Microstates
Microstates - Related Videos
06:40
Microstate and Omega Complexity Analyses of the Resting-state Electroencephalography
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Cited by 10 •
2018
This article describes the protocol underlying electroencephalography (EEG) microstate analysis and omega complexity analysis, which are two reference-free EEG measures and highly valuable to explore the neural mechanisms of brain disorders.
02:39
Entropy
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2020
Salt particles that have dissolved in water never spontaneously come back together in solution to reform solid particles. Moreover, a gas that has expanded in a vacuum remains dispersed and never spontaneously reassembles. The unidirectional nature of these phenomena is the result of a thermodynamic state function called entropy (S). Entropy is the measure of the extent to which the energy is dispersed throughout a system, or in other words, it is proportional to the degree of disorder of a...
02:38
Third Law of Thermodynamics
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2020
A pure, perfectly crystalline solid possessing no kinetic energy (that is, at a temperature of absolute zero, 0 K) may be described by a single microstate, as its purity, perfect crystallinity,and complete lack of motion means there is but one possible location for each identical atom or molecule comprising the crystal (W = 1). According to the Boltzmann equation, the entropy of this system is zero. This limiting condition for a system’s entropy represents the third law of thermodynamics: the...
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Multiplicity, represented by Ω, determines how strongly a macrostate contributes to statistical behavior because it counts the distinct arrangements compatible with that state. When one macrostate has more accessible arrangements than another, its larger Ω produces a larger value of S through S = kB ln Ω. Comparing Ω therefore links microscopic counting with macroscopic entropy.
The tendency toward macrostates with many microstates follows from entropy rather than from a preference for any one microscopic arrangement. Because S increases with the logarithm of Ω, a macrostate supported by more accessible arrangements has greater entropy. This principle provides a molecular-level explanation for why equilibrium behavior is associated with the statistically favored distribution of particles or energy.
Energy-level microstates record how molecules are distributed among available energies, whereas spin microstates record orientations of molecular spins. The distinction matters because each description counts a different kind of microscopic arrangement within a specified macroscopic state. Choosing the appropriate representation allows chemists to connect the relevant molecular detail with thermodynamic or spectroscopic behavior.
To apply microstate analysis, first specify the macroscopic state and the molecular details being tracked, such as distributions among energy levels or spin orientations. Next, enumerate the distinct arrangements consistent with that state and determine their multiplicity, Ω. Finally, use S = kB ln Ω to relate the count to entropy, allowing alternative macrostates to be compared quantitatively.
Microstate analysis supports spectroscopy by organizing the molecular arrangements that underlie observable spectroscopic behavior. A chemist can examine how molecules are distributed among energy levels or how their spins are oriented, then relate those microscopic possibilities to the measured macroscopic state. This framework helps interpret spectroscopic observations in terms of molecular-level configurations rather than isolated signals.
In chemical kinetics, microstates provide a way to consider molecular-level arrangements alongside the macroscopic behavior of a reacting system. Tracking distributions among energy levels or other molecular properties can help organize how microscopic possibilities relate to kinetic observations. The value of this perspective is conceptual: it connects particle-level arrangements with the measurable behavior used to describe chemical change.