- •Preface
- •Contents
- •1 Nonideal plasma. Basic concepts
- •1.1 Interparticle interactions. Criteria of nonideality
- •1.1.1 Interparticle interactions
- •1.1.2 Coulomb interaction. Nonideality parameter
- •1.1.4 Compound particles in plasma
- •1.2.2 Metal plasma
- •1.2.3 Plasma of hydrogen and inert gases
- •1.2.4 Plasma with multiply charged ions
- •1.2.5 Dusty plasmas
- •1.2.6 Nonneutral plasmas
- •References
- •2.1 Plasma heating in furnaces
- •2.1.1 Measurement of electrical conductivity and thermoelectromotive force
- •2.1.2 Optical absorption measurements.
- •2.1.3 Density measurements.
- •2.1.4 Sound velocity measurements
- •2.2 Isobaric Joule heating
- •2.2.1 Isobaric heating in a capillary
- •2.2.2 Exploding wire method
- •2.3 High–pressure electric discharges
- •References
- •3.1 The principles of dynamic generation and diagnostics of plasma
- •3.2 Dynamic compression of the cesium plasma
- •3.3 Compression of inert gases by powerful shock waves
- •3.4 Isentropic expansion of shock–compressed metals
- •3.5 Generation of superdense plasma in shock waves
- •References
- •4 Ionization equilibrium and thermodynamic properties of weakly ionized plasmas
- •4.1 Partly ionized plasma
- •4.2 Anomalous properties of a metal plasma
- •4.2.1 Physical properties of metal plasma
- •4.2.2 Lowering of the ionization potential
- •4.2.3 Charged clusters
- •4.2.4 Thermodynamics of multiparticle clusters
- •4.3 Lowering of ionization potential and cluster ions in weakly nonideal plasmas
- •4.3.1 Interaction between charged particles and neutrals
- •4.3.2 Molecular and cluster ions
- •4.3.3 Ionization equilibrium in alkali metal plasma
- •4.4 Droplet model of nonideal plasma of metal vapors. Anomalously high electrical conductivity
- •4.4.1 Droplet model of nonideal plasma
- •4.4.2 Ionization equilibrium
- •4.4.3 Calculation of the plasma composition
- •4.5 Metallization of plasma
- •4.5.3 Phase transition in metals
- •References
- •5.1.1 Monte Carlo method
- •5.1.2 Results of calculation
- •5.1.4 Wigner crystallization
- •5.1.5 Integral equations
- •5.1.6 Polarization of compensating background
- •5.1.7 Charge density waves
- •5.1.8 Sum rules
- •5.1.9 Asymptotic expressions
- •5.1.10 OCP ion mixture
- •5.2 Multicomponent plasma. Results of the perturbation theory
- •5.3 Pseudopotential models. Monte Carlo calculations
- •5.3.1 Choice of pseudopotential
- •5.5 Quasiclassical approximation
- •5.6 Density functional method
- •5.7 Quantum Monte Carlo method
- •5.8 Comparison with experiments
- •5.9 On phase transitions in nonideal plasmas
- •References
- •6.1 Electrical conductivity of ideal partially ionized plasma
- •6.1.1 Electrical conductivity of weakly ionized plasma
- •6.2 Electrical conductivity of weakly nonideal plasma
- •6.3 Electrical conductivity of nonideal weakly ionized plasma
- •6.3.1 The density of electron states
- •6.3.2 Electron mobility and electrical conductivity
- •References
- •7 Electrical conductivity of fully ionized plasma
- •7.1 Kinetic equations and the results of asymptotic theories
- •7.2 Electrical conductivity measurement results
- •References
- •8 The optical properties of dense plasma
- •8.1 Optical properties
- •8.2 Basic radiation processes in rarefied atomic plasma
- •8.5 The principle of spectroscopic stability
- •8.6 Continuous spectra of strongly nonideal plasma
- •References
- •9 Metallization of nonideal plasmas
- •9.1 Multiple shock wave compression of condensed dielectrics
- •9.1.1 Planar geometry
- •9.1.2 Cylindrical geometry
- •9.3 Metallization of dielectrics
- •9.3.1 Hydrogen
- •9.3.2 Inert gases
- •9.3.3 Oxygen
- •9.3.4 Sulfur
- •9.3.5 Fullerene
- •9.3.6 Water
- •9.3.7 Dielectrization of metals
- •9.4 Ionization by pressure
- •References
- •10 Nonneutral plasmas
- •10.1.1 Electrons on a surface of liquid He
- •10.1.2 Penning trap
- •10.1.3 Linear Paul trap
- •10.1.4 Storage ring
- •10.2 Strong coupling and Wigner crystallization
- •10.3 Melting of mesoscopic crystals
- •10.4 Coulomb clusters
- •References
- •11 Dusty plasmas
- •11.1 Introduction
- •11.2 Elementary processes in dusty plasmas
- •11.2.1 Charging of dust particles in plasmas (theory)
- •11.2.2 Electrostatic potential around a dust particle
- •11.2.3 Main forces acting on dust particles in plasmas
- •11.2.4 Interaction between dust particles in plasmas
- •11.2.5 Experimental determination of the interaction potential
- •11.2.6 Formation and growth of dust particles
- •11.3 Strongly coupled dusty plasmas and phase transitions
- •11.3.1 Theoretical approaches
- •11.3.2 Experimental investigation of phase transitions in dusty plasmas
- •11.3.3 Dust clusters in plasmas
- •11.4 Oscillations, waves, and instabilities in dusty plasmas
- •11.4.1 Oscillations of individual particles in a sheath region of gas discharges
- •11.4.2 Linear waves and instabilities in weakly coupled dusty plasmas
- •11.4.3 Waves in strongly coupled dusty plasmas
- •11.4.4 Experimental investigation of wave phenomena in dusty plasmas
- •11.5 New directions in experimental research
- •11.5.1 Investigations of dusty plasmas under microgravity conditions
- •11.5.2 External perturbations
- •11.5.3 Dusty plasma of strongly asymmetric particles
- •11.5.4 Dusty plasma at cryogenic temperatures
- •11.5.5 Possible applications of dusty plasmas
- •11.6 Conclusions
- •References
- •Index
METALLIZATION OF DIELECTRICS |
363 |
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σ, ohm-1cm-1 |
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102 |
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100 |
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10-2 |
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1 |
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2 |
10-4 |
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3 |
|
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|
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4 |
10-6 |
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5 |
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6 |
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7 |
10-8 |
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0 |
20 |
40 |
60 |
80 100 |
p, GPa |
Fig. 9.20. Electric conductivity of water versus pressure. 1–5, Yakushev et al. (2000); 6,
Mitchell and Nellis (1982); 7, Hamann and Linton (1966).
potentials.
Figure 9.20 summarizes the experimental results on the electrical conductivity of water. It can be seen that starting from 30 GPa the conductivity depends weakly on pressure and saturates at approximately 150 ohm−1cm−1. Following Hamann and Linton (1966), this can be attributed to the complete dissociation of water. In electrochemical experiments, galvanic cells having electrodes of various metals and water as the electrolyte were subjected to dynamic compression. The characteristics of the recorded e.m.f. of these cells, along with the fact that the measured conductivity is far from a typical metallic value, indicate that the high electrical conductivity of highly compressed water is of an ionic nature.
9.3.7Dielectrization of metals
The conventional point of view in solid states physics is that the structural phase transitions occur in a solid as the density and pressure increase, thus causing it to form a close–packed phase with maximal coordination number. As a result, insulators become conductors and poor metals improve the metallic properties. Numerous experiments, including those discussed above, seem to support this general picture. However, modern sophisticated quantum–mechanical calculations (Neaton and Ashcroft 1999) predict much reacher and interesting behavior of matter at high pressures. For example, lithium, like other alkali metals, has long been considered as a prototype “simple” metal. At normal conditions, alkali metals have a simple bcc structure, metallic sheen and conductivity. However, theory shows that lithium under pressure transforms into an orthorhombic phase at 50 GPa. At higher pressures near 100 GPa, lithium nuclei form pairs, which
364 |
METALLIZATION OF NONIDEAL PLASMAS |
results in the formation of structures similar to condensed phases of molecular hydrogen, with the electron properties being close to the properties of semiconductors with narrow energy gap. Finally, at even higher pressures, lithium reverts to a monoatomic metal.
In experiments carried out in diamond anvil cells to a pressure of 60 GPa (Struzhkin et al. 1999; Mori and Ruo 1999) it was found that the metallic sheen of lithium disappears under compression – it becomes gray and then black (i.e., strongly absorbing) at p = 50 GPa. Recent X–ray di raction studies carried out at pressures up to 50 GPa by Hanfland et al. (2000) have also revealed a sequence of structural transitions. According to these measurements, near 39 GPa lithium transforms from a high–pressure fcc phase through an intermediate rhombohedral phase to a complex bcc phase with 16 atoms per cell. Calculations performed by Hanfland et al. (2000) predicted high stability of this phase up to pressures of about 165 GPa.
In experiments by Fortov et al. (1999b, 2001), direct measurements of electrical resistivity of compressed lithium revealed anomalous behavior of its electrophysical properties. Lithium was compressed in multistep shock experiments up to a pressure of 210 GPa and density of 2.3 g cm−3. The data obtained by Fortov et al. (2001) are shown in Fig. 9.21 in the form of normalized resistivity ρ/ρ293 as a function of density. As one can see, the resistivity increases monotonically with density for all experiments corresponding to a maximum pressure of 100 GPa at initial temperatures of 77 K and 293 K. The data obtained at higher pressures (160 and 212 GPa) yield the same dependence in the investigated density range up to 1.75 g cm−3. At higher densities of 2.0–2.3 g cm−3, the resistivity decreases dramatically. Lithium melts under conditions of dynamic experiment in the first or second shock at pressures below 7.3 GPa and temperatures below 530 K, depending on the intensity of the incident shock wave. The final states of dynamically compressed lithium, according to the results of 1D numerical modeling with real equation of state, correspond to the liquid state at temperatures from 955 to 2833 K. The estimated thermal contribution to the lithium resistivity is about 20–25% of the total value at the maximum density. Therefore, the main reason for the change in lithium resistivity is a decrease in the interatomic distances. One should note that the dependence of resistivity on density is similar both in the solid and liquid states. Another interesting and unusual fact is that, under conditions of dynamic experiments, liquid lithium is a poor conductor up to 160 GPa, whereas at higher pressures the resistivity is decreasing. Presumably this suggests that compressed lithium has an ordered structure which is destroyed at 160 GPa, and then lithium again becomes a “good” metal.
Recently, the existence of new phases in compressed sodium at pressures p > 130 GPa has been predicted by Neaton and Ashcroft (2001), based on the density functional method employed to calculate the atomic and electron structure. Similar to the case of lithium, the new phases are di erent from those expected for “simple” metals – they have low structural symmetry and semimetallic electron properties. The experimental confirmation of a possible transi-
