1-20 OF 248 RESULTS FOR

Murnaghan's theory

Results shown limited to content with bounding coordinates.
Follow your search
Access your saved searches in your account

Would you like to receive an alert when new items match your search?
Close Modal
Sort by
Journal Article
Published: 01 July 1939
Bulletin of the Seismological Society of America (1939) 29 (3): 463–479.
...Francis Birch Abstract Murnaghan's theory of finite strain has been applied in an approximate form to a study of the density and velocity variations in a simplified model of the earth outside the core, the model consisting of two homogeneous layers, each at a uniform temperature. Following Jeffreys...
Journal Article
Journal: Geophysics
Published: 30 March 2017
Geophysics (2017) 82 (3): S247–S258.
... to model the stress distribution in and around allochthonous salt in which material properties between salt and sediment change. Our stress model is the basis for an anisotropic velocity model using Murnaghan’s theory for finite elastic deformation. This formulation, with bounds placed on the elastic...
FIGURES | View All (16)
Journal Article
Journal: The Leading Edge
Published: 01 March 2016
The Leading Edge (2016) 35 (3): 240–245.
... simulator to model the stress distribution in and around allochthonous salt where material properties between salt and sediment change. Our stress model is the basis for an anisotropic velocity model using Murnaghan's theory for finite elastic deformation. This formulation, with bounds placed on the elastic...
FIGURES | View All (11)
Journal Article
Published: 01 July 1940
Bulletin of the Seismological Society of America (1940) 30 (3): 235–250.
... Application of equations derived by Birch from Murnaghan's theory of finite strain indicates agreement with the density figures found, but it is to be noted that the rigidity of the lower portion of the earth's mantle appears to increase more slowly with increase of depth than would be consistent...
Journal Article
Journal: GSA Bulletin
Published: 01 December 1938
GSA Bulletin (1938) 49 (12_2): 1925–1927.
... Abstract Murnaghan’s theory of finite strain has been applied in an approximate form to a study of the density and velocity variations in a simplified model of the earth outside the core; the model consists of two homogeneous layers each at a uniform temperature. Following Jeffreys, the layers...
Journal Article
Published: 01 December 1973
Bulletin of the Seismological Society of America (1973) 63 (6-1): 1895–1899.
..., by the Seismological Society of America References Birch F. (1938) . The effect of pressure upon the elastic parameters of isotropic solids according to Murnaghan's theory of finite strain , J. Appl. Phys. 9 , 279 - 288...
Journal Article
Published: 01 December 2024
American Mineralogist (2024) 109 (12): 2052–2059.
... experiments combined with synchrotron X-ray diffraction and computations based on density functional theory. Upon room temperature compression, forsterite-type Mg 2 GeO 4 remains stable up to 30 GPa. At higher pressures, a phase transition to a forsterite-III type ( Cmc 2 1 ) structure was observed, which...
FIGURES | View All (11)
Journal Article
Published: 01 November 2014
American Mineralogist (2014) 99 (11-12): 2416–2423.
...-principles simulation based on density functional theory and two widely used approximations—local density approximation (LDA) and generalized gradient approximation (GGA)—to explore the crystal structure, equation of state, and elasticity of sodium bearing majorite garnet with Na 2 MgSi 5 O 12 stoichiometry...
FIGURES | View All (5)
Journal Article
Published: 01 February 2000
American Mineralogist (2000) 85 (2): 390–395.
... of pressure upon the elastic parameters of isotropic solids, according to Murnaghan’s theory of finite strain . Journal of Applied Physics , 9 , 279 – 288 . Birch , F. ( 1947 ) Finite elastic strain of cubic crystals. Physical Review , 71 , 809 – 924 . Dugdale , J.S. and MacDonald...
FIGURES | View All (5)
Journal Article
Published: 01 September 2023
American Mineralogist (2023) 108 (9): 1764–1772.
..., determined by means of synchrotron X-ray diffraction in a diamond anvil cell, is well described by a third-order Birch-Murnaghan equation of state having an isothermal bulk modulus K T0 = 166.3(15) GPa and first pressure derivative K T0 ′ = 4.46(12). Above 38 GPa, a change in the compression behavior...
FIGURES
Journal Article
Published: 01 December 2021
American Mineralogist (2021) 106 (12): 1928–1939.
...Gianfranco Ulian; Daniele Moro; Giovanni Valdrè Abstract The present investigation reports the equation of state, thermodynamic, and thermoelastic properties of type AB carbonated apatite [CAp-AB, Ca 10 (CO 3 ) B (PO 4 ) 5 (CO 3 ) A , space group P 1], as obtained from density functional theory...
FIGURES | View All (8)
Journal Article
Published: 01 August 2020
American Mineralogist (2020) 105 (8): 1212–1222.
...Gianfranco Ulian; Daniele Moro; Giovanni Valdrè Abstract In the present paper, we provide a detailed theoretical investigation on fundamental thermodynamic, thermomechanical, and electronic properties of wurtzite ZnS between 0–20 GPa and 0–2000 K, obtained by ab initio density functional theory...
FIGURES | View All (8)
Journal Article
Published: 01 June 2020
American Mineralogist (2020) 105 (6): 904–916.
...Ye Peng; Mainak Mookherjee Abstract We investigated the structure, equation of state, thermodynamics, and elastic properties of tremolite amphibole [Ca 2 Mg 5 Si 8 O 22 (OH) 2 ] up to 10 GPa and 2000 K, using first principles simulations based on density functional perturbation theory. We found...
FIGURES | View All (8)
Journal Article
Published: 01 February 2017
American Mineralogist (2017) 102 (2): 347–356.
... the density functional theory using the B3LYP functional and all-electron Gaussian-type orbitals basis sets. An atomic level description of the athermal ( T = 0 K) pressure-induced structural modification of topaz is provided. From the compression results we obtained the athermal bulk modulus ( K T0 ), its...
FIGURES | View All (4)
Journal Article
Published: 01 May 2016
American Mineralogist (2016) 101 (5): 1207–1216.
... ( x = 0, y ≈ 1) and Pg ( x = 1, y ≈ 1). This mineral series is found in the Earth’s crust and upper mantle. The series shows a wide immiscibility gap between the end-members. Density functional theory (DFT) is used to show the compression in five models of the 2 M 1 polytype Ms-Pg series to 6 GPa...
FIGURES | View All (5)
Journal Article
Published: 01 October 2015
American Mineralogist (2015) 100 (10): 2323–2329.
... GPa and 1173 K. As a complement to this experimental study, first-principle density functional theory calculations were performed up to 20 GPa at 0 K. Thermoelastic parameters for aragonite (CaCO 3 ) were derived by a least-squares fit of the experimental P-V-T data to the third-order Birch-Murnaghan...
FIGURES | View All (6)
Journal Article
Published: 01 July 2012
American Mineralogist (2012) 97 (7): 1177–1186.
...Gian Carlo Capitani; Lars Stixrude Abstract The structure of antigorite ( m = 17) has been studied by density functional theory from 0 to 30 GPa. The fourth-order Birch-Murnaghan equation of state fit of the thermally corrected LDA results yields an equilibrium volume ( V 0 = 2853.13 Å 3 ), bulk...
FIGURES | View All (12)
Journal Article
Published: 01 October 2004
Mineralogical Magazine (2004) 68 (5): 813–817.
...P. Martin; L. Vočadlo; D. Alfè; G. D. Price Abstract An investigation of the relative stabilities and equations of state of possible Fe 3 S polymorphs was conducted using first-principles pseudopotential calculations. These calculations were based on density functional theory and performed using...
FIGURES
Journal Article
Published: 01 April 2001
Mineralogical Magazine (2001) 65 (2): 181–191.
...P. Martin; G. D. Price; L. Vočadlo Abstract An investigation into the relative stabilities and equations of state of stoichiometric FeS was conducted using first-principles pseudopotential calculations. These calculations were based on density functional theory and performed using ultrasoft...
FIGURES | View All (7)
Journal Article
Published: 01 June 1966
Bulletin of the Seismological Society of America (1966) 56 (3): 725–731.
... parameters according to Murnaghan's finite strain theory , J. Appl. Phys. 9 , 279 - 290 . Gilvarry J. J. (1957) . Temperature dependent equations of state of solids , J. Appl. Phys. 28 , 1253 - 1261...