内地核物质的状态参数及其量子效应的研究
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摘要
采用与现有地震学数据一致的地核物质状态方程,计算了300K时压强-不可压缩系数的关系图,并与地核环境下PREM、PEM模型的数据加以比较;给出了内地核环境下温度-摩尔体积、温度-热压等参数的关系曲线,研究了地核物质的热学参数;应用计算所得到的热压值,借助量子统计物理的方法,列表给出了与内地核物质量子效应有关的各项参数.量子计算表明:巨大的地球自引力压强只是破坏了Fe原子的最外层和极少一部分Fe原子的次外层结构,并没有像白矮星一样使所有的核外电子发生全部的公有化.
With proper equations of state the relationship between the pressure and the isothermal bulk modulus is presented,which is compared with those data that come from PREM and PEM values.In order to know more about the property of matter in the inner earth's core we presented the relationship between the temperature and the volume,and the relationship between the temperature and the thermal pressure.In the last section we studied the matter's quantum effect in the earth's inner core with the Fermi-Dirac equation and calculated the parameters involved in the effect.All the parameters were list in table 1.From the table we draw a conclusion that the huge earth gravitation only destroyed the outmost and a few second-outmost electrons energy levels of the Fe atom,rather than destroyed all energy levels like what has been done in the white dwarf.
With proper equations of state the relationship between the pressure and the isothermal bulk modulus is presented,which is compared with those data that come from PREM and PEM values.In order to know more about the property of matter in the inner earth's core we presented the relationship between the temperature and the volume,and the relationship between the temperature and the thermal pressure.In the last section we studied the matter's quantum effect in the earth's inner core with the Fermi-Dirac equation and calculated the parameters involved in the effect.All the parameters were list in table 1.From the table we draw a conclusion that the huge earth gravitation only destroyed the outmost and a few second-outmost electrons energy levels of the Fe atom,rather than destroyed all energy levels like what has been done in the white dwarf.
引文
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[2]Stacy F D,Davis P M.High pressure equations of state with application to lower mantle and core[J].Phys.Earth Planet Int,2004,142:137～184.
[3]Stacy F D.TheK-primed approach to high pressure equations of state[J].phys.J.Int,2000,143:621～628.
[4]Stacy F D.Finite strainthermodynamics andthe Earth’s core.[J].Phys.Earth Planet Int,2001,128:179～193.
[5]陈志耕.地核物态及量子动力探讨[J].物探与化探,2002,26(4):273～279.Chen Z G.The matter status and the quantum effect in the inner earth’s core[J].Geophysical and Geochemical Explora-tion(in Chinese),2000,26(4):273～279.
[6]Shangker J,Singh B P,Srivastava S K.Volume-temperature re-lationshipfor Iorn at330GPa andthe Earth’s Core density def-icit.[J].Phys.Earth Planet Int.,2004,147:333～341.
[7]Anderson O L,Isaak D G.Another look at the core density def-icit of Earth’s outer core[J].Phys.Earth Planet Int,2002,131:19～27.
[8]Dziewonski A M,Anderson O L.Preliminary reference Earthmodel[J].Phys.Earth Planet Int,2001,25:297～365.
[9]Shangker J,Kushwah S S.Temperature dependence of ther-mal expansivity along Isobars for NaCl and MgSi O3Perovs-kites.[J].Physica,1998,245:45～51.
[10]Stacy F D,Isaak D G.An harmonicityin Mineral Physics:a Physics Interpretation[J].J.Geophys.Res,2003,108:2440～2445.
[11]Stixrude L,Wasserman E,Cohen R E.Composition and temperature of the Earth’s Inner Core[J].J.Geophys.Res,1997,102:24729～24739.
[12]赵雪平,杨宝俊.固体介质中细胞自动机有限深势阱的量子力学分析[J].地球物理学进展,2006,21(1):53～60.Zhao X P,Yang BJ.The quantum mechanics analysis onthe cellular automata finite deep potential trough model in the solid medium[J].Progress in Geophysics(in Chinese),2006,21(1):53～60.
[13]赵雪平,杨宝俊.固体介质中弹性波传播机制的细胞自动机有限深势阱模型[J].地球物理学进展,2002,17(3):390～398.Zhao X P,Yang BJ.CA’s finite deep potential trough model of the elastic wave propagational mechanismin solid medium[J].Progress in Geophysics(in Chinese),2002,17(3):390～398.
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