Béjina, F., Bystricky, M., Tercé, N., Whitaker, M. L., and Chen, H.:
Bulk modulus of Fe-rich olivines corrected for non-hydrostaticity, C.
R. Geosci., 351, 86–94,
https://doi.org/10.1016/j.crte.2018.06.002, 2019.
a,
b,
c,
d,
e,
f,
g,
h,
i,
j,
k
Bertka, C. M. and Fei, Y.: Mineralogy of the Martian interior up to
core-mantle boundary pressures, J. Geophys. Res., 102, 5251–5264,
https://doi.org/10.1029/96JB03270, 1997.
a,
b,
c
Brown, J. M.: The NaCl pressure standard, J. Appl. Phys., 86, 5801–5808,
https://doi.org/10.1063/1.371596, 1999.
a,
b,
c,
d,
e
Chen, J., Li, L., Yu, T., Long, H., Weidner, D., Wang, L., and Vaughan, M.: Do
Reuss and Voigt bounds really bound in high-pressure rheology experiments?,
J. Phys., 18, S1049–S1059,
https://doi.org/10.1088/0953-8984/18/25/S11,
2006.
a
Cottaar, S., Heister, T., Rose, I., and Unterborn, C.: BurnMan: A lower mantle
mineral physics toolkit, Geochem. Geophy. Geosy., 15, 1164–1179,
https://doi.org/10.1002/2013GC005122, 2014.
a,
b,
c,
d
Couvy, H., Chen, J., and Drozd, V.: Compressibility of nanocrystalline
forsterite, Phys. Chem. Miner., 37, 343–351,
https://doi.org/10.1007/s00269-009-0337-8, 2010.
a
Davies, G. F. and Dziewoński, A. M.: Homogeneity and constitution of the
Earth's lower mantle and outer core, Phys. Earth Planet. Int., 10, 336–343,
https://doi.org/10.1016/0031-9201(75)90060-6, 1975.
a,
b,
c,
d,
e,
f
Fei, Y.: Thermal Expansion, in: Mineral Physics & Crystallography: A
Handbook of Physical Constants, edited by: Ahrens, T. J., AGU,
Washington, DC, 29–44,
https://doi.org/10.1029/RF002p0029, 1995.
a
Graham, E. K., Schwab, J. A., Sopkin, S. M., and Takei, H.: The pressure and
temperature dependence of the elastic properties of single-crystal Fayalite
Fe
2SiO
4, Phys. Chem. Miner., 16, 186–198,
https://doi.org/10.1007/BF00203203, 1988.
a,
b,
c,
d
Guignard, J., Bystricky, M., and Béjina, F.: Dense fine-grained aggregates
prepared by spark plasma sintering (SPS), an original technique in
experimental petrology, Eur. J. Mineral., 23, 323–331,
https://doi.org/10.1127/0935-1221/2011/0023-2099, 2011.
a
Hazen, R., Yang, H., and Prewitt, C.: High-pressure crystal chemistry of
Fe3+-wadsleyite,
β-
Fe2.33Si0.67O4, Am. Mineral., 85,
778–783,
https://doi.org/10.2138/am-2000-5-618, 2000.
a
Hillert, M., Selleby, M., and Sundman, B.: A Reassessment of the
Non-Stoichiometry of Fayalite, Phys. Chem. Miner., 23, 387–390,
https://doi.org/10.1007/BF00199504, 1996.
a
Isaak, D. G., Graham, E. K., Bass, J. D., and Wang, H.: The elastic properties
of single-crystal fayalite as determined by dynamical measurement
techniques, Pure Appl. Geophys., 141, 393–414,
https://doi.org/10.1007/BF00998337,
1993.
a
Krischer, L., Megies, T., Barsch, R., Beyreuther, M., Lecocq, T., Caudron, C.,
and Wassermann, J.: ObsPy: a bridge for seismology into the scientific
Python ecosystem, Comput. Sci. Discov., 8, 014003,
https://doi.org/10.1088/1749-4699/8/1/014003, 2015.
a
Kroll, H., Kirfel, A., Heinemann, R., and Barbier, B.: Volume thermal
expansion and related thermophysical parameters in the Mg,Fe olivine
solid-solution series, Eur. J. Mineral., 24, 935–956,
https://doi.org/10.1127/0935-1221/2012/0024-2235, 2012.
a,
b
Kudoh, Y. and Takeda, H.: Single crystal X-ray diffraction
study on the bond compressibility of Fayalite, Fe2SiO4 and
Rutile, TiO2 under high pressure, Physica B+C, 139–140,
333–336, https://doi.org/10.1016/0378-4363(86)90591-7,
1986.
Kung, J., Li, B., Weidner, D., Zhang, J., and Liebermann, R.: Elasticity of
(Mg0.83,Fe0.17)O ferropericlase at high pressure:
ultrasonic measurements in conjunction with X-radiation techniques, Earth
Planet. Sc. Lett., 203, 557–566,
https://doi.org/10.1016/S0012-821X(02)00838-5, 2002.
a,
b,
c,
d,
e,
f
Li, B. and Zhang, J.: Pressure and temperature dependence of elastic wave
velocity of MgSiO
3 perovskite and the composition of the lower mantle,
Phys. Earth Planet. Int., 151, 143–154,
https://doi.org/10.1016/j.pepi.2005.02.004,
2005.
a
Li, B., Kung, J., and Liebermann, R. C.: Modern techniques in measuring
elasticity of Earth materials at high pressure and high temperature using
ultrasonic interferometry in conjunction with synchrotron X-radiation in
multi-anvil apparatus, Phys. Earth Planet. Int., 143-144, 559–574,
https://doi.org/10.1016/j.pepi.2003.09.020, 2004.
a
Liu, Q., Liu, W., Whitaker, M. L., Wang, L., and Li, B.: In situ ultrasonic
velocity measurements across the olivine-spinel transformation in
Fe
2SiO
4, Am. Mineral., 95, 1000–1005,
https://doi.org/10.2138/am.2010.3369,
2010.
a,
b
Liu, W., Kung, J., and Li, B.: Elasticity of San Carlos olivine to 8 GPa and
1073 K, Geophys. Res. Lett., 32, L16301,
https://doi.org/10.1029/2005GL023453, 2005.
a
Lognonne, P., Banerdt, W. B., Giardini, D., Pike, W. T., TS10
Christensen, U., Laudet, P., de Raucourt, S., Zweifel, P.,
Calcutt, S., Bierwirth, M., Hurst, K. J., Ijpelaan, F.,
Umland, J. W., Llorca-Cejudo, R., Larson, S. A., Garcia, R.
F., Kedar, S., Knapmeyer-Endrun, B., Mimoun, D., Mocquet,
A., Panning, M. P., Weber, R. C., Sylvestre-Baron, A.,
Pont, G., Verdier, N., Kerjean, L., Facto, L. J.,
Gharakanian, V., Feldman, J. E., Hoffman, T. L., Klein, D.
B., Klein, K., Onufer, N. P., Paredes-Garcia, J., Petkov,
M. P., Willis, J. R., Smrekar, S. E., Drilleau, M., Gabsi,
T., Nebut, T., Robert, O., Tillier, S., Moreau, C., Parise,
M., Aveni, G., Ben Charef, S., Bennour, Y., Camus, T.,
Dandonneau, P. A., Desfoux, C., Lecomte, B., Pot, O.,
Revuz, P., Mance, D., tenPierick, J., Bowles, N. E.,
Charalambous, C., Delahunty, A. K., Hurley, J., Irshad, R.,
Liu, Huafeng, Mukherjee, A. G., Standley, I. M., Stott, A.
E., Temple, J., Warren, T., Eberhardt, M., Kramer, A.,
Kühne, W., Miettinen, E. P., Monecke, M., Aicardi, C.,
André, M., Baroukh, J., Borrien, A., Bouisset, A., Boutte,
P., Brethomé, K., Brysbaert, C., Carlier, T., Deleuze, M.,
Desmarres, J. M., Dilhan, D., Doucet, C., Faye, D., Faye-
Refalo, N., Gonzalez, R., Imbert, C., Larigauderie, C.,
Locatelli, E., Luno, L., Meyer, J. R., Mialhe, F., Mouret,
J. M., Nonon, M., Pahn, Y., Paillet, A., Pasquier, P.,
Perez, G., Pérez, R., Perrin, L., Pouilloux, B., Rosak, A.,
de Larclause, I. Savin, Sicre, J., Sodki, M., Toulemont,
N., Vella, B., Yana, C., Alibay, F., Avalos, O. M., Balzer,
M. A., Bhandari, P., Blanco, E., Bone, B. D., Bousman, J.
C., Bruneau, P., Calef, F. J., Calvet, R. J., D’Agostino, S. A., de los Santos, G., Deen, R. G., Denise, R. W.,
Ervin, J., Ferraro, N. W., Gengl, H. E., Grinblat, F.,
Hernandez, D., Hetzel, M., Johnson, M. E., Khachikyan, L.,
Lin, J. Y., Madzunkov, S. M., Marshall, S. L., Mikellides,
I. G., Miller, E. A., Raff, W., Singer, J. E., Sunday, C.
M., Villalvazo, J. F., Wallace, M. C., Banfield, D.,
Rodriguez-Manfredi, J. A., Russell, C. T., Trebi-Ollennu,
A., Maki, J. N., Beucler, E., Böse, M., Bonjour, C.,
Berenguer, J. L., Ceylan, S., Clinton, J., Conejero, V.,
Daubar, I., Dehant, V., Delage, P., Euchner, F., Estève,
I., Fayon, L., Ferraioli, L., Johnson, C. L., Gagnepain-
Beyneix, J., Golombek, M., Khan, A., Kawamura, T., Kenda,
B., Labrot, P., Murdoch, N., Pardo, C., Perrin, C., Pou,
L., Sauron, A., Savoie, D., Stähler, S., Stutzmann, E.,
Teanby, N. A., Tromp, J., van Driel, M., Wieczorek, M.,
Widmer-Schnidrig, R., and Wookey, J.: SEIS: Insight's Seismic Experiment for Internal
Structure of Mars, Space Sci. Rev., 215, 12,
https://doi.org/10.1007/s11214-018-0574-6,
2019.
a
Marquardt, H., Gleason, A., Marquardt, K., Speziale, S., Miyagi, L., Neusser,
G., Wenk, H.-R., and Jeanloz, R.: Elastic properties of MgO nanocrystals and
grain boundaries at high pressures by Brillouin scattering, Phys. Rev. B,
84, 064131,
https://doi.org/10.1103/PhysRevB.84.064131, 2011.
a
McCammon, C. A. and Liu, L.-G.: The effects of pressure and temperature on
nonstoichiometric wüstite, Fe
xO: The iron-rich phase boundary, Phys.
Chem. Miner., 10, 106–113,
https://doi.org/10.1007/BF00309644, 1984.
a
Nestola, F., Pasqual, D., Smyth, J. R., Novella, D., Secco, L., Manghnani,
M. H., and Dal Negro, A.: New accurate elastic parameters for the
forsterite-fayalite solid solution, Am. Mineral., 96, 1742–1747,
https://doi.org/10.2138/am.2011.3829, 2011.
a,
b,
c,
d,
e,
f
Newville, M., Stensitzki, T., Allen, D. B., and Ingargiola, A.: LMFIT:
Non-Linear Least-Square Minimization and Curve-Fitting for Python,
Zenodo [data set],
https://doi.org/10.5281/zenodo.4516651, 2014.
a
Pamato, M. G., Nestola, F., Novella, D., Smyth, J. R., Pasqual, D., Gatta,
G. D., Alvaro, M., and Secco, L.: The High-Pressure Structural Evolution of
Olivine along the Forsterite–Fayalite Join, Minerals, 9, 790,
https://doi.org/10.3390/min9120790, 2019.
a,
b
Plymate, T. and Stout, J.: Pressure-volume-temperature behavior of fayalite
based on static compression measurements at 400
∘C, Phys. Chem.
Miner., 17, 413–420
https://doi.org/10.1007/BF00201452, 1990.
a
Priestley, K. and McKenzie, D.: The relationship between shear wave velocity,
temperature, attenuation and viscosity in the shallow part of the mantle,
Earth Planet. Sc. Lett., 381, 78–91,
https://doi.org/10.1016/j.epsl.2013.08.022, 2013.
a,
b
Richard, G. and Richet, P.: Room-temperature amorphlzation of fayalite and
high-pressure properties of Fe2SiO4 liquid, Geophys. Res. Lett., 17,
2093–2096,
https://doi.org/10.1029/GL017i012p02093, 1990.
a
Singh, A., Balasingh, C., Mao, H.-K., Hemley, R., and Shu, J.: Analysis of
lattice strains measured under nonhydrostatic pressure, J. Appl. Phys., 83,
7567–7575,
https://doi.org/10.1063/1.367872, 1998.
a,
b,
c,
d,
e,
f
Smyth, J. R.: High temperature crystal chemistry of Fayalite, Am. Mineral.,
60, 1092–1097, 1975. a
Spetzler, H., Sammis, C. G., and O'Connell, R. J.: Equation of state of
NaCl: Ultrasonic measurements to 8 kbar and 800
∘C and
static lattice theory, J. Phys. Chem. Solids, 33, 1727–1750,
https://doi.org/10.1016/S0022-3697(72)80468-2, 1972.
a
Speziale, S., Duffy, T. S., and Angel, R. J.: Single-crystal elasticity of
fayalite to 12 GPa, J. Geophys. Res., 109, B12202,
https://doi.org/10.1029/2004JB003162,
2004.
a,
b
Stackhouse, S., Stixrude, L., and Karki, B.: Determination of the
high-pressure properties of fayalite from first-principles calculations,
Earth Planet. Sc. Lett., 289, 449–456,
https://doi.org/10.1016/j.epsl.2009.11.033, 2010.
a
Stähler, S. C., Khan, A., Banerdt, W. B., Lognonné, P., Giardini, D.,
and Ceylan, S., Drilleau,
M., Duran, A. C., Garcia, R. F., Huang,
Q., Kim, D., Lekic, V., Samuel, H.,
Schimmel, M., Schmerr, N., Sollberger, D.,
Stutzmann, É., Xu, Z., Antonangeli, D.,
Charalambous, C., Davis, P. M., Irving, J.
C. E., Kawamura, T., Knapmeyer, M., Maguire, R.,
Marusiak, A. G., Panning, M. P., Perrin, C.,
Plesa, A.-C., Rivoldini, A., Schmelzbach,
C., Zenhäusern, G., Beucler, É., Clinton,
J., Dahmen, N., van Driel, M., Gudkova, T.,
Horleston, A., Pike, W. T., Plasman, M., and
Smrekar, S. E.: Seismic Detection of the Martian Core, Science, 373,
443–448,
https://doi.org/10.1126/science.abi7730, 2021.
a
Stixrude, L. and Lithgow-Bertelloni, C.: Thermodynamics of mantle minerals
– II. Phase equilibria, Geophys. J. Int., 184, 1180–1213,
https://doi.org/10.1111/j.1365-246X.2010.04890.x, 2011.
a,
b,
c,
d
Strässle, T., Klotz, S., Kunc, K., Pomjakushin, V., and White, J. S.:
Equation of state of lead from high-pressure neutron diffraction up to 8.9
GPa and its implication for the NaCl pressure scale, Phys. Rev. B, 90,
014101,
https://doi.org/10.1103/PhysRevB.90.014101, 2014.
a,
b
Sumino, Y.: The elastic constants of Mn
2SiO
4, Fe
2SiO
4 and
Co
2SiO
4, and the elastic properties of olivine group minerals at
high temperature, J. Phys. Earth, 27, 209–238,
https://doi.org/10.4294/jpe1952.27.209, 1979.
a
Weidner, D. J., Vaughan, M. T., Wang, L., Long, H., Li, L., Dixon, N. A., and
Durham, W. B.: Precise stress measurements with white synchrotron x rays,
Rev. Sci. Instrum., 81, 013903,
https://doi.org/10.1063/1.3263760, 2010.
a,
b,
c
Whitaker, M. L., Baldwin, K. J., and Huebsch, W. R.: DIASCoPE: Directly
integrated acoustic system combined with pressure experiments – A
new method for fast acoustic velocity measurements at high pressure, Rev.
Sci. Instrum., 88, 034901,
https://doi.org/10.1063/1.4977596, 2017.
a,
b,
c,
d
Williams, Q., Knittle, E., Reichlin, R., Martin, S., and
Jeanloz, R.: Structural and electronic properties of
Fe2SiO4-Fayalite at ultrahigh pressures: Amorphization and
gap closure, J. Geophys. Res., 95, 21549–21563, https://doi.org/10.1029/JB095iB13p21549, 1990.
Yagi, T., Ida, Y., Sato, Y., and Akimoto, S.-I.: Effect of hydrostatic
pressure on the lattice parameters of Fe
2SiO
4 olivine up to 70
kbar, Phys. Earth Planet. Int., 10, 348–354,
https://doi.org/10.1016/0031-9201(75)90062-X, 1975.
a,
b
Zhang, L.: Single crystal hydrostatic compression of (Mg,
Mn, Fe, Co)2SiO4 olivines, Phys. Chem. Miner., 25, 308–312,
https://doi.org/10.1007/s002690050119, 1998.
Zhang, J. S., Hu, Y., Shelton, H., Kung, J., and Dera, P.:
Single-crystal X-ray diffraction study of Fe2SiO4 Fayalite
up to 31 GPa, Phys. Chem. Miner., 44, 171–179, https://doi.org/10.1007/s00269-016-0846-1, 2017.