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  • 1
    Online Resource
    Online Resource
    San Diego :Elsevier,
    Keywords: Electronic books.
    Type of Medium: Online Resource
    Pages: 1 online resource (441 pages)
    Edition: 1st ed.
    ISBN: 9780128099827
    Language: English
    Note: Front Cover -- Measurements, Mechanisms, and Models of Heat Transport -- Copyright Page -- Contents -- Preface -- 1 The Macroscopic Picture of Heat Retained and Heat Emitted: Thermodynamics and its Historical Development -- 1.1 Energy and the First Law of Thermodynamics -- 1.1.1 Conversion of Mass to Energy -- 1.1.2 Temperature Differs from Heat -- 1.1.3 Volume, Pressure, and the Equation of State -- 1.1.4 Heat Capacity, Enthalpy, and Latent Heat -- 1.1.5 Types of Work -- 1.1.6 Understanding Frictional Heating Requires the First Law -- 1.2 Entropy and More Laws of Thermodynamics -- 1.2.1 Reversibility, Thermal Equilibrium, and the Zeroth Law -- 1.2.2 Isothermal vs Adiabatic -- 1.2.3 Entropy Defined -- 1.2.3.1 Heat Transfer Between Two Bodies and the Second Law -- 1.2.3.2 Simple Cooling and the Second Law -- 1.2.4 Entropy, Heat, and the Third Law -- 1.2.5 State Functions, Variables, and Interrelationships -- 1.2.5.1 Interrelationships of Thermodynamic Properties and Data Needed to Address Problems -- 1.2.5.2 The Relationship of Isentropic to Adiabatic Processes -- 1.2.6 Compression and Expansion of an Ideal Gas -- 1.2.7 Is the Third Law Complete? -- 1.3 The Relationship of Light and Heat -- 1.3.1 Studies Beyond the Rainbow in the 1800s -- 1.3.2 Characterization of Emitted Light -- 1.3.3 Connection of Blackbody Radiation to Temperature -- 1.3.4 Radiation and Thermodynamic Laws -- 1.3.5 Ballistic vs Diffusive Transfer -- 1.3.6 Momentum and Pressure of Light -- 1.4 Summary -- References -- 2 Macroscopic Analysis of the Flow of Energy Into and Through Matter From Spectroscopic Measurements and Electromagnetic Theory -- 2.1 Properties and Movement of Light in Space or Very Dilute Gas -- 2.1.1 Speed of Light in Highly Dilute Media -- 2.1.2 Direction in Highly Dilute Media -- 2.1.3 Spectral Regions and Wave Characteristics -- 2.1.4 Intensity. , 2.2 What Happens When Light Encounters Matter or a Surface? -- 2.2.1 Macroscopic Description for Light Crossing Matter -- 2.2.1.1 Absorption versus Transmission -- 2.2.1.2 Absorption and Momentum -- 2.2.2 Other Variables Representing Interaction of Light With a Material -- 2.2.3 Wave Optics -- 2.2.3.1 Diffraction and Interference -- 2.2.3.2 Polarization and the Transverse Nature of Light -- 2.3 Spectroscopic Instrumentation -- 2.4 Probing Matter Through Absorption Spectroscopy -- 2.4.1 Spectra of Gas, Absorbance, and Ballistic Conditions -- 2.4.2 Spectra of Liquids, Attenuation, Mean Free Path, and Optically Thin Conditions -- 2.4.3 Spectra of Electrically Insulating Solids and Optically Thick Conditions -- 2.4.4 Effects of Frequency, Polarization, Temperature, and Pressure on Spectra -- 2.4.5 The Mean Free Path and Ballistic versus Diffusive Behavior -- 2.5 Reflection Spectra -- 2.5.1 Experimental Methods and Data Analysis -- 2.5.2 Examples of Reflection Spectra -- 2.6 Escape of Interior Produced Emissions -- 2.6.1 Theory of Emissions From Nonopaque Media -- 2.6.2 Emission Results Under Optically Thin Conditions at Various Temperatures -- 2.6.3 Emission Spectra Under Optically Thick Conditions -- References -- Websites -- 3 The Macroscopic Picture of Diffusive Heat Flow at Low Energy -- 3.1 Fourier's Macroscopic Model of Heat Transfer -- 3.1.1 Key Findings of Fourier's Predecessors -- 3.1.2 How Fourier Visualized Heat Transfer -- 3.1.3 Fourier's Mathematical Model of Heat Diffusion -- 3.2 Dimensional Analysis, Lumped Factors, and the Meaning of Fourier's Heat Equations -- 3.2.1 Dimensional Analysis of the Heat Equation -- 3.2.2 The Flux Equation and Ambiguities in Thermal Conductivity -- 3.2.3 The Meanings of Thermal Diffusivity and Thermal Conductivity -- 3.3 Heat Flow and the Thermodynamic Framework -- 3.3.1 Thermal Equilibrium. , 3.3.2 Steady-State -- 3.3.3 Transient Conditions -- 3.3.4 Comparison With Fick's Equations Reveals the Importance of Space -- 3.4 Errors Stemming From Equating Electrical Flow with Heat Flow -- 3.5 Sum Rules for Heat Flow That Conserve Energy -- 3.5.1 Transport of Heat in Parallel -- 3.5.1.1 Case 1 -- 3.5.1.2 Case 2 -- 3.5.1.3 Case 3 -- 3.5.1.4 Case 4 -- 3.5.2 Importance of Heat Capacity -- 3.5.3 Transport of Heat in Series -- References -- 4 Methods Used to Determine Heat Transport and Related Properties, With Comparisons -- 4.1 Overview -- 4.1.1 Synopsis of Key Methods for Measuring Heat Transport -- 4.1.2 A Brief Discussion of Topics not Covered -- 4.2 The Transitory Method of Laser-Flash Analysis -- 4.2.1 Principles and Essentials -- 4.2.1.1 The Basic, Adiabatic Model -- 4.2.1.2 Advantages of LFA -- 4.2.1.3 Departures From Adiabatic Conditions and Instantaneous Pulses -- 4.2.2 Effects of Radiative and Electronic Transport Process on T-t Curves -- 4.2.3 Details on LFA Experiments -- 4.2.4 Further Information on Commonly Used Thermal Models -- 4.2.4.1 Pulse Corrections -- 4.2.4.2 Cowan's Model for Heat Losses From the Surfaces -- 4.2.4.3 Cape and Lehman's Two-Dimensional Model -- 4.2.4.4 Models Addressing Internal Radiative Transfer -- 4.2.4.5 Models of Layered Substances -- 4.3 Periodic Methods -- 4.3.1 Angstrom's Method and Its Modifications -- 4.3.2 AC Hot Wire, Hot Strip, and Needle Point Methods -- 4.3.3 The 3ω Method -- 4.3.4 Thermoreflectance -- 4.4 Steady-State Methods -- 4.4.1 Absolute Methods -- 4.4.2 Comparative Methods -- 4.5 Comparison of Heat Transfer Data for Electrically Insulating Solids From Different Methods -- 4.5.1 Consequences of Time and Length Scale Limitations -- 4.5.2 Competing Effects of Contact Losses and Ballistic Gains -- 4.5.3 Effects of Spurious Radiative Transfer Alone. , 4.6 Methods for Measuring Transport Properties of Fluids -- 4.6.1 Thermal Conductivity and Thermal Diffusivity -- 4.6.2 Mass Diffusivity -- 4.6.3 Viscoscity -- References -- 5 Reconciling the Kinetic Theory of Gas With Gas Transport Data -- 5.1 Collisions in Monatomic Gas and Implications for Heat Transfer -- 5.1.1 Timeline of Discovery -- 5.1.2 Pseudopoint Masses and Elastic Collisions -- 5.1.3 Inelastic Collisions of Deformable Atoms Provide a Photon Gas -- 5.1.4 The Photon Gas and (Macroscopic) Thermodynamic Laws -- 5.1.5 The Internal Photon Gas and Microscopic Heat Conduction -- 5.2 The Kinetic Theory of Monatomic Gas -- 5.2.1 Previous Transport Equations for Monatomic Gas -- 5.2.2 Derivation of Transport Equations for Monatomic Gas by Conserving Energy -- 5.2.3 Transport Equations for Ideal Gas From Dimensional Analysis -- 5.2.4 Internal Energy and Translation Velocities of Monatomic Gas -- 5.2.4.1 Internal Energy of Monatomic Ideal Gas from the Virial Theorem -- 5.2.4.2 Internal Energy of Monatomic van der Waals Gas From the VT -- 5.2.5 Mean Free Paths for Collisions and Drag of Hard Spheres -- 5.2.5.1 Collision Probabilities -- 5.2.5.2 Viscous Drag -- 5.2.6 Diffusivities and Kinematic Viscosity of Monatomic Gases -- 5.2.6.1 Effect of Atoms Being Fuzzy -- 5.2.6.2 Effect of Collisions Occurring Over Non-Negligible Intervals of Time -- 5.2.6.3 Summary -- 5.3 Complications When Gas Molecules Contain Multiple Atoms -- 5.3.1 Internal Energy of Molecules From the VT -- 5.3.2 Effects of Internal Rotations and Vibrations on the Transport Properties -- 5.4 Evaluation of the Kinetic Theory With Measurements of Gas -- 5.4.1 Comparison of Kinetic Theory With Measurements of Heat Capacity -- 5.4.2 Comparison of Kinetic Theory With Transport Measurements of Gas at Constant Conditions. , 5.4.2.1 Inelastic Effects as Revealed by the Ratios of Measured Transport Properties -- 5.4.2.2 Comparison of Calculated Diffusivity to Measured Transport Properties -- 5.4.3 Implications of Temperature-Dependent Measurements on the Importance of Inelasticity to Transport -- 5.5 Summary and a New Formula -- References -- 6 Transport Behavior of Common, Pourable Liquids: Evidence for Mechanisms Other Than Collisions -- 6.1 Transport Properties Expected for Inelastic Collisions of Finite Size Atoms in Liquids -- 6.2 Measurements of Transport Properties for Pourable Liquids -- 6.3 Trends in Transport Properties of Pourable Liquids -- 6.3.1 Mass and Density Effects at Ambient Conditions -- 6.3.2 Ratios of Transport Properties at Ambient Conditions -- 6.3.3 The Temperature Dependence of Transport Properties -- 6.3.3.1 Water, With a Comparison to Ice and Steam -- 6.3.3.2 Small Molecule Liquids -- 6.3.3.3 Silicone Oils -- 6.3.3.4 Liquid Metallic Mercury -- 6.3.4 Effect of Pressure on Transport Properties -- 6.4 Mechanisms of Transport in Liquids -- References -- Websites -- 7 Thermal Diffusivity Data on Nonmetallic Crystalline Solids from Laser-Flash Analysis -- 7.1 Why is LFA essential to understand heat transport? -- 7.1.1 Synopsis of the Growing LFA Database -- 7.1.2 Organization of the Chapter, Appendices and Electronic Deposit -- 7.2 A Universal Formula for Thermal Diffusivity for Nonmetallic Samples as a Function of Temperature -- 7.3 Single-Crystal Electrical Insulators and Semi-Conductors -- 7.3.1 Thermal Diffusivity as a Function of Temperature -- 7.3.1.1 Behavior at Moderate Temperatures -- 7.3.1.2 The Complex Structures -- 7.3.1.3 The Term HT for High-Temperature Behavior -- 7.3.2 Polarization in Heat Transfer and IR Spectroscopy -- 7.3.3 Thermal Diffusivity as a Function of Sample Thickness -- 7.3.3.1 Effect of Thickness at Ambient Temperature. , 7.3.3.2 Effect of Thickness and Temperature Combined on Thermal Diffusivity.
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  • 2
    Electronic Resource
    Electronic Resource
    s.l. : American Chemical Society
    The @journal of physical chemistry 〈Washington, DC〉 96 (1992), S. 10213-10218 
    Source: ACS Legacy Archives
    Topics: Chemistry and Pharmacology , Physics
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    s.l. : American Chemical Society
    The @journal of physical chemistry 〈Washington, DC〉 91 (1987), S. 5042-5045 
    Source: ACS Legacy Archives
    Topics: Chemistry and Pharmacology , Physics
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    Springer
    Physics and chemistry of minerals 18 (1992), S. 423-432 
    ISSN: 1432-2021
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology , Geosciences , Physics
    Notes: Abstract Unpolarized infrared (IR) reflectance spectra for MgSiO3 ilmenite taken from a single-crystal and from a densly packed polycrystalline sample possessed all eight peaks mandated by symmetry between 337 and 850 cm−1. Polarizations were inferred from intensity differences between the two samples. IR peak positions differ by up to 250 cm−1 from recent calculations, but on average are within 11%. Heat capacity C p calculated from these data by using a Kieffer-type model are within the experimental uncertainty of calorimetric measurements from 170 to 700 K. Outside this range, calculated C p is probably accurate within a few percent, based on recent results for garnets. Calculated entropy is only slightly less accurate, giving S 0 (298.15 K) as 54.1 ±0.5 J/ mol-K, which is 10% lower than recent estimates based on phase equilibria. The slope of the phase boundary between ilmenite and perovskite is used to predict S 0 (298.15 K) of perovskite as 58.7 ±1.4 J/mol-K, which is 10% lower than previous values.
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    Springer
    Physics and chemistry of minerals 13 (1986), S. 215-220 
    ISSN: 1432-2021
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology , Geosciences , Physics
    Notes: Abstract High-pressure crystal structures and compressibilities have been determined by x-ray methods for MgAl2O4 spinel and its isomorph magnetite, Fe3O4. The measured bulk moduli, K, of spinel and magnetite (assuming K′=4) are 1.94±0.06 and 1.86±0.05 Mbar, respectively, in accord with previous ultrasonic determinations. The oxygen u parameter, the only variable atomic position coordinate in the spinel structure (Fd3m, Z=8), decreases with pressure in MgAl2O4, thus indicating that the magnesium tetrahedron is more compressible than the aluminum octahedron. In magnetite the u parameter is unchanged, and both tetrahedron and octahedron display the 1.9 Mbar bulk modulus characteristic of the entire crystal. This behavior contrasts with that of nickel silicate spinel (γ-Ni2SiO4), in which the u parameter increases with pressure because the silicon tetrahedron is relatively incompressible compared to the nickel octahedron.
    Type of Medium: Electronic Resource
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  • 6
    Electronic Resource
    Electronic Resource
    Springer
    Physics and chemistry of minerals 24 (1997), S. 535-546 
    ISSN: 1432-2021
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology , Geosciences , Physics
    Notes: Abstract  Polarized single-crystal infrared (IR) reflectance spectra measured for synthetic fayalite (Fe2SiO4) possess all but one of the peaks mandated by symmetry plus a few weak bands attributable to overtones. Fayalite has a band at 86 cm−1, which is below the frequency range commonly examined, suggesting that vibrational spectra of ferrous minerals may need remeasuring. B2u polarizations were also measured for natural monticellite (nearly MgCaSiO4) and synthetic Mg2Si18O4. Thin film absorption data were collected for the above species, Co2SiO4, Mn2SiO4, Mg2SiO4, (Mg1.9Fe0.1)SiO4, Mg2GeO4 and Mn2GeO4. The relationships of IR peak positions (from these data and from previous single-crystal studies) with the inverse square root of the average cation mass were used to make band assignments, to estimate the positions for missing bands, and to determine which peaks are degenerate. The pressure dependencies of monticellite IR peaks were measured and resemble those of other olivines.
    Type of Medium: Electronic Resource
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  • 7
    Electronic Resource
    Electronic Resource
    Springer
    Physics and chemistry of minerals 21 (1994), S. 78-84 
    ISSN: 1432-2021
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology , Geosciences , Physics
    Notes: Abstract Far-infrared absorbance spectra were collected from CaGeO3 with a metastable orthorhombic perovskite structure from 0 to 24.4 GPa. The absorbance data are compatible with a reflectance spectrum which was collected at ambient conditions from a polished, densely compacted polycrystal. The reflectance spectrum shows 18 IR modes from 155 to 786 cm−1. A detailed model for the density of states constructed from these new data results in accurate calculation of heat capacity and new data on entropy. Peak positions increase linearly with pressure. Mode Grüneisen parameters (ranging from 0.72–1.56) decrease almost linearly with increasing mode frequency which is consistent with deformations of the oxygen sublattice dominating the lattice vibrations. Neither discontinuous changes in the number of modes nor in these frequencies nor in band widths are observed at pressures up to 24.4 GPa. Thus, conversion to the tetragonal phase at ∼12 GPa is not indicated.
    Type of Medium: Electronic Resource
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  • 8
    Electronic Resource
    Electronic Resource
    Springer
    Physics and chemistry of minerals 23 (1996), S. 141-150 
    ISSN: 1432-2021
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology , Geosciences , Physics
    Notes: Abstract A complete solid-solution series between cubic (Pm 3 m) KMgF3 and tetragonal (I4/mcm) KCuF3 was synthesized at 730–735 °C in an inert atmosphere. X-ray powder-diffraction at room temperature shows that the transition between the cubic and tetragonal perovskite structures in the series K (Mg1−xCux) F3 occurs at x ∼ 0.6. Rietveld structure-refinements were done for selected compositions. In the cubic phase, all parameters are linear with composition up to the transition point. At the transition point, there is a strong discontinuity in the cell volume; this is strongly anisotropic with expansion along the a axes and contraction along the c axis due to a pronounced axial elongation of the (Mg, Cu) F6 octahedron that increases with increasing Cu content. The phase transition is first-order, with a discontinuity of ≈2% in the symmetry-breaking strain at xC. It is proposed that the phase transition in K (Mg, Cu) F3 is due to the onset of the cooperative Jahn-Teller effect. Compositional relationships for lattice vibrations in this solid solution were established using thin-film infrared spectroscopy. A phase transition occurring above 60 mole % KCuF3 is indicated by the appearance of one of the two modes expected for the tetragonal phase; the weaker mode is not resolved below 80 mole % KCuF3. Modes common to both structures vary smoothly and continuously across the binary; however, frequencies do not depend linearly on composition, nor is mode-softening discernable. Two-mode behaviour is observed only for the bending motion of the cubic phase, because this peak alone has non-overlapping end-member components.
    Type of Medium: Electronic Resource
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  • 9
    Electronic Resource
    Electronic Resource
    Springer
    Physics and chemistry of minerals 11 (1984), S. 213-224 
    ISSN: 1432-2021
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology , Geosciences , Physics
    Notes: Abstract Ferrous and ferric iron concentrations in feldspars with low total iron content (〈0.32 wt% total Fe) were determined from optical and electron paramagnetic resonance (EPR) spectra to better than ±15 percent of the amount present. Optical spectra indicate that Fe2+ occupies two distorted M-sites in plagioclases of intermediate structural state. The linear dependence of the Fe2+/Fe total ratio on An content demonstrates that Fe2+ substitutes for Ca (not Na) so that the number of Ca-sites is a principal factor in iron partitioning in plagioclase. EPR powder spectra show that the number of sites for Fe3+ depends on structural state rather than on plagioclase chemistry. The observed linear correspondence of EPR double-integrated intensities with optical peak areas shows that all Fe3+ is tetrahedrally coordinated in both plagioclase and disordered potassium feldspar. Microcline perthites show, in addition to tetrahedral Fe3+, a signal due to axially coordinated ferric iron, which we associate with formation of hematite inclusions.
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  • 10
    Electronic Resource
    Electronic Resource
    Springer
    Physics and chemistry of minerals 14 (1987), S. 499-513 
    ISSN: 1432-2021
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology , Geosciences , Physics
    Notes: Abstract Polarized single-crystal absorption and reflection spectra of fundamental modes in both the mid- and far-infrared are presented for microscopic crystals of forsterite and fayalite. All modes predicted by symmetry were observed for forsterite, but two B3u modes were not observed for fayalite. Consideration of previously determined frequency shifts for isotopically and chemically substituted olivines, along with symmetry analysis, produced a complete set of band assignments satisfying all constraints for forsterite. A plausible assingment was derived for fayalite by analogy. The frequency shifts from forsterite to fayalite are consistently small for bands assigned to SiO4 stretching and bending, moderate for rotations, and large for translations of M-site ions, suggesting that in olivine, SiO4 groups vibrate separately from the lattice. Allocating the bending and external modes among multiple continua in Kieffer's (1979c) model considerably improves prediction of quasiharmonic heat capacityC v and entropy for forsterite (∼1% discrepancy from 200–1000 K). The experimental entropy of fayalite is closely accounted for (1.8 to 0.1%) by summing lattice, electronic (from Burns' (1985) optical band assignment), and constant magnetic contributions above 200 K.S magnetic determined from the difference of the experimental and model lattice entropies shows inflection points at the two magnetic transition temperatures (23 and 66 K) and indicates that complete spin disorder is not achieved below 680 K.
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