Introduction to the Physics of the Earth's Interior

Poirier, Jean

doi:10.1017/cbo9781139164467

Cited by 602 publications

(270 citation statements)

References 0 publications

Supporting

Mentioning

257

Contrasting

Order By: Relevance

“…27 The elastic moduli were then used to estimate the Debye temperature (Θ D ) using the quasi-harmonic Debye model. 11,[28][29][30] Debye temperatures for crystallographically distinct atoms, Θ D,i were calculated from isotropic atomic displacement parameters using the low-temperature approximation: 31…”

Section: Methodsmentioning

confidence: 99%

Average and Local Structure, Debye Temperature, and Structural Rigidity in Some Oxide Compounds Related to Phosphor Hosts

Denault

Brgoch

Kloß

et al. 2015

ACS Appl. Mater. Interfaces

181

121

View full text Add to dashboard Cite

The average and local structure of the oxides Ba2SiO4, BaAl2O4, SrAl2O4, and Y2SiO5 are examined to evaluate crystal rigidity in light of recent studies suggesting that highly connected and rigid structures yield the best phosphor hosts. Simultaneous momentum-space refinements of synchrotron X-ray and neutron scattering yield accurate average crystal structures, with reliable atomic displacement parameters. The Debye temperature ΘD, which has proven to be a useful proxy for structural rigidity, is extracted from the experimental atomic displacement parameters and compared with predictions from density functional theory calculations and experimental low-temperature heat capacity measurements. The role of static disorder on the measured displacement parameters, and the resulting Debye temperatures, are also analyzed using pair distribution function of total neutron scattering, as refined over varying distance ranges of the pair distribution function. The interplay between optimal bonding in the structure, structural rigidity, and correlated motion in these structures is examined, and the different contributions are delineated.

show abstract

Section: Methodsmentioning

confidence: 99%

Average and Local Structure, Debye Temperature, and Structural Rigidity in Some Oxide Compounds Related to Phosphor Hosts

Denault

Brgoch

Kloß

et al. 2015

ACS Appl. Mater. Interfaces

181

121

View full text Add to dashboard Cite

show abstract

“…The compensation rule is an empirical correlation observed for many thermallyactivated processes and in particular atomic diffusion (e.g., Poirier, 2000):…”

Section: Diffusion Data and Compensation Rulementioning

confidence: 99%

Cooling rate of chondrules in ordinary chondrites revisited by a new geospeedometer based on the compensation rule

Béjina¹,

Sautter²,

Jaoul³

2009

Physics of the Earth and Planetary Interiors

View full text Add to dashboard Cite

To cite this version:Frédéric Béjina, Violaine Sautter, Olivier Jaoul. Cooling rate of chondrules in ordinary chondrites revisited by a new geospeedometer based on the compensation rule. Physics of the Earth and Planetary Interiors, Elsevier, 2008, 172 (1-2) This is a PDF file of an unedited manuscript that has been accepted for publication. As a service to our customers we are providing this early version of the manuscript. The manuscript will undergo copyediting, typesetting, and review of the resulting proof before it is published in its final form. Please note that during the production process errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal pertain.Page 1 We test a new geospeemetry approach, based on this rule, on cooling of chondrules in chondrites, Sahara-97210 LL 3.2 and Wells LL 3.3. Greeney and Ruzicka (2004) matched Fe-Mg diffusion profiles in olivine from these chondrites with cooling rates between 200-6000 K/hr. In our geospeedometry model, the use of the compensation rule greatly reduces the uncertainties by avoiding the choice of one diffusion coefficient among many. The cooling rates we found are between 700-3600 K/hr for Sahara and 700-1600 K/hr for Wells. Finally, we discuss the influence of our analytical model parameters on our cooling rate estimates.

show abstract

“…The liquid state dominates terrestrial and planetary processes and the molecular structure of liquids controls the thermodynamic and transport properties that determine planetary evolution [1][2][3][4][5][6]. Although probes of liquid structure are, therefore, essential for understanding the liquid state it is often challenging experimentally to observe the structure at the temperatures and pressures of geophysical interest.…”

Section: Introductionmentioning

confidence: 99%

In situ diffraction studies of magnesium silicate liquids

2008

View full text Add to dashboard Cite

Primitive MgO-SiO 2 liquids dominate the early history of the Earth and Terrestrial planets. The structures of these liquids and structure-dependent properties, such as viscosity and diffusion, are considered important in the evolution of these planets, however, MgO-SiO 2 liquids are refractory and do not form glasses easily and it is difficult to measure the structure of these liquids. Container-less synthesis techniques have been used to produce glasses that range in composition from 50 to 33% SiO 2 , corresponding to the compositions of two important mantle minerals: enstatite and forsterite. The structure of these glasses has been determined using combined neutron and high-energy diffraction and show changes in the short-range order as a function of composition. These changes include a jump in Mg-O coordination number at the limit to the formation of the silicate network in forsterite composition glass. These results imply a similar change in the structure of the liquid. Accordingly, the structures of forsterite and enstatite liquids have been determined using high-energy X-rays and a specialized sample environment, a containerless levitator. The main qualitative structural differences between MgSiO 3 and Mg 2 SiO 4 glasses are also observed in the melt. Liquid MgSiO 3 is interpreted as forming a relatively 'strong' network of SiO 4 tetrahedra, whereas the Mg 2 SiO 4 liquid is ''fragile'' and dominated MgO n (n = 4, 5, 6) polyhedra and highly mobile oxygen ions. The results differ significantly from previously reported X-ray diffraction data for liquid MgSiO 3 .

show abstract

Introduction to the Physics of the Earth's Interior

Cited by 602 publications

References 0 publications

Average and Local Structure, Debye Temperature, and Structural Rigidity in Some Oxide Compounds Related to Phosphor Hosts

Average and Local Structure, Debye Temperature, and Structural Rigidity in Some Oxide Compounds Related to Phosphor Hosts

Cooling rate of chondrules in ordinary chondrites revisited by a new geospeedometer based on the compensation rule

In situ diffraction studies of magnesium silicate liquids

Contact Info

Product

Resources

About