-
摘要: 根据Grneisen物态方程、Hugoniot内能守恒方程和最新发表的铁的热物理参数,计算了-(hcp)铁和液态铁的理论Hugoniot曲线。计算的Hugoniot曲线与最新修正的铁的实验数据[J Appl Phys, 2000, 88: 5496]在总体上符合很好,并且可以细分为两个部分:在约低于200 GPa的压强区,用-铁模型的计算结果与实验结果符合很好;在约高于260 GPa的压强区,用液态铁模型的计算结果与实验数据也符合得比较好;对介于200~260 GPa之间的压强区,则归属于由-铁向液态铁转变的混合相区。这意味着铁的Hugoniot曲线在约200 GPa处出现的微小偏折是由固-液相变引起的,从而否定了Brown [Geophy Res Lett, 2001, 28: 4339]提出的它是一次由-铁向另一个未知结构的某个固相铁的相转变的见解。Abstract: A theoretical Hugoniot curve of iron has been calculated based on Grneisen equation of state and internal energy conservation consideration, using a set of optimized or thermophysical parameters and both - and liquid-iron models. This determined Hugoniot curve is well in accord with the revised Hugoniot data [J Appl Phys, 2000, 88: 5496] on the whole, and could be further divided into two parts. The first one can well describe the revised data below ~200 GPa with -phase model, while the second can approximately replicate the revised data above ~260 GPa with liquid-phase model. It is thus convinced that the range between ~200 GPa and ~260 GPa should be in solid/liquid mixed state, i. e, a small kink appearing on the revised Hugoniot at ~200 GPa is due to a solid-liquid transition, rather than a solid-solid transition at ~200 GPa that was inferred from Brown's analysis [Geophys Res Lett, 2001, 28: 4339].
-
Key words:
- iron /
- high pressure phase transition /
- equation of state
-
Birch F. Elasticity and Constitution of the Earth's Interior [J]. J Geophys Res, 1952, 20: 227- 286. Song X, Helmberger D V. Seismic Evidence for an Inner Core Transition Zone [J]. Science, 1998, 282: 924- 27. Anderson O L. The Phase Diagram of Iron and the Temperature of the Inner Core [J]. J Geomagn Geoelectr, 1993, 45: 1235-1248. Brown J M, McQueen R G. Phase Transitions, Grneisen Parameter, and Elasticity for Shocked Iron between 77 GPa and 400 GPa [J] . J Geophys Res, 1986, 91: 7485-7494. Williams Q, Jeanloz R, Bass J, et al. The Melting Curve of Iron to 250 GPa: A Constraint on Temperature at Earth's Center [J]. Science, 1987, 236: 181-183. Andrault D, Fiquet G, Charpin T, et al. Structure Analysis and Stability Field of -Iron at High p and T [J]. Am Mineral, 2000, 85: 364-371. Shen G, Mao H K, Hemley R J, et al. Melting and Crystal Structure of Iron at High Pressures and Temperatures [J]. Geophys Res Lett, 1998, 25(3): 373-376. Ma Y Z, Maddury S M, Shen G, et al. In Situ X-Ray Diffraction Studies of Iron to Earth-Core Conditions [J]. Phys Earth Planet Inter, 2004, 143: 455-467. Nguyen J H, Holmes N C. //Furnish M D, Chhabildas L C, Hixson R, et al. Shock Compression of Condensed Matter-1999 [C]. New York: AIP Melville, 2000: 81-84. Nguyen J H, Holmes N C. Melting of Iron at the Physical Conditions of the Earth's Core [J]. Nature, 2004, 427: 339-342. Huang H J, Cai C L, Bi Y, et al. Grneisen Parameter along Hugoniot and Melting Temperature of -Iron: A Thermodynamic Computational Method [J]. Chin Phys Lett, 2005, 22: 836-838. Sun Y H, Huang H J, Liu F S, et al. A Direct Comparison between Static and Dynamic Melting Temperature Determinations below 100 GPa [J]. Chin Phys Lett, 2005, 22: 2002-2004. Brown J M. The Equation of State of Iron to 450 GPa: Another High Pressure Solid Phase? [J]. Geophys Res Lett, 2001, 28: 4339-4342. Brown J M, Fritz J N, Hixson R S. Hugoniot Data for Iron [J]. J Appl Phys, 2000, 88: 5496-5498. McQueen R G, Fritz J N, Marsh S P. On the Equation of State of Stishovite [J]. J Geophys Res, 1963, 68: 2319- 2322. McQueen R C, Marsh S P, Fritz J N. Hugoniot Equation of State of Twelve Rocks [J]. J Geophys Res, 1967, 72: 4999-5036. Anderson O L, Dubrovinsky L, Saxena S K, et al. Experimental Vibrational Grneisen Ratio Values for -iron up to 330 GPa at 300 K [J]. Geophys Res Lett, 2001, 28: 399-402. Uchida T, Wang Y B, Rivers M L, et al. Stability Field and Thermal Equation of State of -Iron Determined by Synchrotron X-Ray Diffraction in a Multianvil Apparatus [J]. J Geophys Res, 2001, 106: 21799-21810. Anderson O L. The Power Balance at the Core-Mantle Boundary [J]. Phys Earth Planet Inter, 2002, 131: 1-17. Boness D A, Brown J M, McMahan A K. The Electronic Thermodynamics of Iron under Earth Core Conditions [J]. Phys Earth Planet Inter, 1986, 42: 227-240. Grover R. Liquid Metal Equation of State Based on Scaling [J]. J Chem Phys, 1971, 55: 3435. Wallace D C. Melting of Elements [J]. Proc Roy Soc Lond, 1991, 433(A): 631-661.
点击查看大图
计量
- 文章访问数: 7893
- HTML全文浏览量: 511
- PDF下载量: 889