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Mahmoud A, Erba A, Doll K, Dovesi R. Pressure effect on elastic anisotropy of crystals fromab initiosimulations: The case of silicate garnets. J Chem Phys 2014; 140:234703. [DOI: 10.1063/1.4882699] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/30/2023] Open
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Lacivita V, Erba A, Dovesi R, D'Arco P. Elasticity of grossular–andradite solid solution: an ab initio investigation. Phys Chem Chem Phys 2014; 16:15331-8. [DOI: 10.1039/c4cp01597e] [Citation(s) in RCA: 15] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/07/2023]
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Olijnyk H, Paris E, Geiger CA, Lager GA. Compressional study of katoite [Ca3Al2(O4H4)3] and grossular garnet. ACTA ACUST UNITED AC 2012. [DOI: 10.1029/91jb01180] [Citation(s) in RCA: 42] [Impact Index Per Article: 3.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/09/2022]
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Langer K, Platonov AN, Matsyuk SS. Local mean chromium–oxygen distances in Cr3+-centered octahedra of natural grossular-uvarovite garnet solid solutions from electronic absorption spectra. Z KRIST-CRYST MATER 2009. [DOI: 10.1524/zkri.219.5.272.32743] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/24/2022]
Abstract
Abstract
The crystal field parameter 10Dq[cm⁻¹] of octahedral chromium obtained as the energy of the 4A2g → 4T2g band of Cr3+ in the electronic absorption spectra, EAS, of a series of 13 natural grossular-uvarovite garnets with compositions close to the binary join Ca3(Al1–
x
Cr
x
)2Si3O12, depend on the chromium fraction xCr of the solid solutions as
10Dq[cm⁻¹] = (–515.51 · x
Cr) + 16579 (r = 0.984)
The 10Dq[cm⁻¹]-values were evaluated in terms of local mean octahedral distances, R̅
(Cr–O), [Å]
local with the result that
R̅
(Cr–O)
local = 0.01262 · x
Cr + 1.9812 (r = 0.982) (a)
Equation (a) is in very good agreement with mean 〈Al/Cr—O〉; distances of “individual” octahedra R̅i
calculated for the case XCr(individual) = 1.00 from the distance relations obtained in X-ray structure refinements of low symmetry chromian garnets (Wildner and Andrut, 2001). The proves again, that the EAS-method to derive local 3d
N-ion–oxygen distances is reliable.
R̅
(Cr–O)
local = ƒ(x
Cr) and the corresponding R̅
i-function deviate strongly from the Vegard line of the crystal averaged function R̅
(Cr–O)
average = ƒ(x
Cr), the “virtual crystal model”. This indicates significant structural relaxation around Cr3+[6] in the garnet solid solutions studied. The relaxation coefficient calculated from the data, ∊
lim
x
Cr→0 = 0.82, is closer to ∊ = 1.0 for full relaxation, i.e. the “hard sphere model”, than to ∊ = 0.0 for absent relaxation in the “virtual crystal” model. This is proposedly related to the uptake of strain around octahedral chromium, in the large (CaO8) polyhedra interconnected with the octahedra of the grossular-uvarovite garnets.
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Schutt DL, Lesher CE. Effects of melt depletion on the density and seismic velocity of garnet and spinel lherzolite. ACTA ACUST UNITED AC 2006. [DOI: 10.1029/2003jb002950] [Citation(s) in RCA: 221] [Impact Index Per Article: 12.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/09/2022]
Affiliation(s)
- D. L. Schutt
- Department of Geology and Geophysics; University of Wyoming; Laramie Wyoming USA
| | - C. E. Lesher
- Department of Geology; University of California; Davis California USA
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Jiang F, Speziale S, Duffy TS. Single-crystal elasticity of grossular- and almandine-rich garnets to 11 GPa by Brillouin scattering. ACTA ACUST UNITED AC 2004. [DOI: 10.1029/2004jb003081] [Citation(s) in RCA: 41] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/09/2022]
Affiliation(s)
- Fuming Jiang
- Department of Geosciences; Princeton University; Princeton New Jersey USA
| | - Sergio Speziale
- Department of Geosciences; Princeton University; Princeton New Jersey USA
| | - Thomas S. Duffy
- Department of Geosciences; Princeton University; Princeton New Jersey USA
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Lee CTA. Compositional variation of density and seismic velocities in natural peridotites at STP conditions: Implications for seismic imaging of compositional heterogeneities in the upper mantle. ACTA ACUST UNITED AC 2003. [DOI: 10.1029/2003jb002413] [Citation(s) in RCA: 237] [Impact Index Per Article: 11.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/09/2022]
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Hofmeister AM. Calculation of bulk modulus and its pressure derivatives from vibrational frequencies and mode Grüneisen Parameters: Solids with cubic symmetry or one nearest-neighbor distance. ACTA ACUST UNITED AC 1991. [DOI: 10.1029/91jb01381] [Citation(s) in RCA: 29] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/09/2022]
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O'Neill B, Bass JD, Smyth JR, Vaughan MT. Elasticity of a grossular-pyrope-almandine garnet. ACTA ACUST UNITED AC 1989. [DOI: 10.1029/jb094ib12p17819] [Citation(s) in RCA: 44] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/09/2022]
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Bass JD. Elasticity of grossular and spessartite garnets by Brillouin spectroscopy. ACTA ACUST UNITED AC 1989. [DOI: 10.1029/jb094ib06p07621] [Citation(s) in RCA: 106] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/09/2022]
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Duffy TS, Anderson DL. Seismic velocities in mantle minerals and the mineralogy of the upper mantle. ACTA ACUST UNITED AC 1989. [DOI: 10.1029/jb094ib02p01895] [Citation(s) in RCA: 488] [Impact Index Per Article: 13.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/09/2022]
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