极端条件下氧化铝的熔融和传输特性

IF 3.7 2区 物理与天体物理 Q1 Physics and Astronomy
Maitrayee Ghosh, S. X. Hu, Eric Blackman, Terry-Ann Suer, Shuai Zhang
{"title":"极端条件下氧化铝的熔融和传输特性","authors":"Maitrayee Ghosh, S. X. Hu, Eric Blackman, Terry-Ann Suer, Shuai Zhang","doi":"10.1103/physrevb.110.174107","DOIUrl":null,"url":null,"abstract":"The high-pressure temperature phase diagram and transport properties of materials are of broad interest to planetary sciences and high-energy-density sciences and applications. Alumina <mjx-container ctxtmenu_counter=\"133\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"><mjx-math data-semantic-structure=\"(10 0 (9 (3 1 2) 8 (6 4 5)) 7)\"><mjx-mrow data-semantic-children=\"9\" data-semantic-content=\"0,7\" data-semantic- data-semantic-owns=\"0 9 7\" data-semantic-role=\"leftright\" data-semantic-speech=\"left parenthesis upper A l 2 normal upper O 3 right parenthesis\" data-semantic-type=\"fenced\"><mjx-mo data-semantic- data-semantic-operator=\"fenced\" data-semantic-parent=\"10\" data-semantic-role=\"open\" data-semantic-type=\"fence\" style=\"vertical-align: -0.02em;\"><mjx-c>(</mjx-c></mjx-mo><mjx-mrow data-semantic-added=\"true\" data-semantic-annotation=\"clearspeak:unit\" data-semantic-children=\"3,6\" data-semantic-content=\"8\" data-semantic- data-semantic-owns=\"3 8 6\" data-semantic-parent=\"10\" data-semantic-role=\"implicit\" data-semantic-type=\"infixop\"><mjx-msub data-semantic-children=\"1,2\" data-semantic- data-semantic-owns=\"1 2\" data-semantic-parent=\"9\" data-semantic-role=\"unknown\" data-semantic-type=\"subscript\"><mjx-mi data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"3\" data-semantic-role=\"unknown\" data-semantic-type=\"identifier\"><mjx-c noic=\"true\" style=\"padding-top: 0.706em;\">A</mjx-c><mjx-c style=\"padding-top: 0.706em;\">l</mjx-c></mjx-mi><mjx-script style=\"vertical-align: -0.15em;\"><mjx-mn data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"3\" data-semantic-role=\"integer\" data-semantic-type=\"number\" size=\"s\"><mjx-c>2</mjx-c></mjx-mn></mjx-script></mjx-msub><mjx-mo data-semantic-added=\"true\" data-semantic- data-semantic-operator=\"infixop,⁢\" data-semantic-parent=\"9\" data-semantic-role=\"multiplication\" data-semantic-type=\"operator\"><mjx-c>⁢</mjx-c></mjx-mo><mjx-msub data-semantic-children=\"4,5\" data-semantic- data-semantic-owns=\"4 5\" data-semantic-parent=\"9\" data-semantic-role=\"latinletter\" data-semantic-type=\"subscript\" space=\"2\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"6\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\"><mjx-c>O</mjx-c></mjx-mi><mjx-script style=\"vertical-align: -0.15em;\"><mjx-mn data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"6\" data-semantic-role=\"integer\" data-semantic-type=\"number\" size=\"s\"><mjx-c>3</mjx-c></mjx-mn></mjx-script></mjx-msub></mjx-mrow><mjx-mo data-semantic- data-semantic-operator=\"fenced\" data-semantic-parent=\"10\" data-semantic-role=\"close\" data-semantic-type=\"fence\" style=\"vertical-align: -0.02em;\"><mjx-c>)</mjx-c></mjx-mo></mjx-mrow></mjx-math></mjx-container> or its various forms (e.g., solutions with other oxides or silicates) are important constituents in Earth's and super-Earths' mantles, common window materials in dynamic compression experiments, and standard pressure calibrators in diamond-anvil-cell experiments. Its structures and transport properties are of particular importance but have not been well studied at above 100 GPa pressures. Based on extensive first-principles molecular dynamics calculations, we obtain atomic level insights on structural differences and accurate results on electrical conductivity <mjx-container ctxtmenu_counter=\"134\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"><mjx-math data-semantic-children=\"3\" data-semantic-content=\"0,4\" data-semantic- data-semantic-owns=\"0 3 4\" data-semantic-role=\"leftright\" data-semantic-speech=\"left parenthesis sigma Subscript d c Baseline right parenthesis\" data-semantic-structure=\"(5 0 (3 1 2) 4)\" data-semantic-type=\"fenced\"><mjx-mo data-semantic- data-semantic-operator=\"fenced\" data-semantic-parent=\"5\" data-semantic-role=\"open\" data-semantic-type=\"fence\" style=\"vertical-align: -0.02em;\"><mjx-c>(</mjx-c></mjx-mo><mjx-msub data-semantic-children=\"1,2\" data-semantic- data-semantic-owns=\"1 2\" data-semantic-parent=\"5\" data-semantic-role=\"greekletter\" data-semantic-type=\"subscript\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"3\" data-semantic-role=\"greekletter\" data-semantic-type=\"identifier\"><mjx-c>𝜎</mjx-c></mjx-mi><mjx-script style=\"vertical-align: -0.15em;\"><mjx-mi data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"3\" data-semantic-role=\"unknown\" data-semantic-type=\"identifier\" size=\"s\"><mjx-c noic=\"true\" style=\"padding-top: 0.706em;\">d</mjx-c><mjx-c style=\"padding-top: 0.706em;\">c</mjx-c></mjx-mi></mjx-script></mjx-msub><mjx-mo data-semantic- data-semantic-operator=\"fenced\" data-semantic-parent=\"5\" data-semantic-role=\"close\" data-semantic-type=\"fence\" style=\"vertical-align: -0.02em;\"><mjx-c>)</mjx-c></mjx-mo></mjx-math></mjx-container>, thermal conductivity <mjx-container ctxtmenu_counter=\"135\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"><mjx-math data-semantic-children=\"1\" data-semantic-content=\"0,2\" data-semantic- data-semantic-owns=\"0 1 2\" data-semantic-role=\"leftright\" data-semantic-speech=\"left parenthesis kappa right parenthesis\" data-semantic-structure=\"(3 0 1 2)\" data-semantic-type=\"fenced\"><mjx-mo data-semantic- data-semantic-operator=\"fenced\" data-semantic-parent=\"3\" data-semantic-role=\"open\" data-semantic-type=\"fence\" style=\"vertical-align: -0.02em;\"><mjx-c>(</mjx-c></mjx-mo><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"3\" data-semantic-role=\"greekletter\" data-semantic-type=\"identifier\"><mjx-c>𝜅</mjx-c></mjx-mi><mjx-mo data-semantic- data-semantic-operator=\"fenced\" data-semantic-parent=\"3\" data-semantic-role=\"close\" data-semantic-type=\"fence\" style=\"vertical-align: -0.02em;\"><mjx-c>)</mjx-c></mjx-mo></mjx-math></mjx-container>, and reflectivity of <mjx-container ctxtmenu_counter=\"136\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"><mjx-math data-semantic-structure=\"(7 (2 0 1) 6 (5 3 4))\"><mjx-mrow data-semantic-annotation=\"clearspeak:unit\" data-semantic-children=\"2,5\" data-semantic-content=\"6\" data-semantic- data-semantic-owns=\"2 6 5\" data-semantic-role=\"implicit\" data-semantic-speech=\"upper A l 2 normal upper O 3\" data-semantic-type=\"infixop\"><mjx-msub data-semantic-children=\"0,1\" data-semantic- data-semantic-owns=\"0 1\" data-semantic-parent=\"7\" data-semantic-role=\"unknown\" data-semantic-type=\"subscript\"><mjx-mi data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"2\" data-semantic-role=\"unknown\" data-semantic-type=\"identifier\"><mjx-c noic=\"true\" style=\"padding-top: 0.706em;\">A</mjx-c><mjx-c style=\"padding-top: 0.706em;\">l</mjx-c></mjx-mi><mjx-script style=\"vertical-align: -0.15em;\"><mjx-mn data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"2\" data-semantic-role=\"integer\" data-semantic-type=\"number\" size=\"s\"><mjx-c>2</mjx-c></mjx-mn></mjx-script></mjx-msub><mjx-mo data-semantic-added=\"true\" data-semantic- data-semantic-operator=\"infixop,⁢\" data-semantic-parent=\"7\" data-semantic-role=\"multiplication\" data-semantic-type=\"operator\"><mjx-c>⁢</mjx-c></mjx-mo><mjx-msub data-semantic-children=\"3,4\" data-semantic- data-semantic-owns=\"3 4\" data-semantic-parent=\"7\" data-semantic-role=\"latinletter\" data-semantic-type=\"subscript\" space=\"2\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"5\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\"><mjx-c>O</mjx-c></mjx-mi><mjx-script style=\"vertical-align: -0.15em;\"><mjx-mn data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"5\" data-semantic-role=\"integer\" data-semantic-type=\"number\" size=\"s\"><mjx-c>3</mjx-c></mjx-mn></mjx-script></mjx-msub></mjx-mrow></mjx-math></mjx-container> in several phases at pressures of <mjx-container ctxtmenu_counter=\"137\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"><mjx-math data-semantic-structure=\"(10 6 0 (9 1 2 (8 3 7 5)))\"><mjx-mrow data-semantic-children=\"6,9\" data-semantic-content=\"0\" data-semantic- data-semantic-owns=\"6 0 9\" data-semantic-role=\"equality\" data-semantic-speech=\"tilde 130 minus 1300 upper G upper P a\" data-semantic-type=\"relseq\"><mjx-mrow data-semantic-added=\"true\" data-semantic- data-semantic-parent=\"10\" data-semantic-role=\"unknown\" data-semantic-type=\"empty\"></mjx-mrow><mjx-mo data-semantic- data-semantic-operator=\"relseq,∼\" data-semantic-parent=\"10\" data-semantic-role=\"equality\" data-semantic-type=\"relation\"><mjx-c>∼</mjx-c></mjx-mo><mjx-mrow data-semantic-added=\"true\" data-semantic-children=\"1,8\" data-semantic-content=\"2\" data-semantic- data-semantic-owns=\"1 2 8\" data-semantic-parent=\"10\" data-semantic-role=\"subtraction\" data-semantic-type=\"infixop\" space=\"4\"><mjx-mn data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"9\" data-semantic-role=\"integer\" data-semantic-type=\"number\"><mjx-c noic=\"true\" style=\"padding-top: 0.644em;\">1</mjx-c><mjx-c noic=\"true\" style=\"padding-top: 0.644em;\">3</mjx-c><mjx-c style=\"padding-top: 0.644em;\">0</mjx-c></mjx-mn><mjx-mo data-semantic- data-semantic-operator=\"infixop,−\" data-semantic-parent=\"9\" data-semantic-role=\"subtraction\" data-semantic-type=\"operator\" space=\"3\"><mjx-c>−</mjx-c></mjx-mo><mjx-mrow data-semantic-added=\"true\" data-semantic-annotation=\"clearspeak:unit\" data-semantic-children=\"3,5\" data-semantic-content=\"7\" data-semantic- data-semantic-owns=\"3 7 5\" data-semantic-parent=\"9\" data-semantic-role=\"implicit\" data-semantic-type=\"infixop\" space=\"3\"><mjx-mn data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"8\" data-semantic-role=\"integer\" data-semantic-type=\"number\"><mjx-c noic=\"true\" style=\"padding-top: 0.644em;\">1</mjx-c><mjx-c noic=\"true\" style=\"padding-top: 0.644em;\">3</mjx-c><mjx-c noic=\"true\" style=\"padding-top: 0.644em;\">0</mjx-c><mjx-c style=\"padding-top: 0.644em;\">0</mjx-c></mjx-mn><mjx-mspace data-semantic- data-semantic-operator=\"infixop,⁢\" data-semantic-parent=\"8\" data-semantic-role=\"space\" data-semantic-type=\"operator\" style=\"width: 0.16em;\"></mjx-mspace><mjx-mi data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"8\" data-semantic-role=\"unknown\" data-semantic-type=\"identifier\" space=\"2\"><mjx-c noic=\"true\" style=\"padding-top: 0.669em;\">G</mjx-c><mjx-c noic=\"true\" style=\"padding-top: 0.669em;\">P</mjx-c><mjx-c style=\"padding-top: 0.669em;\">a</mjx-c></mjx-mi></mjx-mrow></mjx-mrow></mjx-mrow></mjx-math></mjx-container> and temperatures of 4000–20 000 K. We find the solid-to-liquid state changes of <mjx-container ctxtmenu_counter=\"138\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"><mjx-math data-semantic-structure=\"(7 (2 0 1) 6 (5 3 4))\"><mjx-mrow data-semantic-annotation=\"clearspeak:unit\" data-semantic-children=\"2,5\" data-semantic-content=\"6\" data-semantic- data-semantic-owns=\"2 6 5\" data-semantic-role=\"implicit\" data-semantic-speech=\"upper A l 2 normal upper O 3\" data-semantic-type=\"infixop\"><mjx-msub data-semantic-children=\"0,1\" data-semantic- data-semantic-owns=\"0 1\" data-semantic-parent=\"7\" data-semantic-role=\"unknown\" data-semantic-type=\"subscript\"><mjx-mi data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"2\" data-semantic-role=\"unknown\" data-semantic-type=\"identifier\"><mjx-c noic=\"true\" style=\"padding-top: 0.706em;\">A</mjx-c><mjx-c style=\"padding-top: 0.706em;\">l</mjx-c></mjx-mi><mjx-script style=\"vertical-align: -0.15em;\"><mjx-mn data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"2\" data-semantic-role=\"integer\" data-semantic-type=\"number\" size=\"s\"><mjx-c>2</mjx-c></mjx-mn></mjx-script></mjx-msub><mjx-mo data-semantic-added=\"true\" data-semantic- data-semantic-operator=\"infixop,⁢\" data-semantic-parent=\"7\" data-semantic-role=\"multiplication\" data-semantic-type=\"operator\"><mjx-c>⁢</mjx-c></mjx-mo><mjx-msub data-semantic-children=\"3,4\" data-semantic- data-semantic-owns=\"3 4\" data-semantic-parent=\"7\" data-semantic-role=\"latinletter\" data-semantic-type=\"subscript\" space=\"2\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"5\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\"><mjx-c>O</mjx-c></mjx-mi><mjx-script style=\"vertical-align: -0.15em;\"><mjx-mn data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"5\" data-semantic-role=\"integer\" data-semantic-type=\"number\" size=\"s\"><mjx-c>3</mjx-c></mjx-mn></mjx-script></mjx-msub></mjx-mrow></mjx-math></mjx-container> are accompanied by an insulator-to-semimetal transition with enhanced <mjx-container ctxtmenu_counter=\"139\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"><mjx-math data-semantic-structure=\"(2 0 1)\"><mjx-msub data-semantic-children=\"0,1\" data-semantic- data-semantic-owns=\"0 1\" data-semantic-role=\"greekletter\" data-semantic-speech=\"sigma Subscript d c\" data-semantic-type=\"subscript\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"2\" data-semantic-role=\"greekletter\" data-semantic-type=\"identifier\"><mjx-c>𝜎</mjx-c></mjx-mi><mjx-script style=\"vertical-align: -0.15em;\"><mjx-mi data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"2\" data-semantic-role=\"unknown\" data-semantic-type=\"identifier\" size=\"s\"><mjx-c noic=\"true\" style=\"padding-top: 0.706em;\">d</mjx-c><mjx-c style=\"padding-top: 0.706em;\">c</mjx-c></mjx-mi></mjx-script></mjx-msub></mjx-math></mjx-container> and <mjx-container ctxtmenu_counter=\"140\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"><mjx-math data-semantic-structure=\"0\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-role=\"greekletter\" data-semantic-speech=\"kappa\" data-semantic-type=\"identifier\"><mjx-c>𝜅</mjx-c></mjx-mi></mjx-math></mjx-container>, which is similar to other silicates and oxides and can facilitate magnetic field generation in deep interiors of rocky planets. We also find the solid-to-solid transition [from <mjx-container ctxtmenu_counter=\"141\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"><mjx-math data-semantic-structure=\"(13 (2 0 1) 12 (11 (5 3 4) 10 (9 6 7 8)))\"><mjx-mrow data-semantic-annotation=\"clearspeak:unit\" data-semantic-children=\"2,11\" data-semantic-content=\"12\" data-semantic- data-semantic-owns=\"2 12 11\" data-semantic-role=\"implicit\" data-semantic-speech=\"upper R h 2 normal upper O 3 left parenthesis upper I upper I right parenthesis\" data-semantic-type=\"infixop\"><mjx-msub data-semantic-children=\"0,1\" data-semantic- data-semantic-owns=\"0 1\" data-semantic-parent=\"13\" data-semantic-role=\"unknown\" data-semantic-type=\"subscript\"><mjx-mi data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"2\" data-semantic-role=\"unknown\" data-semantic-type=\"identifier\"><mjx-c noic=\"true\" style=\"padding-top: 0.706em;\">R</mjx-c><mjx-c style=\"padding-top: 0.706em;\">h</mjx-c></mjx-mi><mjx-script style=\"vertical-align: -0.15em;\"><mjx-mn data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"2\" data-semantic-role=\"integer\" data-semantic-type=\"number\" size=\"s\"><mjx-c>2</mjx-c></mjx-mn></mjx-script></mjx-msub><mjx-mo data-semantic-added=\"true\" data-semantic- data-semantic-operator=\"infixop,⁢\" data-semantic-parent=\"13\" data-semantic-role=\"multiplication\" data-semantic-type=\"operator\"><mjx-c>⁢</mjx-c></mjx-mo><mjx-mrow data-semantic-added=\"true\" data-semantic-children=\"5,9\" data-semantic-content=\"10,3\" data-semantic- data-semantic-owns=\"5 10 9\" data-semantic-parent=\"13\" data-semantic-role=\"simple function\" data-semantic-type=\"appl\" space=\"2\"><mjx-msub data-semantic-children=\"3,4\" data-semantic- data-semantic-owns=\"3 4\" data-semantic-parent=\"11\" data-semantic-role=\"simple function\" data-semantic-type=\"subscript\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-operator=\"appl\" data-semantic-parent=\"5\" data-semantic-role=\"simple function\" data-semantic-type=\"identifier\"><mjx-c>O</mjx-c></mjx-mi><mjx-script style=\"vertical-align: -0.15em;\"><mjx-mn data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"5\" data-semantic-role=\"integer\" data-semantic-type=\"number\" size=\"s\"><mjx-c>3</mjx-c></mjx-mn></mjx-script></mjx-msub><mjx-mo data-semantic-added=\"true\" data-semantic- data-semantic-operator=\"appl\" data-semantic-parent=\"11\" data-semantic-role=\"application\" data-semantic-type=\"punctuation\"><mjx-c>⁡</mjx-c></mjx-mo><mjx-mrow data-semantic-added=\"true\" data-semantic-children=\"7\" data-semantic-content=\"6,8\" data-semantic- data-semantic-owns=\"6 7 8\" data-semantic-parent=\"11\" data-semantic-role=\"leftright\" data-semantic-type=\"fenced\" space=\"2\"><mjx-mo data-semantic- data-semantic-operator=\"fenced\" data-semantic-parent=\"9\" data-semantic-role=\"open\" data-semantic-type=\"fence\" style=\"vertical-align: -0.02em;\"><mjx-c>(</mjx-c></mjx-mo><mjx-mi data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"9\" data-semantic-role=\"unknown\" data-semantic-type=\"identifier\"><mjx-c noic=\"true\" style=\"padding-top: 0.657em;\">I</mjx-c><mjx-c style=\"padding-top: 0.657em;\">I</mjx-c></mjx-mi><mjx-mo data-semantic- data-semantic-operator=\"fenced\" data-semantic-parent=\"9\" data-semantic-role=\"close\" data-semantic-type=\"fence\" style=\"vertical-align: -0.02em;\"><mjx-c>)</mjx-c></mjx-mo></mjx-mrow></mjx-mrow></mjx-mrow></mjx-math></mjx-container> to <mjx-container ctxtmenu_counter=\"142\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"><mjx-math data-semantic-structure=\"(4 (2 0 1) 3)\"><mjx-mrow data-semantic-children=\"2,3\" data-semantic-content=\"3\" data-semantic- data-semantic-owns=\"2 3\" data-semantic-role=\"endpunct\" data-semantic-speech=\"upper C a upper I r upper O 3 right bracket\" data-semantic-type=\"punctuated\"><mjx-msub data-semantic-children=\"0,1\" data-semantic- data-semantic-owns=\"0 1\" data-semantic-parent=\"4\" data-semantic-role=\"unknown\" data-semantic-type=\"subscript\"><mjx-mi data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"2\" data-semantic-role=\"unknown\" data-semantic-type=\"identifier\"><mjx-c noic=\"true\" style=\"padding-top: 0.669em;\">C</mjx-c><mjx-c noic=\"true\" style=\"padding-top: 0.669em;\">a</mjx-c><mjx-c noic=\"true\" style=\"padding-top: 0.669em;\">I</mjx-c><mjx-c noic=\"true\" style=\"padding-top: 0.669em;\">r</mjx-c><mjx-c style=\"padding-top: 0.669em;\">O</mjx-c></mjx-mi><mjx-script style=\"vertical-align: -0.15em;\"><mjx-mn data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"2\" data-semantic-role=\"integer\" data-semantic-type=\"number\" size=\"s\"><mjx-c>3</mjx-c></mjx-mn></mjx-script></mjx-msub><mjx-mrow><mjx-mo data-semantic- data-semantic-operator=\"punctuated\" data-semantic-parent=\"4\" data-semantic-role=\"closefence\" data-semantic-type=\"punctuation\" style=\"vertical-align: -0.02em;\"><mjx-c>]</mjx-c></mjx-mo></mjx-mrow></mjx-mrow></mjx-math></mjx-container> is accompanied by negligible changes in <mjx-container ctxtmenu_counter=\"143\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"><mjx-math data-semantic-structure=\"(2 0 1)\"><mjx-msub data-semantic-children=\"0,1\" data-semantic- data-semantic-owns=\"0 1\" data-semantic-role=\"greekletter\" data-semantic-speech=\"sigma Subscript d c\" data-semantic-type=\"subscript\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"2\" data-semantic-role=\"greekletter\" data-semantic-type=\"identifier\"><mjx-c>𝜎</mjx-c></mjx-mi><mjx-script style=\"vertical-align: -0.15em;\"><mjx-mi data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"2\" data-semantic-role=\"unknown\" data-semantic-type=\"identifier\" size=\"s\"><mjx-c noic=\"true\" style=\"padding-top: 0.706em;\">d</mjx-c><mjx-c style=\"padding-top: 0.706em;\">c</mjx-c></mjx-mi></mjx-script></mjx-msub></mjx-math></mjx-container> and <mjx-container ctxtmenu_counter=\"144\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"><mjx-math data-semantic-structure=\"0\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-role=\"greekletter\" data-semantic-speech=\"kappa\" data-semantic-type=\"identifier\"><mjx-c>𝜅</mjx-c></mjx-mi></mjx-math></mjx-container> at 160 GPa, contrary to previous expectations, whereas another higher pressure phase transition (<mjx-container ctxtmenu_counter=\"145\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"><mjx-math data-semantic-structure=\"(2 0 1)\"><mjx-msub data-semantic-children=\"0,1\" data-semantic- data-semantic-owns=\"0 1\" data-semantic-role=\"unknown\" data-semantic-speech=\"upper C a upper I r upper O 3\" data-semantic-type=\"subscript\"><mjx-mi data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"2\" data-semantic-role=\"unknown\" data-semantic-type=\"identifier\"><mjx-c noic=\"true\" style=\"padding-top: 0.669em;\">C</mjx-c><mjx-c noic=\"true\" style=\"padding-top: 0.669em;\">a</mjx-c><mjx-c noic=\"true\" style=\"padding-top: 0.669em;\">I</mjx-c><mjx-c noic=\"true\" style=\"padding-top: 0.669em;\">r</mjx-c><mjx-c style=\"padding-top: 0.669em;\">O</mjx-c></mjx-mi><mjx-script style=\"vertical-align: -0.15em;\"><mjx-mn data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"2\" data-semantic-role=\"integer\" data-semantic-type=\"number\" size=\"s\"><mjx-c>3</mjx-c></mjx-mn></mjx-script></mjx-msub></mjx-math></mjx-container> to <mjx-container ctxtmenu_counter=\"146\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"><mjx-math data-semantic-structure=\"(7 (2 0 1) 6 (5 3 4))\"><mjx-mrow data-semantic-annotation=\"clearspeak:unit\" data-semantic-children=\"2,5\" data-semantic-content=\"6\" data-semantic- data-semantic-owns=\"2 6 5\" data-semantic-role=\"implicit\" data-semantic-speech=\"normal upper U 2 normal upper S 3\" data-semantic-type=\"infixop\"><mjx-msub data-semantic-children=\"0,1\" data-semantic- data-semantic-owns=\"0 1\" data-semantic-parent=\"7\" data-semantic-role=\"latinletter\" data-semantic-type=\"subscript\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"2\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\"><mjx-c>U</mjx-c></mjx-mi><mjx-script style=\"vertical-align: -0.15em;\"><mjx-mn data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"2\" data-semantic-role=\"integer\" data-semantic-type=\"number\" size=\"s\"><mjx-c>2</mjx-c></mjx-mn></mjx-script></mjx-msub><mjx-mo data-semantic-added=\"true\" data-semantic- data-semantic-operator=\"infixop,⁢\" data-semantic-parent=\"7\" data-semantic-role=\"multiplication\" data-semantic-type=\"operator\"><mjx-c>⁢</mjx-c></mjx-mo><mjx-msub data-semantic-children=\"3,4\" data-semantic- data-semantic-owns=\"3 4\" data-semantic-parent=\"7\" data-semantic-role=\"latinletter\" data-semantic-type=\"subscript\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"5\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\"><mjx-c>S</mjx-c></mjx-mi><mjx-script style=\"vertical-align: -0.15em;\"><mjx-mn data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"5\" data-semantic-role=\"integer\" data-semantic-type=\"number\" size=\"s\"><mjx-c>3</mjx-c></mjx-mn></mjx-script></mjx-msub></mjx-mrow></mjx-math></mjx-container> at 450 GPa) is associated with increases in <mjx-container ctxtmenu_counter=\"147\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"><mjx-math data-semantic-structure=\"(2 0 1)\"><mjx-msub data-semantic-children=\"0,1\" data-semantic- data-semantic-owns=\"0 1\" data-semantic-role=\"greekletter\" data-semantic-speech=\"sigma Subscript d c\" data-semantic-type=\"subscript\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"2\" data-semantic-role=\"greekletter\" data-semantic-type=\"identifier\"><mjx-c>𝜎</mjx-c></mjx-mi><mjx-script style=\"vertical-align: -0.15em;\"><mjx-mi data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"2\" data-semantic-role=\"unknown\" data-semantic-type=\"identifier\" size=\"s\"><mjx-c noic=\"true\" style=\"padding-top: 0.706em;\">d</mjx-c><mjx-c style=\"padding-top: 0.706em;\">c</mjx-c></mjx-mi></mjx-script></mjx-msub></mjx-math></mjx-container> and <mjx-container ctxtmenu_counter=\"148\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"><mjx-math data-semantic-structure=\"0\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-role=\"greekletter\" data-semantic-speech=\"kappa\" data-semantic-type=\"identifier\"><mjx-c>𝜅</mjx-c></mjx-mi></mjx-math></mjx-container>. Furthermore, we show the transport properties can be enhanced by oxygen vacancy in <mjx-container ctxtmenu_counter=\"149\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"><mjx-math data-semantic-structure=\"(7 (2 0 1) 6 (5 3 4))\"><mjx-mrow data-semantic-annotation=\"clearspeak:unit\" data-semantic-children=\"2,5\" data-semantic-content=\"6\" data-semantic- data-semantic-owns=\"2 6 5\" data-semantic-role=\"implicit\" data-semantic-speech=\"upper A l 2 normal upper O 3\" data-semantic-type=\"infixop\"><mjx-msub data-semantic-children=\"0,1\" data-semantic- data-semantic-owns=\"0 1\" data-semantic-parent=\"7\" data-semantic-role=\"unknown\" data-semantic-type=\"subscript\"><mjx-mi data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"2\" data-semantic-role=\"unknown\" data-semantic-type=\"identifier\"><mjx-c noic=\"true\" style=\"padding-top: 0.706em;\">A</mjx-c><mjx-c style=\"padding-top: 0.706em;\">l</mjx-c></mjx-mi><mjx-script style=\"vertical-align: -0.15em;\"><mjx-mn data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"2\" data-semantic-role=\"integer\" data-semantic-type=\"number\" size=\"s\"><mjx-c>2</mjx-c></mjx-mn></mjx-script></mjx-msub><mjx-mo data-semantic-added=\"true\" data-semantic- data-semantic-operator=\"infixop,⁢\" data-semantic-parent=\"7\" data-semantic-role=\"multiplication\" data-semantic-type=\"operator\"><mjx-c>⁢</mjx-c></mjx-mo><mjx-msub data-semantic-children=\"3,4\" data-semantic- data-semantic-owns=\"3 4\" data-semantic-parent=\"7\" data-semantic-role=\"latinletter\" data-semantic-type=\"subscript\" space=\"2\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"5\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\"><mjx-c>O</mjx-c></mjx-mi><mjx-script style=\"vertical-align: -0.15em;\"><mjx-mn data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"5\" data-semantic-role=\"integer\" data-semantic-type=\"number\" size=\"s\"><mjx-c>3</mjx-c></mjx-mn></mjx-script></mjx-msub></mjx-mrow></mjx-math></mjx-container>, but are not significantly affected by forming solutions with <mjx-container ctxtmenu_counter=\"150\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"><mjx-math data-semantic-structure=\"(2 0 1)\"><mjx-msub data-semantic-children=\"0,1\" data-semantic- data-semantic-owns=\"0 1\" data-semantic-role=\"unknown\" data-semantic-speech=\"upper M g upper S i upper O 3\" data-semantic-type=\"subscript\"><mjx-mi data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"2\" data-semantic-role=\"unknown\" data-semantic-type=\"identifier\"><mjx-c noic=\"true\" style=\"padding-top: 0.673em;\">M</mjx-c><mjx-c noic=\"true\" style=\"padding-top: 0.673em;\">g</mjx-c><mjx-c noic=\"true\" style=\"padding-top: 0.673em;\">S</mjx-c><mjx-c noic=\"true\" style=\"padding-top: 0.673em;\">i</mjx-c><mjx-c style=\"padding-top: 0.673em;\">O</mjx-c></mjx-mi><mjx-script style=\"vertical-align: -0.27em;\"><mjx-mn data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"2\" data-semantic-role=\"integer\" data-semantic-type=\"number\" size=\"s\"><mjx-c>3</mjx-c></mjx-mn></mjx-script></mjx-msub></mjx-math></mjx-container>, particularly when in the solid states.","PeriodicalId":20082,"journal":{"name":"Physical Review B","volume":"95 1","pages":""},"PeriodicalIF":3.7000,"publicationDate":"2024-11-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Melting and transport properties ofAl2⁢O3at extreme conditions\",\"authors\":\"Maitrayee Ghosh, S. X. Hu, Eric Blackman, Terry-Ann Suer, Shuai Zhang\",\"doi\":\"10.1103/physrevb.110.174107\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The high-pressure temperature phase diagram and transport properties of materials are of broad interest to planetary sciences and high-energy-density sciences and applications. Alumina <mjx-container ctxtmenu_counter=\\\"133\\\" ctxtmenu_oldtabindex=\\\"1\\\" jax=\\\"CHTML\\\" overflow=\\\"linebreak\\\" role=\\\"tree\\\" sre-explorer- style=\\\"font-size: 100.7%;\\\" tabindex=\\\"0\\\"><mjx-math data-semantic-structure=\\\"(10 0 (9 (3 1 2) 8 (6 4 5)) 7)\\\"><mjx-mrow data-semantic-children=\\\"9\\\" data-semantic-content=\\\"0,7\\\" data-semantic- data-semantic-owns=\\\"0 9 7\\\" data-semantic-role=\\\"leftright\\\" data-semantic-speech=\\\"left parenthesis upper A l 2 normal upper O 3 right parenthesis\\\" data-semantic-type=\\\"fenced\\\"><mjx-mo data-semantic- data-semantic-operator=\\\"fenced\\\" data-semantic-parent=\\\"10\\\" data-semantic-role=\\\"open\\\" data-semantic-type=\\\"fence\\\" style=\\\"vertical-align: -0.02em;\\\"><mjx-c>(</mjx-c></mjx-mo><mjx-mrow data-semantic-added=\\\"true\\\" data-semantic-annotation=\\\"clearspeak:unit\\\" data-semantic-children=\\\"3,6\\\" data-semantic-content=\\\"8\\\" data-semantic- data-semantic-owns=\\\"3 8 6\\\" data-semantic-parent=\\\"10\\\" data-semantic-role=\\\"implicit\\\" data-semantic-type=\\\"infixop\\\"><mjx-msub data-semantic-children=\\\"1,2\\\" data-semantic- data-semantic-owns=\\\"1 2\\\" data-semantic-parent=\\\"9\\\" data-semantic-role=\\\"unknown\\\" data-semantic-type=\\\"subscript\\\"><mjx-mi data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"3\\\" data-semantic-role=\\\"unknown\\\" data-semantic-type=\\\"identifier\\\"><mjx-c noic=\\\"true\\\" style=\\\"padding-top: 0.706em;\\\">A</mjx-c><mjx-c style=\\\"padding-top: 0.706em;\\\">l</mjx-c></mjx-mi><mjx-script style=\\\"vertical-align: -0.15em;\\\"><mjx-mn data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"3\\\" data-semantic-role=\\\"integer\\\" data-semantic-type=\\\"number\\\" size=\\\"s\\\"><mjx-c>2</mjx-c></mjx-mn></mjx-script></mjx-msub><mjx-mo data-semantic-added=\\\"true\\\" data-semantic- data-semantic-operator=\\\"infixop,⁢\\\" data-semantic-parent=\\\"9\\\" data-semantic-role=\\\"multiplication\\\" data-semantic-type=\\\"operator\\\"><mjx-c>⁢</mjx-c></mjx-mo><mjx-msub data-semantic-children=\\\"4,5\\\" data-semantic- data-semantic-owns=\\\"4 5\\\" data-semantic-parent=\\\"9\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"subscript\\\" space=\\\"2\\\"><mjx-mi data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"6\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"identifier\\\"><mjx-c>O</mjx-c></mjx-mi><mjx-script style=\\\"vertical-align: -0.15em;\\\"><mjx-mn data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"6\\\" data-semantic-role=\\\"integer\\\" data-semantic-type=\\\"number\\\" size=\\\"s\\\"><mjx-c>3</mjx-c></mjx-mn></mjx-script></mjx-msub></mjx-mrow><mjx-mo data-semantic- data-semantic-operator=\\\"fenced\\\" data-semantic-parent=\\\"10\\\" data-semantic-role=\\\"close\\\" data-semantic-type=\\\"fence\\\" style=\\\"vertical-align: -0.02em;\\\"><mjx-c>)</mjx-c></mjx-mo></mjx-mrow></mjx-math></mjx-container> or its various forms (e.g., solutions with other oxides or silicates) are important constituents in Earth's and super-Earths' mantles, common window materials in dynamic compression experiments, and standard pressure calibrators in diamond-anvil-cell experiments. Its structures and transport properties are of particular importance but have not been well studied at above 100 GPa pressures. Based on extensive first-principles molecular dynamics calculations, we obtain atomic level insights on structural differences and accurate results on electrical conductivity <mjx-container ctxtmenu_counter=\\\"134\\\" ctxtmenu_oldtabindex=\\\"1\\\" jax=\\\"CHTML\\\" overflow=\\\"linebreak\\\" role=\\\"tree\\\" sre-explorer- style=\\\"font-size: 100.7%;\\\" tabindex=\\\"0\\\"><mjx-math data-semantic-children=\\\"3\\\" data-semantic-content=\\\"0,4\\\" data-semantic- data-semantic-owns=\\\"0 3 4\\\" data-semantic-role=\\\"leftright\\\" data-semantic-speech=\\\"left parenthesis sigma Subscript d c Baseline right parenthesis\\\" data-semantic-structure=\\\"(5 0 (3 1 2) 4)\\\" data-semantic-type=\\\"fenced\\\"><mjx-mo data-semantic- data-semantic-operator=\\\"fenced\\\" data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"open\\\" data-semantic-type=\\\"fence\\\" style=\\\"vertical-align: -0.02em;\\\"><mjx-c>(</mjx-c></mjx-mo><mjx-msub data-semantic-children=\\\"1,2\\\" data-semantic- data-semantic-owns=\\\"1 2\\\" data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"greekletter\\\" data-semantic-type=\\\"subscript\\\"><mjx-mi data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"italic\\\" data-semantic- data-semantic-parent=\\\"3\\\" data-semantic-role=\\\"greekletter\\\" data-semantic-type=\\\"identifier\\\"><mjx-c>𝜎</mjx-c></mjx-mi><mjx-script style=\\\"vertical-align: -0.15em;\\\"><mjx-mi data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"3\\\" data-semantic-role=\\\"unknown\\\" data-semantic-type=\\\"identifier\\\" size=\\\"s\\\"><mjx-c noic=\\\"true\\\" style=\\\"padding-top: 0.706em;\\\">d</mjx-c><mjx-c style=\\\"padding-top: 0.706em;\\\">c</mjx-c></mjx-mi></mjx-script></mjx-msub><mjx-mo data-semantic- data-semantic-operator=\\\"fenced\\\" data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"close\\\" data-semantic-type=\\\"fence\\\" style=\\\"vertical-align: -0.02em;\\\"><mjx-c>)</mjx-c></mjx-mo></mjx-math></mjx-container>, thermal conductivity <mjx-container ctxtmenu_counter=\\\"135\\\" ctxtmenu_oldtabindex=\\\"1\\\" jax=\\\"CHTML\\\" overflow=\\\"linebreak\\\" role=\\\"tree\\\" sre-explorer- style=\\\"font-size: 100.7%;\\\" tabindex=\\\"0\\\"><mjx-math data-semantic-children=\\\"1\\\" data-semantic-content=\\\"0,2\\\" data-semantic- data-semantic-owns=\\\"0 1 2\\\" data-semantic-role=\\\"leftright\\\" data-semantic-speech=\\\"left parenthesis kappa right parenthesis\\\" data-semantic-structure=\\\"(3 0 1 2)\\\" data-semantic-type=\\\"fenced\\\"><mjx-mo data-semantic- data-semantic-operator=\\\"fenced\\\" data-semantic-parent=\\\"3\\\" data-semantic-role=\\\"open\\\" data-semantic-type=\\\"fence\\\" style=\\\"vertical-align: -0.02em;\\\"><mjx-c>(</mjx-c></mjx-mo><mjx-mi data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"italic\\\" data-semantic- data-semantic-parent=\\\"3\\\" data-semantic-role=\\\"greekletter\\\" data-semantic-type=\\\"identifier\\\"><mjx-c>𝜅</mjx-c></mjx-mi><mjx-mo data-semantic- data-semantic-operator=\\\"fenced\\\" data-semantic-parent=\\\"3\\\" data-semantic-role=\\\"close\\\" data-semantic-type=\\\"fence\\\" style=\\\"vertical-align: -0.02em;\\\"><mjx-c>)</mjx-c></mjx-mo></mjx-math></mjx-container>, and reflectivity of <mjx-container ctxtmenu_counter=\\\"136\\\" ctxtmenu_oldtabindex=\\\"1\\\" jax=\\\"CHTML\\\" overflow=\\\"linebreak\\\" role=\\\"tree\\\" sre-explorer- style=\\\"font-size: 100.7%;\\\" tabindex=\\\"0\\\"><mjx-math data-semantic-structure=\\\"(7 (2 0 1) 6 (5 3 4))\\\"><mjx-mrow data-semantic-annotation=\\\"clearspeak:unit\\\" data-semantic-children=\\\"2,5\\\" data-semantic-content=\\\"6\\\" data-semantic- data-semantic-owns=\\\"2 6 5\\\" data-semantic-role=\\\"implicit\\\" data-semantic-speech=\\\"upper A l 2 normal upper O 3\\\" data-semantic-type=\\\"infixop\\\"><mjx-msub data-semantic-children=\\\"0,1\\\" data-semantic- data-semantic-owns=\\\"0 1\\\" data-semantic-parent=\\\"7\\\" data-semantic-role=\\\"unknown\\\" data-semantic-type=\\\"subscript\\\"><mjx-mi data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"2\\\" data-semantic-role=\\\"unknown\\\" data-semantic-type=\\\"identifier\\\"><mjx-c noic=\\\"true\\\" style=\\\"padding-top: 0.706em;\\\">A</mjx-c><mjx-c style=\\\"padding-top: 0.706em;\\\">l</mjx-c></mjx-mi><mjx-script style=\\\"vertical-align: -0.15em;\\\"><mjx-mn data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"2\\\" data-semantic-role=\\\"integer\\\" data-semantic-type=\\\"number\\\" size=\\\"s\\\"><mjx-c>2</mjx-c></mjx-mn></mjx-script></mjx-msub><mjx-mo data-semantic-added=\\\"true\\\" data-semantic- data-semantic-operator=\\\"infixop,⁢\\\" data-semantic-parent=\\\"7\\\" data-semantic-role=\\\"multiplication\\\" data-semantic-type=\\\"operator\\\"><mjx-c>⁢</mjx-c></mjx-mo><mjx-msub data-semantic-children=\\\"3,4\\\" data-semantic- data-semantic-owns=\\\"3 4\\\" data-semantic-parent=\\\"7\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"subscript\\\" space=\\\"2\\\"><mjx-mi data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"identifier\\\"><mjx-c>O</mjx-c></mjx-mi><mjx-script style=\\\"vertical-align: -0.15em;\\\"><mjx-mn data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"integer\\\" data-semantic-type=\\\"number\\\" size=\\\"s\\\"><mjx-c>3</mjx-c></mjx-mn></mjx-script></mjx-msub></mjx-mrow></mjx-math></mjx-container> in several phases at pressures of <mjx-container ctxtmenu_counter=\\\"137\\\" ctxtmenu_oldtabindex=\\\"1\\\" jax=\\\"CHTML\\\" overflow=\\\"linebreak\\\" role=\\\"tree\\\" sre-explorer- style=\\\"font-size: 100.7%;\\\" tabindex=\\\"0\\\"><mjx-math data-semantic-structure=\\\"(10 6 0 (9 1 2 (8 3 7 5)))\\\"><mjx-mrow data-semantic-children=\\\"6,9\\\" data-semantic-content=\\\"0\\\" data-semantic- data-semantic-owns=\\\"6 0 9\\\" data-semantic-role=\\\"equality\\\" data-semantic-speech=\\\"tilde 130 minus 1300 upper G upper P a\\\" data-semantic-type=\\\"relseq\\\"><mjx-mrow data-semantic-added=\\\"true\\\" data-semantic- data-semantic-parent=\\\"10\\\" data-semantic-role=\\\"unknown\\\" data-semantic-type=\\\"empty\\\"></mjx-mrow><mjx-mo data-semantic- data-semantic-operator=\\\"relseq,∼\\\" data-semantic-parent=\\\"10\\\" data-semantic-role=\\\"equality\\\" data-semantic-type=\\\"relation\\\"><mjx-c>∼</mjx-c></mjx-mo><mjx-mrow data-semantic-added=\\\"true\\\" data-semantic-children=\\\"1,8\\\" data-semantic-content=\\\"2\\\" data-semantic- data-semantic-owns=\\\"1 2 8\\\" data-semantic-parent=\\\"10\\\" data-semantic-role=\\\"subtraction\\\" data-semantic-type=\\\"infixop\\\" space=\\\"4\\\"><mjx-mn data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"9\\\" data-semantic-role=\\\"integer\\\" data-semantic-type=\\\"number\\\"><mjx-c noic=\\\"true\\\" style=\\\"padding-top: 0.644em;\\\">1</mjx-c><mjx-c noic=\\\"true\\\" style=\\\"padding-top: 0.644em;\\\">3</mjx-c><mjx-c style=\\\"padding-top: 0.644em;\\\">0</mjx-c></mjx-mn><mjx-mo data-semantic- data-semantic-operator=\\\"infixop,−\\\" data-semantic-parent=\\\"9\\\" data-semantic-role=\\\"subtraction\\\" data-semantic-type=\\\"operator\\\" space=\\\"3\\\"><mjx-c>−</mjx-c></mjx-mo><mjx-mrow data-semantic-added=\\\"true\\\" data-semantic-annotation=\\\"clearspeak:unit\\\" data-semantic-children=\\\"3,5\\\" data-semantic-content=\\\"7\\\" data-semantic- data-semantic-owns=\\\"3 7 5\\\" data-semantic-parent=\\\"9\\\" data-semantic-role=\\\"implicit\\\" data-semantic-type=\\\"infixop\\\" space=\\\"3\\\"><mjx-mn data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"8\\\" data-semantic-role=\\\"integer\\\" data-semantic-type=\\\"number\\\"><mjx-c noic=\\\"true\\\" style=\\\"padding-top: 0.644em;\\\">1</mjx-c><mjx-c noic=\\\"true\\\" style=\\\"padding-top: 0.644em;\\\">3</mjx-c><mjx-c noic=\\\"true\\\" style=\\\"padding-top: 0.644em;\\\">0</mjx-c><mjx-c style=\\\"padding-top: 0.644em;\\\">0</mjx-c></mjx-mn><mjx-mspace data-semantic- data-semantic-operator=\\\"infixop,⁢\\\" data-semantic-parent=\\\"8\\\" data-semantic-role=\\\"space\\\" data-semantic-type=\\\"operator\\\" style=\\\"width: 0.16em;\\\"></mjx-mspace><mjx-mi data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"8\\\" data-semantic-role=\\\"unknown\\\" data-semantic-type=\\\"identifier\\\" space=\\\"2\\\"><mjx-c noic=\\\"true\\\" style=\\\"padding-top: 0.669em;\\\">G</mjx-c><mjx-c noic=\\\"true\\\" style=\\\"padding-top: 0.669em;\\\">P</mjx-c><mjx-c style=\\\"padding-top: 0.669em;\\\">a</mjx-c></mjx-mi></mjx-mrow></mjx-mrow></mjx-mrow></mjx-math></mjx-container> and temperatures of 4000–20 000 K. We find the solid-to-liquid state changes of <mjx-container ctxtmenu_counter=\\\"138\\\" ctxtmenu_oldtabindex=\\\"1\\\" jax=\\\"CHTML\\\" overflow=\\\"linebreak\\\" role=\\\"tree\\\" sre-explorer- style=\\\"font-size: 100.7%;\\\" tabindex=\\\"0\\\"><mjx-math data-semantic-structure=\\\"(7 (2 0 1) 6 (5 3 4))\\\"><mjx-mrow data-semantic-annotation=\\\"clearspeak:unit\\\" data-semantic-children=\\\"2,5\\\" data-semantic-content=\\\"6\\\" data-semantic- data-semantic-owns=\\\"2 6 5\\\" data-semantic-role=\\\"implicit\\\" data-semantic-speech=\\\"upper A l 2 normal upper O 3\\\" data-semantic-type=\\\"infixop\\\"><mjx-msub data-semantic-children=\\\"0,1\\\" data-semantic- data-semantic-owns=\\\"0 1\\\" data-semantic-parent=\\\"7\\\" data-semantic-role=\\\"unknown\\\" data-semantic-type=\\\"subscript\\\"><mjx-mi data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"2\\\" data-semantic-role=\\\"unknown\\\" data-semantic-type=\\\"identifier\\\"><mjx-c noic=\\\"true\\\" style=\\\"padding-top: 0.706em;\\\">A</mjx-c><mjx-c style=\\\"padding-top: 0.706em;\\\">l</mjx-c></mjx-mi><mjx-script style=\\\"vertical-align: -0.15em;\\\"><mjx-mn data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"2\\\" data-semantic-role=\\\"integer\\\" data-semantic-type=\\\"number\\\" size=\\\"s\\\"><mjx-c>2</mjx-c></mjx-mn></mjx-script></mjx-msub><mjx-mo data-semantic-added=\\\"true\\\" data-semantic- data-semantic-operator=\\\"infixop,⁢\\\" data-semantic-parent=\\\"7\\\" data-semantic-role=\\\"multiplication\\\" data-semantic-type=\\\"operator\\\"><mjx-c>⁢</mjx-c></mjx-mo><mjx-msub data-semantic-children=\\\"3,4\\\" data-semantic- data-semantic-owns=\\\"3 4\\\" data-semantic-parent=\\\"7\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"subscript\\\" space=\\\"2\\\"><mjx-mi data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"identifier\\\"><mjx-c>O</mjx-c></mjx-mi><mjx-script style=\\\"vertical-align: -0.15em;\\\"><mjx-mn data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"integer\\\" data-semantic-type=\\\"number\\\" size=\\\"s\\\"><mjx-c>3</mjx-c></mjx-mn></mjx-script></mjx-msub></mjx-mrow></mjx-math></mjx-container> are accompanied by an insulator-to-semimetal transition with enhanced <mjx-container ctxtmenu_counter=\\\"139\\\" ctxtmenu_oldtabindex=\\\"1\\\" jax=\\\"CHTML\\\" overflow=\\\"linebreak\\\" role=\\\"tree\\\" sre-explorer- style=\\\"font-size: 100.7%;\\\" tabindex=\\\"0\\\"><mjx-math data-semantic-structure=\\\"(2 0 1)\\\"><mjx-msub data-semantic-children=\\\"0,1\\\" data-semantic- data-semantic-owns=\\\"0 1\\\" data-semantic-role=\\\"greekletter\\\" data-semantic-speech=\\\"sigma Subscript d c\\\" data-semantic-type=\\\"subscript\\\"><mjx-mi data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"italic\\\" data-semantic- data-semantic-parent=\\\"2\\\" data-semantic-role=\\\"greekletter\\\" data-semantic-type=\\\"identifier\\\"><mjx-c>𝜎</mjx-c></mjx-mi><mjx-script style=\\\"vertical-align: -0.15em;\\\"><mjx-mi data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"2\\\" data-semantic-role=\\\"unknown\\\" data-semantic-type=\\\"identifier\\\" size=\\\"s\\\"><mjx-c noic=\\\"true\\\" style=\\\"padding-top: 0.706em;\\\">d</mjx-c><mjx-c style=\\\"padding-top: 0.706em;\\\">c</mjx-c></mjx-mi></mjx-script></mjx-msub></mjx-math></mjx-container> and <mjx-container ctxtmenu_counter=\\\"140\\\" ctxtmenu_oldtabindex=\\\"1\\\" jax=\\\"CHTML\\\" overflow=\\\"linebreak\\\" role=\\\"tree\\\" sre-explorer- style=\\\"font-size: 100.7%;\\\" tabindex=\\\"0\\\"><mjx-math data-semantic-structure=\\\"0\\\"><mjx-mi data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"italic\\\" data-semantic- data-semantic-role=\\\"greekletter\\\" data-semantic-speech=\\\"kappa\\\" data-semantic-type=\\\"identifier\\\"><mjx-c>𝜅</mjx-c></mjx-mi></mjx-math></mjx-container>, which is similar to other silicates and oxides and can facilitate magnetic field generation in deep interiors of rocky planets. We also find the solid-to-solid transition [from <mjx-container ctxtmenu_counter=\\\"141\\\" ctxtmenu_oldtabindex=\\\"1\\\" jax=\\\"CHTML\\\" overflow=\\\"linebreak\\\" role=\\\"tree\\\" sre-explorer- style=\\\"font-size: 100.7%;\\\" tabindex=\\\"0\\\"><mjx-math data-semantic-structure=\\\"(13 (2 0 1) 12 (11 (5 3 4) 10 (9 6 7 8)))\\\"><mjx-mrow data-semantic-annotation=\\\"clearspeak:unit\\\" data-semantic-children=\\\"2,11\\\" data-semantic-content=\\\"12\\\" data-semantic- data-semantic-owns=\\\"2 12 11\\\" data-semantic-role=\\\"implicit\\\" data-semantic-speech=\\\"upper R h 2 normal upper O 3 left parenthesis upper I upper I right parenthesis\\\" data-semantic-type=\\\"infixop\\\"><mjx-msub data-semantic-children=\\\"0,1\\\" data-semantic- data-semantic-owns=\\\"0 1\\\" data-semantic-parent=\\\"13\\\" data-semantic-role=\\\"unknown\\\" data-semantic-type=\\\"subscript\\\"><mjx-mi data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"2\\\" data-semantic-role=\\\"unknown\\\" data-semantic-type=\\\"identifier\\\"><mjx-c noic=\\\"true\\\" style=\\\"padding-top: 0.706em;\\\">R</mjx-c><mjx-c style=\\\"padding-top: 0.706em;\\\">h</mjx-c></mjx-mi><mjx-script style=\\\"vertical-align: -0.15em;\\\"><mjx-mn data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"2\\\" data-semantic-role=\\\"integer\\\" data-semantic-type=\\\"number\\\" size=\\\"s\\\"><mjx-c>2</mjx-c></mjx-mn></mjx-script></mjx-msub><mjx-mo data-semantic-added=\\\"true\\\" data-semantic- data-semantic-operator=\\\"infixop,⁢\\\" data-semantic-parent=\\\"13\\\" data-semantic-role=\\\"multiplication\\\" data-semantic-type=\\\"operator\\\"><mjx-c>⁢</mjx-c></mjx-mo><mjx-mrow data-semantic-added=\\\"true\\\" data-semantic-children=\\\"5,9\\\" data-semantic-content=\\\"10,3\\\" data-semantic- data-semantic-owns=\\\"5 10 9\\\" data-semantic-parent=\\\"13\\\" data-semantic-role=\\\"simple function\\\" data-semantic-type=\\\"appl\\\" space=\\\"2\\\"><mjx-msub data-semantic-children=\\\"3,4\\\" data-semantic- data-semantic-owns=\\\"3 4\\\" data-semantic-parent=\\\"11\\\" data-semantic-role=\\\"simple function\\\" data-semantic-type=\\\"subscript\\\"><mjx-mi data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-operator=\\\"appl\\\" data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"simple function\\\" data-semantic-type=\\\"identifier\\\"><mjx-c>O</mjx-c></mjx-mi><mjx-script style=\\\"vertical-align: -0.15em;\\\"><mjx-mn data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"integer\\\" data-semantic-type=\\\"number\\\" size=\\\"s\\\"><mjx-c>3</mjx-c></mjx-mn></mjx-script></mjx-msub><mjx-mo data-semantic-added=\\\"true\\\" data-semantic- data-semantic-operator=\\\"appl\\\" data-semantic-parent=\\\"11\\\" data-semantic-role=\\\"application\\\" data-semantic-type=\\\"punctuation\\\"><mjx-c>⁡</mjx-c></mjx-mo><mjx-mrow data-semantic-added=\\\"true\\\" data-semantic-children=\\\"7\\\" data-semantic-content=\\\"6,8\\\" data-semantic- data-semantic-owns=\\\"6 7 8\\\" data-semantic-parent=\\\"11\\\" data-semantic-role=\\\"leftright\\\" data-semantic-type=\\\"fenced\\\" space=\\\"2\\\"><mjx-mo data-semantic- data-semantic-operator=\\\"fenced\\\" data-semantic-parent=\\\"9\\\" data-semantic-role=\\\"open\\\" data-semantic-type=\\\"fence\\\" style=\\\"vertical-align: -0.02em;\\\"><mjx-c>(</mjx-c></mjx-mo><mjx-mi data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"9\\\" data-semantic-role=\\\"unknown\\\" data-semantic-type=\\\"identifier\\\"><mjx-c noic=\\\"true\\\" style=\\\"padding-top: 0.657em;\\\">I</mjx-c><mjx-c style=\\\"padding-top: 0.657em;\\\">I</mjx-c></mjx-mi><mjx-mo data-semantic- data-semantic-operator=\\\"fenced\\\" data-semantic-parent=\\\"9\\\" data-semantic-role=\\\"close\\\" data-semantic-type=\\\"fence\\\" style=\\\"vertical-align: -0.02em;\\\"><mjx-c>)</mjx-c></mjx-mo></mjx-mrow></mjx-mrow></mjx-mrow></mjx-math></mjx-container> to <mjx-container ctxtmenu_counter=\\\"142\\\" ctxtmenu_oldtabindex=\\\"1\\\" jax=\\\"CHTML\\\" overflow=\\\"linebreak\\\" role=\\\"tree\\\" sre-explorer- style=\\\"font-size: 100.7%;\\\" tabindex=\\\"0\\\"><mjx-math data-semantic-structure=\\\"(4 (2 0 1) 3)\\\"><mjx-mrow data-semantic-children=\\\"2,3\\\" data-semantic-content=\\\"3\\\" data-semantic- data-semantic-owns=\\\"2 3\\\" data-semantic-role=\\\"endpunct\\\" data-semantic-speech=\\\"upper C a upper I r upper O 3 right bracket\\\" data-semantic-type=\\\"punctuated\\\"><mjx-msub data-semantic-children=\\\"0,1\\\" data-semantic- data-semantic-owns=\\\"0 1\\\" data-semantic-parent=\\\"4\\\" data-semantic-role=\\\"unknown\\\" data-semantic-type=\\\"subscript\\\"><mjx-mi data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"2\\\" data-semantic-role=\\\"unknown\\\" data-semantic-type=\\\"identifier\\\"><mjx-c noic=\\\"true\\\" style=\\\"padding-top: 0.669em;\\\">C</mjx-c><mjx-c noic=\\\"true\\\" style=\\\"padding-top: 0.669em;\\\">a</mjx-c><mjx-c noic=\\\"true\\\" style=\\\"padding-top: 0.669em;\\\">I</mjx-c><mjx-c noic=\\\"true\\\" style=\\\"padding-top: 0.669em;\\\">r</mjx-c><mjx-c style=\\\"padding-top: 0.669em;\\\">O</mjx-c></mjx-mi><mjx-script style=\\\"vertical-align: -0.15em;\\\"><mjx-mn data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"2\\\" data-semantic-role=\\\"integer\\\" data-semantic-type=\\\"number\\\" size=\\\"s\\\"><mjx-c>3</mjx-c></mjx-mn></mjx-script></mjx-msub><mjx-mrow><mjx-mo data-semantic- data-semantic-operator=\\\"punctuated\\\" data-semantic-parent=\\\"4\\\" data-semantic-role=\\\"closefence\\\" data-semantic-type=\\\"punctuation\\\" style=\\\"vertical-align: -0.02em;\\\"><mjx-c>]</mjx-c></mjx-mo></mjx-mrow></mjx-mrow></mjx-math></mjx-container> is accompanied by negligible changes in <mjx-container ctxtmenu_counter=\\\"143\\\" ctxtmenu_oldtabindex=\\\"1\\\" jax=\\\"CHTML\\\" overflow=\\\"linebreak\\\" role=\\\"tree\\\" sre-explorer- style=\\\"font-size: 100.7%;\\\" tabindex=\\\"0\\\"><mjx-math data-semantic-structure=\\\"(2 0 1)\\\"><mjx-msub data-semantic-children=\\\"0,1\\\" data-semantic- data-semantic-owns=\\\"0 1\\\" data-semantic-role=\\\"greekletter\\\" data-semantic-speech=\\\"sigma Subscript d c\\\" data-semantic-type=\\\"subscript\\\"><mjx-mi data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"italic\\\" data-semantic- data-semantic-parent=\\\"2\\\" data-semantic-role=\\\"greekletter\\\" data-semantic-type=\\\"identifier\\\"><mjx-c>𝜎</mjx-c></mjx-mi><mjx-script style=\\\"vertical-align: -0.15em;\\\"><mjx-mi data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"2\\\" data-semantic-role=\\\"unknown\\\" data-semantic-type=\\\"identifier\\\" size=\\\"s\\\"><mjx-c noic=\\\"true\\\" style=\\\"padding-top: 0.706em;\\\">d</mjx-c><mjx-c style=\\\"padding-top: 0.706em;\\\">c</mjx-c></mjx-mi></mjx-script></mjx-msub></mjx-math></mjx-container> and <mjx-container ctxtmenu_counter=\\\"144\\\" ctxtmenu_oldtabindex=\\\"1\\\" jax=\\\"CHTML\\\" overflow=\\\"linebreak\\\" role=\\\"tree\\\" sre-explorer- style=\\\"font-size: 100.7%;\\\" tabindex=\\\"0\\\"><mjx-math data-semantic-structure=\\\"0\\\"><mjx-mi data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"italic\\\" data-semantic- data-semantic-role=\\\"greekletter\\\" data-semantic-speech=\\\"kappa\\\" data-semantic-type=\\\"identifier\\\"><mjx-c>𝜅</mjx-c></mjx-mi></mjx-math></mjx-container> at 160 GPa, contrary to previous expectations, whereas another higher pressure phase transition (<mjx-container ctxtmenu_counter=\\\"145\\\" ctxtmenu_oldtabindex=\\\"1\\\" jax=\\\"CHTML\\\" overflow=\\\"linebreak\\\" role=\\\"tree\\\" sre-explorer- style=\\\"font-size: 100.7%;\\\" tabindex=\\\"0\\\"><mjx-math data-semantic-structure=\\\"(2 0 1)\\\"><mjx-msub data-semantic-children=\\\"0,1\\\" data-semantic- data-semantic-owns=\\\"0 1\\\" data-semantic-role=\\\"unknown\\\" data-semantic-speech=\\\"upper C a upper I r upper O 3\\\" data-semantic-type=\\\"subscript\\\"><mjx-mi data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"2\\\" data-semantic-role=\\\"unknown\\\" data-semantic-type=\\\"identifier\\\"><mjx-c noic=\\\"true\\\" style=\\\"padding-top: 0.669em;\\\">C</mjx-c><mjx-c noic=\\\"true\\\" style=\\\"padding-top: 0.669em;\\\">a</mjx-c><mjx-c noic=\\\"true\\\" style=\\\"padding-top: 0.669em;\\\">I</mjx-c><mjx-c noic=\\\"true\\\" style=\\\"padding-top: 0.669em;\\\">r</mjx-c><mjx-c style=\\\"padding-top: 0.669em;\\\">O</mjx-c></mjx-mi><mjx-script style=\\\"vertical-align: -0.15em;\\\"><mjx-mn data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"2\\\" data-semantic-role=\\\"integer\\\" data-semantic-type=\\\"number\\\" size=\\\"s\\\"><mjx-c>3</mjx-c></mjx-mn></mjx-script></mjx-msub></mjx-math></mjx-container> to <mjx-container ctxtmenu_counter=\\\"146\\\" ctxtmenu_oldtabindex=\\\"1\\\" jax=\\\"CHTML\\\" overflow=\\\"linebreak\\\" role=\\\"tree\\\" sre-explorer- style=\\\"font-size: 100.7%;\\\" tabindex=\\\"0\\\"><mjx-math data-semantic-structure=\\\"(7 (2 0 1) 6 (5 3 4))\\\"><mjx-mrow data-semantic-annotation=\\\"clearspeak:unit\\\" data-semantic-children=\\\"2,5\\\" data-semantic-content=\\\"6\\\" data-semantic- data-semantic-owns=\\\"2 6 5\\\" data-semantic-role=\\\"implicit\\\" data-semantic-speech=\\\"normal upper U 2 normal upper S 3\\\" data-semantic-type=\\\"infixop\\\"><mjx-msub data-semantic-children=\\\"0,1\\\" data-semantic- data-semantic-owns=\\\"0 1\\\" data-semantic-parent=\\\"7\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"subscript\\\"><mjx-mi data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"2\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"identifier\\\"><mjx-c>U</mjx-c></mjx-mi><mjx-script style=\\\"vertical-align: -0.15em;\\\"><mjx-mn data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"2\\\" data-semantic-role=\\\"integer\\\" data-semantic-type=\\\"number\\\" size=\\\"s\\\"><mjx-c>2</mjx-c></mjx-mn></mjx-script></mjx-msub><mjx-mo data-semantic-added=\\\"true\\\" data-semantic- data-semantic-operator=\\\"infixop,⁢\\\" data-semantic-parent=\\\"7\\\" data-semantic-role=\\\"multiplication\\\" data-semantic-type=\\\"operator\\\"><mjx-c>⁢</mjx-c></mjx-mo><mjx-msub data-semantic-children=\\\"3,4\\\" data-semantic- data-semantic-owns=\\\"3 4\\\" data-semantic-parent=\\\"7\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"subscript\\\"><mjx-mi data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"identifier\\\"><mjx-c>S</mjx-c></mjx-mi><mjx-script style=\\\"vertical-align: -0.15em;\\\"><mjx-mn data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"integer\\\" data-semantic-type=\\\"number\\\" size=\\\"s\\\"><mjx-c>3</mjx-c></mjx-mn></mjx-script></mjx-msub></mjx-mrow></mjx-math></mjx-container> at 450 GPa) is associated with increases in <mjx-container ctxtmenu_counter=\\\"147\\\" ctxtmenu_oldtabindex=\\\"1\\\" jax=\\\"CHTML\\\" overflow=\\\"linebreak\\\" role=\\\"tree\\\" sre-explorer- style=\\\"font-size: 100.7%;\\\" tabindex=\\\"0\\\"><mjx-math data-semantic-structure=\\\"(2 0 1)\\\"><mjx-msub data-semantic-children=\\\"0,1\\\" data-semantic- data-semantic-owns=\\\"0 1\\\" data-semantic-role=\\\"greekletter\\\" data-semantic-speech=\\\"sigma Subscript d c\\\" data-semantic-type=\\\"subscript\\\"><mjx-mi data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"italic\\\" data-semantic- data-semantic-parent=\\\"2\\\" data-semantic-role=\\\"greekletter\\\" data-semantic-type=\\\"identifier\\\"><mjx-c>𝜎</mjx-c></mjx-mi><mjx-script style=\\\"vertical-align: -0.15em;\\\"><mjx-mi data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"2\\\" data-semantic-role=\\\"unknown\\\" data-semantic-type=\\\"identifier\\\" size=\\\"s\\\"><mjx-c noic=\\\"true\\\" style=\\\"padding-top: 0.706em;\\\">d</mjx-c><mjx-c style=\\\"padding-top: 0.706em;\\\">c</mjx-c></mjx-mi></mjx-script></mjx-msub></mjx-math></mjx-container> and <mjx-container ctxtmenu_counter=\\\"148\\\" ctxtmenu_oldtabindex=\\\"1\\\" jax=\\\"CHTML\\\" overflow=\\\"linebreak\\\" role=\\\"tree\\\" sre-explorer- style=\\\"font-size: 100.7%;\\\" tabindex=\\\"0\\\"><mjx-math data-semantic-structure=\\\"0\\\"><mjx-mi data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"italic\\\" data-semantic- data-semantic-role=\\\"greekletter\\\" data-semantic-speech=\\\"kappa\\\" data-semantic-type=\\\"identifier\\\"><mjx-c>𝜅</mjx-c></mjx-mi></mjx-math></mjx-container>. Furthermore, we show the transport properties can be enhanced by oxygen vacancy in <mjx-container ctxtmenu_counter=\\\"149\\\" ctxtmenu_oldtabindex=\\\"1\\\" jax=\\\"CHTML\\\" overflow=\\\"linebreak\\\" role=\\\"tree\\\" sre-explorer- style=\\\"font-size: 100.7%;\\\" tabindex=\\\"0\\\"><mjx-math data-semantic-structure=\\\"(7 (2 0 1) 6 (5 3 4))\\\"><mjx-mrow data-semantic-annotation=\\\"clearspeak:unit\\\" data-semantic-children=\\\"2,5\\\" data-semantic-content=\\\"6\\\" data-semantic- data-semantic-owns=\\\"2 6 5\\\" data-semantic-role=\\\"implicit\\\" data-semantic-speech=\\\"upper A l 2 normal upper O 3\\\" data-semantic-type=\\\"infixop\\\"><mjx-msub data-semantic-children=\\\"0,1\\\" data-semantic- data-semantic-owns=\\\"0 1\\\" data-semantic-parent=\\\"7\\\" data-semantic-role=\\\"unknown\\\" data-semantic-type=\\\"subscript\\\"><mjx-mi data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"2\\\" data-semantic-role=\\\"unknown\\\" data-semantic-type=\\\"identifier\\\"><mjx-c noic=\\\"true\\\" style=\\\"padding-top: 0.706em;\\\">A</mjx-c><mjx-c style=\\\"padding-top: 0.706em;\\\">l</mjx-c></mjx-mi><mjx-script style=\\\"vertical-align: -0.15em;\\\"><mjx-mn data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"2\\\" data-semantic-role=\\\"integer\\\" data-semantic-type=\\\"number\\\" size=\\\"s\\\"><mjx-c>2</mjx-c></mjx-mn></mjx-script></mjx-msub><mjx-mo data-semantic-added=\\\"true\\\" data-semantic- data-semantic-operator=\\\"infixop,⁢\\\" data-semantic-parent=\\\"7\\\" data-semantic-role=\\\"multiplication\\\" data-semantic-type=\\\"operator\\\"><mjx-c>⁢</mjx-c></mjx-mo><mjx-msub data-semantic-children=\\\"3,4\\\" data-semantic- data-semantic-owns=\\\"3 4\\\" data-semantic-parent=\\\"7\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"subscript\\\" space=\\\"2\\\"><mjx-mi data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"identifier\\\"><mjx-c>O</mjx-c></mjx-mi><mjx-script style=\\\"vertical-align: -0.15em;\\\"><mjx-mn data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"integer\\\" data-semantic-type=\\\"number\\\" size=\\\"s\\\"><mjx-c>3</mjx-c></mjx-mn></mjx-script></mjx-msub></mjx-mrow></mjx-math></mjx-container>, but are not significantly affected by forming solutions with <mjx-container ctxtmenu_counter=\\\"150\\\" ctxtmenu_oldtabindex=\\\"1\\\" jax=\\\"CHTML\\\" overflow=\\\"linebreak\\\" role=\\\"tree\\\" sre-explorer- style=\\\"font-size: 100.7%;\\\" tabindex=\\\"0\\\"><mjx-math data-semantic-structure=\\\"(2 0 1)\\\"><mjx-msub data-semantic-children=\\\"0,1\\\" data-semantic- data-semantic-owns=\\\"0 1\\\" data-semantic-role=\\\"unknown\\\" 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引用次数: 0

摘要

材料的高压温度相图和传输特性对行星科学和高能量密度科学及应用具有广泛的意义。氧化铝(Al2O3)或其各种形态(如与其他氧化物或硅酸盐的溶液)是地球和超地球地幔的重要成分,是动态压缩实验中的常用窗口材料,也是金刚石椭球实验中的标准压力校准器。它的结构和传输特性尤为重要,但在 100 GPa 以上的压力下还没有得到很好的研究。基于广泛的第一性原理分子动力学计算,我们获得了原子水平的结构差异见解,以及在压力为 130-1300GPa 和温度为 4000-20 000 K 时 Al2O3 在几种相中的导电性(𝜎dc)、导热性(𝜅)和反射性的精确结果。我们发现Al2O3的固态到液态变化伴随着绝缘体到半金属的转变,其𝜎dc和𝜅增强,这与其他硅酸盐和氧化物类似,可促进岩质行星内部深处磁场的产生。我们还发现,在 160 GPa 时,固态到固态的转变(从 Rh2O3(II) 到 CaIrO3)伴随着𝜎dc 和𝜅的微小变化,这与之前的预期相反,而另一种更高的压力相变(在 450 GPa 时从 CaIrO3 到 U2S3)则伴随着𝜎dc 和𝜅的增加。此外,我们还发现 Al2O3 中的氧空位可以增强传输特性,但与 MgSiO3 形成溶液对传输特性的影响不大,尤其是在固态时。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Melting and transport properties ofAl2⁢O3at extreme conditions
The high-pressure temperature phase diagram and transport properties of materials are of broad interest to planetary sciences and high-energy-density sciences and applications. Alumina (Al2O3) or its various forms (e.g., solutions with other oxides or silicates) are important constituents in Earth's and super-Earths' mantles, common window materials in dynamic compression experiments, and standard pressure calibrators in diamond-anvil-cell experiments. Its structures and transport properties are of particular importance but have not been well studied at above 100 GPa pressures. Based on extensive first-principles molecular dynamics calculations, we obtain atomic level insights on structural differences and accurate results on electrical conductivity (𝜎dc), thermal conductivity (𝜅), and reflectivity of Al2O3 in several phases at pressures of 1301300GPa and temperatures of 4000–20 000 K. We find the solid-to-liquid state changes of Al2O3 are accompanied by an insulator-to-semimetal transition with enhanced 𝜎dc and 𝜅, which is similar to other silicates and oxides and can facilitate magnetic field generation in deep interiors of rocky planets. We also find the solid-to-solid transition [from Rh2O3(II) to CaIrO3] is accompanied by negligible changes in 𝜎dc and 𝜅 at 160 GPa, contrary to previous expectations, whereas another higher pressure phase transition (CaIrO3 to U2S3 at 450 GPa) is associated with increases in 𝜎dc and 𝜅. Furthermore, we show the transport properties can be enhanced by oxygen vacancy in Al2O3, but are not significantly affected by forming solutions with MgSiO3, particularly when in the solid states.
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来源期刊
Physical Review B
Physical Review B 物理-物理:凝聚态物理
CiteScore
6.70
自引率
32.40%
发文量
0
审稿时长
3.0 months
期刊介绍: Physical Review B (PRB) is the world’s largest dedicated physics journal, publishing approximately 100 new, high-quality papers each week. The most highly cited journal in condensed matter physics, PRB provides outstanding depth and breadth of coverage, combined with unrivaled context and background for ongoing research by scientists worldwide. PRB covers the full range of condensed matter, materials physics, and related subfields, including: -Structure and phase transitions -Ferroelectrics and multiferroics -Disordered systems and alloys -Magnetism -Superconductivity -Electronic structure, photonics, and metamaterials -Semiconductors and mesoscopic systems -Surfaces, nanoscience, and two-dimensional materials -Topological states of matter
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