Feasible Time Evolution Model That Predicts Breakdown in Thin SiO<sub>2</sub> Films within Unstressed Interval after Constant-Current Stress

<div>Distributions of <svg height="12.7467pt" id="M58" style="vertical-align:-3.40878pt" version="1.1" viewbox="-0.0498162 -9.33792 18.052 12.7467" width="18.052pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.0135,0,0,-0.0135,0,0)"><path d="M620 675H597C578 656 570 650 541 650H144C112 650 104 653 94 675H72C59 618 42 552 23 493L53 491C71 534 88 564 105 585C124 608 144 615 238 615H290L197 121C182 40 174 34 88 28L82 0H361L367 28C275 34 266 38 281 121L374 615H441C522 615 543 608 553 583C562 560 566 531 565 493L597 494C603 551 612 629 620 675Z" id="g113-85"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="637" vert-adv-y="637"></glyph.data></g><g transform="matrix(.0095,0,0,-0.0095,7.479,3.264)"><path d="M152 404V712C115 698 54 683 7 677V654C71 648 73 642 73 579V24C128 -2 179 -12 220 -12C353 -12 471 92 471 238C471 357 381 449 274 449C262 449 249 446 233 439L152 404ZM152 374C170 384 202 393 230 393C313 393 382 326 382 213C382 97 330 26 246 26C194 26 165 62 158 81C154 91 152 101 152 116V374Z" id="g190-99"></path><glyph.data ascent="989" descent="-360" horiz-adv-x="508" vert-adv-y="508"></glyph.data></g><g transform="matrix(.0095,0,0,-0.0095,12.382,3.264)"><path d="M517 51L485 54C448 58 441 63 441 115V712C404 700 337 684 285 678V653C357 648 362 645 362 580V437C339 446 309 449 295 449C159 449 38 340 38 201C38 61 143 -12 223 -12C234 -12 261 -6 301 17L362 53V-12C420 9 495 22 517 26V51ZM362 85C338 67 301 51 266 51C201 51 128 109 128 228C128 373 212 411 259 411C296 411 338 395 362 360V85Z" id="g190-101"></path><glyph.data ascent="989" descent="-360" horiz-adv-x="528" vert-adv-y="528"></glyph.data></g></svg> for various stress conditions. Triangles show the <svg height="12.7467pt" id="M59" style="vertical-align:-3.40878pt" version="1.1" viewbox="-0.0498162 -9.33792 18.052 12.7467" width="18.052pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.0135,0,0,-0.0135,0,0)"><path d="M620 675H597C578 656 570 650 541 650H144C112 650 104 653 94 675H72C59 618 42 552 23 493L53 491C71 534 88 564 105 585C124 608 144 615 238 615H290L197 121C182 40 174 34 88 28L82 0H361L367 28C275 34 266 38 281 121L374 615H441C522 615 543 608 553 583C562 560 566 531 565 493L597 494C603 551 612 629 620 675Z" id="g113-85"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="637" vert-adv-y="637"></glyph.data></g><g transform="matrix(.0095,0,0,-0.0095,7.479,3.264)"><path d="M152 404V712C115 698 54 683 7 677V654C71 648 73 642 73 579V24C128 -2 179 -12 220 -12C353 -12 471 92 471 238C471 357 381 449 274 449C262 449 249 446 233 439L152 404ZM152 374C170 384 202 393 230 393C313 393 382 326 382 213C382 97 330 26 246 26C194 26 165 62 158 81C154 91 152 101 152 116V374Z" id="g190-99"></path><glyph.data ascent="989" descent="-360" horiz-adv-x="508" vert-adv-y="508"></glyph.data></g><g transform="matrix(.0095,0,0,-0.0095,12.382,3.264)"><path d="M517 51L485 54C448 58 441 63 441 115V712C404 700 337 684 285 678V653C357 648 362 645 362 580V437C339 446 309 449 295 449C159 449 38 340 38 201C38 61 143 -12 223 -12C234 -12 261 -6 301 17L362 53V-12C420 9 495 22 517 26V51ZM362 85C338 67 301 51 266 51C201 51 128 109 128 228C128 373 212 411 259 411C296 411 338 395 362 360V85Z" id="g190-101"></path><glyph.data ascent="989" descent="-360" horiz-adv-x="528" vert-adv-y="528"></glyph.data></g></svg> distribution for the conventional CCS<i> without any unstressed interval</i>. Open and closed circles show <svg height="12.7467pt" id="M60" style="vertical-align:-3.40878pt" version="1.1" viewbox="-0.0498162 -9.33792 18.052 12.7467" width="18.052pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.0135,0,0,-0.0135,0,0)"><path d="M620 675H597C578 656 570 650 541 650H144C112 650 104 653 94 675H72C59 618 42 552 23 493L53 491C71 534 88 564 105 585C124 608 144 615 238 615H290L197 121C182 40 174 34 88 28L82 0H361L367 28C275 34 266 38 281 121L374 615H441C522 615 543 608 553 583C562 560 566 531 565 493L597 494C603 551 612 629 620 675Z" id="g113-85"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="637" vert-adv-y="637"></glyph.data></g><g transform="matrix(.0095,0,0,-0.0095,7.479,3.264)"><path d="M152 404V712C115 698 54 683 7 677V654C71 648 73 642 73 579V24C128 -2 179 -12 220 -12C353 -12 471 92 471 238C471 357 381 449 274 449C262 449 249 446 233 439L152 404ZM152 374C170 384 202 393 230 393C313 393 382 326 382 213C382 97 330 26 246 26C194 26 165 62 158 81C154 91 152 101 152 116V374Z" id="g190-99"></path><glyph.data ascent="989" descent="-360" horiz-adv-x="508" vert-adv-y="508"></glyph.data></g><g transform="matrix(.0095,0,0,-0.0095,12.382,3.264)"><path d="M517 51L485 54C448 58 441 63 441 115V712C404 700 337 684 285 678V653C357 648 362 645 362 580V437C339 446 309 449 295 449C159 449 38 340 38 201C38 61 143 -12 223 -12C234 -12 261 -6 301 17L362 53V-12C420 9 495 22 517 26V51ZM362 85C338 67 301 51 266 51C201 51 128 109 128 228C128 373 212 411 259 411C296 411 338 395 362 360V85Z" id="g190-101"></path><glyph.data ascent="989" descent="-360" horiz-adv-x="528" vert-adv-y="528"></glyph.data></g></svg> distributions for the PSMIs with <svg height="12.4067pt" id="M61" style="vertical-align:-3.408751pt" version="1.1" viewbox="-0.0498162 -8.99795 31.1382 12.4067" width="31.1382pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g 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390C351 390 377 348 377 275V103C377 37 368 32 306 26V0H520V26C465 32 456 38 456 101V296C456 314 455 326 453 338C491 369 529 390 565 390C628 390 653 345 653 274V107C653 36 642 32 583 26V0H797Z" id="g190-110"></path><glyph.data ascent="989" descent="-360" horiz-adv-x="819" vert-adv-y="819"></glyph.data></g><g transform="matrix(.0095,0,0,-0.0095,11.138,-5.984)"><path d="M414 144C384 79 371 75 317 75H135L276 221C367 316 408 376 408 465C408 570 327 635 237 635C179 635 131 609 100 575L42 494L67 471C94 510 138 565 205 565C277 565 321 517 321 435C321 348 258 270 195 195C146 137 88 81 33 26V0H411C423 44 433 88 446 135L414 144Z" id="g50-51"></path><glyph.data ascent="3443" descent="-2856" horiz-adv-x="487" vert-adv-y="487"></glyph.data></g></svg> with no unstressed interval, respectively.</div>

Advances in Materials Science and Engineering

fig2

Figure 2

Figure 2: Feasible Time Evolution Model That Predicts Breakdown in Thin SiO<sub>2</sub> Films within Unstressed Interval after Constant-Current Stress 

Advances in Materials Science and Engineering

Feasible Time Evolution Model That Predicts Breakdown in Thin SiO2 Films within Unstressed Interval after Constant-Current Stress

Figure 2

Feasible Time Evolution Model That Predicts Breakdown in Thin SiO₂ Films within Unstressed Interval after Constant-Current Stress