Understanding the chemical potential

Cook, GA; Dickerson, R. H.

doi:10.1119/1.17844

Cited by 54 publications

(38 citation statements)

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“…l S is the chemical potential of S, which is the difference in internal energy of the system when adding 1 atom through an isochoric and isentropic process (constant volume and entropy). 28 More detail regarding the chemical potential of S can be found in the review paper on the atomic and electronic structure of MoS 2 particles by Bollinger et al 29 In this study, the upper and lower bounds for the chemical potential are 0.0 and À1.4 eV, respectively. 19,22 Since the multiaxial stress state is localized at the center of the membrane, the point defect removal area is specified as a circular region whose diameter is equal to the diameter of the indenter.…”

Section: Simulation Methodsmentioning

confidence: 53%

Effect of point and grain boundary defects on the mechanical behavior of monolayer MoS2 under tension via atomistic simulations

Dang

Spearot

2014

Journal of Applied Physics

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Negative differential resistance and effect of defects and deformations in MoS2 armchair nanoribbon metaloxide-semiconductor field effect transistor Atomistic simulation is used to study the structure and energy of defects in monolayer MoS 2 and the role of defects on the mechanical properties of monolayer MoS 2 . First, energy minimization is used to study the structure and energy of monosulfur vacancies positioned within the bottom S layer of the MoS 2 lattice, and 60 symmetric tilt grain boundaries along the zigzag and armchair directions, with comparison to experimental observations and density functional theory calculations. Second, molecular dynamics simulations are used to subject suspended defect-containing MoS 2 membranes to a state of multiaxial tension. A phase transformation is observed in the defect-containing membranes, similar to prior work in the literature. For monolayer MoS 2 membranes with point defects, groups of monosulfur vacancies promote stress-concentration points, allowing failure to initiate away from the center of the membrane. For monolayer MoS 2 membranes with grain boundaries, failure initiates at the grain boundary and it is found that the breaking force for the membrane is independent of grain boundary energy. V C 2014 AIP Publishing LLC.

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Section: Simulation Methodsmentioning

confidence: 53%

Effect of point and grain boundary defects on the mechanical behavior of monolayer MoS2 under tension via atomistic simulations

Dang

Spearot

2014

Journal of Applied Physics

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“…Thermodynamically, the driving force responsible for conducting a phase transition is the chemical potential (µ), which is affected by temperature and pressure [1][2][3]. When there is a gradient in the chemical potential between two phases, a spontaneous phase transition is produced from the higher chemical potential phase to the lower chemical potential phase [4,5]. This transition continuous until the equilibrium is achieved.…”

Section: Phase Transitionsmentioning

confidence: 99%

“…The text is divided into four sections and the conclusions. These sections are as follows: (1) introduction, (2) phase transitions, (3) comparison of the conventional technique against the modulated technique, and (4) examples of the application of the DSC techniques in different industrial fields.…”

Section: Introductionmentioning

confidence: 99%

Application of Differential Scanning Calorimetry (DSC) and Modulated Differential Scanning Calorimetry (MDSC) in Food and Drug Industries

et al. 2019

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Phase transition issues in the field of foods and drugs have significantly influenced these industries and consequently attracted the attention of scientists and engineers. The study of thermodynamic parameters such as the glass transition temperature (Tg), melting temperature (Tm), crystallization temperature (Tc), enthalpy (H), and heat capacity (Cp) may provide important information that can be used in the development of new products and improvement of those already in the market. The techniques most commonly employed for characterizing phase transitions are thermogravimetric analysis (TGA), dynamic mechanical analysis (DMA), thermomechanical analysis (TMA), and differential scanning calorimetry (DSC). Among these techniques, DSC is preferred because it allows the detection of transitions in a wide range of temperatures (−90 to 550 °C) and ease in the quantitative and qualitative analysis of the transitions. However, the standard DSC still presents some limitations that may reduce the accuracy and precision of measurements. The modulated differential scanning calorimetry (MDSC) has overcome some of these issues by employing sinusoidally modulated heating rates, which are used to determine the heat capacity. Another variant of the MDSC is the supercooling MDSC (SMDSC). SMDSC allows the detection of more complex thermal events such as solid–solid (Ts-s) transitions, liquid–liquid (Tl-l) transitions, and vitrification and devitrification temperatures (Tv and Tdv, respectively), which are typically found at the supercooling temperatures (Tco). The main advantage of MDSC relies on the accurate detection of complex transitions and the possibility of distinguishing reversible events (dependent on the heat capacity) from non-reversible events (dependent on kinetics).

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“…The properties of ideal quantum gases are expressed, conveniently and succinctly in terms of the so-called Fermi-Dirac and Bose-Einstein functions. And essential to this is knowledge of the chemical potential [9].…”

Section: Introductionmentioning

confidence: 99%

On the Chemical Potential of Ideal Fermi and Bose Gases

Cowan

2019

J Low Temp Phys

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Knowledge of the chemical potential is essential in application of the Fermi-Dirac and the Bose-Einstein distribution functions for the calculation of properties of quantum gases. We give expressions for the chemical potential of ideal Fermi and Bose gases in 1, 2 and 3 dimensions in terms of inverse polylogarithm functions. We provide Mathematica functions for these chemical potentials together with low-and hightemperature series expansions. In the 3d Bose case we give also expansions about T B. The Mathematica routines for the series allow calculation to arbitrary order.

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Understanding the chemical potential

Cited by 54 publications

References 0 publications

Effect of point and grain boundary defects on the mechanical behavior of monolayer MoS2 under tension via atomistic simulations

Effect of point and grain boundary defects on the mechanical behavior of monolayer MoS2 under tension via atomistic simulations

Application of Differential Scanning Calorimetry (DSC) and Modulated Differential Scanning Calorimetry (MDSC) in Food and Drug Industries

On the Chemical Potential of Ideal Fermi and Bose Gases

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