Effect of Temperature on Grüneisen Parameters of Aluminum and Sodium Chloride by Rapid Compression Method
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摘要: 根据Grüneisen状态方程导出的偏导关系式γ=（KS/T）（∂T/∂p）S（其中KS是绝热体积弹性模量），采用快速增压方法结合中值定理分别在297~494 K和312~608 K温度范围内研究了铝和氯化钠的Grüneisen参数γ随温度的变化关系。在平面对顶压砧模具上设计了内加热的样品组装方式，测量了不同温度下快速增压过程中样品的温升曲线和压力变化曲线，并对温升曲线进行了温度修正，使所得结果更接近绝热压缩过程。实验结果表明：铝和氯化钠在实验温度范围内、压力分别为2.17 GPa和1.46 GPa下，其ΔT/Δp值随着温度的升高而增大；γ值随着温度的升高表现为波动的变化趋势，与温度没有明显的变化关系。
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关键词:
- Grüneisen参数 /
- 高温高压 /
- 快速增压 /
- 氯化钠 /
- 铝
Abstract: In this work, we measured the Grüneisen parameter γ of aluminum in 297-494 K under 2.17 GPa and the γ of sodium chloride in 312-608 K under 1.46 GPa, based on the Grüneisen differential equation γ=(KS/T)(∂T/∂p)S (where KS is the adiabatic elastic bulk modulus), combining the rapid compression method with the mean value theorem.A setup for internal heating was designed to produce high temperature in the sample chamber and the rapid compression on sample at different temperatures was carried out in a Bridgman anvil by a self-made rapid compression apparatus.The curves of temperature and pressure rise of the sample were recorded during rapid compression.For compensating the heat loss due to heat conduction, the temperature-rise curve was modified according to the cooling rate of the sample during the pressure-holding process.The temperature-rise curve after compensation is closer to that of adiabatic compression.It was found that for aluminum under 2.17 GPa and sodium chloride under 1.46 GPa, the ΔT/Δp increases with the increasing temperature while the Grüneisen parameters fluctuate, showing no obvious relationship with temperature in the experimental temperature range.-
Key words:
- Grüneisen parameter /
- high temperature high pressure /
- rapid compression /
- NaCl /
- Al
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图 2 室温下快速增压过程中样品铝的压力、温度随时间变化曲线(a)，以及修正前、后的温升曲线(b)；380K温度下快速增压过程中样品铝的压力、温度随时间变化曲线(c)，以及修正前、后的温升曲线(d)
Figure 2. T(t), p(t) curves of Al during rapid compression at room temperature (a) and the recorded and corrected T(t) curves (b); T(t), p(t) curves of Al during rapid compression at 380K (c) and the recorded and corrected T(t) curves (d)
图 3 样品铝及氯化钠的ΔT/Δp、γ随温度变化关系
Figure 3. Temperature dependence of ΔT/Δp and γ for Al and NaCl
图 4 室温下快速增压过程中氯化钠样品的压力、温度随时间变化曲线(a)，以及修正前、后的温升曲线(b)；488K温度下快速增压过程中氯化钠样品的压力、温度随时间变化曲线(c)，以及修正前、后的温升曲线(d)
Figure 4. T(t), p(t) curves of NaCl during rapid compression at room temperature (a) and the recorded and corrected T(t) curves (b); T(t), p(t) curves of NaCl during rapid compression at 488K (c) and the recorded and corrected T(t) curves (d)
表 1 样品铝的实验参数及γ值
Table 1. Experimental parameters and γ values of Al
No. T1/
KT2/
KTm/
KΔp/
GPapm/
GPaKS[32-33]/
GPa$ \frac{{\Delta T}}{{\Delta p}}/\left( {{\rm{K}} \cdot {\rm{GP}}{{\rm{a}}^{ - 1}}} \right)$ γ 1 287 307 297 3.27 2.30 88.16±0.21 6.12±0.14 1.82±0.05 2 331 357 344 3.68 2.17 85.25±0.20 7.07±0.16 1.75±0.04 3 380 406 393 3.68 2.00 82.04±0.20 7.07±0.16 1.48±0.04 4 391 417 404 3.64 2.10 82.04±0.20 7.14±0.16 1.45±0.04 5 443 469 456 3.49 2.23 80.24±0.19 7.45±0.17 1.31±0.03 6 479 509 494 3.46 2.19 78.23±0.19 8.67±0.20 1.37±0.03 
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表 2 样品氯化钠的实验参数及γ值
Table 2. Experimental parameters and γ value of NaCl
No. T1/
KT2/
KTm/
KΔp/
GPapm/
GPaKS[26]/
GPa$ \frac{{\Delta T}}{{\Delta p}}/\left( {{\rm{K}} \cdot {\rm{GP}}{{\rm{a}}^{ - 1}}} \right)$ γ 1 291 332 312 2.45 1.43 32.54±0.08 16.73±0.38 1.74±0.04 2 385 431 408 2.09 1.42 31.42±0.08 22.01±0.51 1.69±0.04 3 488 553 521 2.00 1.46 30.41±0.07 32.50±0.75 1.89±0.05 4 566 649 608 2.40 1.54 29.70±0.07 34.58±0.80 1.69±0.04
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