{"title":"天然锆石的热弹性特性。第1部分:非变质锆石","authors":"Marie Münchhalfen, Jürgen Schreuer","doi":"10.2138/am-2023-8986","DOIUrl":null,"url":null,"abstract":"9 The thermoelastic properties and thermal expansion of natural single-crystal zircon without detectable 10 radiation damage were determined in the temperature range between 100 K and 1650 K on five 11 samples from Cambodia, Sri Lanka, and Tanzania. Up to about 1500 K, the results are in excellent 12 agreement and fully reversible. The average adiabatic elastic stiffness coefficients at room temperature 13 in GPa are c 11 = 426.8(6), c 12 = 68.1(4), c 13 = 152.0(4), c 33 = 490.8(9), c 44 = 113.1(2) and c 66 = 49.0(1). 14 Polycrystalline averaging for the aggregate bulk and shear modulus (Voigt-Reuss-Hill average) yield K 15 = 229.3(4) GPa and G = 109.3(1) GPa. From 293 K to 1573 K, the elastic stiffnesses soften almost 16 linearly with the temperature coefficients in MPa/K: d c 11 /d T = -45.36(7), d c 12 /d T = -2.03(7), d c 13 /d T = - 17 9.59(7), d c 33 /d T = -42.85(12), d c 44 /d T = -9.60(3), and d c 66 /d T = -2.19(1). Below room temperature, the 18 behavior of the c ij is non-linear, with decreasing absolute values of the temperature coefficients. Above 19 about 1500 K, a temperature-and time-dependent irreversible elastic stiffening accompanied by an 20 increasing ultrasound dissipation was observed in all samples. These anomalies are interpreted to be the 21 consequence of increased dislocation densities.","PeriodicalId":7768,"journal":{"name":"American Mineralogist","volume":" ","pages":""},"PeriodicalIF":2.7000,"publicationDate":"2023-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Thermoelastic properties of natural zircon – Part I: Non-metamict zircon\",\"authors\":\"Marie Münchhalfen, Jürgen Schreuer\",\"doi\":\"10.2138/am-2023-8986\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"9 The thermoelastic properties and thermal expansion of natural single-crystal zircon without detectable 10 radiation damage were determined in the temperature range between 100 K and 1650 K on five 11 samples from Cambodia, Sri Lanka, and Tanzania. Up to about 1500 K, the results are in excellent 12 agreement and fully reversible. The average adiabatic elastic stiffness coefficients at room temperature 13 in GPa are c 11 = 426.8(6), c 12 = 68.1(4), c 13 = 152.0(4), c 33 = 490.8(9), c 44 = 113.1(2) and c 66 = 49.0(1). 14 Polycrystalline averaging for the aggregate bulk and shear modulus (Voigt-Reuss-Hill average) yield K 15 = 229.3(4) GPa and G = 109.3(1) GPa. From 293 K to 1573 K, the elastic stiffnesses soften almost 16 linearly with the temperature coefficients in MPa/K: d c 11 /d T = -45.36(7), d c 12 /d T = -2.03(7), d c 13 /d T = - 17 9.59(7), d c 33 /d T = -42.85(12), d c 44 /d T = -9.60(3), and d c 66 /d T = -2.19(1). Below room temperature, the 18 behavior of the c ij is non-linear, with decreasing absolute values of the temperature coefficients. Above 19 about 1500 K, a temperature-and time-dependent irreversible elastic stiffening accompanied by an 20 increasing ultrasound dissipation was observed in all samples. These anomalies are interpreted to be the 21 consequence of increased dislocation densities.\",\"PeriodicalId\":7768,\"journal\":{\"name\":\"American Mineralogist\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":2.7000,\"publicationDate\":\"2023-10-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"American Mineralogist\",\"FirstCategoryId\":\"89\",\"ListUrlMain\":\"https://doi.org/10.2138/am-2023-8986\",\"RegionNum\":3,\"RegionCategory\":\"地球科学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"GEOCHEMISTRY & GEOPHYSICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"American Mineralogist","FirstCategoryId":"89","ListUrlMain":"https://doi.org/10.2138/am-2023-8986","RegionNum":3,"RegionCategory":"地球科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"GEOCHEMISTRY & GEOPHYSICS","Score":null,"Total":0}
引用次数: 0
摘要
9在柬埔寨、斯里兰卡和坦桑尼亚的5个11个样品上,在100 K至1650 K的温度范围内测定了未检测到10辐射损伤的天然单晶锆石的热弹性特性和热膨胀。高达约1500K时,结果具有良好的12一致性和完全可逆性。室温下的平均绝热弹性刚度系数13(GPa)为c 11=426.8(6),c 12=68.1(4),c 13=152.0(4)、c 33=490.8(9)、c 44=113.1(2)和c 66=49.0(1)。14骨料体积和剪切模量的多晶平均值(Voigt-Reuss-Hill平均值)得出K 15=229.3(4)GPa和G=109.3(1)GPa。从293 K到1573 K,弹性刚度几乎线性软化,温度系数以MPa/K为单位:d c 11/d T=-45.36(7),d c 12/d T=-2.03(7)、d c 13/d T=-179.59(7)和d c 33/d T=-42.85(12),d c 44/d T=-9.60(3)和d c 66/d T=-2.19(1)。在室温下,c ij的18行为是非线性的,随着温度系数的绝对值的减小。在19至1500K以上,在所有样品中观察到温度和时间依赖的不可逆弹性硬化,伴随着20增加的超声耗散。这些异常现象被解释为位错密度增加的21个结果。
Thermoelastic properties of natural zircon – Part I: Non-metamict zircon
9 The thermoelastic properties and thermal expansion of natural single-crystal zircon without detectable 10 radiation damage were determined in the temperature range between 100 K and 1650 K on five 11 samples from Cambodia, Sri Lanka, and Tanzania. Up to about 1500 K, the results are in excellent 12 agreement and fully reversible. The average adiabatic elastic stiffness coefficients at room temperature 13 in GPa are c 11 = 426.8(6), c 12 = 68.1(4), c 13 = 152.0(4), c 33 = 490.8(9), c 44 = 113.1(2) and c 66 = 49.0(1). 14 Polycrystalline averaging for the aggregate bulk and shear modulus (Voigt-Reuss-Hill average) yield K 15 = 229.3(4) GPa and G = 109.3(1) GPa. From 293 K to 1573 K, the elastic stiffnesses soften almost 16 linearly with the temperature coefficients in MPa/K: d c 11 /d T = -45.36(7), d c 12 /d T = -2.03(7), d c 13 /d T = - 17 9.59(7), d c 33 /d T = -42.85(12), d c 44 /d T = -9.60(3), and d c 66 /d T = -2.19(1). Below room temperature, the 18 behavior of the c ij is non-linear, with decreasing absolute values of the temperature coefficients. Above 19 about 1500 K, a temperature-and time-dependent irreversible elastic stiffening accompanied by an 20 increasing ultrasound dissipation was observed in all samples. These anomalies are interpreted to be the 21 consequence of increased dislocation densities.
期刊介绍:
American Mineralogist: Journal of Earth and Planetary Materials (Am Min), is the flagship journal of the Mineralogical Society of America (MSA), continuously published since 1916. Am Min is home to some of the most important advances in the Earth Sciences. Our mission is a continuance of this heritage: to provide readers with reports on original scientific research, both fundamental and applied, with far reaching implications and far ranging appeal. Topics of interest cover all aspects of planetary evolution, and biological and atmospheric processes mediated by solid-state phenomena. These include, but are not limited to, mineralogy and crystallography, high- and low-temperature geochemistry, petrology, geofluids, bio-geochemistry, bio-mineralogy, synthetic materials of relevance to the Earth and planetary sciences, and breakthroughs in analytical methods of any of the aforementioned.