caa a22 4500 463217713 CHVBK 20180405153202.0 cr unu---uuuuu 170326e20070301xx s 000 0 eng 10.1007/s00269-006-0130-x doi (NATIONALLICENCE)springer-10.1007/s00269-006-0130-x In search of the mixed derivative ∂2 M /∂ P ∂ T ( M [Elektronische Daten] G , K ): joint analysis of ultrasonic data for polycrystalline pyrope from gas- and solid-medium apparatus [G. Gwanmesia, I. Jackson, R. Liebermann] Elastic wave velocities for dense (99.8% of theoretical density) isotropic polycrystalline specimens of synthetic pyrope (Mg3Al2Si3O12) were measured to 1,000K at 300MPa 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)MPaK−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, 1983) 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 ∂2 G/∂P∂T=[0.07(12), 0.20(14)]×10−3K−1 and ∂2 K S /∂P∂T=[−0.20(24), 0.22(26)]×10−3K−1, both of order 10−4K−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%. Springer-Verlag, 2006 Pyrope nationallicence Polycrystalline nationallicence Elasticity nationallicence Mixed derivative nationallicence Gas-medium apparatus nationallicence Gwanmesia G. Department of Physics and Pre-Engineering, Delaware State University, 19901, Dover, DE, USA aut Jackson I. Research School of Earth Sciences, Australian National University, ACT 0200, Canberra, Australia aut Liebermann R. Department of Geosciences, Stony Brook University, 11794, Stony Brook, NY, USA aut Physics and Chemistry of Minerals Springer-Verlag 34/2(2007-03-01), 85-93 0342-1791 34:2<85 2007 34 269 https://doi.org/10.1007/s00269-006-0130-x text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00269-006-0130-x text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Gwanmesia G. Department of Physics and Pre-Engineering, Delaware State University, 19901, Dover, DE, USA aut NATIONALLICENCE 700 1- Jackson I. Research School of Earth Sciences, Australian National University, ACT 0200, Canberra, Australia aut NATIONALLICENCE 700 1- Liebermann R. Department of Geosciences, Stony Brook University, 11794, Stony Brook, NY, USA aut NATIONALLICENCE 773 0- Physics and Chemistry of Minerals Springer-Verlag 34/2(2007-03-01), 85-93 0342-1791 34:2<85 2007 34 269 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer