Skip navigation
Skip navigation

In search of the mixed derivative ∂ 2 M/∂P∂T (M = G, K): joint analysis of ultrasonic data for polycrystalline pyrope from gas- and solid-medium apparatus

Gwanmesia, G D; Jackson, Ian; Liebermann, Robert

Description

Elastic wave velocities for dense (99.8% of theoretical density) isotropic polycrystalline specimens of synthetic pyrope Mg3 Al2Si3O12) were measured to 1,000 K at 300 MPa by the phase comparison method of ultrasonic interferometry in an internally heated gas-medium apparatus. The temperature derivatives of the elastic moduli [(∂Ks/∂T)P = -19.3(4); (∂G/∂T)P = -10.4(2) MPa K-1] measured in this study are consistent with previous acoustic measurements on both synthetic polycrystalline pyrope in a...[Show more]

dc.contributor.authorGwanmesia, G D
dc.contributor.authorJackson, Ian
dc.contributor.authorLiebermann, Robert
dc.date.accessioned2015-12-10T21:53:28Z
dc.identifier.issn0342-1791
dc.identifier.urihttp://hdl.handle.net/1885/38533
dc.description.abstractElastic wave velocities for dense (99.8% of theoretical density) isotropic polycrystalline specimens of synthetic pyrope Mg3 Al2Si3O12) were measured to 1,000 K at 300 MPa by the phase comparison method of ultrasonic interferometry in an internally heated gas-medium apparatus. The temperature derivatives of the elastic moduli [(∂Ks/∂T)P = -19.3(4); (∂G/∂T)P = -10.4(2) MPa K-1] measured in this study are consistent with previous acoustic measurements on both synthetic polycrystalline pyrope in a DIA-type cubic anvil apparatus (Gwanmesia et al. in Phys Earth Planet Inter 155:179-190, 2006) and on a natural single crystal by the rectangular parallelepiped resonance (RPR; Suzuki and Anderson in J Phys Earth 31:125-138, method but (∂Ks/∂T)P is significantly larger than from a Brillouin spectroscopy study of single-crystal pyrope (Sinogeikin and Bass in Phys Earth Planet Inter 203:549-555, 2002). Alternative approaches to the retrieval of mixed derivatives of the elastic moduli from joint analysis of data from this study and from the solid-medium data of Gwanmesia et al. in Phys Earth Planet Inter 155:179-190 (2006) yield ∂2G/∂P∂T = [0.07(12), 0.20(14)] × 10-3 K-1 and ∂2KS/ ∂P∂T = [-0.20(24), 0.22(26)] × 10-3 K-1, both of order 10-4 K-1 and not significantly different from zero. More robust inference of the mixed derivatives will require solid-medium acoustic measurements of precision significantly better than 1%.
dc.publisherSpringer
dc.sourcePhysics and Chemistry of Minerals
dc.subjectKeywords: Data reduction; Elastic moduli; Elastic waves; Polycrystalline materials; Ultrasonic applications; Mixed derivatives; Pyrope; Ultrasonic interferometry; Garnets; crystallinity; crystallography; elastic modulus; elastic wave; pyrope; spectroscopy; ultrason Elasticity; Gas-medium apparatus; Mixed derivative; Polycrystalline; Pyrope
dc.titleIn search of the mixed derivative ∂ 2 M/∂P∂T (M = G, K): joint analysis of ultrasonic data for polycrystalline pyrope from gas- and solid-medium apparatus
dc.typeJournal article
local.description.notesImported from ARIES
local.identifier.citationvolume34
dc.date.issued2007
local.identifier.absfor040499 - Geophysics not elsewhere classified
local.identifier.ariespublicationu9503261xPUB162
local.type.statusPublished Version
local.contributor.affiliationGwanmesia, G D, Delaware State University
local.contributor.affiliationJackson, Ian, College of Physical and Mathematical Sciences, ANU
local.contributor.affiliationLiebermann, Robert, Stony Brook University
local.description.embargo2037-12-31
local.bibliographicCitation.startpage85
local.bibliographicCitation.lastpage93
local.identifier.doi10.1007/s00269-006-0130-x
dc.date.updated2015-12-09T07:18:31Z
local.identifier.scopusID2-s2.0-33847381097
CollectionsANU Research Publications

Download

File Description SizeFormat Image
01_Gwanmesia_In_search_of_the_mixed_2007.pdf243.31 kBAdobe PDFThumbnail


Items in Open Research are protected by copyright, with all rights reserved, unless otherwise indicated.

Updated:  19 May 2020/ Responsible Officer:  University Librarian/ Page Contact:  Library Systems & Web Coordinator