微波辅助快速合成法制备的卤化物箭石中的四面体倾斜和锂离子迁移

IF 18.5 1区 材料科学 Q1 CHEMISTRY, MULTIDISCIPLINARY
Austin M. Shotwell, Maxwell C. Schulze, Philip Yox, Cade Alaniz, Annalise E. Maughan
{"title":"微波辅助快速合成法制备的卤化物箭石中的四面体倾斜和锂离子迁移","authors":"Austin M. Shotwell, Maxwell C. Schulze, Philip Yox, Cade Alaniz, Annalise E. Maughan","doi":"10.1002/adfm.202500237","DOIUrl":null,"url":null,"abstract":"This study demonstrates a rapid, dry, microwave-assisted (MW) synthesis method that enables preparation of halide argyrodites <span data-altimg=\"/cms/asset/842c8b3d-4527-49e8-b3cf-e756d2f963cd/adfm202500237-math-0001.png\"></span><mjx-container ctxtmenu_counter=\"135\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" role=\"application\" sre-explorer- style=\"font-size: 103%; position: relative;\" tabindex=\"0\"><mjx-math aria-hidden=\"true\" location=\"graphic/adfm202500237-math-0001.png\"><mjx-semantics><mjx-mrow data-semantic-annotation=\"clearspeak:unit\" data-semantic-children=\"2,5,6\" data-semantic-content=\"7,8\" data-semantic- data-semantic-role=\"implicit\" data-semantic-speech=\"upper L i 6 upper P upper S 5 upper X\" data-semantic-type=\"infixop\"><mjx-msub data-semantic-children=\"0,1\" data-semantic- data-semantic-parent=\"9\" 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></mjx-c><mjx-c></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></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\" style=\"margin-left: 0.056em; margin-right: 0.056em;\"><mjx-c></mjx-c></mjx-mo><mjx-msub data-semantic-children=\"3,4\" data-semantic- data-semantic-parent=\"9\" data-semantic-role=\"unknown\" data-semantic-type=\"subscript\"><mjx-mi data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"5\" data-semantic-role=\"unknown\" data-semantic-type=\"identifier\"><mjx-c></mjx-c><mjx-c></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></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\" style=\"margin-left: 0.056em; margin-right: 0.056em;\"><mjx-c></mjx-c></mjx-mo><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"9\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\"><mjx-c></mjx-c></mjx-mi></mjx-mrow></mjx-semantics></mjx-math><mjx-assistive-mml display=\"inline\" unselectable=\"on\"><math altimg=\"urn:x-wiley:1616301X:media:adfm202500237:adfm202500237-math-0001\" display=\"inline\" location=\"graphic/adfm202500237-math-0001.png\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><semantics><mrow data-semantic-=\"\" data-semantic-annotation=\"clearspeak:unit\" data-semantic-children=\"2,5,6\" data-semantic-content=\"7,8\" data-semantic-role=\"implicit\" data-semantic-speech=\"upper L i 6 upper P upper S 5 upper X\" data-semantic-type=\"infixop\"><msub data-semantic-=\"\" data-semantic-children=\"0,1\" data-semantic-parent=\"9\" data-semantic-role=\"unknown\" data-semantic-type=\"subscript\"><mi data-semantic-=\"\" data-semantic-font=\"normal\" data-semantic-parent=\"2\" data-semantic-role=\"unknown\" data-semantic-type=\"identifier\">Li</mi><mn data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic-parent=\"2\" data-semantic-role=\"integer\" data-semantic-type=\"number\">6</mn></msub><mo data-semantic-=\"\" data-semantic-added=\"true\" data-semantic-operator=\"infixop,⁢\" data-semantic-parent=\"9\" data-semantic-role=\"multiplication\" data-semantic-type=\"operator\">⁢</mo><msub data-semantic-=\"\" data-semantic-children=\"3,4\" data-semantic-parent=\"9\" data-semantic-role=\"unknown\" data-semantic-type=\"subscript\"><mi data-semantic-=\"\" data-semantic-font=\"normal\" data-semantic-parent=\"5\" data-semantic-role=\"unknown\" data-semantic-type=\"identifier\">PS</mi><mn data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic-parent=\"5\" data-semantic-role=\"integer\" data-semantic-type=\"number\">5</mn></msub><mo data-semantic-=\"\" data-semantic-added=\"true\" data-semantic-operator=\"infixop,⁢\" data-semantic-parent=\"9\" data-semantic-role=\"multiplication\" data-semantic-type=\"operator\">⁢</mo><mi data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic-parent=\"9\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\">X</mi></mrow>${\\rm Li}_6 {\\rm PS}_5X$</annotation></semantics></math></mjx-assistive-mml></mjx-container> (<span data-altimg=\"/cms/asset/60ba913d-6316-4091-9b89-69cc8fb7db9f/adfm202500237-math-0002.png\"></span><mjx-container ctxtmenu_counter=\"136\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" role=\"application\" sre-explorer- style=\"font-size: 103%; position: relative;\" tabindex=\"0\"><mjx-math aria-hidden=\"true\" location=\"graphic/adfm202500237-math-0002.png\"><mjx-semantics><mjx-mrow data-semantic-children=\"0,2\" data-semantic-content=\"1\" data-semantic- data-semantic-role=\"equality\" data-semantic-speech=\"upper X equals\" data-semantic-type=\"relseq\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"3\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\"><mjx-c></mjx-c></mjx-mi><mjx-mo data-semantic- data-semantic-operator=\"relseq,=\" data-semantic-parent=\"3\" data-semantic-role=\"equality\" data-semantic-type=\"relation\" rspace=\"5\" space=\"5\"><mjx-c></mjx-c></mjx-mo><mjx-mrow data-semantic- data-semantic-parent=\"3\" data-semantic-role=\"unknown\" data-semantic-type=\"empty\"></mjx-mrow></mjx-mrow></mjx-semantics></mjx-math><mjx-assistive-mml display=\"inline\" unselectable=\"on\"><math altimg=\"urn:x-wiley:1616301X:media:adfm202500237:adfm202500237-math-0002\" display=\"inline\" location=\"graphic/adfm202500237-math-0002.png\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><semantics><mrow data-semantic-=\"\" data-semantic-children=\"0,2\" data-semantic-content=\"1\" data-semantic-role=\"equality\" data-semantic-speech=\"upper X equals\" data-semantic-type=\"relseq\"><mi data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic-parent=\"3\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\">X</mi><mo data-semantic-=\"\" data-semantic-operator=\"relseq,=\" data-semantic-parent=\"3\" data-semantic-role=\"equality\" data-semantic-type=\"relation\">=</mo><mrow data-semantic-=\"\" data-semantic-parent=\"3\" data-semantic-role=\"unknown\" data-semantic-type=\"empty\"></mrow></mrow>$X =$</annotation></semantics></math></mjx-assistive-mml></mjx-container> <span data-altimg=\"/cms/asset/9da0f50d-3aca-4ed5-9816-0f0e7eccaded/adfm202500237-math-0003.png\"></span><mjx-container ctxtmenu_counter=\"137\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" role=\"application\" sre-explorer- style=\"font-size: 103%; position: relative;\" tabindex=\"0\"><mjx-math aria-hidden=\"true\" location=\"graphic/adfm202500237-math-0003.png\"><mjx-semantics><mjx-msup data-semantic-children=\"0,1\" data-semantic- data-semantic-role=\"unknown\" data-semantic-speech=\"upper C l Superscript minus\" data-semantic-type=\"superscript\"><mjx-mi data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"2\" data-semantic-role=\"unknown\" data-semantic-type=\"identifier\"><mjx-c></mjx-c><mjx-c></mjx-c></mjx-mi><mjx-script style=\"vertical-align: 0.432em;\"><mjx-mo data-semantic- data-semantic-parent=\"2\" data-semantic-role=\"subtraction\" data-semantic-type=\"operator\" size=\"s\"><mjx-c></mjx-c></mjx-mo></mjx-script></mjx-msup></mjx-semantics></mjx-math><mjx-assistive-mml display=\"inline\" unselectable=\"on\"><math altimg=\"urn:x-wiley:1616301X:media:adfm202500237:adfm202500237-math-0003\" display=\"inline\" location=\"graphic/adfm202500237-math-0003.png\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><semantics><msup data-semantic-=\"\" data-semantic-children=\"0,1\" data-semantic-role=\"unknown\" data-semantic-speech=\"upper C l Superscript minus\" data-semantic-type=\"superscript\"><mi data-semantic-=\"\" data-semantic-font=\"normal\" data-semantic-parent=\"2\" data-semantic-role=\"unknown\" data-semantic-type=\"identifier\">Cl</mi><mo data-semantic-=\"\" data-semantic-parent=\"2\" data-semantic-role=\"subtraction\" data-semantic-type=\"operator\">−</mo></msup>${\\rm Cl}^-$</annotation></semantics></math></mjx-assistive-mml></mjx-container>, <span data-altimg=\"/cms/asset/0bccf977-73ce-443f-95fc-39c4363204af/adfm202500237-math-0004.png\"></span><mjx-container ctxtmenu_counter=\"138\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" role=\"application\" sre-explorer- style=\"font-size: 103%; position: relative;\" tabindex=\"0\"><mjx-math aria-hidden=\"true\" location=\"graphic/adfm202500237-math-0004.png\"><mjx-semantics><mjx-msup data-semantic-children=\"0,1\" data-semantic- data-semantic-role=\"unknown\" data-semantic-speech=\"upper B r Superscript minus\" data-semantic-type=\"superscript\"><mjx-mi data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"2\" data-semantic-role=\"unknown\" data-semantic-type=\"identifier\"><mjx-c></mjx-c><mjx-c></mjx-c></mjx-mi><mjx-script style=\"vertical-align: 0.41em;\"><mjx-mo data-semantic- data-semantic-parent=\"2\" data-semantic-role=\"subtraction\" data-semantic-type=\"operator\" size=\"s\"><mjx-c></mjx-c></mjx-mo></mjx-script></mjx-msup></mjx-semantics></mjx-math><mjx-assistive-mml display=\"inline\" unselectable=\"on\"><math altimg=\"urn:x-wiley:1616301X:media:adfm202500237:adfm202500237-math-0004\" display=\"inline\" location=\"graphic/adfm202500237-math-0004.png\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><semantics><msup data-semantic-=\"\" data-semantic-children=\"0,1\" data-semantic-role=\"unknown\" data-semantic-speech=\"upper B r Superscript minus\" data-semantic-type=\"superscript\"><mi data-semantic-=\"\" data-semantic-font=\"normal\" data-semantic-parent=\"2\" data-semantic-role=\"unknown\" data-semantic-type=\"identifier\">Br</mi><mo data-semantic-=\"\" data-semantic-parent=\"2\" data-semantic-role=\"subtraction\" data-semantic-type=\"operator\">−</mo></msup>${\\rm Br}^-$</annotation></semantics></math></mjx-assistive-mml></mjx-container>, <span data-altimg=\"/cms/asset/01012690-94a6-4839-bdcf-7234974e5dbd/adfm202500237-math-0005.png\"></span><mjx-container ctxtmenu_counter=\"139\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" role=\"application\" sre-explorer- style=\"font-size: 103%; position: relative;\" tabindex=\"0\"><mjx-math aria-hidden=\"true\" location=\"graphic/adfm202500237-math-0005.png\"><mjx-semantics><mjx-msup data-semantic-children=\"0,1\" data-semantic- data-semantic-role=\"latinletter\" data-semantic-speech=\"normal upper I Superscript minus\" data-semantic-type=\"superscript\"><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></mjx-c></mjx-mi><mjx-script style=\"vertical-align: 0.363em;\"><mjx-mo data-semantic- data-semantic-parent=\"2\" data-semantic-role=\"subtraction\" data-semantic-type=\"operator\" size=\"s\"><mjx-c></mjx-c></mjx-mo></mjx-script></mjx-msup></mjx-semantics></mjx-math><mjx-assistive-mml display=\"inline\" unselectable=\"on\"><math altimg=\"urn:x-wiley:1616301X:media:adfm202500237:adfm202500237-math-0005\" display=\"inline\" location=\"graphic/adfm202500237-math-0005.png\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><semantics><msup data-semantic-=\"\" data-semantic-children=\"0,1\" data-semantic-role=\"latinletter\" data-semantic-speech=\"normal upper I Superscript minus\" data-semantic-type=\"superscript\"><mi data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic-parent=\"2\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\" mathvariant=\"normal\">I</mi><mo data-semantic-=\"\" data-semantic-parent=\"2\" data-semantic-role=\"subtraction\" data-semantic-type=\"operator\">−</mo></msup>${\\rm I}^-$</annotation></semantics></math></mjx-assistive-mml></mjx-container>) in less than 20 min. The structures and ion transport properties of the resulting materials are compared with those synthesized by conventional solid-state synthesis methods. The microwave-assisted method leads to increased <span data-altimg=\"/cms/asset/b3ccf871-c7f3-4c6b-9151-6dc41eef6409/adfm202500237-math-0006.png\"></span><mjx-container ctxtmenu_counter=\"140\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" role=\"application\" sre-explorer- style=\"font-size: 103%; position: relative;\" tabindex=\"0\"><mjx-math aria-hidden=\"true\" location=\"graphic/adfm202500237-math-0006.png\"><mjx-semantics><mjx-mrow data-semantic-children=\"6,8\" data-semantic-content=\"2\" data-semantic- data-semantic-role=\"division\" data-semantic-speech=\"4 a divided by 4 d\" data-semantic-type=\"infixop\"><mjx-mrow data-semantic-annotation=\"clearspeak:simple;clearspeak:unit\" data-semantic-children=\"0,1\" data-semantic-content=\"5\" data-semantic- data-semantic-parent=\"9\" data-semantic-role=\"implicit\" data-semantic-type=\"infixop\"><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\"><mjx-c></mjx-c></mjx-mn><mjx-mo data-semantic-added=\"true\" data-semantic- data-semantic-operator=\"infixop,⁢\" data-semantic-parent=\"6\" data-semantic-role=\"multiplication\" data-semantic-type=\"operator\" style=\"margin-left: 0.056em; margin-right: 0.056em;\"><mjx-c></mjx-c></mjx-mo><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"6\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\"><mjx-c></mjx-c></mjx-mi></mjx-mrow><mjx-mo data-semantic- data-semantic-operator=\"infixop,/\" data-semantic-parent=\"9\" data-semantic-role=\"division\" data-semantic-type=\"operator\" rspace=\"1\" space=\"1\"><mjx-c></mjx-c></mjx-mo><mjx-mrow data-semantic-annotation=\"clearspeak:simple;clearspeak:unit\" data-semantic-children=\"3,4\" data-semantic-content=\"7\" data-semantic- data-semantic-parent=\"9\" data-semantic-role=\"implicit\" data-semantic-type=\"infixop\"><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></mjx-c></mjx-mn><mjx-mo data-semantic-added=\"true\" data-semantic- data-semantic-operator=\"infixop,⁢\" data-semantic-parent=\"8\" data-semantic-role=\"multiplication\" data-semantic-type=\"operator\" style=\"margin-left: 0.056em; margin-right: 0.056em;\"><mjx-c></mjx-c></mjx-mo><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"8\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\"><mjx-c></mjx-c></mjx-mi></mjx-mrow></mjx-mrow></mjx-semantics></mjx-math><mjx-assistive-mml display=\"inline\" unselectable=\"on\"><math altimg=\"urn:x-wiley:1616301X:media:adfm202500237:adfm202500237-math-0006\" display=\"inline\" location=\"graphic/adfm202500237-math-0006.png\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><semantics><mrow data-semantic-=\"\" data-semantic-children=\"6,8\" data-semantic-content=\"2\" data-semantic-role=\"division\" data-semantic-speech=\"4 a divided by 4 d\" data-semantic-type=\"infixop\"><mrow data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple;clearspeak:unit\" data-semantic-children=\"0,1\" data-semantic-content=\"5\" data-semantic-parent=\"9\" data-semantic-role=\"implicit\" data-semantic-type=\"infixop\"><mn data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic-parent=\"6\" data-semantic-role=\"integer\" data-semantic-type=\"number\">4</mn><mo data-semantic-=\"\" data-semantic-added=\"true\" data-semantic-operator=\"infixop,⁢\" data-semantic-parent=\"6\" data-semantic-role=\"multiplication\" data-semantic-type=\"operator\">⁢</mo><mi data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic-parent=\"6\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\">a</mi></mrow><mo data-semantic-=\"\" data-semantic-operator=\"infixop,/\" data-semantic-parent=\"9\" data-semantic-role=\"division\" data-semantic-type=\"operator\">/</mo><mrow data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple;clearspeak:unit\" data-semantic-children=\"3,4\" data-semantic-content=\"7\" data-semantic-parent=\"9\" data-semantic-role=\"implicit\" data-semantic-type=\"infixop\"><mn data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic-parent=\"8\" data-semantic-role=\"integer\" data-semantic-type=\"number\">4</mn><mo data-semantic-=\"\" data-semantic-added=\"true\" data-semantic-operator=\"infixop,⁢\" data-semantic-parent=\"8\" data-semantic-role=\"multiplication\" data-semantic-type=\"operator\">⁢</mo><mi data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic-parent=\"8\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\">d</mi></mrow></mrow>$4a/4d$</annotation></semantics></math></mjx-assistive-mml></mjx-container> site disorder and elevated Arrhenius prefactors (<span data-altimg=\"/cms/asset/e421870f-81cf-4e10-9ed9-1185bac0d6ad/adfm202500237-math-0007.png\"></span><mjx-container ctxtmenu_counter=\"141\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" role=\"application\" sre-explorer- style=\"font-size: 103%; position: relative;\" tabindex=\"0\"><mjx-math aria-hidden=\"true\" location=\"graphic/adfm202500237-math-0007.png\"><mjx-semantics><mjx-msub data-semantic-children=\"0,1\" data-semantic- data-semantic-role=\"greekletter\" data-semantic-speech=\"sigma 0\" 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></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></mjx-c></mjx-mn></mjx-script></mjx-msub></mjx-semantics></mjx-math><mjx-assistive-mml display=\"inline\" unselectable=\"on\"><math altimg=\"urn:x-wiley:1616301X:media:adfm202500237:adfm202500237-math-0007\" display=\"inline\" location=\"graphic/adfm202500237-math-0007.png\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><semantics><msub data-semantic-=\"\" data-semantic-children=\"0,1\" data-semantic-role=\"greekletter\" data-semantic-speech=\"sigma 0\" data-semantic-type=\"subscript\"><mi data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic-parent=\"2\" data-semantic-role=\"greekletter\" data-semantic-type=\"identifier\">σ</mi><mn data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic-parent=\"2\" data-semantic-role=\"integer\" data-semantic-type=\"number\">0</mn></msub>$\\sigma _0$</annotation></semantics></math></mjx-assistive-mml></mjx-container>), which lead to an order of magnitude improvement in the 30 <span data-altimg=\"/cms/asset/cd92d8fa-b6e1-410b-86cf-10ef1c369476/adfm202500237-math-0008.png\"></span><mjx-container ctxtmenu_counter=\"142\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" role=\"application\" sre-explorer- style=\"font-size: 103%; position: relative;\" tabindex=\"0\"><mjx-math aria-hidden=\"true\" location=\"graphic/adfm202500237-math-0008.png\"><mjx-semantics><mjx-mrow data-semantic-annotation=\"clearspeak:unit\" data-semantic-children=\"2,3\" data-semantic-content=\"4\" data-semantic- data-semantic-role=\"implicit\" data-semantic-speech=\"Superscript ring Baseline normal upper C\" data-semantic-type=\"infixop\"><mjx-msup data-semantic-children=\"0,1\" data-semantic- data-semantic-parent=\"5\" data-semantic-role=\"unknown\" data-semantic-type=\"superscript\"><mjx-mrow data-semantic- data-semantic-parent=\"2\" data-semantic-role=\"unknown\" data-semantic-type=\"empty\"></mjx-mrow><mjx-script style=\"vertical-align: 0.363em;\"><mjx-mo data-semantic- data-semantic-parent=\"2\" data-semantic-role=\"multiplication\" data-semantic-type=\"operator\" size=\"s\"><mjx-c></mjx-c></mjx-mo></mjx-script></mjx-msup><mjx-mo data-semantic-added=\"true\" data-semantic- data-semantic-operator=\"infixop,⁢\" data-semantic-parent=\"5\" data-semantic-role=\"multiplication\" data-semantic-type=\"operator\" style=\"margin-left: 0.056em; margin-right: 0.056em;\"><mjx-c></mjx-c></mjx-mo><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></mjx-c></mjx-mi></mjx-mrow></mjx-semantics></mjx-math><mjx-assistive-mml display=\"inline\" unselectable=\"on\"><math altimg=\"urn:x-wiley:1616301X:media:adfm202500237:adfm202500237-math-0008\" display=\"inline\" location=\"graphic/adfm202500237-math-0008.png\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><semantics><mrow data-semantic-=\"\" data-semantic-annotation=\"clearspeak:unit\" data-semantic-children=\"2,3\" data-semantic-content=\"4\" data-semantic-role=\"implicit\" data-semantic-speech=\"Superscript ring Baseline normal upper C\" data-semantic-type=\"infixop\"><msup data-semantic-=\"\" data-semantic-children=\"0,1\" data-semantic-parent=\"5\" data-semantic-role=\"unknown\" data-semantic-type=\"superscript\"><mrow data-semantic-=\"\" data-semantic-parent=\"2\" data-semantic-role=\"unknown\" data-semantic-type=\"empty\"></mrow><mo data-semantic-=\"\" data-semantic-parent=\"2\" data-semantic-role=\"multiplication\" data-semantic-type=\"operator\">∘</mo></msup><mo data-semantic-=\"\" data-semantic-added=\"true\" data-semantic-operator=\"infixop,⁢\" data-semantic-parent=\"5\" data-semantic-role=\"multiplication\" data-semantic-type=\"operator\">⁢</mo><mi data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic-parent=\"5\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\" mathvariant=\"normal\">C</mi></mrow>$^\\circ{\\rm C}$</annotation></semantics></math></mjx-assistive-mml></mjx-container> ionic conductivity of MW-<span data-altimg=\"/cms/asset/f2c046d9-cf7f-4a04-aee3-2e6466a32cf0/adfm202500237-math-0009.png\"></span><mjx-container ctxtmenu_counter=\"143\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" role=\"application\" sre-explorer- style=\"font-size: 103%; position: relative;\" tabindex=\"0\"><mjx-math aria-hidden=\"true\" location=\"graphic/adfm202500237-math-0009.png\"><mjx-semantics><mjx-mrow data-semantic-annotation=\"clearspeak:unit\" data-semantic-children=\"2,5,6\" data-semantic-content=\"7,8\" data-semantic- data-semantic-role=\"implicit\" data-semantic-speech=\"upper L i 6 upper P upper S 5 normal upper I\" data-semantic-type=\"infixop\"><mjx-msub data-semantic-children=\"0,1\" data-semantic- data-semantic-parent=\"9\" 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></mjx-c><mjx-c></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></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\" style=\"margin-left: 0.056em; margin-right: 0.056em;\"><mjx-c></mjx-c></mjx-mo><mjx-msub data-semantic-children=\"3,4\" data-semantic- data-semantic-parent=\"9\" data-semantic-role=\"unknown\" data-semantic-type=\"subscript\"><mjx-mi data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"5\" data-semantic-role=\"unknown\" data-semantic-type=\"identifier\"><mjx-c></mjx-c><mjx-c></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></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\" style=\"margin-left: 0.056em; margin-right: 0.056em;\"><mjx-c></mjx-c></mjx-mo><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"9\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\"><mjx-c></mjx-c></mjx-mi></mjx-mrow></mjx-semantics></mjx-math><mjx-assistive-mml display=\"inline\" unselectable=\"on\"><math altimg=\"urn:x-wiley:1616301X:media:adfm202500237:adfm202500237-math-0009\" display=\"inline\" location=\"graphic/adfm202500237-math-0009.png\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><semantics><mrow data-semantic-=\"\" data-semantic-annotation=\"clearspeak:unit\" data-semantic-children=\"2,5,6\" data-semantic-content=\"7,8\" data-semantic-role=\"implicit\" data-semantic-speech=\"upper L i 6 upper P upper S 5 normal upper I\" data-semantic-type=\"infixop\"><msub data-semantic-=\"\" data-semantic-children=\"0,1\" data-semantic-parent=\"9\" data-semantic-role=\"unknown\" data-semantic-type=\"subscript\"><mi data-semantic-=\"\" data-semantic-font=\"normal\" data-semantic-parent=\"2\" data-semantic-role=\"unknown\" data-semantic-type=\"identifier\">Li</mi><mn data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic-parent=\"2\" data-semantic-role=\"integer\" data-semantic-type=\"number\">6</mn></msub><mo data-semantic-=\"\" data-semantic-added=\"true\" data-semantic-operator=\"infixop,⁢\" data-semantic-parent=\"9\" data-semantic-role=\"multiplication\" data-semantic-type=\"operator\">⁢</mo><msub data-semantic-=\"\" data-semantic-children=\"3,4\" data-semantic-parent=\"9\" data-semantic-role=\"unknown\" data-semantic-type=\"subscript\"><mi data-semantic-=\"\" data-semantic-font=\"normal\" data-semantic-parent=\"5\" data-semantic-role=\"unknown\" data-semantic-type=\"identifier\">PS</mi><mn data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic-parent=\"5\" data-semantic-role=\"integer\" data-semantic-type=\"number\">5</mn></msub><mo data-semantic-=\"\" data-semantic-added=\"true\" data-semantic-operator=\"infixop,⁢\" data-semantic-parent=\"9\" data-semantic-role=\"multiplication\" data-semantic-type=\"operator\">⁢</mo><mi data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic-parent=\"9\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\" mathvariant=\"normal\">I</mi></mrow>${\\rm Li}_6 {\\rm PS}_5{\\rm I}$</annotation></semantics></math></mjx-assistive-mml></mjx-container>. X-ray pair distribution function analysis (XPDF) reveals significant rotational disorder of the <span data-altimg=\"/cms/asset/adef158f-3580-455e-9c38-9bd64dead354/adfm202500237-math-0010.png\"></span><mjx-container ctxtmenu_counter=\"144\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" role=\"application\" sre-explorer- style=\"font-size: 103%; position: relative;\" tabindex=\"0\"><mjx-math aria-hidden=\"true\" location=\"graphic/adfm202500237-math-0010.png\"><mjx-semantics><mjx-msup data-semantic-children=\"2,5\" data-semantic- data-semantic-role=\"unknown\" data-semantic-speech=\"upper P upper S 4 Superscript 3 minus\" data-semantic-type=\"superscript\"><mjx-msub data-semantic-children=\"0,1\" data-semantic- data-semantic-parent=\"6\" 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></mjx-c><mjx-c></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></mjx-c></mjx-mn></mjx-script></mjx-msub><mjx-script style=\"vertical-align: 0.432em;\"><mjx-mrow data-semantic-children=\"3\" data-semantic-content=\"4\" data-semantic- data-semantic-parent=\"6\" data-semantic-role=\"subtraction\" data-semantic-type=\"postfixop\" size=\"s\"><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\"><mjx-c></mjx-c></mjx-mn><mjx-mo data-semantic- data-semantic-operator=\"postfixop,−\" data-semantic-parent=\"5\" data-semantic-role=\"subtraction\" data-semantic-type=\"operator\" rspace=\"1\" space=\"1\"><mjx-c></mjx-c></mjx-mo></mjx-mrow></mjx-script></mjx-msup></mjx-semantics></mjx-math><mjx-assistive-mml display=\"inline\" unselectable=\"on\"><math altimg=\"urn:x-wiley:1616301X:media:adfm202500237:adfm202500237-math-0010\" display=\"inline\" location=\"graphic/adfm202500237-math-0010.png\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><semantics><msup data-semantic-=\"\" data-semantic-children=\"2,5\" data-semantic-role=\"unknown\" data-semantic-speech=\"upper P upper S 4 Superscript 3 minus\" data-semantic-type=\"superscript\"><msub data-semantic-=\"\" data-semantic-children=\"0,1\" data-semantic-parent=\"6\" data-semantic-role=\"unknown\" data-semantic-type=\"subscript\"><mi data-semantic-=\"\" data-semantic-font=\"normal\" data-semantic-parent=\"2\" data-semantic-role=\"unknown\" data-semantic-type=\"identifier\">PS</mi><mn data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic-parent=\"2\" data-semantic-role=\"integer\" data-semantic-type=\"number\">4</mn></msub><mrow data-semantic-=\"\" data-semantic-children=\"3\" data-semantic-content=\"4\" data-semantic-parent=\"6\" data-semantic-role=\"subtraction\" data-semantic-type=\"postfixop\"><mn data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic-parent=\"5\" data-semantic-role=\"integer\" data-semantic-type=\"number\">3</mn><mo data-semantic-=\"\" data-semantic-operator=\"postfixop,−\" data-semantic-parent=\"5\" data-semantic-role=\"subtraction\" data-semantic-type=\"operator\">−</mo></mrow></msup>${{\\mathrm{PS}}_{4}}^{3-}$</annotation></semantics></math></mjx-assistive-mml></mjx-container> units, which is impacted by the synthesis method, choice of halide, and presence of <span data-altimg=\"/cms/asset/2b4ed8d3-5437-4661-9980-6a508651457a/adfm202500237-math-0011.png\"></span><mjx-container ctxtmenu_counter=\"145\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" role=\"application\" sre-explorer- style=\"font-size: 103%; position: relative;\" tabindex=\"0\"><mjx-math aria-hidden=\"true\" location=\"graphic/adfm202500237-math-0011.png\"><mjx-semantics><mjx-msup data-semantic-children=\"0,3\" data-semantic- data-semantic-role=\"latinletter\" data-semantic-speech=\"normal upper S Superscript 2 minus\" data-semantic-type=\"superscript\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"4\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\"><mjx-c></mjx-c></mjx-mi><mjx-script style=\"vertical-align: 0.363em;\"><mjx-mrow data-semantic-children=\"1\" data-semantic-content=\"2\" data-semantic- data-semantic-parent=\"4\" data-semantic-role=\"subtraction\" data-semantic-type=\"postfixop\" size=\"s\"><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\"><mjx-c></mjx-c></mjx-mn><mjx-mo data-semantic- data-semantic-operator=\"postfixop,−\" data-semantic-parent=\"3\" data-semantic-role=\"subtraction\" data-semantic-type=\"operator\" rspace=\"1\" space=\"1\"><mjx-c></mjx-c></mjx-mo></mjx-mrow></mjx-script></mjx-msup></mjx-semantics></mjx-math><mjx-assistive-mml display=\"inline\" unselectable=\"on\"><math altimg=\"urn:x-wiley:1616301X:media:adfm202500237:adfm202500237-math-0011\" display=\"inline\" location=\"graphic/adfm202500237-math-0011.png\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><semantics><msup data-semantic-=\"\" data-semantic-children=\"0,3\" data-semantic-role=\"latinletter\" data-semantic-speech=\"normal upper S Superscript 2 minus\" data-semantic-type=\"superscript\"><mi data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic-parent=\"4\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\" mathvariant=\"normal\">S</mi><mrow data-semantic-=\"\" data-semantic-children=\"1\" data-semantic-content=\"2\" data-semantic-parent=\"4\" data-semantic-role=\"subtraction\" data-semantic-type=\"postfixop\"><mn data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic-parent=\"3\" data-semantic-role=\"integer\" data-semantic-type=\"number\">2</mn><mo data-semantic-=\"\" data-semantic-operator=\"postfixop,−\" data-semantic-parent=\"3\" data-semantic-role=\"subtraction\" data-semantic-type=\"operator\">−</mo></mrow></msup>${\\rm S}^{2-}$</annotation></semantics></math></mjx-assistive-mml></mjx-container>/<span data-altimg=\"/cms/asset/541521b5-68f3-40a9-8961-fd3cb4235c91/adfm202500237-math-0012.png\"></span><mjx-container ctxtmenu_counter=\"146\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" role=\"application\" sre-explorer- style=\"font-size: 103%; position: relative;\" tabindex=\"0\"><mjx-math aria-hidden=\"true\" location=\"graphic/adfm202500237-math-0012.png\"><mjx-semantics><mjx-msup data-semantic-children=\"0,1\" data-semantic- data-semantic-role=\"latinletter\" data-semantic-speech=\"upper X Superscript minus\" data-semantic-type=\"superscript\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"2\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\"><mjx-c></mjx-c></mjx-mi><mjx-script style=\"vertical-align: 0.363em; margin-left: 0.051em;\"><mjx-mo data-semantic- data-semantic-parent=\"2\" data-semantic-role=\"subtraction\" data-semantic-type=\"operator\" size=\"s\"><mjx-c></mjx-c></mjx-mo></mjx-script></mjx-msup></mjx-semantics></mjx-math><mjx-assistive-mml display=\"inline\" unselectable=\"on\"><math altimg=\"urn:x-wiley:1616301X:media:adfm202500237:adfm202500237-math-0012\" display=\"inline\" location=\"graphic/adfm202500237-math-0012.png\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><semantics><msup data-semantic-=\"\" data-semantic-children=\"0,1\" data-semantic-role=\"latinletter\" data-semantic-speech=\"upper X Superscript minus\" data-semantic-type=\"superscript\"><mi data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic-parent=\"2\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\">X</mi><mo data-semantic-=\"\" data-semantic-parent=\"2\" data-semantic-role=\"subtraction\" data-semantic-type=\"operator\">−</mo></msup>$X^-$</annotation></semantics></math></mjx-assistive-mml></mjx-container> site disorder. These rotational displacements are strongly correlated with ion transport, specifically <span data-altimg=\"/cms/asset/281f15f2-f10a-443b-bc96-b3d5d80244af/adfm202500237-math-0013.png\"></span><mjx-container ctxtmenu_counter=\"147\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" role=\"application\" sre-explorer- style=\"font-size: 103%; position: relative;\" tabindex=\"0\"><mjx-math aria-hidden=\"true\" location=\"graphic/adfm202500237-math-0013.png\"><mjx-semantics><mjx-msub data-semantic-children=\"0,1\" data-semantic- data-semantic-role=\"greekletter\" data-semantic-speech=\"sigma 0\" 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></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></mjx-c></mjx-mn></mjx-script></mjx-msub></mjx-semantics></mjx-math><mjx-assistive-mml display=\"inline\" unselectable=\"on\"><math altimg=\"urn:x-wiley:1616301X:media:adfm202500237:adfm202500237-math-0013\" display=\"inline\" location=\"graphic/adfm202500237-math-0013.png\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><semantics><msub data-semantic-=\"\" data-semantic-children=\"0,1\" data-semantic-role=\"greekletter\" data-semantic-speech=\"sigma 0\" data-semantic-type=\"subscript\"><mi data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic-parent=\"2\" data-semantic-role=\"greekletter\" data-semantic-type=\"identifier\">σ</mi><mn data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic-parent=\"2\" data-semantic-role=\"integer\" data-semantic-type=\"number\">0</mn></msub>$\\sigma _0$</annotation></semantics></math></mjx-assistive-mml></mjx-container> and entropy of migration (<span data-altimg=\"/cms/asset/e37e776d-bf3e-4bff-b7dd-87a8dd778d26/adfm202500237-math-0014.png\"></span><mjx-container ctxtmenu_counter=\"148\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" role=\"application\" sre-explorer- style=\"font-size: 103%; position: relative;\" tabindex=\"0\"><mjx-math aria-hidden=\"true\" location=\"graphic/adfm202500237-math-0014.png\"><mjx-semantics><mjx-mrow data-semantic-annotation=\"clearspeak:unit\" data-semantic-children=\"0,3\" data-semantic-content=\"4\" data-semantic- data-semantic-role=\"implicit\" data-semantic-speech=\"normal upper Delta upper S Subscript m\" data-semantic-type=\"infixop\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"5\" data-semantic-role=\"greekletter\" data-semantic-type=\"identifier\"><mjx-c></mjx-c></mjx-mi><mjx-mo data-semantic-added=\"true\" data-semantic- data-semantic-operator=\"infixop,⁢\" data-semantic-parent=\"5\" data-semantic-role=\"multiplication\" data-semantic-type=\"operator\" style=\"margin-left: 0.056em; margin-right: 0.056em;\"><mjx-c></mjx-c></mjx-mo><mjx-msub data-semantic-children=\"1,2\" data-semantic- data-semantic-parent=\"5\" data-semantic-role=\"latinletter\" data-semantic-type=\"subscript\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"3\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\"><mjx-c></mjx-c></mjx-mi><mjx-script style=\"vertical-align: -0.15em; margin-left: -0.032em;\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"3\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\" size=\"s\"><mjx-c></mjx-c></mjx-mi></mjx-script></mjx-msub></mjx-mrow></mjx-semantics></mjx-math><mjx-assistive-mml display=\"inline\" unselectable=\"on\"><math altimg=\"urn:x-wiley:1616301X:media:adfm202500237:adfm202500237-math-0014\" display=\"inline\" location=\"graphic/adfm202500237-math-0014.png\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><semantics><mrow data-semantic-=\"\" data-semantic-annotation=\"clearspeak:unit\" data-semantic-children=\"0,3\" data-semantic-content=\"4\" data-semantic-role=\"implicit\" data-semantic-speech=\"normal upper Delta upper S Subscript m\" data-semantic-type=\"infixop\"><mi data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic-parent=\"5\" data-semantic-role=\"greekletter\" data-semantic-type=\"identifier\" mathvariant=\"normal\">Δ</mi><mo data-semantic-=\"\" data-semantic-added=\"true\" data-semantic-operator=\"infixop,⁢\" data-semantic-parent=\"5\" data-semantic-role=\"multiplication\" data-semantic-type=\"operator\">⁢</mo><msub data-semantic-=\"\" data-semantic-children=\"1,2\" data-semantic-parent=\"5\" data-semantic-role=\"latinletter\" data-semantic-type=\"subscript\"><mi data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic-parent=\"3\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\">S</mi><mi data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic-parent=\"3\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\">m</mi></msub></mrow>$\\Delta S_m$</annotation></semantics></math></mjx-assistive-mml></mjx-container>). Overall, this study demonstrates a rapid synthesis route for preparing high-quality halide argyrodite solid-state electrolytes in less than 20 min, and further unravels atomistic insights into the interplay of structural disorder, rotational dynamics, and ion transport mechanisms.","PeriodicalId":112,"journal":{"name":"Advanced Functional Materials","volume":"4 1","pages":""},"PeriodicalIF":18.5000,"publicationDate":"2025-02-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Tetrahedral Tilting and Lithium-Ion Transport in Halide Argyrodites Prepared by Rapid, Microwave-Assisted Synthesis\",\"authors\":\"Austin M. Shotwell, Maxwell C. Schulze, Philip Yox, Cade Alaniz, Annalise E. Maughan\",\"doi\":\"10.1002/adfm.202500237\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This study demonstrates a rapid, dry, microwave-assisted (MW) synthesis method that enables preparation of halide argyrodites <span data-altimg=\\\"/cms/asset/842c8b3d-4527-49e8-b3cf-e756d2f963cd/adfm202500237-math-0001.png\\\"></span><mjx-container ctxtmenu_counter=\\\"135\\\" ctxtmenu_oldtabindex=\\\"1\\\" jax=\\\"CHTML\\\" role=\\\"application\\\" sre-explorer- style=\\\"font-size: 103%; position: relative;\\\" tabindex=\\\"0\\\"><mjx-math aria-hidden=\\\"true\\\" location=\\\"graphic/adfm202500237-math-0001.png\\\"><mjx-semantics><mjx-mrow data-semantic-annotation=\\\"clearspeak:unit\\\" data-semantic-children=\\\"2,5,6\\\" data-semantic-content=\\\"7,8\\\" data-semantic- data-semantic-role=\\\"implicit\\\" data-semantic-speech=\\\"upper L i 6 upper P upper S 5 upper X\\\" data-semantic-type=\\\"infixop\\\"><mjx-msub data-semantic-children=\\\"0,1\\\" data-semantic- data-semantic-parent=\\\"9\\\" 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></mjx-c><mjx-c></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></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\\\" style=\\\"margin-left: 0.056em; margin-right: 0.056em;\\\"><mjx-c></mjx-c></mjx-mo><mjx-msub data-semantic-children=\\\"3,4\\\" data-semantic- data-semantic-parent=\\\"9\\\" data-semantic-role=\\\"unknown\\\" data-semantic-type=\\\"subscript\\\"><mjx-mi data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"unknown\\\" data-semantic-type=\\\"identifier\\\"><mjx-c></mjx-c><mjx-c></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></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\\\" style=\\\"margin-left: 0.056em; margin-right: 0.056em;\\\"><mjx-c></mjx-c></mjx-mo><mjx-mi data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"italic\\\" data-semantic- data-semantic-parent=\\\"9\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"identifier\\\"><mjx-c></mjx-c></mjx-mi></mjx-mrow></mjx-semantics></mjx-math><mjx-assistive-mml display=\\\"inline\\\" unselectable=\\\"on\\\"><math altimg=\\\"urn:x-wiley:1616301X:media:adfm202500237:adfm202500237-math-0001\\\" display=\\\"inline\\\" location=\\\"graphic/adfm202500237-math-0001.png\\\" xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"><semantics><mrow data-semantic-=\\\"\\\" data-semantic-annotation=\\\"clearspeak:unit\\\" data-semantic-children=\\\"2,5,6\\\" data-semantic-content=\\\"7,8\\\" data-semantic-role=\\\"implicit\\\" data-semantic-speech=\\\"upper L i 6 upper P upper S 5 upper X\\\" data-semantic-type=\\\"infixop\\\"><msub data-semantic-=\\\"\\\" data-semantic-children=\\\"0,1\\\" data-semantic-parent=\\\"9\\\" data-semantic-role=\\\"unknown\\\" data-semantic-type=\\\"subscript\\\"><mi data-semantic-=\\\"\\\" data-semantic-font=\\\"normal\\\" data-semantic-parent=\\\"2\\\" data-semantic-role=\\\"unknown\\\" data-semantic-type=\\\"identifier\\\">Li</mi><mn data-semantic-=\\\"\\\" data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic-parent=\\\"2\\\" data-semantic-role=\\\"integer\\\" data-semantic-type=\\\"number\\\">6</mn></msub><mo data-semantic-=\\\"\\\" data-semantic-added=\\\"true\\\" data-semantic-operator=\\\"infixop,⁢\\\" data-semantic-parent=\\\"9\\\" data-semantic-role=\\\"multiplication\\\" data-semantic-type=\\\"operator\\\">⁢</mo><msub data-semantic-=\\\"\\\" data-semantic-children=\\\"3,4\\\" data-semantic-parent=\\\"9\\\" data-semantic-role=\\\"unknown\\\" data-semantic-type=\\\"subscript\\\"><mi data-semantic-=\\\"\\\" data-semantic-font=\\\"normal\\\" data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"unknown\\\" data-semantic-type=\\\"identifier\\\">PS</mi><mn data-semantic-=\\\"\\\" data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"integer\\\" data-semantic-type=\\\"number\\\">5</mn></msub><mo data-semantic-=\\\"\\\" data-semantic-added=\\\"true\\\" data-semantic-operator=\\\"infixop,⁢\\\" data-semantic-parent=\\\"9\\\" data-semantic-role=\\\"multiplication\\\" data-semantic-type=\\\"operator\\\">⁢</mo><mi data-semantic-=\\\"\\\" data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"italic\\\" data-semantic-parent=\\\"9\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"identifier\\\">X</mi></mrow>${\\\\rm Li}_6 {\\\\rm PS}_5X$</annotation></semantics></math></mjx-assistive-mml></mjx-container> (<span data-altimg=\\\"/cms/asset/60ba913d-6316-4091-9b89-69cc8fb7db9f/adfm202500237-math-0002.png\\\"></span><mjx-container ctxtmenu_counter=\\\"136\\\" ctxtmenu_oldtabindex=\\\"1\\\" jax=\\\"CHTML\\\" role=\\\"application\\\" sre-explorer- style=\\\"font-size: 103%; position: relative;\\\" tabindex=\\\"0\\\"><mjx-math aria-hidden=\\\"true\\\" location=\\\"graphic/adfm202500237-math-0002.png\\\"><mjx-semantics><mjx-mrow data-semantic-children=\\\"0,2\\\" data-semantic-content=\\\"1\\\" data-semantic- data-semantic-role=\\\"equality\\\" data-semantic-speech=\\\"upper X equals\\\" data-semantic-type=\\\"relseq\\\"><mjx-mi data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"italic\\\" data-semantic- data-semantic-parent=\\\"3\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"identifier\\\"><mjx-c></mjx-c></mjx-mi><mjx-mo data-semantic- data-semantic-operator=\\\"relseq,=\\\" data-semantic-parent=\\\"3\\\" data-semantic-role=\\\"equality\\\" data-semantic-type=\\\"relation\\\" rspace=\\\"5\\\" space=\\\"5\\\"><mjx-c></mjx-c></mjx-mo><mjx-mrow data-semantic- data-semantic-parent=\\\"3\\\" data-semantic-role=\\\"unknown\\\" data-semantic-type=\\\"empty\\\"></mjx-mrow></mjx-mrow></mjx-semantics></mjx-math><mjx-assistive-mml display=\\\"inline\\\" unselectable=\\\"on\\\"><math altimg=\\\"urn:x-wiley:1616301X:media:adfm202500237:adfm202500237-math-0002\\\" display=\\\"inline\\\" location=\\\"graphic/adfm202500237-math-0002.png\\\" xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"><semantics><mrow data-semantic-=\\\"\\\" data-semantic-children=\\\"0,2\\\" data-semantic-content=\\\"1\\\" data-semantic-role=\\\"equality\\\" data-semantic-speech=\\\"upper X equals\\\" data-semantic-type=\\\"relseq\\\"><mi data-semantic-=\\\"\\\" data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"italic\\\" data-semantic-parent=\\\"3\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"identifier\\\">X</mi><mo data-semantic-=\\\"\\\" data-semantic-operator=\\\"relseq,=\\\" data-semantic-parent=\\\"3\\\" data-semantic-role=\\\"equality\\\" data-semantic-type=\\\"relation\\\">=</mo><mrow data-semantic-=\\\"\\\" data-semantic-parent=\\\"3\\\" data-semantic-role=\\\"unknown\\\" data-semantic-type=\\\"empty\\\"></mrow></mrow>$X =$</annotation></semantics></math></mjx-assistive-mml></mjx-container> <span data-altimg=\\\"/cms/asset/9da0f50d-3aca-4ed5-9816-0f0e7eccaded/adfm202500237-math-0003.png\\\"></span><mjx-container ctxtmenu_counter=\\\"137\\\" ctxtmenu_oldtabindex=\\\"1\\\" jax=\\\"CHTML\\\" role=\\\"application\\\" sre-explorer- style=\\\"font-size: 103%; position: relative;\\\" tabindex=\\\"0\\\"><mjx-math aria-hidden=\\\"true\\\" location=\\\"graphic/adfm202500237-math-0003.png\\\"><mjx-semantics><mjx-msup data-semantic-children=\\\"0,1\\\" data-semantic- data-semantic-role=\\\"unknown\\\" data-semantic-speech=\\\"upper C l Superscript minus\\\" data-semantic-type=\\\"superscript\\\"><mjx-mi data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"2\\\" data-semantic-role=\\\"unknown\\\" data-semantic-type=\\\"identifier\\\"><mjx-c></mjx-c><mjx-c></mjx-c></mjx-mi><mjx-script style=\\\"vertical-align: 0.432em;\\\"><mjx-mo data-semantic- data-semantic-parent=\\\"2\\\" data-semantic-role=\\\"subtraction\\\" data-semantic-type=\\\"operator\\\" size=\\\"s\\\"><mjx-c></mjx-c></mjx-mo></mjx-script></mjx-msup></mjx-semantics></mjx-math><mjx-assistive-mml display=\\\"inline\\\" unselectable=\\\"on\\\"><math altimg=\\\"urn:x-wiley:1616301X:media:adfm202500237:adfm202500237-math-0003\\\" display=\\\"inline\\\" location=\\\"graphic/adfm202500237-math-0003.png\\\" xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"><semantics><msup data-semantic-=\\\"\\\" data-semantic-children=\\\"0,1\\\" data-semantic-role=\\\"unknown\\\" data-semantic-speech=\\\"upper C l Superscript minus\\\" data-semantic-type=\\\"superscript\\\"><mi data-semantic-=\\\"\\\" data-semantic-font=\\\"normal\\\" data-semantic-parent=\\\"2\\\" data-semantic-role=\\\"unknown\\\" data-semantic-type=\\\"identifier\\\">Cl</mi><mo data-semantic-=\\\"\\\" data-semantic-parent=\\\"2\\\" data-semantic-role=\\\"subtraction\\\" data-semantic-type=\\\"operator\\\">−</mo></msup>${\\\\rm Cl}^-$</annotation></semantics></math></mjx-assistive-mml></mjx-container>, <span data-altimg=\\\"/cms/asset/0bccf977-73ce-443f-95fc-39c4363204af/adfm202500237-math-0004.png\\\"></span><mjx-container ctxtmenu_counter=\\\"138\\\" ctxtmenu_oldtabindex=\\\"1\\\" jax=\\\"CHTML\\\" role=\\\"application\\\" sre-explorer- style=\\\"font-size: 103%; position: relative;\\\" tabindex=\\\"0\\\"><mjx-math aria-hidden=\\\"true\\\" location=\\\"graphic/adfm202500237-math-0004.png\\\"><mjx-semantics><mjx-msup data-semantic-children=\\\"0,1\\\" data-semantic- data-semantic-role=\\\"unknown\\\" data-semantic-speech=\\\"upper B r Superscript minus\\\" data-semantic-type=\\\"superscript\\\"><mjx-mi data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"2\\\" data-semantic-role=\\\"unknown\\\" data-semantic-type=\\\"identifier\\\"><mjx-c></mjx-c><mjx-c></mjx-c></mjx-mi><mjx-script style=\\\"vertical-align: 0.41em;\\\"><mjx-mo data-semantic- data-semantic-parent=\\\"2\\\" data-semantic-role=\\\"subtraction\\\" data-semantic-type=\\\"operator\\\" size=\\\"s\\\"><mjx-c></mjx-c></mjx-mo></mjx-script></mjx-msup></mjx-semantics></mjx-math><mjx-assistive-mml display=\\\"inline\\\" unselectable=\\\"on\\\"><math altimg=\\\"urn:x-wiley:1616301X:media:adfm202500237:adfm202500237-math-0004\\\" display=\\\"inline\\\" location=\\\"graphic/adfm202500237-math-0004.png\\\" xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"><semantics><msup data-semantic-=\\\"\\\" data-semantic-children=\\\"0,1\\\" data-semantic-role=\\\"unknown\\\" data-semantic-speech=\\\"upper B r Superscript minus\\\" data-semantic-type=\\\"superscript\\\"><mi data-semantic-=\\\"\\\" data-semantic-font=\\\"normal\\\" data-semantic-parent=\\\"2\\\" data-semantic-role=\\\"unknown\\\" data-semantic-type=\\\"identifier\\\">Br</mi><mo data-semantic-=\\\"\\\" data-semantic-parent=\\\"2\\\" data-semantic-role=\\\"subtraction\\\" data-semantic-type=\\\"operator\\\">−</mo></msup>${\\\\rm Br}^-$</annotation></semantics></math></mjx-assistive-mml></mjx-container>, <span data-altimg=\\\"/cms/asset/01012690-94a6-4839-bdcf-7234974e5dbd/adfm202500237-math-0005.png\\\"></span><mjx-container ctxtmenu_counter=\\\"139\\\" ctxtmenu_oldtabindex=\\\"1\\\" jax=\\\"CHTML\\\" role=\\\"application\\\" sre-explorer- style=\\\"font-size: 103%; position: relative;\\\" tabindex=\\\"0\\\"><mjx-math aria-hidden=\\\"true\\\" location=\\\"graphic/adfm202500237-math-0005.png\\\"><mjx-semantics><mjx-msup data-semantic-children=\\\"0,1\\\" data-semantic- data-semantic-role=\\\"latinletter\\\" data-semantic-speech=\\\"normal upper I Superscript minus\\\" data-semantic-type=\\\"superscript\\\"><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></mjx-c></mjx-mi><mjx-script style=\\\"vertical-align: 0.363em;\\\"><mjx-mo data-semantic- data-semantic-parent=\\\"2\\\" data-semantic-role=\\\"subtraction\\\" data-semantic-type=\\\"operator\\\" size=\\\"s\\\"><mjx-c></mjx-c></mjx-mo></mjx-script></mjx-msup></mjx-semantics></mjx-math><mjx-assistive-mml display=\\\"inline\\\" unselectable=\\\"on\\\"><math altimg=\\\"urn:x-wiley:1616301X:media:adfm202500237:adfm202500237-math-0005\\\" display=\\\"inline\\\" location=\\\"graphic/adfm202500237-math-0005.png\\\" xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"><semantics><msup data-semantic-=\\\"\\\" data-semantic-children=\\\"0,1\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-speech=\\\"normal upper I Superscript minus\\\" data-semantic-type=\\\"superscript\\\"><mi data-semantic-=\\\"\\\" data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic-parent=\\\"2\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"identifier\\\" mathvariant=\\\"normal\\\">I</mi><mo data-semantic-=\\\"\\\" data-semantic-parent=\\\"2\\\" data-semantic-role=\\\"subtraction\\\" data-semantic-type=\\\"operator\\\">−</mo></msup>${\\\\rm I}^-$</annotation></semantics></math></mjx-assistive-mml></mjx-container>) in less than 20 min. The structures and ion transport properties of the resulting materials are compared with those synthesized by conventional solid-state synthesis methods. The microwave-assisted method leads to increased <span data-altimg=\\\"/cms/asset/b3ccf871-c7f3-4c6b-9151-6dc41eef6409/adfm202500237-math-0006.png\\\"></span><mjx-container ctxtmenu_counter=\\\"140\\\" ctxtmenu_oldtabindex=\\\"1\\\" jax=\\\"CHTML\\\" role=\\\"application\\\" sre-explorer- style=\\\"font-size: 103%; position: relative;\\\" tabindex=\\\"0\\\"><mjx-math aria-hidden=\\\"true\\\" location=\\\"graphic/adfm202500237-math-0006.png\\\"><mjx-semantics><mjx-mrow data-semantic-children=\\\"6,8\\\" data-semantic-content=\\\"2\\\" data-semantic- data-semantic-role=\\\"division\\\" data-semantic-speech=\\\"4 a divided by 4 d\\\" data-semantic-type=\\\"infixop\\\"><mjx-mrow data-semantic-annotation=\\\"clearspeak:simple;clearspeak:unit\\\" data-semantic-children=\\\"0,1\\\" data-semantic-content=\\\"5\\\" data-semantic- data-semantic-parent=\\\"9\\\" data-semantic-role=\\\"implicit\\\" data-semantic-type=\\\"infixop\\\"><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\\\"><mjx-c></mjx-c></mjx-mn><mjx-mo data-semantic-added=\\\"true\\\" data-semantic- data-semantic-operator=\\\"infixop,⁢\\\" data-semantic-parent=\\\"6\\\" data-semantic-role=\\\"multiplication\\\" data-semantic-type=\\\"operator\\\" style=\\\"margin-left: 0.056em; margin-right: 0.056em;\\\"><mjx-c></mjx-c></mjx-mo><mjx-mi data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"italic\\\" data-semantic- data-semantic-parent=\\\"6\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"identifier\\\"><mjx-c></mjx-c></mjx-mi></mjx-mrow><mjx-mo data-semantic- data-semantic-operator=\\\"infixop,/\\\" data-semantic-parent=\\\"9\\\" data-semantic-role=\\\"division\\\" data-semantic-type=\\\"operator\\\" rspace=\\\"1\\\" space=\\\"1\\\"><mjx-c></mjx-c></mjx-mo><mjx-mrow data-semantic-annotation=\\\"clearspeak:simple;clearspeak:unit\\\" data-semantic-children=\\\"3,4\\\" data-semantic-content=\\\"7\\\" data-semantic- data-semantic-parent=\\\"9\\\" data-semantic-role=\\\"implicit\\\" data-semantic-type=\\\"infixop\\\"><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></mjx-c></mjx-mn><mjx-mo data-semantic-added=\\\"true\\\" data-semantic- data-semantic-operator=\\\"infixop,⁢\\\" data-semantic-parent=\\\"8\\\" data-semantic-role=\\\"multiplication\\\" data-semantic-type=\\\"operator\\\" style=\\\"margin-left: 0.056em; margin-right: 0.056em;\\\"><mjx-c></mjx-c></mjx-mo><mjx-mi data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"italic\\\" data-semantic- data-semantic-parent=\\\"8\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"identifier\\\"><mjx-c></mjx-c></mjx-mi></mjx-mrow></mjx-mrow></mjx-semantics></mjx-math><mjx-assistive-mml display=\\\"inline\\\" unselectable=\\\"on\\\"><math altimg=\\\"urn:x-wiley:1616301X:media:adfm202500237:adfm202500237-math-0006\\\" display=\\\"inline\\\" location=\\\"graphic/adfm202500237-math-0006.png\\\" xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"><semantics><mrow data-semantic-=\\\"\\\" data-semantic-children=\\\"6,8\\\" data-semantic-content=\\\"2\\\" data-semantic-role=\\\"division\\\" data-semantic-speech=\\\"4 a divided by 4 d\\\" data-semantic-type=\\\"infixop\\\"><mrow data-semantic-=\\\"\\\" data-semantic-annotation=\\\"clearspeak:simple;clearspeak:unit\\\" data-semantic-children=\\\"0,1\\\" data-semantic-content=\\\"5\\\" data-semantic-parent=\\\"9\\\" data-semantic-role=\\\"implicit\\\" data-semantic-type=\\\"infixop\\\"><mn data-semantic-=\\\"\\\" data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic-parent=\\\"6\\\" data-semantic-role=\\\"integer\\\" data-semantic-type=\\\"number\\\">4</mn><mo data-semantic-=\\\"\\\" data-semantic-added=\\\"true\\\" data-semantic-operator=\\\"infixop,⁢\\\" data-semantic-parent=\\\"6\\\" data-semantic-role=\\\"multiplication\\\" data-semantic-type=\\\"operator\\\">⁢</mo><mi data-semantic-=\\\"\\\" data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"italic\\\" data-semantic-parent=\\\"6\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"identifier\\\">a</mi></mrow><mo data-semantic-=\\\"\\\" data-semantic-operator=\\\"infixop,/\\\" data-semantic-parent=\\\"9\\\" data-semantic-role=\\\"division\\\" data-semantic-type=\\\"operator\\\">/</mo><mrow data-semantic-=\\\"\\\" data-semantic-annotation=\\\"clearspeak:simple;clearspeak:unit\\\" data-semantic-children=\\\"3,4\\\" data-semantic-content=\\\"7\\\" data-semantic-parent=\\\"9\\\" data-semantic-role=\\\"implicit\\\" data-semantic-type=\\\"infixop\\\"><mn data-semantic-=\\\"\\\" data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic-parent=\\\"8\\\" data-semantic-role=\\\"integer\\\" data-semantic-type=\\\"number\\\">4</mn><mo data-semantic-=\\\"\\\" data-semantic-added=\\\"true\\\" data-semantic-operator=\\\"infixop,⁢\\\" data-semantic-parent=\\\"8\\\" data-semantic-role=\\\"multiplication\\\" data-semantic-type=\\\"operator\\\">⁢</mo><mi data-semantic-=\\\"\\\" data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"italic\\\" data-semantic-parent=\\\"8\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"identifier\\\">d</mi></mrow></mrow>$4a/4d$</annotation></semantics></math></mjx-assistive-mml></mjx-container> site disorder and elevated Arrhenius prefactors (<span data-altimg=\\\"/cms/asset/e421870f-81cf-4e10-9ed9-1185bac0d6ad/adfm202500237-math-0007.png\\\"></span><mjx-container ctxtmenu_counter=\\\"141\\\" ctxtmenu_oldtabindex=\\\"1\\\" jax=\\\"CHTML\\\" role=\\\"application\\\" sre-explorer- style=\\\"font-size: 103%; position: relative;\\\" tabindex=\\\"0\\\"><mjx-math aria-hidden=\\\"true\\\" location=\\\"graphic/adfm202500237-math-0007.png\\\"><mjx-semantics><mjx-msub data-semantic-children=\\\"0,1\\\" data-semantic- data-semantic-role=\\\"greekletter\\\" data-semantic-speech=\\\"sigma 0\\\" 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></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></mjx-c></mjx-mn></mjx-script></mjx-msub></mjx-semantics></mjx-math><mjx-assistive-mml display=\\\"inline\\\" unselectable=\\\"on\\\"><math altimg=\\\"urn:x-wiley:1616301X:media:adfm202500237:adfm202500237-math-0007\\\" display=\\\"inline\\\" location=\\\"graphic/adfm202500237-math-0007.png\\\" xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"><semantics><msub data-semantic-=\\\"\\\" data-semantic-children=\\\"0,1\\\" data-semantic-role=\\\"greekletter\\\" data-semantic-speech=\\\"sigma 0\\\" data-semantic-type=\\\"subscript\\\"><mi data-semantic-=\\\"\\\" data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"italic\\\" data-semantic-parent=\\\"2\\\" data-semantic-role=\\\"greekletter\\\" data-semantic-type=\\\"identifier\\\">σ</mi><mn data-semantic-=\\\"\\\" data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic-parent=\\\"2\\\" data-semantic-role=\\\"integer\\\" data-semantic-type=\\\"number\\\">0</mn></msub>$\\\\sigma _0$</annotation></semantics></math></mjx-assistive-mml></mjx-container>), which lead to an order of magnitude improvement in the 30 <span data-altimg=\\\"/cms/asset/cd92d8fa-b6e1-410b-86cf-10ef1c369476/adfm202500237-math-0008.png\\\"></span><mjx-container ctxtmenu_counter=\\\"142\\\" ctxtmenu_oldtabindex=\\\"1\\\" jax=\\\"CHTML\\\" role=\\\"application\\\" sre-explorer- style=\\\"font-size: 103%; position: relative;\\\" tabindex=\\\"0\\\"><mjx-math aria-hidden=\\\"true\\\" location=\\\"graphic/adfm202500237-math-0008.png\\\"><mjx-semantics><mjx-mrow data-semantic-annotation=\\\"clearspeak:unit\\\" data-semantic-children=\\\"2,3\\\" data-semantic-content=\\\"4\\\" data-semantic- data-semantic-role=\\\"implicit\\\" data-semantic-speech=\\\"Superscript ring Baseline normal upper C\\\" data-semantic-type=\\\"infixop\\\"><mjx-msup data-semantic-children=\\\"0,1\\\" data-semantic- data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"unknown\\\" data-semantic-type=\\\"superscript\\\"><mjx-mrow data-semantic- data-semantic-parent=\\\"2\\\" data-semantic-role=\\\"unknown\\\" data-semantic-type=\\\"empty\\\"></mjx-mrow><mjx-script style=\\\"vertical-align: 0.363em;\\\"><mjx-mo data-semantic- data-semantic-parent=\\\"2\\\" data-semantic-role=\\\"multiplication\\\" data-semantic-type=\\\"operator\\\" size=\\\"s\\\"><mjx-c></mjx-c></mjx-mo></mjx-script></mjx-msup><mjx-mo data-semantic-added=\\\"true\\\" data-semantic- data-semantic-operator=\\\"infixop,⁢\\\" data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"multiplication\\\" data-semantic-type=\\\"operator\\\" style=\\\"margin-left: 0.056em; margin-right: 0.056em;\\\"><mjx-c></mjx-c></mjx-mo><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></mjx-c></mjx-mi></mjx-mrow></mjx-semantics></mjx-math><mjx-assistive-mml display=\\\"inline\\\" unselectable=\\\"on\\\"><math altimg=\\\"urn:x-wiley:1616301X:media:adfm202500237:adfm202500237-math-0008\\\" display=\\\"inline\\\" location=\\\"graphic/adfm202500237-math-0008.png\\\" xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"><semantics><mrow data-semantic-=\\\"\\\" data-semantic-annotation=\\\"clearspeak:unit\\\" data-semantic-children=\\\"2,3\\\" data-semantic-content=\\\"4\\\" data-semantic-role=\\\"implicit\\\" data-semantic-speech=\\\"Superscript ring Baseline normal upper C\\\" data-semantic-type=\\\"infixop\\\"><msup data-semantic-=\\\"\\\" data-semantic-children=\\\"0,1\\\" data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"unknown\\\" data-semantic-type=\\\"superscript\\\"><mrow data-semantic-=\\\"\\\" data-semantic-parent=\\\"2\\\" data-semantic-role=\\\"unknown\\\" data-semantic-type=\\\"empty\\\"></mrow><mo data-semantic-=\\\"\\\" data-semantic-parent=\\\"2\\\" data-semantic-role=\\\"multiplication\\\" data-semantic-type=\\\"operator\\\">∘</mo></msup><mo data-semantic-=\\\"\\\" data-semantic-added=\\\"true\\\" data-semantic-operator=\\\"infixop,⁢\\\" data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"multiplication\\\" data-semantic-type=\\\"operator\\\">⁢</mo><mi data-semantic-=\\\"\\\" data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"identifier\\\" mathvariant=\\\"normal\\\">C</mi></mrow>$^\\\\circ{\\\\rm C}$</annotation></semantics></math></mjx-assistive-mml></mjx-container> ionic conductivity of MW-<span data-altimg=\\\"/cms/asset/f2c046d9-cf7f-4a04-aee3-2e6466a32cf0/adfm202500237-math-0009.png\\\"></span><mjx-container ctxtmenu_counter=\\\"143\\\" ctxtmenu_oldtabindex=\\\"1\\\" jax=\\\"CHTML\\\" role=\\\"application\\\" sre-explorer- style=\\\"font-size: 103%; position: relative;\\\" tabindex=\\\"0\\\"><mjx-math aria-hidden=\\\"true\\\" location=\\\"graphic/adfm202500237-math-0009.png\\\"><mjx-semantics><mjx-mrow data-semantic-annotation=\\\"clearspeak:unit\\\" data-semantic-children=\\\"2,5,6\\\" data-semantic-content=\\\"7,8\\\" data-semantic- data-semantic-role=\\\"implicit\\\" data-semantic-speech=\\\"upper L i 6 upper P upper S 5 normal upper I\\\" data-semantic-type=\\\"infixop\\\"><mjx-msub data-semantic-children=\\\"0,1\\\" data-semantic- data-semantic-parent=\\\"9\\\" 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></mjx-c><mjx-c></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></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\\\" style=\\\"margin-left: 0.056em; margin-right: 0.056em;\\\"><mjx-c></mjx-c></mjx-mo><mjx-msub data-semantic-children=\\\"3,4\\\" data-semantic- data-semantic-parent=\\\"9\\\" data-semantic-role=\\\"unknown\\\" data-semantic-type=\\\"subscript\\\"><mjx-mi data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"unknown\\\" data-semantic-type=\\\"identifier\\\"><mjx-c></mjx-c><mjx-c></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></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\\\" style=\\\"margin-left: 0.056em; margin-right: 0.056em;\\\"><mjx-c></mjx-c></mjx-mo><mjx-mi data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"9\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"identifier\\\"><mjx-c></mjx-c></mjx-mi></mjx-mrow></mjx-semantics></mjx-math><mjx-assistive-mml display=\\\"inline\\\" unselectable=\\\"on\\\"><math altimg=\\\"urn:x-wiley:1616301X:media:adfm202500237:adfm202500237-math-0009\\\" display=\\\"inline\\\" location=\\\"graphic/adfm202500237-math-0009.png\\\" xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"><semantics><mrow data-semantic-=\\\"\\\" data-semantic-annotation=\\\"clearspeak:unit\\\" data-semantic-children=\\\"2,5,6\\\" data-semantic-content=\\\"7,8\\\" data-semantic-role=\\\"implicit\\\" data-semantic-speech=\\\"upper L i 6 upper P upper S 5 normal upper I\\\" data-semantic-type=\\\"infixop\\\"><msub data-semantic-=\\\"\\\" data-semantic-children=\\\"0,1\\\" data-semantic-parent=\\\"9\\\" data-semantic-role=\\\"unknown\\\" data-semantic-type=\\\"subscript\\\"><mi data-semantic-=\\\"\\\" data-semantic-font=\\\"normal\\\" data-semantic-parent=\\\"2\\\" data-semantic-role=\\\"unknown\\\" data-semantic-type=\\\"identifier\\\">Li</mi><mn data-semantic-=\\\"\\\" data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic-parent=\\\"2\\\" data-semantic-role=\\\"integer\\\" data-semantic-type=\\\"number\\\">6</mn></msub><mo data-semantic-=\\\"\\\" data-semantic-added=\\\"true\\\" data-semantic-operator=\\\"infixop,⁢\\\" data-semantic-parent=\\\"9\\\" data-semantic-role=\\\"multiplication\\\" data-semantic-type=\\\"operator\\\">⁢</mo><msub data-semantic-=\\\"\\\" data-semantic-children=\\\"3,4\\\" data-semantic-parent=\\\"9\\\" data-semantic-role=\\\"unknown\\\" data-semantic-type=\\\"subscript\\\"><mi data-semantic-=\\\"\\\" data-semantic-font=\\\"normal\\\" data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"unknown\\\" data-semantic-type=\\\"identifier\\\">PS</mi><mn data-semantic-=\\\"\\\" data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"integer\\\" data-semantic-type=\\\"number\\\">5</mn></msub><mo data-semantic-=\\\"\\\" data-semantic-added=\\\"true\\\" data-semantic-operator=\\\"infixop,⁢\\\" data-semantic-parent=\\\"9\\\" data-semantic-role=\\\"multiplication\\\" data-semantic-type=\\\"operator\\\">⁢</mo><mi data-semantic-=\\\"\\\" data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic-parent=\\\"9\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"identifier\\\" mathvariant=\\\"normal\\\">I</mi></mrow>${\\\\rm Li}_6 {\\\\rm PS}_5{\\\\rm I}$</annotation></semantics></math></mjx-assistive-mml></mjx-container>. X-ray pair distribution function analysis (XPDF) reveals significant rotational disorder of the <span data-altimg=\\\"/cms/asset/adef158f-3580-455e-9c38-9bd64dead354/adfm202500237-math-0010.png\\\"></span><mjx-container ctxtmenu_counter=\\\"144\\\" ctxtmenu_oldtabindex=\\\"1\\\" jax=\\\"CHTML\\\" role=\\\"application\\\" sre-explorer- style=\\\"font-size: 103%; position: relative;\\\" tabindex=\\\"0\\\"><mjx-math aria-hidden=\\\"true\\\" location=\\\"graphic/adfm202500237-math-0010.png\\\"><mjx-semantics><mjx-msup data-semantic-children=\\\"2,5\\\" data-semantic- data-semantic-role=\\\"unknown\\\" data-semantic-speech=\\\"upper P upper S 4 Superscript 3 minus\\\" data-semantic-type=\\\"superscript\\\"><mjx-msub data-semantic-children=\\\"0,1\\\" data-semantic- data-semantic-parent=\\\"6\\\" 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></mjx-c><mjx-c></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></mjx-c></mjx-mn></mjx-script></mjx-msub><mjx-script style=\\\"vertical-align: 0.432em;\\\"><mjx-mrow data-semantic-children=\\\"3\\\" data-semantic-content=\\\"4\\\" data-semantic- data-semantic-parent=\\\"6\\\" data-semantic-role=\\\"subtraction\\\" data-semantic-type=\\\"postfixop\\\" size=\\\"s\\\"><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\\\"><mjx-c></mjx-c></mjx-mn><mjx-mo data-semantic- data-semantic-operator=\\\"postfixop,−\\\" data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"subtraction\\\" data-semantic-type=\\\"operator\\\" rspace=\\\"1\\\" space=\\\"1\\\"><mjx-c></mjx-c></mjx-mo></mjx-mrow></mjx-script></mjx-msup></mjx-semantics></mjx-math><mjx-assistive-mml display=\\\"inline\\\" unselectable=\\\"on\\\"><math altimg=\\\"urn:x-wiley:1616301X:media:adfm202500237:adfm202500237-math-0010\\\" display=\\\"inline\\\" location=\\\"graphic/adfm202500237-math-0010.png\\\" xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"><semantics><msup data-semantic-=\\\"\\\" data-semantic-children=\\\"2,5\\\" data-semantic-role=\\\"unknown\\\" data-semantic-speech=\\\"upper P upper S 4 Superscript 3 minus\\\" data-semantic-type=\\\"superscript\\\"><msub data-semantic-=\\\"\\\" data-semantic-children=\\\"0,1\\\" data-semantic-parent=\\\"6\\\" data-semantic-role=\\\"unknown\\\" data-semantic-type=\\\"subscript\\\"><mi data-semantic-=\\\"\\\" data-semantic-font=\\\"normal\\\" data-semantic-parent=\\\"2\\\" data-semantic-role=\\\"unknown\\\" data-semantic-type=\\\"identifier\\\">PS</mi><mn data-semantic-=\\\"\\\" data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic-parent=\\\"2\\\" data-semantic-role=\\\"integer\\\" data-semantic-type=\\\"number\\\">4</mn></msub><mrow data-semantic-=\\\"\\\" data-semantic-children=\\\"3\\\" data-semantic-content=\\\"4\\\" data-semantic-parent=\\\"6\\\" data-semantic-role=\\\"subtraction\\\" data-semantic-type=\\\"postfixop\\\"><mn data-semantic-=\\\"\\\" data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"integer\\\" data-semantic-type=\\\"number\\\">3</mn><mo data-semantic-=\\\"\\\" data-semantic-operator=\\\"postfixop,−\\\" data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"subtraction\\\" data-semantic-type=\\\"operator\\\">−</mo></mrow></msup>${{\\\\mathrm{PS}}_{4}}^{3-}$</annotation></semantics></math></mjx-assistive-mml></mjx-container> units, which is impacted by the synthesis method, choice of halide, and presence of <span data-altimg=\\\"/cms/asset/2b4ed8d3-5437-4661-9980-6a508651457a/adfm202500237-math-0011.png\\\"></span><mjx-container ctxtmenu_counter=\\\"145\\\" ctxtmenu_oldtabindex=\\\"1\\\" jax=\\\"CHTML\\\" role=\\\"application\\\" sre-explorer- style=\\\"font-size: 103%; position: relative;\\\" tabindex=\\\"0\\\"><mjx-math aria-hidden=\\\"true\\\" location=\\\"graphic/adfm202500237-math-0011.png\\\"><mjx-semantics><mjx-msup data-semantic-children=\\\"0,3\\\" data-semantic- data-semantic-role=\\\"latinletter\\\" data-semantic-speech=\\\"normal upper S Superscript 2 minus\\\" data-semantic-type=\\\"superscript\\\"><mjx-mi data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"4\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"identifier\\\"><mjx-c></mjx-c></mjx-mi><mjx-script style=\\\"vertical-align: 0.363em;\\\"><mjx-mrow data-semantic-children=\\\"1\\\" data-semantic-content=\\\"2\\\" data-semantic- data-semantic-parent=\\\"4\\\" data-semantic-role=\\\"subtraction\\\" data-semantic-type=\\\"postfixop\\\" size=\\\"s\\\"><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\\\"><mjx-c></mjx-c></mjx-mn><mjx-mo data-semantic- data-semantic-operator=\\\"postfixop,−\\\" data-semantic-parent=\\\"3\\\" data-semantic-role=\\\"subtraction\\\" data-semantic-type=\\\"operator\\\" rspace=\\\"1\\\" space=\\\"1\\\"><mjx-c></mjx-c></mjx-mo></mjx-mrow></mjx-script></mjx-msup></mjx-semantics></mjx-math><mjx-assistive-mml display=\\\"inline\\\" unselectable=\\\"on\\\"><math altimg=\\\"urn:x-wiley:1616301X:media:adfm202500237:adfm202500237-math-0011\\\" display=\\\"inline\\\" location=\\\"graphic/adfm202500237-math-0011.png\\\" xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"><semantics><msup data-semantic-=\\\"\\\" data-semantic-children=\\\"0,3\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-speech=\\\"normal upper S Superscript 2 minus\\\" data-semantic-type=\\\"superscript\\\"><mi data-semantic-=\\\"\\\" data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic-parent=\\\"4\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"identifier\\\" mathvariant=\\\"normal\\\">S</mi><mrow data-semantic-=\\\"\\\" data-semantic-children=\\\"1\\\" data-semantic-content=\\\"2\\\" data-semantic-parent=\\\"4\\\" data-semantic-role=\\\"subtraction\\\" data-semantic-type=\\\"postfixop\\\"><mn data-semantic-=\\\"\\\" data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic-parent=\\\"3\\\" data-semantic-role=\\\"integer\\\" data-semantic-type=\\\"number\\\">2</mn><mo data-semantic-=\\\"\\\" data-semantic-operator=\\\"postfixop,−\\\" data-semantic-parent=\\\"3\\\" data-semantic-role=\\\"subtraction\\\" data-semantic-type=\\\"operator\\\">−</mo></mrow></msup>${\\\\rm S}^{2-}$</annotation></semantics></math></mjx-assistive-mml></mjx-container>/<span data-altimg=\\\"/cms/asset/541521b5-68f3-40a9-8961-fd3cb4235c91/adfm202500237-math-0012.png\\\"></span><mjx-container ctxtmenu_counter=\\\"146\\\" ctxtmenu_oldtabindex=\\\"1\\\" jax=\\\"CHTML\\\" role=\\\"application\\\" sre-explorer- style=\\\"font-size: 103%; position: relative;\\\" tabindex=\\\"0\\\"><mjx-math aria-hidden=\\\"true\\\" location=\\\"graphic/adfm202500237-math-0012.png\\\"><mjx-semantics><mjx-msup data-semantic-children=\\\"0,1\\\" data-semantic- data-semantic-role=\\\"latinletter\\\" data-semantic-speech=\\\"upper X Superscript minus\\\" data-semantic-type=\\\"superscript\\\"><mjx-mi data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"italic\\\" data-semantic- data-semantic-parent=\\\"2\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"identifier\\\"><mjx-c></mjx-c></mjx-mi><mjx-script style=\\\"vertical-align: 0.363em; margin-left: 0.051em;\\\"><mjx-mo data-semantic- data-semantic-parent=\\\"2\\\" data-semantic-role=\\\"subtraction\\\" data-semantic-type=\\\"operator\\\" size=\\\"s\\\"><mjx-c></mjx-c></mjx-mo></mjx-script></mjx-msup></mjx-semantics></mjx-math><mjx-assistive-mml display=\\\"inline\\\" unselectable=\\\"on\\\"><math altimg=\\\"urn:x-wiley:1616301X:media:adfm202500237:adfm202500237-math-0012\\\" display=\\\"inline\\\" location=\\\"graphic/adfm202500237-math-0012.png\\\" xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"><semantics><msup data-semantic-=\\\"\\\" data-semantic-children=\\\"0,1\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-speech=\\\"upper X Superscript minus\\\" data-semantic-type=\\\"superscript\\\"><mi data-semantic-=\\\"\\\" data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"italic\\\" data-semantic-parent=\\\"2\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"identifier\\\">X</mi><mo data-semantic-=\\\"\\\" data-semantic-parent=\\\"2\\\" data-semantic-role=\\\"subtraction\\\" data-semantic-type=\\\"operator\\\">−</mo></msup>$X^-$</annotation></semantics></math></mjx-assistive-mml></mjx-container> site disorder. These rotational displacements are strongly correlated with ion transport, specifically <span data-altimg=\\\"/cms/asset/281f15f2-f10a-443b-bc96-b3d5d80244af/adfm202500237-math-0013.png\\\"></span><mjx-container ctxtmenu_counter=\\\"147\\\" ctxtmenu_oldtabindex=\\\"1\\\" jax=\\\"CHTML\\\" role=\\\"application\\\" sre-explorer- style=\\\"font-size: 103%; position: relative;\\\" tabindex=\\\"0\\\"><mjx-math aria-hidden=\\\"true\\\" location=\\\"graphic/adfm202500237-math-0013.png\\\"><mjx-semantics><mjx-msub data-semantic-children=\\\"0,1\\\" data-semantic- data-semantic-role=\\\"greekletter\\\" data-semantic-speech=\\\"sigma 0\\\" 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></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></mjx-c></mjx-mn></mjx-script></mjx-msub></mjx-semantics></mjx-math><mjx-assistive-mml display=\\\"inline\\\" unselectable=\\\"on\\\"><math altimg=\\\"urn:x-wiley:1616301X:media:adfm202500237:adfm202500237-math-0013\\\" display=\\\"inline\\\" location=\\\"graphic/adfm202500237-math-0013.png\\\" xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"><semantics><msub data-semantic-=\\\"\\\" data-semantic-children=\\\"0,1\\\" data-semantic-role=\\\"greekletter\\\" data-semantic-speech=\\\"sigma 0\\\" data-semantic-type=\\\"subscript\\\"><mi data-semantic-=\\\"\\\" data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"italic\\\" data-semantic-parent=\\\"2\\\" data-semantic-role=\\\"greekletter\\\" data-semantic-type=\\\"identifier\\\">σ</mi><mn data-semantic-=\\\"\\\" data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic-parent=\\\"2\\\" data-semantic-role=\\\"integer\\\" data-semantic-type=\\\"number\\\">0</mn></msub>$\\\\sigma _0$</annotation></semantics></math></mjx-assistive-mml></mjx-container> and entropy of migration (<span data-altimg=\\\"/cms/asset/e37e776d-bf3e-4bff-b7dd-87a8dd778d26/adfm202500237-math-0014.png\\\"></span><mjx-container ctxtmenu_counter=\\\"148\\\" ctxtmenu_oldtabindex=\\\"1\\\" jax=\\\"CHTML\\\" role=\\\"application\\\" sre-explorer- style=\\\"font-size: 103%; position: relative;\\\" tabindex=\\\"0\\\"><mjx-math aria-hidden=\\\"true\\\" location=\\\"graphic/adfm202500237-math-0014.png\\\"><mjx-semantics><mjx-mrow data-semantic-annotation=\\\"clearspeak:unit\\\" data-semantic-children=\\\"0,3\\\" data-semantic-content=\\\"4\\\" data-semantic- data-semantic-role=\\\"implicit\\\" data-semantic-speech=\\\"normal upper Delta upper S Subscript m\\\" data-semantic-type=\\\"infixop\\\"><mjx-mi data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"greekletter\\\" data-semantic-type=\\\"identifier\\\"><mjx-c></mjx-c></mjx-mi><mjx-mo data-semantic-added=\\\"true\\\" data-semantic- data-semantic-operator=\\\"infixop,⁢\\\" data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"multiplication\\\" data-semantic-type=\\\"operator\\\" style=\\\"margin-left: 0.056em; margin-right: 0.056em;\\\"><mjx-c></mjx-c></mjx-mo><mjx-msub data-semantic-children=\\\"1,2\\\" data-semantic- data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"subscript\\\"><mjx-mi data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"italic\\\" data-semantic- data-semantic-parent=\\\"3\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"identifier\\\"><mjx-c></mjx-c></mjx-mi><mjx-script style=\\\"vertical-align: -0.15em; margin-left: -0.032em;\\\"><mjx-mi data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"italic\\\" data-semantic- data-semantic-parent=\\\"3\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"identifier\\\" size=\\\"s\\\"><mjx-c></mjx-c></mjx-mi></mjx-script></mjx-msub></mjx-mrow></mjx-semantics></mjx-math><mjx-assistive-mml display=\\\"inline\\\" unselectable=\\\"on\\\"><math altimg=\\\"urn:x-wiley:1616301X:media:adfm202500237:adfm202500237-math-0014\\\" display=\\\"inline\\\" location=\\\"graphic/adfm202500237-math-0014.png\\\" xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"><semantics><mrow data-semantic-=\\\"\\\" data-semantic-annotation=\\\"clearspeak:unit\\\" data-semantic-children=\\\"0,3\\\" data-semantic-content=\\\"4\\\" data-semantic-role=\\\"implicit\\\" data-semantic-speech=\\\"normal upper Delta upper S Subscript m\\\" data-semantic-type=\\\"infixop\\\"><mi data-semantic-=\\\"\\\" data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"greekletter\\\" data-semantic-type=\\\"identifier\\\" mathvariant=\\\"normal\\\">Δ</mi><mo data-semantic-=\\\"\\\" data-semantic-added=\\\"true\\\" data-semantic-operator=\\\"infixop,⁢\\\" data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"multiplication\\\" data-semantic-type=\\\"operator\\\">⁢</mo><msub data-semantic-=\\\"\\\" data-semantic-children=\\\"1,2\\\" data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"subscript\\\"><mi data-semantic-=\\\"\\\" data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"italic\\\" data-semantic-parent=\\\"3\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"identifier\\\">S</mi><mi data-semantic-=\\\"\\\" data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"italic\\\" data-semantic-parent=\\\"3\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"identifier\\\">m</mi></msub></mrow>$\\\\Delta S_m$</annotation></semantics></math></mjx-assistive-mml></mjx-container>). Overall, this study demonstrates a rapid synthesis route for preparing high-quality halide argyrodite solid-state electrolytes in less than 20 min, and further unravels atomistic insights into the interplay of structural disorder, rotational dynamics, and ion transport mechanisms.\",\"PeriodicalId\":112,\"journal\":{\"name\":\"Advanced Functional Materials\",\"volume\":\"4 1\",\"pages\":\"\"},\"PeriodicalIF\":18.5000,\"publicationDate\":\"2025-02-12\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Advanced Functional Materials\",\"FirstCategoryId\":\"88\",\"ListUrlMain\":\"https://doi.org/10.1002/adfm.202500237\",\"RegionNum\":1,\"RegionCategory\":\"材料科学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"CHEMISTRY, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Advanced Functional Materials","FirstCategoryId":"88","ListUrlMain":"https://doi.org/10.1002/adfm.202500237","RegionNum":1,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"CHEMISTRY, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0

摘要

本研究展示了一种快速、干燥的微波辅助(MW)合成方法,它能在 20 分钟内制备出卤化物氩离子 Li6PS5X${\rm Li}_6 {\rm PS}_5X$ (X=$X =$ Cl-${/rm Cl}^-$,Br-${/rm Br}^-$,I-${/rm I}^-$)。将所得材料的结构和离子传输特性与传统固态合成方法合成的材料进行了比较。微波辅助法增加了 4a/4d$4a/4d$ 位点的无序性,提高了阿伦尼乌斯前系数(σ0$\sigma _0$),从而使 MW-Li6PS5I$\{rm Li}_6 {\rm PS}_5\{rm I}$ 的 30 ∘C$^\circ{rm C}$ 离子电导率提高了一个数量级。X 射线对分布函数分析(XPDF)揭示了 PS43-${\mathrm{PS}}_{4}}^{3-}$ 单元的显著旋转无序性,这种无序性受到合成方法、卤化物的选择以及 S2-${\rm S}^{2-}$/X-$X^-$ 位点无序性的影响。这些旋转位移与离子迁移密切相关,特别是 σ0$\sigma _0$ 和迁移熵(ΔSm$\Delta S_m$)。总之,这项研究展示了一条在 20 分钟内制备高质量卤化物箭石固态电解质的快速合成路线,并进一步揭示了结构无序、旋转动力学和离子传输机制之间相互作用的原子论观点。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

Tetrahedral Tilting and Lithium-Ion Transport in Halide Argyrodites Prepared by Rapid, Microwave-Assisted Synthesis

Tetrahedral Tilting and Lithium-Ion Transport in Halide Argyrodites Prepared by Rapid, Microwave-Assisted Synthesis
This study demonstrates a rapid, dry, microwave-assisted (MW) synthesis method that enables preparation of halide argyrodites Li6PS5X${\rm Li}_6 {\rm PS}_5X$ (X=$X =$ Cl${\rm Cl}^-$, Br${\rm Br}^-$, I${\rm I}^-$) in less than 20 min. The structures and ion transport properties of the resulting materials are compared with those synthesized by conventional solid-state synthesis methods. The microwave-assisted method leads to increased 4a/4d$4a/4d$ site disorder and elevated Arrhenius prefactors (σ0$\sigma _0$), which lead to an order of magnitude improvement in the 30 C$^\circ{\rm C}$ ionic conductivity of MW-Li6PS5I${\rm Li}_6 {\rm PS}_5{\rm I}$. X-ray pair distribution function analysis (XPDF) reveals significant rotational disorder of the PS43${{\mathrm{PS}}_{4}}^{3-}$ units, which is impacted by the synthesis method, choice of halide, and presence of S2${\rm S}^{2-}$/X$X^-$ site disorder. These rotational displacements are strongly correlated with ion transport, specifically σ0$\sigma _0$ and entropy of migration (ΔSm$\Delta S_m$). Overall, this study demonstrates a rapid synthesis route for preparing high-quality halide argyrodite solid-state electrolytes in less than 20 min, and further unravels atomistic insights into the interplay of structural disorder, rotational dynamics, and ion transport mechanisms.
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来源期刊
Advanced Functional Materials
Advanced Functional Materials 工程技术-材料科学:综合
CiteScore
29.50
自引率
4.20%
发文量
2086
审稿时长
2.1 months
期刊介绍: Firmly established as a top-tier materials science journal, Advanced Functional Materials reports breakthrough research in all aspects of materials science, including nanotechnology, chemistry, physics, and biology every week. Advanced Functional Materials is known for its rapid and fair peer review, quality content, and high impact, making it the first choice of the international materials science community.
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