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Published: 01 March 2012
Fig. 3.4 Variation of enthalpy, H , and free energy, G , with temperature for the solid and liquid phases of a pure metal. L , latent heat of melting. T m, equilibrium melting temperature. Adapted from Ref 3.1 More
Image
Published: 30 April 2020
Fig. 3.19 Differential scanning calorimetry data used to measure heat capacity, in this case for a wax blend, showing a broad melting event. The integral of the curve is the basis for calculating the melting enthalpy. Source: Gebelin et al. ( Ref 4 ) More
Image
Published: 01 March 2012
Fig. 12.8 Schematic diagram showing (a) enthalpy vs. temperature for a pure metal, and (b) DTA signal for melting (bottom) and freezing (top). Adapted from Ref 12.4 More
Book Chapter

Series: ASM Technical Books
Publisher: ASM International
Published: 01 December 2008
DOI: 10.31399/asm.tb.tm.t52320013
EISBN: 978-1-62708-357-7
..., because C V ≈ 3 R as mentioned in Section 2.3 but α 2 V /β ≈ 10 –3 J/K –2 · mol in Eq 2.14 , the difference between C P and C V is only about 10% even at temperatures near the melting point. Enthalpy of Transformation When a substance is heated or cooled, transformations...
Book Chapter

Series: ASM Technical Books
Publisher: ASM International
Published: 01 April 2004
DOI: 10.31399/asm.tb.ps.t62440243
EISBN: 978-1-62708-352-2
... force gauss (alternate cgs-emu system) Gibbs free energy enthalpy heat-affected zone acceleration due to gravity height of solder cap dissolution rate constant stress concentration factor Boltzman constant represents a metal in a reaction microelectromechanical system multi-chip modules parts per...
Book Chapter

Series: ASM Technical Books
Publisher: ASM International
Published: 01 March 2012
DOI: 10.31399/asm.tb.pdub.t53420239
EISBN: 978-1-62708-310-2
..., in the case of a binary system, if the overall specimen composition does not vary during a heating process, a phase transition results in a slope change on the TA curve and a thermal spike on the corresponding DTA curve. A schematic of enthalpy versus temperature and the associated DTA curves for melting...
Book Chapter

Series: ASM Technical Books
Publisher: ASM International
Published: 01 March 2012
DOI: 10.31399/asm.tb.pdub.t53420041
EISBN: 978-1-62708-310-2
... in equilibrium. Therefore, T m is the equilibrium melting temperature at the pressure concerned. Fig. 3.4 Variation of enthalpy, H , and free energy, G , with temperature for the solid and liquid phases of a pure metal. L , latent heat of melting. T m, equilibrium melting temperature. Adapted from...
Book Chapter

Series: ASM Technical Books
Publisher: ASM International
Published: 01 December 2008
DOI: 10.31399/asm.tb.tm.t52320055
EISBN: 978-1-62708-357-7
... 3.1.1 The Ways of Mixing of Atoms and Molecules A lot of materials have been developed by melting and mixing different kinds of material. These materials made by “mixing” are divided roughly into three kinds: the solution, the mixture, and the compound ( Fig. 3.1 ). Fig. 3.1 Basic styles...
Book Chapter

Series: ASM Technical Books
Publisher: ASM International
Published: 01 December 2008
DOI: 10.31399/asm.tb.tm.t52320197
EISBN: 978-1-62708-357-7
... a disordered state is chaotic, entropy S is large and enthalpy H is high. However, S is small and H is low in an ordered state. As a result, the value of free energy G = H ≈ TS is lower in a disordered state at high temperature and in an ordered state at low temperature, so the change in state...
Book Chapter

Series: ASM Technical Books
Publisher: ASM International
Published: 01 June 2008
DOI: 10.31399/asm.tb.emea.t52240053
EISBN: 978-1-62708-251-8
... (K), and S is entropy, a measure of the randomness of the system. Solving for F , the Helmholtz free energy, can be expressed as: (Eq 4.2) F = E − T S A related free energy is the Gibbs free energy, which is defined as: (Eq 4.3) G = H − T S where H is enthalpy...
Book Chapter

Series: ASM Technical Books
Publisher: ASM International
Published: 30 September 2024
DOI: 10.31399/asm.tb.pmamfa.t59400391
EISBN: 978-1-62708-479-6
... calorimetry EBM electron beam melting EDS energy-dispersive spectroscopy EELS electron energy loss spectroscopy EPU elastomeric polyurethane ESEM environmental scanning electron microscopy fcc face-centered cubic FCTS flying car transport system FDM fused deposition modeling...
Book Chapter

Series: ASM Technical Books
Publisher: ASM International
Published: 01 October 2011
DOI: 10.31399/asm.tb.mnm2.t53060013
EISBN: 978-1-62708-261-7
... of equilibrium phase diagrams, the role of enthalpy and Gibb’s free energy in chemical reactions, and a method for determining phase compositions along the solidus and liquidus lines. atomic diffusion body-centered cubic systems crystal defects equilibrium phase diagram face-centered cubic systems...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 December 2016
DOI: 10.31399/asm.tb.ascaam.9781627082969
EISBN: 978-1-62708-296-9
Book Chapter

Series: ASM Technical Books
Publisher: ASM International
Published: 01 December 2003
DOI: 10.31399/asm.tb.cfap.t69780295
EISBN: 978-1-62708-281-5
... can lead to drastic or sometimes subtle changes in physical properties. Although aging is often characterized by monitoring changes in excess enthalpy and entropy, these measurements do not necessarily directly correlate with changes in physical properties. Aging temperature ranges have been...
Series: ASM Technical Books
Publisher: ASM International
Published: 01 December 2016
DOI: 10.31399/asm.tb.ascaam.t59190173
EISBN: 978-1-62708-296-9
... nucleation driving force Δ H , L m enthalpy, latent solidification heat Δ S m entropy of melting Δ T undercooling Δ T F actual undercooling of the eutectic crystallization front α sJ coefficient of the roughness of the crystallization front, S-L interface according to Jackson...
Book Chapter

Series: ASM Technical Books
Publisher: ASM International
Published: 30 April 2020
DOI: 10.31399/asm.tb.bpapp.t59290035
EISBN: 978-1-62708-319-5
... intended to provide strength during the first stage of binder removal. Backbone ingredients usually melt at temperatures typically over 150 °C (300 °F) and cleanly decompose during heating to the sintering temperature. Common examples are polyethylene, polypropylene, ethylene vinyl acetate, and polystyrene...
Series: ASM Technical Books
Publisher: ASM International
Published: 30 September 2024
DOI: 10.31399/asm.tb.pmamfa.t59400191
EISBN: 978-1-62708-479-6
... the use of the PM principle even before the 19th century, when technology was not developed to melt high-melting-point elements. A versatile, robust, and cost-effective fabrication technique for producing various materials, including those that are challenging by casting routes, PM involves the production...
Book Chapter

Series: ASM Technical Books
Publisher: ASM International
Published: 01 March 2012
DOI: 10.31399/asm.tb.pdub.t53420015
EISBN: 978-1-62708-310-2
... and vapor areas of the diagram in Fig. 2.2 gives the vapor pressure of the liquid metal as a function of temperature, so the corresponding line for the solid gives the vapor pressure of the solid. It is significant that a solid metal need not melt on being heated. For example, if magnesium is held...
Book Chapter

By Alfred Goldberg
Series: ASM Technical Books
Publisher: ASM International
Published: 01 July 2009
DOI: 10.31399/asm.tb.bcp.t52230027
EISBN: 978-1-62708-298-3
... coefficient of thermal expansion crystal structure enthalpy heat capacity nuclear properties physical properties thermal conductivity thermal diffusivity vapor pressure 4.1 Introduction This chapter is divided into five subsections: atomic/crystal structure, elastic properties, thermal...
Book Chapter

Series: ASM Technical Books
Publisher: ASM International
Published: 01 January 2015
DOI: 10.31399/asm.tb.spsp2.t54410039
EISBN: 978-1-62708-265-5
... energy ( G ) per unit volume of a phase or combination of phases is defined in terms of other thermodynamic parameters, enthalpy or heat content ( H ), the absolute temperature ( T ), and entropy ( S ) as follows: (Eq. 4.4) G = H − T S Enthalpy is the total energy of a phase...