Modeling of Stacking Fault Energy in Hexagonal-Close-Packed Metals

<div>The GSF energy for the basal plane along <svg height="13.9835pt" id="M128" style="vertical-align:-2.189799pt" version="1.1" viewbox="-0.0498162 -11.7937 36.5579 13.9835" width="36.5579pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M368 -163L175 271L368 704H302L110 274V268L302 -163H368Z" id="g50-61"></path><glyph.data ascent="3443" descent="-2856" horiz-adv-x="423" vert-adv-y="423"></glyph.data></g><g transform="matrix(.013,0,0,-0.013,5.499,0)"><path d="M389 0V32C297 38 291 46 291 118V635C234 613 175 595 109 583V556L161 554C203 552 207 547 207 497V118C207 46 201 38 110 32V0H389Z" id="g50-50"></path><glyph.data ascent="3443" descent="-2856" horiz-adv-x="487" vert-adv-y="487"></glyph.data></g><g transform="matrix(.013,0,0,-0.013,11.83,0)"><path d="M389 0V32C297 38 291 46 291 118V635C234 613 175 595 109 583V556L161 554C203 552 207 547 207 497V118C207 46 201 38 110 32V0H389Z" id="g50-50"></path><glyph.data ascent="3443" descent="-2856" horiz-adv-x="487" vert-adv-y="487"></glyph.data></g><rect height="0.69159" width="6.35476" x="18.161" y="-11.0523"></rect><g transform="matrix(.013,0,0,-0.013,18.161,0)"><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><g transform="matrix(.013,0,0,-0.013,24.516,0)"><path d="M245 635C92 635 37 457 37 312C37 149 91 -12 244 -12C395 -12 449 166 449 312C449 469 395 635 245 635ZM243 598C332 598 358 454 358 312C358 173 334 26 245 26C158 26 128 174 128 313S152 598 243 598Z" id="g50-49"></path><glyph.data ascent="3443" descent="-2856" horiz-adv-x="487" vert-adv-y="487"></glyph.data></g><g transform="matrix(.013,0,0,-0.013,30.847,0)"><path d="M313 268V274L121 704H55L248 271L55 -163H121L313 268Z" id="g50-63"></path><glyph.data ascent="3443" descent="-2856" horiz-adv-x="423" vert-adv-y="423"></glyph.data></g></svg> and <svg height="13.9835pt" id="M129" style="vertical-align:-2.189799pt" version="1.1" viewbox="-0.0498162 -11.7937 36.5579 13.9835" width="36.5579pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M368 -163L175 271L368 704H302L110 274V268L302 -163H368Z" id="g50-61"></path><glyph.data ascent="3443" descent="-2856" horiz-adv-x="423" vert-adv-y="423"></glyph.data></g><g transform="matrix(.013,0,0,-0.013,5.499,0)"><path d="M389 0V32C297 38 291 46 291 118V635C234 613 175 595 109 583V556L161 554C203 552 207 547 207 497V118C207 46 201 38 110 32V0H389Z" id="g50-50"></path><glyph.data ascent="3443" descent="-2856" horiz-adv-x="487" vert-adv-y="487"></glyph.data></g><g transform="matrix(.013,0,0,-0.013,11.83,0)"><path d="M245 635C92 635 37 457 37 312C37 149 91 -12 244 -12C395 -12 449 166 449 312C449 469 395 635 245 635ZM243 598C332 598 358 454 358 312C358 173 334 26 245 26C158 26 128 174 128 313S152 598 243 598Z" id="g50-49"></path><glyph.data ascent="3443" descent="-2856" horiz-adv-x="487" vert-adv-y="487"></glyph.data></g><rect height="0.69159" width="6.35476" x="18.161" y="-11.0523"></rect><g transform="matrix(.013,0,0,-0.013,18.161,0)"><path d="M389 0V32C297 38 291 46 291 118V635C234 613 175 595 109 583V556L161 554C203 552 207 547 207 497V118C207 46 201 38 110 32V0H389Z" id="g50-50"></path><glyph.data ascent="3443" descent="-2856" horiz-adv-x="487" vert-adv-y="487"></glyph.data></g><g transform="matrix(.013,0,0,-0.013,24.516,0)"><path d="M245 635C92 635 37 457 37 312C37 149 91 -12 244 -12C395 -12 449 166 449 312C449 469 395 635 245 635ZM243 598C332 598 358 454 358 312C358 173 334 26 245 26C158 26 128 174 128 313S152 598 243 598Z" id="g50-49"></path><glyph.data ascent="3443" descent="-2856" horiz-adv-x="487" vert-adv-y="487"></glyph.data></g><g transform="matrix(.013,0,0,-0.013,30.847,0)"><path d="M313 268V274L121 704H55L248 271L55 -163H121L313 268Z" id="g50-63"></path><glyph.data ascent="3443" descent="-2856" horiz-adv-x="423" vert-adv-y="423"></glyph.data></g></svg> directions. The figure is adapted from [<a href="/journals/amse/2015/639519/#B24">24</a>].</div>

Advances in Materials Science and Engineering

Modeling of Stacking Fault Energy in Hexagonal-Close-Packed Metals

Figure 1