# 復合 (宇宙學)

（重定向自复合 (宇宙学)

## 復合時代的推導

${\displaystyle H+\gamma \longleftrightarrow p+e^{-}.}$ [1]

${\displaystyle {\frac {n_{\text{H}}}{n_{\text{p}}n_{\text{e}}}}=\left({\frac {m_{\text{e}}k_{\text{B}}T}{2\pi \hbar ^{2}}}\right)^{-3/2}\exp \left({\frac {Q}{k_{\text{B}}T}}\right),}$

${\displaystyle X={\frac {n_{\text{p}}}{n_{\text{p}}+n_{\text{H}}}},}$ [3]

${\displaystyle {\frac {1-X}{X}}=n_{\text{p}}\left({\frac {m_{\text{e}}k_{\text{B}}T}{2\pi \hbar ^{2}}}\right)^{-3/2}\exp \left({\frac {Q}{k_{\text{B}}T}}\right).}$ [3]

${\displaystyle n_{\gamma }=0.243\left({\frac {k_{\text{B}}T}{\hbar c}}\right)^{3},}$

${\displaystyle {\frac {1-X}{X^{2}}}=3.84\eta \left({\frac {k_{\text{B}}T}{m_{\text{e}}c^{2}}}\right)^{3/2}\exp \left({\frac {Q}{k_{\text{B}}T}}\right).}$ [4]

## 註解

1. ^ 請注意：再結合是不當的用詞，這是描述第一次電中性氫的形成

## 參考資料

1. ^ Ryden (2003), p. 156.
2. ^ Ryden (2003), p. 157.
3. Ryden (2003), p. 153.
4. ^ Ryden (2003), p. 158.
5. ^ Longair (2006), p. 32.
6. ^ Longair (2006), p. 278.
7. ^ Longair (2006), p. 279.
8. ^ Padmanabhan (1993), p. 112.
9. ^ Padmanabhan (1993), pp. 116–117.
10. ^ Galli et al. (2008), p.1.
11. ^ Longair (2006), p. 280.