# 铀铅测年法

## 化学上的细节

${\displaystyle N_{\mathrm {Now} }=N_{\mathrm {Orig} }e^{-\lambda t}\,}$

• ${\displaystyle N_{\mathrm {Now} ))$ 是测量时的铀原子数量。
• ${\displaystyle N_{\mathrm {Orig} ))$ 是铀原子原始数量，相等于测量时铀和铅原子的总量。
• ${\displaystyle \lambda }$ 是铀的衰变率。
• ${\displaystyle t}$ 是锆石的年龄，即需要测定的变量。

${\displaystyle N_{\mathrm {U} }=\left(N_{\mathrm {U} }+N_{\mathrm {Pb} }\right)e^{-\lambda _{\mathrm {U} }t}\,}$

${\displaystyle ((N_{\mathrm {U} )) \over {N_{\mathrm {U} }+N_{\mathrm {Pb} ))}=e^{-\lambda _{\mathrm {U} }t}\,}$

${\displaystyle 1+((N_{\mathrm {Pb} )) \over {N_{\mathrm {U} ))}=e^{\lambda _{\mathrm {U} }t}\,}$

${\displaystyle ((^{\text{206))\,\!{\text{Pb))^{*)) \over {^{\text{238))\,\!{\text{U))))=e^{\lambda _{238}t}-1}$

(1)

${\displaystyle ((^{\text{207))\,\!{\text{Pb))^{*)) \over {^{\text{235))\,\!{\text{U))))=e^{\lambda _{235}t}-1}$

(2)

## 参考资料

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