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地球科学 1949

《用放射性碳含量测定年代:以已知年代的样品检验》

詹姆斯·阿诺德 与 威拉德·利比

生时从空气摄入碳-14,一死即止;它的衰变数出逝去的年头。

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In depth · the introduction

每一个活物,都以同一种方式微微带有放射性——而它一死,那一缕微光便开始极其缓慢地黯淡下去。读出它黯淡了多少,你就读出了它在多久以前死去。

核心想法

在高空,宇宙射线不断把寻常的氮变成一种稀有的放射性碳,叫作碳-14。它飘落下来,以二氧化碳的形式混入空气,每一株植物都把它吸进去——吃植物的每一只动物,也随之摄入。所以你活着的时候,体内保有一份固定而微小的碳-14,并从空气中不断补足。

一旦某样东西死去,补足便停止了。自那一刻起,它所含的碳-14 便以一种完全稳定、已知的速度缓缓衰变——每过 5730 年就少掉一半。量一量一根旧骨、一粒种子或一片碎布里还剩多少,简单的算术就能告诉你它在多久以前停止了生命。

拿我们早已定年的东西来验证

光有聪明的想法还不够;利比必须证明它给出的是正确答案。于是他与詹姆斯·阿诺德搜集了一批年代早有别的依据可考的物件——历史学家已为其在位年代定年的埃及法老陵中的木料,以及可以一圈一圈数出年岁的树干。他们测出每件样品里的碳-14,预测其年龄,再把预测对照已知的真相画成图。这些点排成了一线。譬如,法老佐塞尔陵中木料的放射性碳年龄,正好落在「约 4600 岁的木头」该在的地方。那张图——「已知曲线」——便是证据;1960 年,利比因此获得诺贝尔化学奖。

它为何重要

在此之前,人类的远古几乎全无确切年代。考古学家能说某一层比另一层更老,却说不出老多少,更说不出究竟是哪一年。放射性碳一夜之间改变了这一切。忽然之间,一座远古村落里一粒烧焦的谷子、一幅洞穴壁画上一片木炭、一具裹尸布上的一根线,都能被钉到某一个年份上——在地球的任何角落,用的都是同一座通用的钟。它改写了农业、迁徙与文明的时间线,至今仍是考古学中使用最广的定年方法。

一个可以想象的画面

想象一棵树被砍下的那天,它的木头被交予一堆发光的余烬,从此再无人添柴,而每过 5730 年,恰好有一半余烬熄灭。很久以后你走进屋子,数一数仍在发光的余烬:满满一堆,说明它刚被砍下;剩一半,约是 5730 年;剩四分之一,便是那的两倍。那些余烬就是碳-14,而数它们的光,正是放射性碳实验室所做的事。

一条碳-14 剩余量随死亡至今时间变化的衰变曲线;滑块沿曲线移动一个点,读数显示剩余百分比,并有活体样品、死海古卷、奥兹冰人、拉斯科木炭与定年极限的预设按钮。

它的位置

放射性碳定年,脱胎于居里(1898)与卢瑟福(1911)所发现的放射性,是一大家子「原子钟」中的一支。它的表亲——铅同位素定年——让帕特森(1956)以数十亿年为单位称出了整颗地球的年龄;放射性碳则工作在世纪与千年这一人类的尺度上。两者携手,终于为赫顿(1788)与莱伊尔(1830)只能论证其必然存在的那段深远时间,填上了真实的数字。

The original document
Original source text
J. R. Arnold & W. F. Libby · Science 110(2869): 678–680 · 1949 · Institute for Nuclear Studies, University of Chicago
The problem (paraphrase)
Cosmic rays striking the upper atmosphere make a slow trickle of radioactive carbon-14, which mixes through the air as CO₂ and enters every living thing. While an organism lives it keeps replacing this carbon, so its tissues hold the same small radiocarbon fraction as the atmosphere. At death the exchange stops and the trapped ¹⁴C decays away at a fixed rate. The question this paper sets out to settle is not whether that should work in principle, but whether the radiocarbon ages it yields actually match the real ages of objects we already know.
The method (paraphrase)
Each sample's carbon is converted to a countable form and its residual ¹⁴C beta-activity is compared against contemporary wood, which stands for the living atmosphere. From the ratio of activities the age follows from radioactive decay, N = N₀e^(−λt), using the half-life Libby had measured (then 5568 ± 30 years). Because the surviving activity is tiny, the measurement demands heavy shielding and careful subtraction of background counts.
The known-age checks — the “Curve of Knowns”
The test samples were objects whose calendar ages were independently fixed by Egyptian history or by tree-ring counting. They included wood from the tombs of the pharaohs Zoser (Djoser) and Sneferu — historically about 2625 BC ± 75 — together with sequoia and Douglas-fir wood dated by dendrochronology and a piece of the funerary boat of Sesostris III. Plotting each predicted radiocarbon age against its known age, the points fell along the expected line: the Zoser–Sneferu wood, for instance, came out at about 2800 BC ± 250 against the historical 2625 BC ± 75.
The result (paraphrase)
Predicted and known ages agreed within the experimental scatter, across several thousand years. That agreement is the whole argument: a physical clock, calibrated only by nuclear decay, reproduced dates that historians and tree-rings had set by entirely separate means. With that, radiocarbon became a usable instrument, in principle reaching back tens of thousands of years.
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Institute for Nuclear Studies, University of Chicago · 1949