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Sound velocities and elastic constants of ZnAl (sub 2) O (sub 4) spinel and implications for spinel-elasticity systematics

Hans J. Reichmann and Steven D. Jacobsen
Sound velocities and elastic constants of ZnAl (sub 2) O (sub 4) spinel and implications for spinel-elasticity systematics
American Mineralogist (July 2006) 91 (7): 1049-1054

Abstract

The pressure dependence of the sound velocities, single-crystal elastic constants, and shear and adiabatic bulk moduli of a natural gahnite (ZnAl (sub 2) O (sub 4) ) spinel have been determined to approximately 9 GPa by gigahertz ultrasonic interferometry in a diamond anvil cell. The elastic constants of gahnite are (in GPa): C (sub 11) = 290(3), C (sub 12) = 169(4), and C (sub 44) = 146(2). The elastic constants C (sub 11) and C (sub 12) have similar pressure derivatives of 4.48(10) and 5.0(8), while the pressure derivative of C (sub 44) is 1.47(3). In contrast to magnetite, gahnite does not exhibit C (sub 44) mode softening over the experimental pressure range. The adiabatic bulk modulus K (sub S0) is 209(5) GPa, with pressure derivative K' (sub S) = 4.8(3), and the shear modulus G (sub 0) = 104(3) GPa, with G' = 0.5(2). Gahnite, along with chromite (FeCr (sub 2) O (sub 4) ) and hercynite (FeAl (sub 2) O (sub 4) ) are the least compressible of the naturally occurring oxide spinels. Evaluation of Birch's Law for isostructural minerals indicates that spinels containing transition metals on both the (super [4]) A and (super [6]) B sites follow a trend about five times more negative than oxide and silicate-spinel phases without any, or only one transition metal.


ISSN: 0003-004X
EISSN: 1945-3027
Coden: AMMIAY
Serial Title: American Mineralogist
Serial Volume: 91
Serial Issue: 7
Title: Sound velocities and elastic constants of ZnAl (sub 2) O (sub 4) spinel and implications for spinel-elasticity systematics
Affiliation: Geoforschungszentrum Potsdam, Potsdam, Federal Republic of Germany
Pages: 1049-1054
Published: 200607
Text Language: English
Publisher: Mineralogical Society of America, Washington, DC, United States
References: 34
Accession Number: 2006-064687
Categories: General geophysics
Document Type: Serial
Bibliographic Level: Analytic
Illustration Description: illus. incl. 3 tables
Secondary Affiliation: Carnegie Institution of Washington, USA, United States
Country of Publication: United States
Secondary Affiliation: GeoRef, Copyright 2017, American Geosciences Institute. Abstract, copyright, Mineralogical Society of America. Reference includes data from GeoScienceWorld, Alexandria, VA, United States
Update Code: 200637
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