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1.442-.379.179-.2.308-.578.308-1.371 0-.765-.123-1.242-.37-1.554-.233-.296-.693-.587-1.713-.7Z"></path><path d="M6.25 9.037a.75.75 0 0 1 .75.75v1.501a.75.75 0 0 1-1.5 0V9.787a.75.75 0 0 1 .75-.75Zm4.25.75v1.501a.75.75 0 0 1-1.5 0V9.787a.75.75 0 0 1 1.5 0Z"></path></svg>GitHub Copilot</span><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--muted___rE6mh Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS NavLink-module__subtitle__X4gkW">Write better code with AI</span></span></a></li><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0 NavLink-module__link__EG3d4" href="https://github.com/features/ai/github-app" 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class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--muted___rE6mh Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS NavLink-module__subtitle__X4gkW">Direct agents from issue to merge</span></span></a></li><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0 NavLink-module__link__EG3d4" href="https://github.com/mcp" data-analytics-event="{&quot;action&quot;:&quot;mcp_registry&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;platform&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;mcp_registry_link_platform_navbar&quot;}"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy 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0 0 0-2.94 2.08 2.08 0 0 0-2.94 0l-4.799 4.8A.75.75 0 0 1 .72 5.92Z"></path><path d="M7.52 3.12a.749.749 0 1 1 1.06 1.06L5.731 7.03A2.079 2.079 0 0 0 8.67 9.97l2.85-2.85a.749.749 0 1 1 1.06 1.06l-2.849 2.85A3.578 3.578 0 0 1 4.67 5.97Z"></path></svg>MCP Registry</span><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--muted___rE6mh Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS NavLink-module__subtitle__X4gkW">Integrate external tools</span></span></a></li></ul></div></li><li><div class="NavGroup-module__group__W8SqJ"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--monospace___QXHDQ Primer_Brand__Text-module__Text--muted___rE6mh Primer_Brand__Text-module__Text--100___B2ueX Primer_Brand__Text-module__Text--weight-medium___qJKf_ NavGroup-module__title__Wzxz2" id="_R_9knd_">DEVELOPER WORKFLOWS</span><ul 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Primer_Brand__Link-module__Link--label___jM8Ty"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Text-module__Text--weight-medium___qJKf_ NavLink-module__title__Q7t0p"><svg data-component="Octicon" aria-hidden="true" focusable="false" class="octicon octicon-codespaces NavLink-module__icon__ltGNM" viewBox="0 0 16 16" width="16" height="16" fill="currentColor" display="inline-block" overflow="visible" style="vertical-align:text-bottom"><path d="M0 11.25c0-.966.784-1.75 1.75-1.75h12.5c.966 0 1.75.784 1.75 1.75v3A1.75 1.75 0 0 1 14.25 16H1.75A1.75 1.75 0 0 1 0 14.25Zm2-9.5C2 .784 2.784 0 3.75 0h8.5C13.216 0 14 .784 14 1.75v5a1.75 1.75 0 0 1-1.75 1.75h-8.5A1.75 1.75 0 0 1 2 6.75Zm1.75-.25a.25.25 0 0 0-.25.25v5c0 .138.112.25.25.25h8.5a.25.25 0 0 0 .25-.25v-5a.25.25 0 0 0-.25-.25Zm-2 9.5a.25.25 0 0 0-.25.25v3c0 .138.112.25.25.25h12.5a.25.25 0 0 0 .25-.25v-3a.25.25 0 0 0-.25-.25Z"></path><path d="M7 12.75a.75.75 0 0 1 .75-.75h4.5a.75.75 0 0 1 0 1.5h-4.5a.75.75 0 0 1-.75-.75Zm-4 0a.75.75 0 0 1 .75-.75h.5a.75.75 0 0 1 0 1.5h-.5a.75.75 0 0 1-.75-.75Z"></path></svg>Codespaces</span><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--muted___rE6mh Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS NavLink-module__subtitle__X4gkW">Instant dev environments</span></span></a></li><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0 NavLink-module__link__EG3d4" href="https://github.com/features/issues" 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NavLink-module__icon__ltGNM" viewBox="0 0 16 16" width="16" height="16" fill="currentColor" display="inline-block" overflow="visible" style="vertical-align:text-bottom"><path d="m11.28 3.22 4.25 4.25a.75.75 0 0 1 0 1.06l-4.25 4.25a.749.749 0 0 1-1.275-.326.749.749 0 0 1 .215-.734L13.94 8l-3.72-3.72a.749.749 0 0 1 .326-1.275.749.749 0 0 1 .734.215Zm-6.56 0a.751.751 0 0 1 1.042.018.751.751 0 0 1 .018 1.042L2.06 8l3.72 3.72a.749.749 0 0 1-.326 1.275.749.749 0 0 1-.734-.215L.47 8.53a.75.75 0 0 1 0-1.06Z"></path></svg>Code Review</span><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--muted___rE6mh Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS NavLink-module__subtitle__X4gkW">Manage code changes</span></span></a></li><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0 NavLink-module__link__EG3d4" href="https://github.com/features/code-quality" data-analytics-event="{&quot;action&quot;:&quot;code_quality&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;platform&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;code_quality_link_platform_navbar&quot;}"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Link-module__Link--label___jM8Ty"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Text-module__Text--weight-medium___qJKf_ NavLink-module__title__Q7t0p"><svg data-component="Octicon" aria-hidden="true" focusable="false" class="octicon octicon-codescan-checkmark NavLink-module__icon__ltGNM" viewBox="0 0 16 16" width="16" height="16" fill="currentColor" display="inline-block" overflow="visible" style="vertical-align:text-bottom"><path d="M10.28 6.28a.75.75 0 1 0-1.06-1.06L6.25 8.19l-.97-.97a.75.75 0 0 0-1.06 1.06l1.5 1.5a.75.75 0 0 0 1.06 0l3.5-3.5Z"></path><path d="M7.5 15a7.5 7.5 0 1 1 5.807-2.754l2.473 2.474a.749.749 0 0 1-.326 1.275.749.749 0 0 1-.734-.215l-2.474-2.473A7.472 7.472 0 0 1 7.5 15Zm0-13.5a6 6 0 1 0 4.094 10.386.748.748 0 0 1 .293-.292 6.002 6.002 0 0 0 1.117-6.486A6.002 6.002 0 0 0 7.5 1.5Z"></path></svg>Code Quality</span><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--muted___rE6mh Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS NavLink-module__subtitle__X4gkW">Enforce quality at merge</span></span></a></li></ul></div></li><li><div class="NavGroup-module__group__W8SqJ"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--monospace___QXHDQ Primer_Brand__Text-module__Text--muted___rE6mh Primer_Brand__Text-module__Text--100___B2ueX Primer_Brand__Text-module__Text--weight-medium___qJKf_ NavGroup-module__title__Wzxz2" id="_R_dknd_">APPLICATION SECURITY</span><ul class="NavGroup-module__list__UCOFy" aria-labelledby="_R_dknd_"><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0 NavLink-module__link__EG3d4" href="https://github.com/security/advanced-security" data-analytics-event="{&quot;action&quot;:&quot;github_advanced_security&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;platform&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;github_advanced_security_link_platform_navbar&quot;}"><span class="Primer_Brand__Text-module__Text___XeGJJ 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1-1.33 0c-2.447-1.042-4.049-2.357-5.032-3.855C1.32 10.182 1 8.566 1 7V3.48a1.75 1.75 0 0 1 1.217-1.667l5.25-1.68a1.748 1.748 0 0 1 1.066 0Zm-.61 1.429.001.001-5.25 1.68a.251.251 0 0 0-.174.237V7c0 1.36.275 2.666 1.057 3.859.784 1.194 2.121 2.342 4.366 3.298a.196.196 0 0 0 .154 0c2.245-.957 3.582-2.103 4.366-3.297C13.225 9.666 13.5 8.358 13.5 7V3.48a.25.25 0 0 0-.174-.238l-5.25-1.68a.25.25 0 0 0-.153 0ZM11.28 6.28l-3.5 3.5a.75.75 0 0 1-1.06 0l-1.5-1.5a.749.749 0 0 1 .326-1.275.749.749 0 0 1 .734.215l.97.97 2.97-2.97a.751.751 0 0 1 1.042.018.751.751 0 0 1 .018 1.042Z"></path></svg>GitHub Advanced Security</span><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--muted___rE6mh Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS NavLink-module__subtitle__X4gkW">Find and fix vulnerabilities</span></span></a></li><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0 NavLink-module__link__EG3d4" href="https://github.com/security/advanced-security/code-security" data-analytics-event="{&quot;action&quot;:&quot;code_security&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;platform&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;code_security_link_platform_navbar&quot;}"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Link-module__Link--label___jM8Ty"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS 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Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--muted___rE6mh Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS NavLink-module__subtitle__X4gkW">Secure your code as you build</span></span></a></li><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0 NavLink-module__link__EG3d4" href="https://github.com/security/advanced-security/secret-protection" data-analytics-event="{&quot;action&quot;:&quot;secret_protection&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;platform&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;secret_protection_link_platform_navbar&quot;}"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Link-module__Link--label___jM8Ty"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Text-module__Text--weight-medium___qJKf_ NavLink-module__title__Q7t0p"><svg data-component="Octicon" aria-hidden="true" focusable="false" class="octicon octicon-lock NavLink-module__icon__ltGNM" viewBox="0 0 16 16" width="16" height="16" fill="currentColor" display="inline-block" overflow="visible" style="vertical-align:text-bottom"><path d="M4 4a4 4 0 0 1 8 0v2h.25c.966 0 1.75.784 1.75 1.75v5.5A1.75 1.75 0 0 1 12.25 15h-8.5A1.75 1.75 0 0 1 2 13.25v-5.5C2 6.784 2.784 6 3.75 6H4Zm8.25 3.5h-8.5a.25.25 0 0 0-.25.25v5.5c0 .138.112.25.25.25h8.5a.25.25 0 0 0 .25-.25v-5.5a.25.25 0 0 0-.25-.25ZM10.5 6V4a2.5 2.5 0 1 0-5 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NavGroup-module__title__Wzxz2" id="_R_5l7d_">BY COMPANY SIZE</span><ul class="NavGroup-module__list__UCOFy" aria-labelledby="_R_5l7d_"><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0" href="https://github.com/enterprise" data-analytics-event="{&quot;action&quot;:&quot;enterprises&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;solutions&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;enterprises_link_solutions_navbar&quot;}"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Link-module__Link--label___jM8Ty">Enterprises</span></a></li><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0" href="https://github.com/team" data-analytics-event="{&quot;action&quot;:&quot;small_and_medium_teams&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;solutions&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;small_and_medium_teams_link_solutions_navbar&quot;}"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Link-module__Link--label___jM8Ty">Small and medium teams</span></a></li><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0" href="https://github.com/enterprise/startups" data-analytics-event="{&quot;action&quot;:&quot;startups&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;solutions&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;startups_link_solutions_navbar&quot;}"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Link-module__Link--label___jM8Ty">Startups</span></a></li><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0" href="https://github.com/solutions/industry/nonprofits" data-analytics-event="{&quot;action&quot;:&quot;nonprofits&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;solutions&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;nonprofits_link_solutions_navbar&quot;}"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Link-module__Link--label___jM8Ty">Nonprofits</span></a></li></ul></div></li><li><div class="NavGroup-module__group__W8SqJ"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--monospace___QXHDQ Primer_Brand__Text-module__Text--muted___rE6mh Primer_Brand__Text-module__Text--100___B2ueX Primer_Brand__Text-module__Text--weight-medium___qJKf_ NavGroup-module__title__Wzxz2" id="_R_9l7d_">BY USE CASE</span><ul class="NavGroup-module__list__UCOFy" aria-labelledby="_R_9l7d_"><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0" href="https://github.com/solutions/use-case/app-modernization" data-analytics-event="{&quot;action&quot;:&quot;app_modernization&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;solutions&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;app_modernization_link_solutions_navbar&quot;}"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Link-module__Link--label___jM8Ty">App Modernization</span></a></li><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0" href="https://github.com/solutions/use-case/devsecops" data-analytics-event="{&quot;action&quot;:&quot;devsecops&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;solutions&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;devsecops_link_solutions_navbar&quot;}"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Link-module__Link--label___jM8Ty">DevSecOps</span></a></li><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0" href="https://github.com/solutions/use-case/devops" data-analytics-event="{&quot;action&quot;:&quot;devops&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;solutions&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;devops_link_solutions_navbar&quot;}"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Link-module__Link--label___jM8Ty">DevOps</span></a></li><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0" href="https://github.com/solutions/use-case/ci-cd" data-analytics-event="{&quot;action&quot;:&quot;ci/cd&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;solutions&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;ci/cd_link_solutions_navbar&quot;}"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Link-module__Link--label___jM8Ty">CI/CD</span></a></li><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0 Primer_Brand__Link-module__Link--arrow-end___esdN8" href="https://github.com/solutions/use-case" data-analytics-event="{&quot;action&quot;:&quot;view_all_use_cases&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;solutions&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;view_all_use_cases_link_solutions_navbar&quot;}"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Link-module__Link--label___jM8Ty">View all use cases</span><svg class="Primer_Brand__ExpandableArrow-module__ExpandableArrow___aaZs9 Primer_Brand__Link-module__Link-arrow___yd78i" width="16" height="16" viewBox="0 0 16 16" fill="none" aria-hidden="true" focusable="false"><path fill="currentColor" d="M7.28033 3.21967C6.98744 2.92678 6.51256 2.92678 6.21967 3.21967C5.92678 3.51256 5.92678 3.98744 6.21967 4.28033L7.28033 3.21967ZM11 8L11.5303 8.53033C11.8232 8.23744 11.8232 7.76256 11.5303 7.46967L11 8ZM6.21967 11.7197C5.92678 12.0126 5.92678 12.4874 6.21967 12.7803C6.51256 13.0732 6.98744 13.0732 7.28033 12.7803L6.21967 11.7197ZM6.21967 4.28033L10.4697 8.53033L11.5303 7.46967L7.28033 3.21967L6.21967 4.28033ZM10.4697 7.46967L6.21967 11.7197L7.28033 12.7803L11.5303 8.53033L10.4697 7.46967Z"></path><path class="Primer_Brand__ExpandableArrow-module__ExpandableArrow-stem___0K8Hz" stroke="currentColor" d="M1.75 8H11" stroke-width="1.5" stroke-linecap="round"></path></svg></a></li></ul></div></li><li><div class="NavGroup-module__group__W8SqJ"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--monospace___QXHDQ Primer_Brand__Text-module__Text--muted___rE6mh Primer_Brand__Text-module__Text--100___B2ueX Primer_Brand__Text-module__Text--weight-medium___qJKf_ NavGroup-module__title__Wzxz2" id="_R_dl7d_">BY INDUSTRY</span><ul class="NavGroup-module__list__UCOFy" aria-labelledby="_R_dl7d_"><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0" href="https://github.com/solutions/industry/healthcare" data-analytics-event="{&quot;action&quot;:&quot;healthcare&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;solutions&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;healthcare_link_solutions_navbar&quot;}"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Link-module__Link--label___jM8Ty">Healthcare</span></a></li><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0" href="https://github.com/solutions/industry/financial-services" data-analytics-event="{&quot;action&quot;:&quot;financial_services&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;solutions&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;financial_services_link_solutions_navbar&quot;}"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Link-module__Link--label___jM8Ty">Financial services</span></a></li><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0" href="https://github.com/solutions/industry/manufacturing" data-analytics-event="{&quot;action&quot;:&quot;manufacturing&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;solutions&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;manufacturing_link_solutions_navbar&quot;}"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Link-module__Link--label___jM8Ty">Manufacturing</span></a></li><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0" href="https://github.com/solutions/industry/government" data-analytics-event="{&quot;action&quot;:&quot;government&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;solutions&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;government_link_solutions_navbar&quot;}"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Link-module__Link--label___jM8Ty">Government</span></a></li><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0 Primer_Brand__Link-module__Link--arrow-end___esdN8" href="https://github.com/solutions/industry" data-analytics-event="{&quot;action&quot;:&quot;view_all_industries&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;solutions&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;view_all_industries_link_solutions_navbar&quot;}"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Link-module__Link--label___jM8Ty">View all industries</span><svg class="Primer_Brand__ExpandableArrow-module__ExpandableArrow___aaZs9 Primer_Brand__Link-module__Link-arrow___yd78i" width="16" height="16" viewBox="0 0 16 16" fill="none" aria-hidden="true" focusable="false"><path fill="currentColor" d="M7.28033 3.21967C6.98744 2.92678 6.51256 2.92678 6.21967 3.21967C5.92678 3.51256 5.92678 3.98744 6.21967 4.28033L7.28033 3.21967ZM11 8L11.5303 8.53033C11.8232 8.23744 11.8232 7.76256 11.5303 7.46967L11 8ZM6.21967 11.7197C5.92678 12.0126 5.92678 12.4874 6.21967 12.7803C6.51256 13.0732 6.98744 13.0732 7.28033 12.7803L6.21967 11.7197ZM6.21967 4.28033L10.4697 8.53033L11.5303 7.46967L7.28033 3.21967L6.21967 4.28033ZM10.4697 7.46967L6.21967 11.7197L7.28033 12.7803L11.5303 8.53033L10.4697 7.46967Z"></path><path class="Primer_Brand__ExpandableArrow-module__ExpandableArrow-stem___0K8Hz" stroke="currentColor" d="M1.75 8H11" stroke-width="1.5" stroke-linecap="round"></path></svg></a></li></ul></div></li></ul><div class="NavDropdown-module__trailingLinkContainer__VgJGL"><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0 Primer_Brand__Link-module__Link--arrow-end___esdN8" href="https://github.com/solutions" data-analytics-event="{&quot;action&quot;:&quot;view_all_solutions&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;solutions&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;view_all_solutions_link_solutions_navbar&quot;}"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Link-module__Link--label___jM8Ty">View all solutions</span><svg class="Primer_Brand__ExpandableArrow-module__ExpandableArrow___aaZs9 Primer_Brand__Link-module__Link-arrow___yd78i" width="16" height="16" viewBox="0 0 16 16" fill="none" aria-hidden="true" focusable="false"><path fill="currentColor" d="M7.28033 3.21967C6.98744 2.92678 6.51256 2.92678 6.21967 3.21967C5.92678 3.51256 5.92678 3.98744 6.21967 4.28033L7.28033 3.21967ZM11 8L11.5303 8.53033C11.8232 8.23744 11.8232 7.76256 11.5303 7.46967L11 8ZM6.21967 11.7197C5.92678 12.0126 5.92678 12.4874 6.21967 12.7803C6.51256 13.0732 6.98744 13.0732 7.28033 12.7803L6.21967 11.7197ZM6.21967 4.28033L10.4697 8.53033L11.5303 7.46967L7.28033 3.21967L6.21967 4.28033ZM10.4697 7.46967L6.21967 11.7197L7.28033 12.7803L11.5303 8.53033L10.4697 7.46967Z"></path><path class="Primer_Brand__ExpandableArrow-module__ExpandableArrow-stem___0K8Hz" stroke="currentColor" d="M1.75 8H11" stroke-width="1.5" stroke-linecap="round"></path></svg></a></div></div></div></li><li><div class="NavDropdown-module__container__l2YeI"><button type="button" class="NavDropdown-module__button__PEHWX" aria-expanded="false" aria-controls="_R_1nd_">Resources<svg data-component="Octicon" aria-hidden="true" focusable="false" class="octicon octicon-triangle-right NavDropdown-module__buttonIcon__Tkl8_" viewBox="0 0 16 16" width="16" height="16" fill="currentColor" display="inline-block" overflow="visible" style="vertical-align:text-bottom"><path d="m6.427 4.427 3.396 3.396a.25.25 0 0 1 0 .354l-3.396 3.396A.25.25 0 0 1 6 11.396V4.604a.25.25 0 0 1 .427-.177Z"></path></svg></button><div id="_R_1nd_" class="NavDropdown-module__dropdown__xm1jd"><ul class="NavDropdown-module__list__zuCgG"><li><div class="NavGroup-module__group__W8SqJ"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--monospace___QXHDQ Primer_Brand__Text-module__Text--muted___rE6mh Primer_Brand__Text-module__Text--100___B2ueX Primer_Brand__Text-module__Text--weight-medium___qJKf_ NavGroup-module__title__Wzxz2" id="_R_5lnd_">EXPLORE BY TOPIC</span><ul class="NavGroup-module__list__UCOFy" aria-labelledby="_R_5lnd_"><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0" href="https://github.com/resources/articles?topic=ai" data-analytics-event="{&quot;action&quot;:&quot;ai&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;resources&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;ai_link_resources_navbar&quot;}"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Link-module__Link--label___jM8Ty">AI</span></a></li><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0" href="https://github.com/resources/articles?topic=software-development" data-analytics-event="{&quot;action&quot;:&quot;software_development&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;resources&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;software_development_link_resources_navbar&quot;}"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Link-module__Link--label___jM8Ty">Software Development</span></a></li><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0" href="https://github.com/resources/articles?topic=devops" data-analytics-event="{&quot;action&quot;:&quot;devops&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;resources&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;devops_link_resources_navbar&quot;}"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Link-module__Link--label___jM8Ty">DevOps</span></a></li><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0" href="https://github.com/resources/articles?topic=security" data-analytics-event="{&quot;action&quot;:&quot;security&quot;,&quot;tag&quot;:&quot;link&quot;,&quot;context&quot;:&quot;resources&quot;,&quot;location&quot;:&quot;navbar&quot;,&quot;label&quot;:&quot;security_link_resources_navbar&quot;}"><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Link-module__Link--label___jM8Ty">Security</span></a></li><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0 Primer_Brand__Link-module__Link--arrow-end___esdN8" 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class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--default___GhPh_ Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS Primer_Brand__Link-module__Link--label___jM8Ty">Collections</span></a></li></ul></div></li></ul></div></div></li><li><div class="NavDropdown-module__container__l2YeI"><button type="button" class="NavDropdown-module__button__PEHWX" aria-expanded="false" aria-controls="_R_2nd_">Enterprise<svg data-component="Octicon" aria-hidden="true" focusable="false" class="octicon octicon-triangle-right NavDropdown-module__buttonIcon__Tkl8_" viewBox="0 0 16 16" width="16" height="16" fill="currentColor" display="inline-block" overflow="visible" style="vertical-align:text-bottom"><path d="m6.427 4.427 3.396 3.396a.25.25 0 0 1 0 .354l-3.396 3.396A.25.25 0 0 1 6 11.396V4.604a.25.25 0 0 1 .427-.177Z"></path></svg></button><div id="_R_2nd_" 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1.75 0 0 1-1.756 0L2.119 5.456a1.251 1.251 0 0 1 0-2.162ZM8.125 1.69a.248.248 0 0 0-.25 0l-4.63 2.685 4.63 2.685a.248.248 0 0 0 .25 0l4.63-2.685ZM1.601 7.789a.75.75 0 0 1 1.025-.273l5.249 3.044a.248.248 0 0 0 .25 0l5.249-3.044a.75.75 0 0 1 .752 1.298l-5.248 3.044a1.75 1.75 0 0 1-1.756 0L1.874 8.814A.75.75 0 0 1 1.6 7.789Zm0 3.5a.75.75 0 0 1 1.025-.273l5.249 3.044a.248.248 0 0 0 .25 0l5.249-3.044a.75.75 0 0 1 .752 1.298l-5.248 3.044a1.75 1.75 0 0 1-1.756 0l-5.248-3.044a.75.75 0 0 1-.273-1.025Z"></path></svg>Enterprise platform</span><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--muted___rE6mh Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS NavLink-module__subtitle__X4gkW">AI-powered developer platform</span></span></a></li></ul></div></li><li><div class="NavGroup-module__group__W8SqJ"><span class="Primer_Brand__Text-module__Text___XeGJJ 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1.217-1.667l5.25-1.68a1.748 1.748 0 0 1 1.066 0Zm-.61 1.429.001.001-5.25 1.68a.251.251 0 0 0-.174.237V7c0 1.36.275 2.666 1.057 3.859.784 1.194 2.121 2.342 4.366 3.298a.196.196 0 0 0 .154 0c2.245-.957 3.582-2.103 4.366-3.297C13.225 9.666 13.5 8.358 13.5 7V3.48a.25.25 0 0 0-.174-.238l-5.25-1.68a.25.25 0 0 0-.153 0ZM11.28 6.28l-3.5 3.5a.75.75 0 0 1-1.06 0l-1.5-1.5a.749.749 0 0 1 .326-1.275.749.749 0 0 1 .734.215l.97.97 2.97-2.97a.751.751 0 0 1 1.042.018.751.751 0 0 1 .018 1.042Z"></path></svg>GitHub Advanced Security</span><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--muted___rE6mh Primer_Brand__Text-module__Text--200____P1wy Primer_Brand__Text-module__Text--antialiased___TYoXS NavLink-module__subtitle__X4gkW">Enterprise-grade security features</span></span></a></li><li><a class="Primer_Brand__Link-module__Link___lF11y Primer_Brand__Link-module__Link--default___VRVW0 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NavLink-module__title__Q7t0p"><svg data-component="Octicon" aria-hidden="true" focusable="false" class="octicon octicon-copilot NavLink-module__icon__ltGNM" viewBox="0 0 16 16" width="16" height="16" fill="currentColor" display="inline-block" overflow="visible" style="vertical-align:text-bottom"><path d="M7.998 15.035c-4.562 0-7.873-2.914-7.998-3.749V9.338c.085-.628.677-1.686 1.588-2.065.013-.07.024-.143.036-.218.029-.183.06-.384.126-.612-.201-.508-.254-1.084-.254-1.656 0-.87.128-1.769.693-2.484.579-.733 1.494-1.124 2.724-1.261 1.206-.134 2.262.034 2.944.765.05.053.096.108.139.165.044-.057.094-.112.143-.165.682-.731 1.738-.899 2.944-.765 1.23.137 2.145.528 2.724 1.261.566.715.693 1.614.693 2.484 0 .572-.053 1.148-.254 1.656.066.228.098.429.126.612.012.076.024.148.037.218.924.385 1.522 1.471 1.591 2.095v1.872c0 .766-3.351 3.795-8.002 3.795Zm0-1.485c2.28 0 4.584-1.11 5.002-1.433V7.862l-.023-.116c-.49.21-1.075.291-1.727.291-1.146 0-2.059-.327-2.71-.991A3.222 3.222 0 0 1 8 6.303a3.24 3.24 0 0 1-.544.743c-.65.664-1.563.991-2.71.991-.652 0-1.236-.081-1.727-.291l-.023.116v4.255c.419.323 2.722 1.433 5.002 1.433ZM6.762 2.83c-.193-.206-.637-.413-1.682-.297-1.019.113-1.479.404-1.713.7-.247.312-.369.789-.369 1.554 0 .793.129 1.171.308 1.371.162.181.519.379 1.442.379.853 0 1.339-.235 1.638-.54.315-.322.527-.827.617-1.553.117-.935-.037-1.395-.241-1.614Zm4.155-.297c-1.044-.116-1.488.091-1.681.297-.204.219-.359.679-.242 1.614.091.726.303 1.231.618 1.553.299.305.784.54 1.638.54.922 0 1.28-.198 1.442-.379.179-.2.308-.578.308-1.371 0-.765-.123-1.242-.37-1.554-.233-.296-.693-.587-1.713-.7Z"></path><path d="M6.25 9.037a.75.75 0 0 1 .75.75v1.501a.75.75 0 0 1-1.5 0V9.787a.75.75 0 0 1 .75-.75Zm4.25.75v1.501a.75.75 0 0 1-1.5 0V9.787a.75.75 0 0 1 1.5 0Z"></path></svg>Copilot for Business</span><span class="Primer_Brand__Text-module__Text___XeGJJ Primer_Brand__Text-module__Text-font--mona-sans___a8XJD Primer_Brand__Text-module__Text--muted___rE6mh Primer_Brand__Text-module__Text--200____P1wy 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  <script type="application/json" data-target="react-app.embeddedData">{"payload":{"codeViewBlobRoute":{"csv":null,"csvError":null,"headerInfo":{"toc":[{"level":1,"text":"How to find all crystal contacts in a PDB structure","anchor":"how-to-find-all-crystal-contacts-in-a-pdb-structure","htmlText":"How to find all crystal contacts in a PDB structure"},{"level":2,"text":"Why crystal contacts?","anchor":"why-crystal-contacts","htmlText":"Why crystal contacts?"},{"level":2,"text":"Getting the set of unique contacts in the crystal lattice","anchor":"getting-the-set-of-unique-contacts-in-the-crystal-lattice","htmlText":"Getting the set of unique contacts in the crystal lattice"},{"level":2,"text":"Clustering the interfaces","anchor":"clustering-the-interfaces","htmlText":"Clustering the interfaces"}]},"issueTemplate":null,"discussionTemplate":null,"richText":"\u003carticle class=\"markdown-body entry-content container-lg\" itemprop=\"text\"\u003e\u003cdiv class=\"markdown-heading\" dir=\"auto\"\u003e\u003ch1 tabindex=\"-1\" class=\"heading-element\" dir=\"auto\"\u003eHow to find all crystal contacts in a PDB structure\u003c/h1\u003e\u003ca id=\"user-content-how-to-find-all-crystal-contacts-in-a-pdb-structure\" class=\"anchor\" aria-label=\"Permalink: How to find all crystal contacts in a PDB structure\" href=\"#how-to-find-all-crystal-contacts-in-a-pdb-structure\"\u003e\u003csvg data-component=\"Octicon\" class=\"octicon octicon-link\" viewBox=\"0 0 16 16\" version=\"1.1\" width=\"16\" height=\"16\" aria-hidden=\"true\"\u003e\u003cpath d=\"m7.775 3.275 1.25-1.25a3.5 3.5 0 1 1 4.95 4.95l-2.5 2.5a3.5 3.5 0 0 1-4.95 0 .751.751 0 0 1 .018-1.042.751.751 0 0 1 1.042-.018 1.998 1.998 0 0 0 2.83 0l2.5-2.5a2.002 2.002 0 0 0-2.83-2.83l-1.25 1.25a.751.751 0 0 1-1.042-.018.751.751 0 0 1-.018-1.042Zm-4.69 9.64a1.998 1.998 0 0 0 2.83 0l1.25-1.25a.751.751 0 0 1 1.042.018.751.751 0 0 1 .018 1.042l-1.25 1.25a3.5 3.5 0 1 1-4.95-4.95l2.5-2.5a3.5 3.5 0 0 1 4.95 0 .751.751 0 0 1-.018 1.042.751.751 0 0 1-1.042.018 1.998 1.998 0 0 0-2.83 0l-2.5 2.5a1.998 1.998 0 0 0 0 2.83Z\"\u003e\u003c/path\u003e\u003c/svg\u003e\u003c/a\u003e\u003c/div\u003e\n\u003cdiv class=\"markdown-heading\" dir=\"auto\"\u003e\u003ch2 tabindex=\"-1\" class=\"heading-element\" dir=\"auto\"\u003eWhy crystal contacts?\u003c/h2\u003e\u003ca id=\"user-content-why-crystal-contacts\" class=\"anchor\" aria-label=\"Permalink: Why crystal contacts?\" href=\"#why-crystal-contacts\"\u003e\u003csvg data-component=\"Octicon\" class=\"octicon octicon-link\" viewBox=\"0 0 16 16\" version=\"1.1\" width=\"16\" height=\"16\" aria-hidden=\"true\"\u003e\u003cpath d=\"m7.775 3.275 1.25-1.25a3.5 3.5 0 1 1 4.95 4.95l-2.5 2.5a3.5 3.5 0 0 1-4.95 0 .751.751 0 0 1 .018-1.042.751.751 0 0 1 1.042-.018 1.998 1.998 0 0 0 2.83 0l2.5-2.5a2.002 2.002 0 0 0-2.83-2.83l-1.25 1.25a.751.751 0 0 1-1.042-.018.751.751 0 0 1-.018-1.042Zm-4.69 9.64a1.998 1.998 0 0 0 2.83 0l1.25-1.25a.751.751 0 0 1 1.042.018.751.751 0 0 1 .018 1.042l-1.25 1.25a3.5 3.5 0 1 1-4.95-4.95l2.5-2.5a3.5 3.5 0 0 1 4.95 0 .751.751 0 0 1-.018 1.042.751.751 0 0 1-1.042.018 1.998 1.998 0 0 0-2.83 0l-2.5 2.5a1.998 1.998 0 0 0 0 2.83Z\"\u003e\u003c/path\u003e\u003c/svg\u003e\u003c/a\u003e\u003c/div\u003e\n\u003cp dir=\"auto\"\u003eA protein structure is determined by X-ray diffraction from a protein crystal, i.e. an infinite lattice of molecules. Thus the end result of the diffraction experiment is a crystal lattice and not just a single molecule. However the PDB file only contains the coordinates of the Asymmetric Unit (AU), defined as the minimum unit needed to reconstruct the full crystal using symmetry operators.\u003c/p\u003e\n\u003cp dir=\"auto\"\u003eLooking at the AU alone is not enough to understand the crystal structure. For instance the biologically relevant assembly (known as the Biological Unit) can occur through a symmetry operator that can be found looking at the crystal contacts. See for instance \u003ca href=\"http://www.rcsb.org/pdb/explore.do?structureId=1M4N\" rel=\"nofollow\"\u003e1M4N\u003c/a\u003e: its biological unit is a dimer that happens through a 2-fold operator and is the largest interface found in the crystal.\u003c/p\u003e\n\u003cp dir=\"auto\"\u003eLooking at crystal contacts can also be important in order to assess the quality and reliability of the deposited PDB model: an AU can look perfectly fine but then upon reconstruction of the lattice the molecules can be clashing, which indicates that something is wrong in the model.\u003c/p\u003e\n\u003cdiv class=\"markdown-heading\" dir=\"auto\"\u003e\u003ch2 tabindex=\"-1\" class=\"heading-element\" dir=\"auto\"\u003eGetting the set of unique contacts in the crystal lattice\u003c/h2\u003e\u003ca id=\"user-content-getting-the-set-of-unique-contacts-in-the-crystal-lattice\" class=\"anchor\" aria-label=\"Permalink: Getting the set of unique contacts in the crystal lattice\" href=\"#getting-the-set-of-unique-contacts-in-the-crystal-lattice\"\u003e\u003csvg data-component=\"Octicon\" class=\"octicon octicon-link\" viewBox=\"0 0 16 16\" version=\"1.1\" width=\"16\" height=\"16\" aria-hidden=\"true\"\u003e\u003cpath d=\"m7.775 3.275 1.25-1.25a3.5 3.5 0 1 1 4.95 4.95l-2.5 2.5a3.5 3.5 0 0 1-4.95 0 .751.751 0 0 1 .018-1.042.751.751 0 0 1 1.042-.018 1.998 1.998 0 0 0 2.83 0l2.5-2.5a2.002 2.002 0 0 0-2.83-2.83l-1.25 1.25a.751.751 0 0 1-1.042-.018.751.751 0 0 1-.018-1.042Zm-4.69 9.64a1.998 1.998 0 0 0 2.83 0l1.25-1.25a.751.751 0 0 1 1.042.018.751.751 0 0 1 .018 1.042l-1.25 1.25a3.5 3.5 0 1 1-4.95-4.95l2.5-2.5a3.5 3.5 0 0 1 4.95 0 .751.751 0 0 1-.018 1.042.751.751 0 0 1-1.042.018 1.998 1.998 0 0 0-2.83 0l-2.5 2.5a1.998 1.998 0 0 0 0 2.83Z\"\u003e\u003c/path\u003e\u003c/svg\u003e\u003c/a\u003e\u003c/div\u003e\n\u003cp dir=\"auto\"\u003eThis code snippet will produce a list of all non-redundant interfaces present in the crystal lattice of PDB entry \u003ca href=\"https://www.rcsb.org/structure/1SMT\" rel=\"nofollow\"\u003e1SMT\u003c/a\u003e:\u003c/p\u003e\n\u003cdiv class=\"highlight highlight-source-java notranslate position-relative overflow-auto\" dir=\"auto\" data-snippet-clipboard-copy-content=\"\t\tAtomCache cache = new AtomCache();\n\t\t\n\t\tStructureIO.setAtomCache(cache); \n\t\t\n\t\tStructure structure = StructureIO.getStructure(\u0026quot;1SMT\u0026quot;);\n\t\t\t\n\t\tCrystalBuilder cb = new CrystalBuilder(structure);\n\t\t\n\t\t// 6 is the distance cutoff to consider 2 atoms in contact\n\t\tStructureInterfaceList interfaces = cb.getUniqueInterfaces(6);\n\t\t\n\t\tSystem.out.println(\u0026quot;The crystal contains \u0026quot;+interfaces.size()+\u0026quot; unique interfaces\u0026quot;);\n\n\t\t// this calculates the buried surface areas of all interfaces and sorts them by areas\n\t\tinterfaces.calcAsas(3000, 1, -1);\n\n\t\t// we can get the largest interface in the crystal and look at its area\n\t\tinterfaces.get(1).getTotalArea();\n\"\u003e\u003cpre\u003e\t\t\u003cspan class=\"pl-smi\"\u003eAtomCache\u003c/span\u003e \u003cspan class=\"pl-s1\"\u003ecache\u003c/span\u003e = \u003cspan class=\"pl-k\"\u003enew\u003c/span\u003e \u003cspan class=\"pl-smi\"\u003eAtomCache\u003c/span\u003e();\n\t\t\n\t\t\u003cspan class=\"pl-smi\"\u003eStructureIO\u003c/span\u003e.\u003cspan class=\"pl-en\"\u003esetAtomCache\u003c/span\u003e(\u003cspan class=\"pl-s1\"\u003ecache\u003c/span\u003e); \n\t\t\n\t\t\u003cspan class=\"pl-smi\"\u003eStructure\u003c/span\u003e \u003cspan class=\"pl-s1\"\u003estructure\u003c/span\u003e = \u003cspan class=\"pl-smi\"\u003eStructureIO\u003c/span\u003e.\u003cspan class=\"pl-en\"\u003egetStructure\u003c/span\u003e(\u003cspan class=\"pl-s\"\u003e\"1SMT\"\u003c/span\u003e);\n\t\t\t\n\t\t\u003cspan class=\"pl-smi\"\u003eCrystalBuilder\u003c/span\u003e \u003cspan class=\"pl-s1\"\u003ecb\u003c/span\u003e = \u003cspan class=\"pl-k\"\u003enew\u003c/span\u003e \u003cspan class=\"pl-smi\"\u003eCrystalBuilder\u003c/span\u003e(\u003cspan class=\"pl-s1\"\u003estructure\u003c/span\u003e);\n\t\t\n\t\t\u003cspan class=\"pl-c\"\u003e// 6 is the distance cutoff to consider 2 atoms in contact\u003c/span\u003e\n\t\t\u003cspan class=\"pl-smi\"\u003eStructureInterfaceList\u003c/span\u003e \u003cspan class=\"pl-s1\"\u003einterfaces\u003c/span\u003e = \u003cspan class=\"pl-s1\"\u003ecb\u003c/span\u003e.\u003cspan class=\"pl-en\"\u003egetUniqueInterfaces\u003c/span\u003e(\u003cspan class=\"pl-c1\"\u003e6\u003c/span\u003e);\n\t\t\n\t\t\u003cspan class=\"pl-smi\"\u003eSystem\u003c/span\u003e.\u003cspan class=\"pl-s1\"\u003eout\u003c/span\u003e.\u003cspan class=\"pl-en\"\u003eprintln\u003c/span\u003e(\u003cspan class=\"pl-s\"\u003e\"The crystal contains \"\u003c/span\u003e+\u003cspan class=\"pl-s1\"\u003einterfaces\u003c/span\u003e.\u003cspan class=\"pl-en\"\u003esize\u003c/span\u003e()+\u003cspan class=\"pl-s\"\u003e\" unique interfaces\"\u003c/span\u003e);\n\n\t\t\u003cspan class=\"pl-c\"\u003e// this calculates the buried surface areas of all interfaces and sorts them by areas\u003c/span\u003e\n\t\t\u003cspan class=\"pl-s1\"\u003einterfaces\u003c/span\u003e.\u003cspan class=\"pl-en\"\u003ecalcAsas\u003c/span\u003e(\u003cspan class=\"pl-c1\"\u003e3000\u003c/span\u003e, \u003cspan class=\"pl-c1\"\u003e1\u003c/span\u003e, -\u003cspan class=\"pl-c1\"\u003e1\u003c/span\u003e);\n\n\t\t\u003cspan class=\"pl-c\"\u003e// we can get the largest interface in the crystal and look at its area\u003c/span\u003e\n\t\t\u003cspan class=\"pl-s1\"\u003einterfaces\u003c/span\u003e.\u003cspan class=\"pl-en\"\u003eget\u003c/span\u003e(\u003cspan class=\"pl-c1\"\u003e1\u003c/span\u003e).\u003cspan class=\"pl-en\"\u003egetTotalArea\u003c/span\u003e();\u003c/pre\u003e\u003c/div\u003e\n\u003cp dir=\"auto\"\u003eAn interface is defined here as any 2 chains with at least a pair of atoms within the given distance cutoff (6 A in the example above).\u003c/p\u003e\n\u003cp dir=\"auto\"\u003eThe algorithm to find all unique interfaces in the crystal works roughly like this:\u003c/p\u003e\n\u003cul dir=\"auto\"\u003e\n\u003cli\u003eReconstructs the full unit cell by applying the matrix operators of the corresponding space group to the Asymmetric Unit.\u003c/li\u003e\n\u003cli\u003eSearches all cells around the original one by applying crystal translations, if any 2 chains in that search is found to contact then the new contact is added to the final list.\u003c/li\u003e\n\u003cli\u003eThe search is performend without repeating redundant symmetry operators, making sure that if a contact is found then it is a unique contact.\u003c/li\u003e\n\u003c/ul\u003e\n\u003cp dir=\"auto\"\u003eSee \u003ca href=\"https://github.com/biojava/biojava/blob/master/biojava-structure/src/main/java/demo/DemoCrystalInterfaces.java\"\u003eDemoCrystalInterfaces\u003c/a\u003e for a fully working demo of the example above.\u003c/p\u003e\n\u003cdiv class=\"markdown-heading\" dir=\"auto\"\u003e\u003ch2 tabindex=\"-1\" class=\"heading-element\" dir=\"auto\"\u003eClustering the interfaces\u003c/h2\u003e\u003ca id=\"user-content-clustering-the-interfaces\" class=\"anchor\" aria-label=\"Permalink: Clustering the interfaces\" href=\"#clustering-the-interfaces\"\u003e\u003csvg data-component=\"Octicon\" class=\"octicon octicon-link\" viewBox=\"0 0 16 16\" version=\"1.1\" width=\"16\" height=\"16\" aria-hidden=\"true\"\u003e\u003cpath d=\"m7.775 3.275 1.25-1.25a3.5 3.5 0 1 1 4.95 4.95l-2.5 2.5a3.5 3.5 0 0 1-4.95 0 .751.751 0 0 1 .018-1.042.751.751 0 0 1 1.042-.018 1.998 1.998 0 0 0 2.83 0l2.5-2.5a2.002 2.002 0 0 0-2.83-2.83l-1.25 1.25a.751.751 0 0 1-1.042-.018.751.751 0 0 1-.018-1.042Zm-4.69 9.64a1.998 1.998 0 0 0 2.83 0l1.25-1.25a.751.751 0 0 1 1.042.018.751.751 0 0 1 .018 1.042l-1.25 1.25a3.5 3.5 0 1 1-4.95-4.95l2.5-2.5a3.5 3.5 0 0 1 4.95 0 .751.751 0 0 1-.018 1.042.751.751 0 0 1-1.042.018 1.998 1.998 0 0 0-2.83 0l-2.5 2.5a1.998 1.998 0 0 0 0 2.83Z\"\u003e\u003c/path\u003e\u003c/svg\u003e\u003c/a\u003e\u003c/div\u003e\n\u003cp dir=\"auto\"\u003eOne can also cluster the interfaces based on their similarity. The similarity is measured through contact overlap: number of common contacts over average number of contact in both chains. The clustering can be done as following:\u003c/p\u003e\n\u003cdiv class=\"highlight highlight-source-java notranslate position-relative overflow-auto\" dir=\"auto\" data-snippet-clipboard-copy-content=\"\t\tList\u0026lt;StructureInterfaceCluster\u0026gt; clusters = interfaces.getClusters();\n\t\tfor (StructureInterfaceCluster cluster:clusters) {\n\t\t\tSystem.out.print(\u0026quot;Cluster \u0026quot;+cluster.getId()+\u0026quot; members: \u0026quot;);\n\t\t\tfor (StructureInterface member:cluster.getMembers()) {\n\t\t\t\tSystem.out.print(member.getId()+\u0026quot; \u0026quot;);\n\t\t\t}\n\t\t\tSystem.out.println();\n\t\t}\"\u003e\u003cpre\u003e\t\t\u003cspan class=\"pl-smi\"\u003eList\u003c/span\u003e\u0026lt;\u003cspan class=\"pl-smi\"\u003eStructureInterfaceCluster\u003c/span\u003e\u0026gt; \u003cspan class=\"pl-s1\"\u003eclusters\u003c/span\u003e = \u003cspan class=\"pl-s1\"\u003einterfaces\u003c/span\u003e.\u003cspan class=\"pl-en\"\u003egetClusters\u003c/span\u003e();\n\t\t\u003cspan class=\"pl-k\"\u003efor\u003c/span\u003e (\u003cspan class=\"pl-smi\"\u003eStructureInterfaceCluster\u003c/span\u003e \u003cspan class=\"pl-s1\"\u003ecluster\u003c/span\u003e:\u003cspan class=\"pl-s1\"\u003eclusters\u003c/span\u003e) {\n\t\t\t\u003cspan class=\"pl-smi\"\u003eSystem\u003c/span\u003e.\u003cspan class=\"pl-s1\"\u003eout\u003c/span\u003e.\u003cspan class=\"pl-en\"\u003eprint\u003c/span\u003e(\u003cspan class=\"pl-s\"\u003e\"Cluster \"\u003c/span\u003e+\u003cspan class=\"pl-s1\"\u003ecluster\u003c/span\u003e.\u003cspan class=\"pl-en\"\u003egetId\u003c/span\u003e()+\u003cspan class=\"pl-s\"\u003e\" members: \"\u003c/span\u003e);\n\t\t\t\u003cspan class=\"pl-k\"\u003efor\u003c/span\u003e (\u003cspan class=\"pl-smi\"\u003eStructureInterface\u003c/span\u003e \u003cspan class=\"pl-s1\"\u003emember\u003c/span\u003e:\u003cspan class=\"pl-s1\"\u003ecluster\u003c/span\u003e.\u003cspan class=\"pl-en\"\u003egetMembers\u003c/span\u003e()) {\n\t\t\t\t\u003cspan class=\"pl-smi\"\u003eSystem\u003c/span\u003e.\u003cspan class=\"pl-s1\"\u003eout\u003c/span\u003e.\u003cspan class=\"pl-en\"\u003eprint\u003c/span\u003e(\u003cspan class=\"pl-s1\"\u003emember\u003c/span\u003e.\u003cspan class=\"pl-en\"\u003egetId\u003c/span\u003e()+\u003cspan class=\"pl-s\"\u003e\" \"\u003c/span\u003e);\n\t\t\t}\n\t\t\t\u003cspan class=\"pl-smi\"\u003eSystem\u003c/span\u003e.\u003cspan class=\"pl-s1\"\u003eout\u003c/span\u003e.\u003cspan class=\"pl-en\"\u003eprintln\u003c/span\u003e();\n\t\t}\u003c/pre\u003e\u003c/div\u003e\n\n\u003chr\u003e\n\u003cp dir=\"auto\"\u003eNavigation:\n\u003ca href=\"/biojava/biojava-tutorial/blob/master/README.md\"\u003eHome\u003c/a\u003e\n| \u003ca href=\"/biojava/biojava-tutorial/blob/master/structure/README.md\"\u003eBook 3: The Structure Modules\u003c/a\u003e\n| Chapter 13 - Finding all Interfaces in Crystal: Crystal Contacts\u003c/p\u003e\n\u003cp dir=\"auto\"\u003ePrev: \u003ca href=\"/biojava/biojava-tutorial/blob/master/structure/contact-map.md\"\u003eChapter 12 : Contacts Within a Chain and between Chains\u003c/a\u003e\u003c/p\u003e\n\u003cp dir=\"auto\"\u003eNext: \u003ca href=\"/biojava/biojava-tutorial/blob/master/structure/symmetry.md\"\u003eChapter 14 : Protein Symmetry\u003c/a\u003e\u003c/p\u003e\n\u003c/article\u003e","richTextTruncated":false,"renderedFileInfo":null,"symbols":{"timed_out":false,"not_analyzed":false,"symbols":[{"name":"How to find all crystal contacts in a PDB structure","fully_qualified_name":"How to find all crystal contacts in a PDB structure","kind":"section_1","ident_start":2,"ident_end":53,"extent_start":0,"extent_end":3862,"ident_utf16":{"start":{"line_number":0,"utf16_col":2},"end":{"line_number":0,"utf16_col":53}},"extent_utf16":{"start":{"line_number":0,"utf16_col":0},"end":{"line_number":73,"utf16_col":0}}},{"name":"Why crystal contacts?","fully_qualified_name":"Why crystal 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How to find all crystal contacts in a PDB structure","","## Why crystal contacts?","","A protein structure is determined by X-ray diffraction from a protein crystal, i.e. an infinite lattice of molecules. Thus the end result of the diffraction experiment is a crystal lattice and not just a single molecule. However the PDB file only contains the coordinates of the Asymmetric Unit (AU), defined as the minimum unit needed to reconstruct the full crystal using symmetry operators.","","Looking at the AU alone is not enough to understand the crystal structure. For instance the biologically relevant assembly (known as the Biological Unit) can occur through a symmetry operator that can be found looking at the crystal contacts. See for instance [1M4N](http://www.rcsb.org/pdb/explore.do?structureId=1M4N): its biological unit is a dimer that happens through a 2-fold operator and is the largest interface found in the crystal. ","","Looking at crystal contacts can also be important in order to assess the quality and reliability of the deposited PDB model: an AU can look perfectly fine but then upon reconstruction of the lattice the molecules can be clashing, which indicates that something is wrong in the model.","","","## Getting the set of unique contacts in the crystal lattice","","This code snippet will produce a list of all non-redundant interfaces present in the crystal lattice of PDB entry [1SMT](https://www.rcsb.org/structure/1SMT):","","```java","\t\tAtomCache cache = new AtomCache();","\t\t","\t\tStructureIO.setAtomCache(cache); ","\t\t","\t\tStructure structure = StructureIO.getStructure(\"1SMT\");","\t\t\t","\t\tCrystalBuilder cb = new CrystalBuilder(structure);","\t\t","\t\t// 6 is the distance cutoff to consider 2 atoms in contact","\t\tStructureInterfaceList interfaces = cb.getUniqueInterfaces(6);","\t\t","\t\tSystem.out.println(\"The crystal contains \"+interfaces.size()+\" unique interfaces\");","","\t\t// this calculates the buried surface areas of all interfaces and sorts them by areas","\t\tinterfaces.calcAsas(3000, 1, -1);","","\t\t// we can get the largest interface in the crystal and look at its area","\t\tinterfaces.get(1).getTotalArea();","","```","","An interface is defined here as any 2 chains with at least a pair of atoms within the given distance cutoff (6 A in the example above). ","","The algorithm to find all unique interfaces in the crystal works roughly like this:","+ Reconstructs the full unit cell by applying the matrix operators of the corresponding space group to the Asymmetric Unit.","+ Searches all cells around the original one by applying crystal translations, if any 2 chains in that search is found to contact then the new contact is added to the final list.","+ The search is performend without repeating redundant symmetry operators, making sure that if a contact is found then it is a unique contact.","","See [DemoCrystalInterfaces](https://github.com/biojava/biojava/blob/master/biojava-structure/src/main/java/demo/DemoCrystalInterfaces.java) for a fully working demo of the example above.","","## Clustering the interfaces","One can also cluster the interfaces based on their similarity. The similarity is measured through contact overlap: number of common contacts over average number of contact in both chains. The clustering can be done as following:","","```java","\t\tList\u003cStructureInterfaceCluster\u003e clusters = interfaces.getClusters();","\t\tfor (StructureInterfaceCluster cluster:clusters) {","\t\t\tSystem.out.print(\"Cluster \"+cluster.getId()+\" members: \");","\t\t\tfor (StructureInterface member:cluster.getMembers()) {","\t\t\t\tSystem.out.print(member.getId()+\" \");","\t\t\t}","\t\t\tSystem.out.println();","\t\t}","```","","","\u003c!--automatically generated footer--\u003e","","---","","Navigation:","[Home](../README.md)","| [Book 3: The Structure Modules](README.md)","| Chapter 13 - Finding all Interfaces in Crystal: Crystal Contacts","","Prev: [Chapter 12 : Contacts Within a Chain and between Chains](contact-map.md)","","Next: [Chapter 14 : Protein Symmetry](symmetry.md)"],"stylingDirectives":[[[0,53,"pl-mh"],[2,53,"pl-en"]],[],[[0,24,"pl-mh"],[3,24,"pl-en"]],[],[],[],[[260,261,"pl-s"],[265,266,"pl-s"],[266,267,"pl-s"],[267,318,"pl-corl"],[318,319,"pl-s"]],[],[],[],[],[[0,60,"pl-mh"],[3,60,"pl-en"]],[],[[114,115,"pl-s"],[119,120,"pl-s"],[120,121,"pl-s"],[121,156,"pl-corl"],[156,157,"pl-s"]],[],[[0,3,"pl-s"],[3,7,"pl-en"]],[[2,11,"pl-smi"],[18,19,"pl-k"],[20,23,"pl-k"],[24,33,"pl-smi"]],[],[[2,13,"pl-smi"],[13,14,"pl-k"]],[],[[2,11,"pl-smi"],[22,23,"pl-k"],[24,35,"pl-smi"],[35,36,"pl-k"],[49,55,"pl-s"],[49,50,"pl-pds"],[54,55,"pl-pds"]],[],[[2,16,"pl-smi"],[20,21,"pl-k"],[22,25,"pl-k"],[26,40,"pl-smi"]],[],[[2,60,"pl-c"],[2,4,"pl-c"]],[[2,24,"pl-smi"],[36,37,"pl-k"],[40,41,"pl-k"],[61,62,"pl-c1"]],[],[[2,8,"pl-smi"],[8,9,"pl-k"],[12,13,"pl-k"],[21,44,"pl-s"],[21,22,"pl-pds"],[43,44,"pl-pds"],[44,45,"pl-k"],[55,56,"pl-k"],[62,63,"pl-k"],[63,83,"pl-s"],[63,64,"pl-pds"],[82,83,"pl-pds"]],[],[[2,87,"pl-c"],[2,4,"pl-c"]],[[12,13,"pl-k"],[22,26,"pl-c1"],[28,29,"pl-c1"],[31,32,"pl-k"],[32,33,"pl-c1"]],[],[[2,73,"pl-c"],[2,4,"pl-c"]],[[12,13,"pl-k"],[17,18,"pl-c1"],[19,20,"pl-k"]],[],[[0,3,"pl-s"]],[],[],[],[],[[0,1,"pl-v"]],[[0,1,"pl-v"]],[[0,1,"pl-v"]],[],[[4,5,"pl-s"],[26,27,"pl-s"],[27,28,"pl-s"],[28,138,"pl-corl"],[138,139,"pl-s"]],[],[[0,28,"pl-mh"],[3,28,"pl-en"]],[],[],[[0,3,"pl-s"],[3,7,"pl-en"]],[[2,33,"pl-k"],[7,32,"pl-smi"],[43,44,"pl-k"],[55,56,"pl-k"]],[[2,5,"pl-k"],[7,32,"pl-smi"],[40,41,"pl-k"]],[[3,9,"pl-smi"],[9,10,"pl-k"],[13,14,"pl-k"],[20,30,"pl-s"],[20,21,"pl-pds"],[29,30,"pl-pds"],[30,31,"pl-k"],[38,39,"pl-k"],[46,47,"pl-k"],[47,59,"pl-s"],[47,48,"pl-pds"],[58,59,"pl-pds"]],[[3,6,"pl-k"],[8,26,"pl-smi"],[33,34,"pl-k"],[41,42,"pl-k"]],[[4,10,"pl-smi"],[10,11,"pl-k"],[14,15,"pl-k"],[27,28,"pl-k"],[35,36,"pl-k"],[36,39,"pl-s"],[36,37,"pl-pds"],[38,39,"pl-pds"]],[],[[3,9,"pl-smi"],[9,10,"pl-k"],[13,14,"pl-k"]],[],[[0,3,"pl-s"]],[],[],[[0,37,"pl-c"],[0,4,"pl-c"],[34,37,"pl-c"]],[],[[0,3,"pl-ms"]],[],[],[[0,1,"pl-s"],[5,6,"pl-s"],[6,7,"pl-s"],[7,19,"pl-corl"],[19,20,"pl-s"]],[[2,3,"pl-s"],[32,33,"pl-s"],[33,34,"pl-s"],[34,43,"pl-corl"],[43,44,"pl-s"]],[],[],[[6,7,"pl-s"],[62,63,"pl-s"],[63,64,"pl-s"],[64,78,"pl-corl"],[78,79,"pl-s"]],[],[[6,7,"pl-s"],[36,37,"pl-s"],[37,38,"pl-s"],[38,49,"pl-corl"],[49,50,"pl-s"]]],"colorizedLines":null}},"title":"biojava-tutorial/structure/crystal-contacts.md at master · biojava/biojava-tutorial","appPayload":{},"meta":{"title":"biojava-tutorial/structure/crystal-contacts.md at master · biojava/biojava-tutorial"}}</script>
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0-3 1.5 1.5 0 0 0 0 3Z"></path></svg></button><span class="prc-TooltipV2-Tooltip-tLeuB" data-direction="nw" data-component="Tooltip" aria-hidden="true" id="_R_fkecpala9lik5_">Edit and raw actions</span></div></div></div></div><div></div></div><div class="BlobViewContent-module__blobContentWrapper__JS0W6"><section aria-labelledby="file-name-id-wide file-name-id-mobile" class="BlobContent-module__blobContentSection__VOgZq BlobContent-module__blobContentSectionMarkdown__mPLOK" style="margin-top:46px"><div class="js-snippet-clipboard-copy-unpositioned BlobContent-module__markdownBlob__T8jpG" data-hpc="true" containertiming="hpc"><article class="markdown-body entry-content container-lg" itemprop="text"><div class="markdown-heading" dir="auto"><h1 tabindex="-1" class="heading-element" dir="auto">How to find all crystal contacts in a PDB structure</h1><a id="user-content-how-to-find-all-crystal-contacts-in-a-pdb-structure" class="anchor" aria-label="Permalink: How to find all crystal contacts in a PDB structure" href="#how-to-find-all-crystal-contacts-in-a-pdb-structure"><svg data-component="Octicon" class="octicon octicon-link" viewBox="0 0 16 16" version="1.1" width="16" height="16" aria-hidden="true"><path d="m7.775 3.275 1.25-1.25a3.5 3.5 0 1 1 4.95 4.95l-2.5 2.5a3.5 3.5 0 0 1-4.95 0 .751.751 0 0 1 .018-1.042.751.751 0 0 1 1.042-.018 1.998 1.998 0 0 0 2.83 0l2.5-2.5a2.002 2.002 0 0 0-2.83-2.83l-1.25 1.25a.751.751 0 0 1-1.042-.018.751.751 0 0 1-.018-1.042Zm-4.69 9.64a1.998 1.998 0 0 0 2.83 0l1.25-1.25a.751.751 0 0 1 1.042.018.751.751 0 0 1 .018 1.042l-1.25 1.25a3.5 3.5 0 1 1-4.95-4.95l2.5-2.5a3.5 3.5 0 0 1 4.95 0 .751.751 0 0 1-.018 1.042.751.751 0 0 1-1.042.018 1.998 1.998 0 0 0-2.83 0l-2.5 2.5a1.998 1.998 0 0 0 0 2.83Z"></path></svg></a></div>
<div class="markdown-heading" dir="auto"><h2 tabindex="-1" class="heading-element" dir="auto">Why crystal contacts?</h2><a id="user-content-why-crystal-contacts" class="anchor" aria-label="Permalink: Why crystal contacts?" href="#why-crystal-contacts"><svg data-component="Octicon" class="octicon octicon-link" viewBox="0 0 16 16" version="1.1" width="16" height="16" aria-hidden="true"><path d="m7.775 3.275 1.25-1.25a3.5 3.5 0 1 1 4.95 4.95l-2.5 2.5a3.5 3.5 0 0 1-4.95 0 .751.751 0 0 1 .018-1.042.751.751 0 0 1 1.042-.018 1.998 1.998 0 0 0 2.83 0l2.5-2.5a2.002 2.002 0 0 0-2.83-2.83l-1.25 1.25a.751.751 0 0 1-1.042-.018.751.751 0 0 1-.018-1.042Zm-4.69 9.64a1.998 1.998 0 0 0 2.83 0l1.25-1.25a.751.751 0 0 1 1.042.018.751.751 0 0 1 .018 1.042l-1.25 1.25a3.5 3.5 0 1 1-4.95-4.95l2.5-2.5a3.5 3.5 0 0 1 4.95 0 .751.751 0 0 1-.018 1.042.751.751 0 0 1-1.042.018 1.998 1.998 0 0 0-2.83 0l-2.5 2.5a1.998 1.998 0 0 0 0 2.83Z"></path></svg></a></div>
<p dir="auto">A protein structure is determined by X-ray diffraction from a protein crystal, i.e. an infinite lattice of molecules. Thus the end result of the diffraction experiment is a crystal lattice and not just a single molecule. However the PDB file only contains the coordinates of the Asymmetric Unit (AU), defined as the minimum unit needed to reconstruct the full crystal using symmetry operators.</p>
<p dir="auto">Looking at the AU alone is not enough to understand the crystal structure. For instance the biologically relevant assembly (known as the Biological Unit) can occur through a symmetry operator that can be found looking at the crystal contacts. See for instance <a href="http://www.rcsb.org/pdb/explore.do?structureId=1M4N" rel="nofollow">1M4N</a>: its biological unit is a dimer that happens through a 2-fold operator and is the largest interface found in the crystal.</p>
<p dir="auto">Looking at crystal contacts can also be important in order to assess the quality and reliability of the deposited PDB model: an AU can look perfectly fine but then upon reconstruction of the lattice the molecules can be clashing, which indicates that something is wrong in the model.</p>
<div class="markdown-heading" dir="auto"><h2 tabindex="-1" class="heading-element" dir="auto">Getting the set of unique contacts in the crystal lattice</h2><a id="user-content-getting-the-set-of-unique-contacts-in-the-crystal-lattice" class="anchor" aria-label="Permalink: Getting the set of unique contacts in the crystal lattice" href="#getting-the-set-of-unique-contacts-in-the-crystal-lattice"><svg data-component="Octicon" class="octicon octicon-link" viewBox="0 0 16 16" version="1.1" width="16" height="16" aria-hidden="true"><path d="m7.775 3.275 1.25-1.25a3.5 3.5 0 1 1 4.95 4.95l-2.5 2.5a3.5 3.5 0 0 1-4.95 0 .751.751 0 0 1 .018-1.042.751.751 0 0 1 1.042-.018 1.998 1.998 0 0 0 2.83 0l2.5-2.5a2.002 2.002 0 0 0-2.83-2.83l-1.25 1.25a.751.751 0 0 1-1.042-.018.751.751 0 0 1-.018-1.042Zm-4.69 9.64a1.998 1.998 0 0 0 2.83 0l1.25-1.25a.751.751 0 0 1 1.042.018.751.751 0 0 1 .018 1.042l-1.25 1.25a3.5 3.5 0 1 1-4.95-4.95l2.5-2.5a3.5 3.5 0 0 1 4.95 0 .751.751 0 0 1-.018 1.042.751.751 0 0 1-1.042.018 1.998 1.998 0 0 0-2.83 0l-2.5 2.5a1.998 1.998 0 0 0 0 2.83Z"></path></svg></a></div>
<p dir="auto">This code snippet will produce a list of all non-redundant interfaces present in the crystal lattice of PDB entry <a href="https://www.rcsb.org/structure/1SMT" rel="nofollow">1SMT</a>:</p>
<div class="highlight highlight-source-java notranslate position-relative overflow-auto" dir="auto" data-snippet-clipboard-copy-content="		AtomCache cache = new AtomCache();
		
		StructureIO.setAtomCache(cache); 
		
		Structure structure = StructureIO.getStructure(&quot;1SMT&quot;);
			
		CrystalBuilder cb = new CrystalBuilder(structure);
		
		// 6 is the distance cutoff to consider 2 atoms in contact
		StructureInterfaceList interfaces = cb.getUniqueInterfaces(6);
		
		System.out.println(&quot;The crystal contains &quot;+interfaces.size()+&quot; unique interfaces&quot;);

		// this calculates the buried surface areas of all interfaces and sorts them by areas
		interfaces.calcAsas(3000, 1, -1);

		// we can get the largest interface in the crystal and look at its area
		interfaces.get(1).getTotalArea();
"><pre>		<span class="pl-smi">AtomCache</span> <span class="pl-s1">cache</span> = <span class="pl-k">new</span> <span class="pl-smi">AtomCache</span>();
		
		<span class="pl-smi">StructureIO</span>.<span class="pl-en">setAtomCache</span>(<span class="pl-s1">cache</span>); 
		
		<span class="pl-smi">Structure</span> <span class="pl-s1">structure</span> = <span class="pl-smi">StructureIO</span>.<span class="pl-en">getStructure</span>(<span class="pl-s">"1SMT"</span>);
			
		<span class="pl-smi">CrystalBuilder</span> <span class="pl-s1">cb</span> = <span class="pl-k">new</span> <span class="pl-smi">CrystalBuilder</span>(<span class="pl-s1">structure</span>);
		
		<span class="pl-c">// 6 is the distance cutoff to consider 2 atoms in contact</span>
		<span class="pl-smi">StructureInterfaceList</span> <span class="pl-s1">interfaces</span> = <span class="pl-s1">cb</span>.<span class="pl-en">getUniqueInterfaces</span>(<span class="pl-c1">6</span>);
		
		<span class="pl-smi">System</span>.<span class="pl-s1">out</span>.<span class="pl-en">println</span>(<span class="pl-s">"The crystal contains "</span>+<span class="pl-s1">interfaces</span>.<span class="pl-en">size</span>()+<span class="pl-s">" unique interfaces"</span>);

		<span class="pl-c">// this calculates the buried surface areas of all interfaces and sorts them by areas</span>
		<span class="pl-s1">interfaces</span>.<span class="pl-en">calcAsas</span>(<span class="pl-c1">3000</span>, <span class="pl-c1">1</span>, -<span class="pl-c1">1</span>);

		<span class="pl-c">// we can get the largest interface in the crystal and look at its area</span>
		<span class="pl-s1">interfaces</span>.<span class="pl-en">get</span>(<span class="pl-c1">1</span>).<span class="pl-en">getTotalArea</span>();</pre></div>
<p dir="auto">An interface is defined here as any 2 chains with at least a pair of atoms within the given distance cutoff (6 A in the example above).</p>
<p dir="auto">The algorithm to find all unique interfaces in the crystal works roughly like this:</p>
<ul dir="auto">
<li>Reconstructs the full unit cell by applying the matrix operators of the corresponding space group to the Asymmetric Unit.</li>
<li>Searches all cells around the original one by applying crystal translations, if any 2 chains in that search is found to contact then the new contact is added to the final list.</li>
<li>The search is performend without repeating redundant symmetry operators, making sure that if a contact is found then it is a unique contact.</li>
</ul>
<p dir="auto">See <a href="https://github.com/biojava/biojava/blob/master/biojava-structure/src/main/java/demo/DemoCrystalInterfaces.java">DemoCrystalInterfaces</a> for a fully working demo of the example above.</p>
<div class="markdown-heading" dir="auto"><h2 tabindex="-1" class="heading-element" dir="auto">Clustering the interfaces</h2><a id="user-content-clustering-the-interfaces" class="anchor" aria-label="Permalink: Clustering the interfaces" href="#clustering-the-interfaces"><svg data-component="Octicon" class="octicon octicon-link" viewBox="0 0 16 16" version="1.1" width="16" height="16" aria-hidden="true"><path d="m7.775 3.275 1.25-1.25a3.5 3.5 0 1 1 4.95 4.95l-2.5 2.5a3.5 3.5 0 0 1-4.95 0 .751.751 0 0 1 .018-1.042.751.751 0 0 1 1.042-.018 1.998 1.998 0 0 0 2.83 0l2.5-2.5a2.002 2.002 0 0 0-2.83-2.83l-1.25 1.25a.751.751 0 0 1-1.042-.018.751.751 0 0 1-.018-1.042Zm-4.69 9.64a1.998 1.998 0 0 0 2.83 0l1.25-1.25a.751.751 0 0 1 1.042.018.751.751 0 0 1 .018 1.042l-1.25 1.25a3.5 3.5 0 1 1-4.95-4.95l2.5-2.5a3.5 3.5 0 0 1 4.95 0 .751.751 0 0 1-.018 1.042.751.751 0 0 1-1.042.018 1.998 1.998 0 0 0-2.83 0l-2.5 2.5a1.998 1.998 0 0 0 0 2.83Z"></path></svg></a></div>
<p dir="auto">One can also cluster the interfaces based on their similarity. The similarity is measured through contact overlap: number of common contacts over average number of contact in both chains. The clustering can be done as following:</p>
<div class="highlight highlight-source-java notranslate position-relative overflow-auto" dir="auto" data-snippet-clipboard-copy-content="		List&lt;StructureInterfaceCluster&gt; clusters = interfaces.getClusters();
		for (StructureInterfaceCluster cluster:clusters) {
			System.out.print(&quot;Cluster &quot;+cluster.getId()+&quot; members: &quot;);
			for (StructureInterface member:cluster.getMembers()) {
				System.out.print(member.getId()+&quot; &quot;);
			}
			System.out.println();
		}"><pre>		<span class="pl-smi">List</span>&lt;<span class="pl-smi">StructureInterfaceCluster</span>&gt; <span class="pl-s1">clusters</span> = <span class="pl-s1">interfaces</span>.<span class="pl-en">getClusters</span>();
		<span class="pl-k">for</span> (<span class="pl-smi">StructureInterfaceCluster</span> <span class="pl-s1">cluster</span>:<span class="pl-s1">clusters</span>) {
			<span class="pl-smi">System</span>.<span class="pl-s1">out</span>.<span class="pl-en">print</span>(<span class="pl-s">"Cluster "</span>+<span class="pl-s1">cluster</span>.<span class="pl-en">getId</span>()+<span class="pl-s">" members: "</span>);
			<span class="pl-k">for</span> (<span class="pl-smi">StructureInterface</span> <span class="pl-s1">member</span>:<span class="pl-s1">cluster</span>.<span class="pl-en">getMembers</span>()) {
				<span class="pl-smi">System</span>.<span class="pl-s1">out</span>.<span class="pl-en">print</span>(<span class="pl-s1">member</span>.<span class="pl-en">getId</span>()+<span class="pl-s">" "</span>);
			}
			<span class="pl-smi">System</span>.<span class="pl-s1">out</span>.<span class="pl-en">println</span>();
		}</pre></div>

<hr>
<p dir="auto">Navigation:
<a href="/biojava/biojava-tutorial/blob/master/README.md">Home</a>
| <a href="/biojava/biojava-tutorial/blob/master/structure/README.md">Book 3: The Structure Modules</a>
| Chapter 13 - Finding all Interfaces in Crystal: Crystal Contacts</p>
<p dir="auto">Prev: <a href="/biojava/biojava-tutorial/blob/master/structure/contact-map.md">Chapter 12 : Contacts Within a Chain and between Chains</a></p>
<p dir="auto">Next: <a href="/biojava/biojava-tutorial/blob/master/structure/symmetry.md">Chapter 14 : Protein Symmetry</a></p>
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