forked from EduCraft/curriculum-project-hub
c73a2c903f
Real-content fixture for the end-to-end pipeline. TH-141 (39 parts: 22 segment, 15 lemma, 2 example) migrated from the prototype's typst `#let parts` manifest to ADR-0008: declarative manifest.toml (project+info+ordered parts+targets) + per-element element.toml (kind + scalars; examples carry `source`). Content .typ files copied byte-identical (no math corruption); per-element main.typ + meta.toml dropped (wiring is now generated). Part order matches source exactly; 5 lemmas have no proof.typ (optional); no cross-file imports / paralearn refs / figs. Co-Authored-By: Claude Opus 4.8 (1M context) <noreply@anthropic.com>
9 lines
450 B
Typst
9 lines
450 B
Typst
通过对几何晶格直接数缺键数,可以把 @缺键一般式 中的 $zeta$ 落到具体数字:
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- 简单立方 (100) 面:$Z = 6$、$Z_s = 5$,$zeta = 5\/6$。
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- 面心立方 (111) 面:$Z = 12$、$Z_s = 9$,$zeta = 3\/4$。
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- 面心立方 (100) 面:$Z_s = 8$,$zeta = 2\/3$。
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- 面心立方 (110) 面:$zeta < 2\/3$。
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后续讨论以 FCC (111) 面为代表,因其密度最大、$gamma$ 最低、平衡形貌中最易出现。
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