the final state. Consider an ideal gas cylinder fitted with a piston. When the cylinder is heated at a constant temperature, the gas molecules absorb energy and expand slowly in a...
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When a body is submerged in water, it experiences fluid pressure acting normal on its surface and distributed over its area. For better design structures, it is crucial to determine the magnitude and location of the resultant force acting on the surface. In the case of a rectangular plate of constant width submerged in water, the pressure increases with depth, resulting in a linearly varying trapezoidal pressure distribution from the upper to the lower edge of the plate.
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Ge32 Co9-x : Creating "Empty" Space by High Pressure.

William P Clark1, Wilder Carrillo-Cabrera1, Yurii Prots1

  • 1Max-Planck-Institut für Chemische Physik fester Stoffe, Nöthnitzer Str. 40, 01187, Dresden, Germany.

Chemistry (Weinheim an Der Bergstrasse, Germany)
|February 1, 2023
PubMed
Summary

A new metastable Germanium-Cobalt compound (Ge32Co9-x) was synthesized under high pressure. This novel material exhibits a unique crystal structure and metal-like electrical conductivity.

Keywords:
chemical bonding in position spacecobaltelectron localizabilitygermaniumhigh-pressure synthesis

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Area of Science:

  • Solid-state chemistry
  • Materials science
  • Crystallography

Background:

  • High-pressure synthesis enables the discovery of novel metastable materials.
  • Understanding structure-property relationships is key in materials development.

Purpose of the Study:

  • To synthesize and characterize a new Germanium-Cobalt compound.
  • To elucidate its crystal structure and chemical bonding.
  • To investigate its electrical properties.

Main Methods:

  • High-pressure and high-temperature synthesis.
  • X-ray diffraction for crystal structure determination.
  • Real-space chemical bonding analysis.
  • Electrical conductivity measurements.

Main Results:

  • A new metastable compound, Ge32Co9-x, was successfully prepared.
  • The material crystallizes in a novel structure type (Pearson symbol cI82-1.08).
  • Analysis revealed Ge16Co3 cluster units and Ge-Ge bonds or lone-pairs in interstitial regions.
  • The compound exhibits metal-like electrical conductivity.

Conclusions:

  • Ge32Co9-x represents a new structure type with complex bonding.
  • The compound's metastability and properties offer avenues for further research.