forked from bai/curriculum-project-hub
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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>
17 lines
1.0 KiB
Typst
17 lines
1.0 KiB
Typst
把本章四种模型对常温水液气界面 $sigma_(L G)$ 的预测整理如下：
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#figure(
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table(
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columns: (auto, auto, auto),
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align: (left, left, left),
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table.header[*模型*][*$sigma$ 预测（$"N/m"$）*][*相对实测 $0.072$*],
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[量纲分析], [$tilde.op 0.1$], [量级正确],
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[Stefan ($zeta = 1\/2$)], [$approx 0.38$], [偏大约 5 倍],
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[缺键模型 ($zeta = 3\/4$，FCC (111))], [$approx 0.13$], [偏大约 2 倍],
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[Eötvös 规则（外推）], [$approx 0.072$], [量级与具体值都接近],
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),
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caption: [本章各模型对常温水 $sigma_(L G)$ 的预测]
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) <模型对照表>
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从表上读出的事实有两条：其一，所有模型都能给出对的量级；其二，量纲分析与 Stefan 这类"几乎不假设"的模型反而偏离最大，缺键模型代入具体晶面 $zeta$ 后精度提升一档，而完全唯象的 Eötvös 规则反而最接近实测。最简单的微观模型并不是最准的——粗略的微观模型给出量级，唯象的拟合规则给出具体值。
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