1994 | OriginalPaper | Chapter
The Elastic Properties of Single-crystal Fayalite as Determined by Dynamical Measurement Techniques
Authors : Donald G. Isaak, Earl K. Graham, Jay D. Bass, Hong Wang
Published in: Experimental Techniques in Mineral and Rock Physics
Publisher: Birkhäuser Basel
Included in: Professional Book Archive
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We present new elasticity measurements on single-crystal fayalite and combine our results with other data from resonance, pulse superposition interferometry, and Brillouin scattering to provide a set of recommended values for the adiabatic elastic moduli C ij and their temperature variations. We use a resonance method (RPR) with specimens that were previously investigated by pulse superposition experiments. The nine C ij of fayalite are determined from three new sets of measurements. One set of our new C ij data is over the range 300–500 K. We believe that the relatively large discrepancies found in some C ij are due in large part to specimen inhomogeneities (chemical and microstructural) coupled with differences in the way various techniques sample, rather than only systematic errors associated with experimental procedures or in the preparations of the specimens.Our recommended C ij ’s (GPa) and (∂C ij /∂T) p (GPa/K) are: ij112233445566121323C ij 26616823232.346.557949292(4)(6)(V)(0.5)(0.3)(1)(1)(8)(5)−0.051−0.041−0.043−0.0092−0.0080−0.020−0.023−0.012−0.0072 <m:math display="block"> <m:mrow> <m:msub> <m:mrow> <m:mrow><m:mo>(</m:mo> <m:mrow> <m:mfrac> <m:mrow> <m:mi>δ</m:mi><m:msub> <m:mi>C</m:mi> <m:mrow> <m:mi>i</m:mi><m:mi>j</m:mi> </m:mrow> </m:msub> </m:mrow> <m:mrow> <m:mi>δ</m:mi><m:mi>T</m:mi> </m:mrow> </m:mfrac> </m:mrow> <m:mo>)</m:mo></m:mrow> </m:mrow> <m:mi>P</m:mi> </m:msub> </m:mrow> </m:math> $$\left( {\frac{{\delta C_{ij} }} {{\delta T}}} \right)_P$$(0.001)(0.010)(0.005)(0.0010)(0.0015)(0.002)(0.004)(0.001)(0.0068)The resulting values for the isotropic bulk and shear moduli, K s and μ, and their temperature derivatives are: K s = 134(4) GPa; μ = 50.7(0.3) GPa; (∂K s /∂T) P = −0.024(0.005) GPa/K; and (∂μ/ ∂T) P = −0.013(0.001) GPa/K. An important conclusion is that K s increases as the Fe/(Fe + Mg) ratio in olivine is increased.