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研究生:趙汝霖
研究生(外文):Ju-Lin Chao
論文名稱:直頑火輝石之高壓相變研究
論文名稱(外文):The Phase Transition of Orthoenstatite Under High Pressure
指導教授:林志明林志明引用關係
指導教授(外文):Chih-Ming Lin
學位類別:碩士
校院名稱:國立新竹師範學院
系所名稱:數理研究所
學門:數學及統計學門
學類:數學學類
論文種類:學術論文
論文出版年:2002
畢業學年度:90
語文別:中文
論文頁數:80
中文關鍵詞:直頑火輝石鋰釩鉬酸鹽助熔劑法同步輻射能量擴散分析法
外文關鍵詞:OrthoenstatiteLithiumvanadomolybdate flux methodSynchrotron radiationEnergy-dispersive analysis
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我們藉鋰釩鉬酸鹽助熔劑法(lithiumvanadomolybdate flux method)製備實驗樣品直頑火輝石(orthoenstatite,MgSiO3),並利用美國康乃爾大學CHESS的B1實驗室進行同步輻射X光能量擴散分析法(Energy-dispersive analysis),分析直頑火輝石常溫高壓下的相變情形。
實驗中我們對直頑火輝石樣品加壓至21.4 GPa,發現超過8 GPa時X-ray繞射峰發生變化,且於10 GPa左右有晶面間距-壓力圖斜率改變的情形,推論相變壓力應在10 GPa左右,而直頑火輝石之晶格參數與晶胞體積隨壓力變化的關係式如下:
相變前(0 ~ 10 GPa):
a(Å)= 18.23 — 0.0446 P(GPa)+ 0.00186 P2
b(Å)= 8.831 — 0.0567 P(GPa)+ 0.00215 P2
c(Å)= 5.224 — 0.0032 P(GPa)— 0.00061 P2
V(Å3) = 840.907 — 7.306 P(GPa)+ 0.1293 P2
V/V0 = 1.00 — 0.0087 P(GPa)+ 0.00015 P2

The phase transformation of a synthetic orthoenstatite (MgSiO3) has been studied by X-ray energy dispersive analysis at room temperature and up to 21.4 GPa. The sample was synthesized using the lithiumvanadomolybdate flux method. The synchrotron radiation from B1 laboratory of CHESS in Cornell University was used as the X-ray source.
It is found that some diffraction lines of orthoenstatite disappeared at pressure above 8 GPa, and then followed by a change in the slopes of all d-spacing — Pressure (or energy - Pressure) plots at 10 GPa. This observation suggests that a phase transition in orthoenstatite has taken place under compression. The pressure dependences of lattice parameters and unit cell volume for orthoenstatite can be described as follow :
For orthoenstatite(0 ~ 10 GPa):
a(Å)= 18.23 — 0.0446 P(GPa)+ 0.00186 P2
b(Å)= 8.831 — 0.0567 P(GPa)+ 0.00215 P2
c(Å)= 5.224 — 0.0032 P(GPa)— 0.00061 P2
V(Å3) = 840.907 — 7.306 P(GPa)+ 0.1293 P2
V/V0 = 1.00 — 0.0087 P(GPa)+ 0.00015 P2

目錄
中文摘要………………………………………………………………..Ⅰ
英文摘要………………………………………………………………..Ⅱ
謝誌……………………………………………………………………..Ⅲ
目錄……………………………………………………………….…….Ⅳ
表目錄………………………………………………………..…………Ⅵ
圖目錄…………………………………………………………………..Ⅶ
第一章 緒論………………………………………………….….….1
1.1 前人研究…………………………………………………………1
1.2 研究目的…………………………………………………………12
第二章 實驗方法………………………………………………….…14
2.1 鑽石高壓砧技術…………………………………………………14
2.1.1 鑽石高壓砧結構和原理……………………………………14
2.1.2 鑽石壓砧平行度調整………………………………………18
2.1.3 樣品腔的獲得………………………………………………19
2.1.4 壓力的量測…………………………………………………21
2.1.5 傳壓介質……………………………………………………21
2.1.6 裝入樣品……………………………………………………22
2.1.7 壓力值及樣品信號量測及加壓……………………………22
2.2 同步輻射 X-ray 光譜技術……………………………….……23
2.2.1 X光繞射原理…………………………………………….…23
2.2.2 能量擴散分析法…….………………………………….…24
2.3 樣品的製備與分析………………………………………………25
2.3.1 樣品的製備…………………………………………………25
2.3.2 樣品的分析…………………………………………………26
第三章 實驗結果……………………………………………..…….30
3.1 加壓後orthoenstatite繞射圖譜………………………………30
3.2 加壓後的晶面間距變化情形……………………………………39
3.3 加壓後晶格參數與體積的變化情形……………………………43
第四章 討論……………………………………………………….…50
4.1 繞射峰之探討……………………….……………………….…58
4.2 Pbca→ high-P C2/c?…………………………...………….58
4.3 晶格參數與體積之探討…………………………………………60
4.4 相變的可逆性……………………………………………………60
第五章 結論……………………………………………………….…64
第六章 後續工作………………………………………………….…66
參考文獻……………………………………………………………..…67

英文部分
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Boyd F. R., England J. L. and Brian T. C. Davis (1964) Effect of pressure on the melting and polymorphism of enstatite, MgSiO3. J. Geophys. Res. 69, 2101.
Boysen H., Frey F., Schrader H. and Eckold G. (1991) On the proto- to ortho-/clino enstatite phase transformation: Single crystal X-ray and inelastic neutron investigation. Phys. Chem. Minerals 17, 629.
Chopelas A. (1999) Estimates of mantle relevant Clapeyron slopes in the MgSiO3 system from high-pressure spectroscopic data. Am. Mineralogist 84, 233.
Chopelas A. and Boehler R. (1992) Raman spectroscopy of high pressure MgSiO3 phases synthesized in a CO2 laser heated diamond anvil cell: Perovskite and clinopyroxene in high-pressure research: Application to earth and planetary sciences (eds. Y. Syono and M. H. Manghnani), pp. 101. Terra Scientific, Tokyo.
Dean C. Presnall, Yi-Hua Weng, Cheney S. Milholland, Michael J. Walter (1998) Liquidus phase reations in the system MgO-MgSiO3 at pressure up to 25 GPa — constrains on crystallization of a molten Hadean mantle. Physics of the Earth and Planetary Interiors 107, 83.
Gasparik T. (1989) Transformation of enstatite — diopside — jadeite pyroxenes to garnet. Contrib. Mineral. Petrol. 102, 389.
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Kanzaki (1991) Ortho/clinoenstatite transition. Phys. Chem. Minerals 17, 726.
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Liu L. G. (1979) Phase transformation and the constitution of the deep mantle, In the earth : Its origin, structure and evolution, 117.
Liu L. G. and Bassett W. A. (1986) Elements, Oxides and Silicates : High-pressure phase with implications for the earth’s interior. Oxford University Press Inc., Oxford.
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Mielcarek W. (1984) The condition of protoenstatite — to — clinoenstatite phase transformation. Conf. Appl. Crystallogr., [Proc.] 11th (Vol. 2), 547.
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Pacalo R. E. G. and Gasparik T. (1990) Reversals of the orthoenstatite — clinoenstatite transition at high pressure and high temperature. J. Geophys. Res. 95B, 15853.
Schrader H., Boysen H., Frey F. and Convert P. (1990) On the phase transformation proto- to clino- /orthoenstatite : Neutron Powder Inverstigation.
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325.
Smith J. V. (1969) Mineralogical Society of American, Spec. Paper 2, 3.
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中文部分
余樹楨著, 晶體之結構與性質, 渤海堂文化公司印行, 中華民國85年.
林志明, 超高壓技術簡介─應用於半導體相變研究, 物理雙月刊二十卷五期, P.600, 中華民國八十七年十月.

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