THE DENSITY OF LIQUID COPPER FROM ITS MELTING POINT (1356°K.) TO 2500°K. AND AN ESTIMATE OF ITS CRITICAL CONSTANTS<sup>1,2</sup>

Cahill, Janet; Kirshenbaum, A. D.

doi:10.1021/j100812a027

Cited by 90 publications

(32 citation statements)

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“…This simple analysis indicates that both Martynyuk's estimation and the higher values reported in Refs. [39,46] are not applicable for the laser ablation of copper when phase explosion occurs. Based on the value used in this work (8000 K), 0.9T c yields a temperature of 6300 K. To make the 0.9T c criterion work in this temperature, one would need a critical temperature of 7100 K for copper.…”

Section: Laser Ablation Of Coppermentioning

confidence: 99%

Multi-scale modeling of phase explosion in high fluence nanosecond laser ablation and clarification of ablation depth prediction criterion

Cao

Shin

2015

Applied Surface Science

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a b s t r a c tWhen phase explosion occurs, accurate prediction of the ablation behavior in the high energy nanosecond laser ablation process still remains a difficult challenge. In this paper, nanosecond laser ablation of aluminum and copper with phase explosion is investigated through a multi-scale model and experimental verification. The melt ejection behavior during phase explosion is successfully predicted by combined molecular dynamics (MD) and smoothed particle hydrodynamics (SPH) simulations and validated against the experiments. The commonly adopted 0.9T c (critical temperature) criterion for phase explosion boundary is also assessed with the prediction of the ablation depth for both aluminum and copper, and it is found that the 0.9T c criterion does not always work. The multi-scale model developed in this work is shown to have better capability in predicting the ablation behavior when phase explosion is involved.

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Section: Laser Ablation Of Coppermentioning

confidence: 99%

Multi-scale modeling of phase explosion in high fluence nanosecond laser ablation and clarification of ablation depth prediction criterion

Cao

Shin

2015

Applied Surface Science

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“…Then we accept Z p = 4S n 2 /m = 31, 80795 10 -8 n, where n = 6,022 10 23 Z U / A; A = 64. Temperature dependence of copper density,ȡ, is adopted from [16]. The measured values of metal density are taken into account up to the temperature of boiling only, inclusive.…”

Section: Plasma Frequencymentioning

confidence: 99%

“…But in such calculations, if reflectivity (absorptions) were used, then for such temperatures they would be got only by extrapolation on high temperatures, as a direct measuring of these coefficients at high temperatures, higher 3000Ʉ in literature were not met. In [16] it was got T cr = 9000 K but by extrapolation of density of the gas state of copper from the boiling temperature…”

Section: Critical Temperaturementioning

confidence: 99%

States and properties of metallic systems at a threshold breakdown of the through holes under power laser action (part 2).Susceptibility

Kalashnikov

Kantor²,

Bugayev

2016

MATEC Web of Conferences

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Abstract. Threshold breakdown of the through holes by power laser radiation of metallic foils is considered as response of metallic system to laser radiation. Binding experimentally determined response to the absolute temperature scale allows to determine the value of the imaginary part of the generalized susceptibility depending on temperature, the critical temperature of the transition "liquid metal -gas", states of the electronic subsystems at this temperature, and the reflectance coefficient values.Key words: Response, imaginary part of the generalized susceptibility, plasm frequency, frequency of electron-ion interaction, critical temperature of second order "liquid metal-gas" phase transition, reflectance coefficient.

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“…However, the parameters of the critical point for copper were not measured. The available estimates (see, for example, [32]) and calculation by approximations [4][5][6][7][8][9][10][11][12][13] give close values.…”

Section: Phase Diagrammentioning

confidence: 99%

“…Because the pressure varies little at T < 3000 K and has little effect on thermal expansion, Fig. 3 gives for comparison experimentally obtained dependences ρ(T) [32] at P = 1 bar. The calculated and experimentally obtained dependences ρ(T) agree well in the case of a solid.…”

Section: Phase Diagrammentioning

confidence: 99%

Semiempirical Model of Equation of State for Condensed Media

Prut

2005

High Temp

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An approximation of equation of state for matter is treated, which involves the consistent use of interpolation approach with respect to both density and temperature in the entire nonrelativistic region. The cold component is defined under normal conditions by four experimentally obtained parameters, namely, specific volume, bond energy, bulk modulus, and parameter κ = -(∂lnB S /∂lnV) S . The thermal ion component describes the transition from lattice vibrations with free Debye energy as a function of characteristic temperature being introduced, which makes possible the extension of the range of its application from zero temperature to ideal gas. The thermal electron component describes the transition of free electrons from ideal degenerate gas to nondegenerate state. A formula is suggested which enables one to calculate the degree of ionization at arbitrary densities and temperatures. Continuous functions are described which approximate ionization potentials and energies. The phase diagram, shock adiabats for continuous and porous matter, and isentropes are calculated. An analytical approximation of the Debye function is suggested. The results are illustrated by dependences on compression ratio in the range ρ/ρ 0 = 1 to 10 6 . Comparison is made with experimental data.

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THE DENSITY OF LIQUID COPPER FROM ITS MELTING POINT (1356°K.) TO 2500°K. AND AN ESTIMATE OF ITS CRITICAL CONSTANTS^1,2

Cited by 90 publications

References 0 publications

Multi-scale modeling of phase explosion in high fluence nanosecond laser ablation and clarification of ablation depth prediction criterion

Multi-scale modeling of phase explosion in high fluence nanosecond laser ablation and clarification of ablation depth prediction criterion

States and properties of metallic systems at a threshold breakdown of the through holes under power laser action (part 2).Susceptibility

Semiempirical Model of Equation of State for Condensed Media

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THE DENSITY OF LIQUID COPPER FROM ITS MELTING POINT (1356°K.) TO 2500°K. AND AN ESTIMATE OF ITS CRITICAL CONSTANTS1,2

Cited by 90 publications

References 0 publications

Multi-scale modeling of phase explosion in high fluence nanosecond laser ablation and clarification of ablation depth prediction criterion

Multi-scale modeling of phase explosion in high fluence nanosecond laser ablation and clarification of ablation depth prediction criterion

States and properties of metallic systems at a threshold breakdown of the through holes under power laser action (part 2).Susceptibility

Semiempirical Model of Equation of State for Condensed Media

Contact Info

Product

Resources

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THE DENSITY OF LIQUID COPPER FROM ITS MELTING POINT (1356°K.) TO 2500°K. AND AN ESTIMATE OF ITS CRITICAL CONSTANTS^1,2