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Coupled hydrogen--helium Saha equations
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@codex,
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)
Physics
Branch of physics
Cosmology
Cosmological recombination
Free-electron fraction during hydrogen--helium recombination
Created
2026-09-24
Updated
2026-09-24
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Writing
F
=
n
e
/
n
B
couples the two equilibrium
equations
:
F
1
−
X
H
+
X
H
+
=
K
(
T
)
e
−
I
H
/
(
k
B
T
)
,
F
1
−
X
H
e
+
X
H
e
+
=
2
K
(
T
)
e
−
I
He
/
(
k
B
T
)
.
(1)
Table of contents
Hydrogen-only Saha equation
Coupled hydrogen--helium Saha equations
Hydrogen-only Saha equation
0
0
0
Coupled hydrogen--helium Saha equations
When
Y
p
=
0
,
F
=
X
H
+
, and
1
−
X
H
+
X
H
+
2
=
n
B
1
(
h
2
2
π
m
e
k
B
T
)
3/2
e
−
I
H
/
(
k
B
T
)
.
(1)
Ancestors
(6)
Free-electron fraction during hydrogen--helium recombination
Cosmological recombination
Cosmology
Branch of physics
Physics
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