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A pressure-composition phase diagram explicitly describes the behavior of an ideal solution of two volatile liquids under varying pressures and compositions. A pressure-composition diagram has two main curves. The bubble point curve represents the plot of pressure versus liquid mole fraction. It indicates the pressure at which the first bubble of vapor forms from the liquid phase as the system pressure decreases.The dew point curve is the pressure versus vapor mole fraction. It indicates the...
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Nonideal liquid solutions, also known as real solutions, do not strictly follow Raoult's law. Raoult's law is a rule of thumb in physical chemistry. However, not all mixtures adhere to this law due to varying molecular interactions. For example, in an acetone/chloroform solution, the individual vapor pressures of the components are lower than expected, resulting in a total vapor pressure below that predicted by Raoult's law, causing a negative deviation.On the other hand, in an ethanol/water...
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Isomerism in Complexes
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Transition metal complexes often exist as geometric isomers, in which the same atoms are connected through the same types of bonds but with differences in their orientation in space. Coordination complexes with two different ligands in the cis and trans positions from a ligand of interest form isomers. For example, the octahedral [Co(NH3)4Cl2]+ ion has two isomers (Figure 1) In the cis...
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In this lesson, we delve into the role of ring conformation and its stability, which determines the spatial arrangement and, consequently, the molecular symmetry and stereoisomerism of cyclic compounds. 1,2-Dimethylcyclohexane is used as a case study to evaluate the possible number of stereoisomers. Here, given the multiple (n = 2) chiral centers, there are 2n = 4 possible configurations that lack a plane of symmetry, as the ring skeleton exists in a non-planar chair conformation. In addition,...
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The process of a solid dissolving in a liquid to form a solution is governed by the solubility limit, which is the maximum amount of the solid substance, or solute, that can be dissolved in a specific volume of the liquid or solvent. As the solute dissolves, it reaches a point where no more solute can be dissolved at a given temperature - this is known as the saturation point. However, if further solute is added and it manages to dissolve, the solution becomes supersaturated. Supersaturated...
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Multiple ordering transitions in a liquid stabilized by low symmetry structures.

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This study reveals an exotic liquid-liquid transition with chirality before freezing in a lattice model. This transition slows crystallization, allowing supercooling to zero temperature.

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Area of Science:

  • Condensed Matter Physics
  • Computational Materials Science
  • Statistical Mechanics

Background:

  • Understanding liquid behavior and phase transitions is crucial in materials science.
  • Low-symmetry local structures in liquids can lead to complex phase diagrams.
  • Investigating exotic transitions aids in predicting material properties.

Purpose of the Study:

  • To numerically study a lattice liquid model with a low-symmetry favored local structure.
  • To investigate the occurrence and characteristics of liquid-liquid transitions.
  • To explore the supercooling behavior and crystallization dynamics of the model.

Main Methods:

  • Numerical simulations of a lattice model.
  • Analysis of phase transitions and structural ordering.
  • Investigation of crystallization kinetics and supercooling.

Main Results:

  • A depressed freezing point was observed, revealing an exotic liquid-liquid transition.
  • The transition is characterized by the emergence of extended chirality.
  • The ordered liquid exhibits slow crystallization, enabling supercooling to zero temperature.

Conclusions:

  • The study provides an explicit model for liquid ordering via an intermediate liquid-liquid transition.
  • This scenario may be relevant for analyzing low-temperature liquids with realistic interactions.
  • The findings contribute to the understanding of complex fluid behavior and phase transitions.