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The Effect of Zr-Doping and Crystallite Size on the Mechanical ...

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C<strong>on</strong>tent<br />

C<strong>on</strong>tent<br />

Zusammenfassung ............................................................................................................ 4<br />

Summary........................................................................................................................... 8<br />

I. Introducti<strong>on</strong> ................................................................................................................. 12<br />

1. TiO2 <str<strong>on</strong>g>and</str<strong>on</strong>g> <str<strong>on</strong>g>Zr</str<strong>on</strong>g>O2 Polymorphs .................................................................................... 12<br />

1.1. Polymorphs <str<strong>on</strong>g>of</str<strong>on</strong>g> Titania ..................................................................................... 12<br />

1.2. Polymorphs <str<strong>on</strong>g>of</str<strong>on</strong>g> Zirc<strong>on</strong>ia................................................................................... 15<br />

1.3. Energetics <str<strong>on</strong>g>of</str<strong>on</strong>g> Nanocrystalline <str<strong>on</strong>g>Zr</str<strong>on</strong>g>O2 <str<strong>on</strong>g>and</str<strong>on</strong>g> TiO2 Phases ..................................... 16<br />

2. TiO2-<str<strong>on</strong>g>Zr</str<strong>on</strong>g>O2 Phase Diagram...................................................................................... 19<br />

3. Technical Applicati<strong>on</strong>s........................................................................................... 21<br />

4. Tuning <str<strong>on</strong>g>of</str<strong>on</strong>g> Elastic Properties ................................................................................... 23<br />

5. Computati<strong>on</strong>al Work .............................................................................................. 27<br />

6. Motivati<strong>on</strong> <str<strong>on</strong>g>and</str<strong>on</strong>g> Outline........................................................................................... 29<br />

II. Methods <str<strong>on</strong>g>and</str<strong>on</strong>g> Instrumentati<strong>on</strong> .................................................................................... 30<br />

1. High Pressure Experimental Techniques................................................................ 30<br />

1.1. Hydro<strong>the</strong>rmal Experiments ............................................................................. 31<br />

1.2. Pist<strong>on</strong> Cylinder Technique .............................................................................. 32<br />

1.3. Multi Anvil Technique .................................................................................... 34<br />

1.4. Diam<strong>on</strong>d Anvil Cell ........................................................................................ 36<br />

2. Analytical Methods ................................................................................................ 38<br />

2.1. Powder X-Ray Diffracti<strong>on</strong> .............................................................................. 38<br />

2.2. X-Ray Absorpti<strong>on</strong> Spectroscopy..................................................................... 40<br />

2.3. Raman Spectroscopy ....................................................................................... 41<br />

2.4. Electr<strong>on</strong> Microprobe........................................................................................ 41<br />

2.5. Transmissi<strong>on</strong> Electr<strong>on</strong> Microscopy................................................................. 42<br />

3. Ab-initio Calculati<strong>on</strong>s ............................................................................................ 43<br />

4. Compressing Materials: Equati<strong>on</strong> <str<strong>on</strong>g>of</str<strong>on</strong>g> State ............................................................. 44<br />

III. Results <str<strong>on</strong>g>and</str<strong>on</strong>g> Discussi<strong>on</strong> ............................................................................................. 46<br />

1. Syn<strong>the</strong>sis <str<strong>on</strong>g>and</str<strong>on</strong>g> Characterizati<strong>on</strong> <str<strong>on</strong>g>of</str<strong>on</strong>g> Starting Materials............................................. 46<br />

1.1. Sol-Gel Syn<strong>the</strong>sis <str<strong>on</strong>g>of</str<strong>on</strong>g> TiO2-<str<strong>on</strong>g>Zr</str<strong>on</strong>g>O2 Powders ....................................................... 46<br />

1.2. Syn<strong>the</strong>sis <str<strong>on</strong>g>of</str<strong>on</strong>g> Microscale Anatase <str<strong>on</strong>g>and</str<strong>on</strong>g> Nanoscale Rutile Ti0.9<str<strong>on</strong>g>Zr</str<strong>on</strong>g>0.1O2 .............. 55<br />

2. Experimental Results <strong>on</strong> <strong>the</strong> System TiO2-<str<strong>on</strong>g>Zr</str<strong>on</strong>g>O2 to 10 GPa ................................... 57<br />

3. Compressi<strong>on</strong> Behavior <str<strong>on</strong>g>of</str<strong>on</strong>g> Anatase <str<strong>on</strong>g>and</str<strong>on</strong>g> Rutile........................................................ 60<br />

3.1. Compressi<strong>on</strong> Behavior <str<strong>on</strong>g>of</str<strong>on</strong>g> <str<strong>on</strong>g>Zr</str<strong>on</strong>g>-doped Anatase .................................................. 61<br />

3.2. Compressi<strong>on</strong> Behavior <str<strong>on</strong>g>of</str<strong>on</strong>g> TiO2 Nanoscale Rutile........................................... 75<br />

3.3. Compressi<strong>on</strong> behavior <str<strong>on</strong>g>of</str<strong>on</strong>g> <str<strong>on</strong>g>Zr</str<strong>on</strong>g>-doped microscale rutile ..................................... 77<br />

4. Pressure Induced Transformati<strong>on</strong>s <str<strong>on</strong>g>of</str<strong>on</strong>g> Anatase <str<strong>on</strong>g>and</str<strong>on</strong>g> Rutile...................................... 80<br />

4.1. Multi Anvil Experiments <strong>on</strong> Phase Transiti<strong>on</strong> <str<strong>on</strong>g>of</str<strong>on</strong>g> Anatase <str<strong>on</strong>g>and</str<strong>on</strong>g> Rutile to TiO2II<br />

................................................................................................................................ 80<br />

4.2. DAC Experiments <strong>on</strong> Phase Transiti<strong>on</strong>s <str<strong>on</strong>g>of</str<strong>on</strong>g> <str<strong>on</strong>g>Zr</str<strong>on</strong>g>-doped Anatase ....................... 84<br />

4.3. DAC Experiments <strong>on</strong> Phase Transiti<strong>on</strong>s <str<strong>on</strong>g>of</str<strong>on</strong>g> Rutile .......................................... 86<br />

5. Computati<strong>on</strong>al Ground States <str<strong>on</strong>g>of</str<strong>on</strong>g> TiO2 ................................................................... 90<br />

IV. C<strong>on</strong>clusi<strong>on</strong>s .............................................................................................................. 96<br />

Acknowledgments ........................................................................................................ 101<br />

Bibliography ................................................................................................................. 102<br />

Erklärung ...................................................................................................................... 115<br />

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