Ozone (
) is the form of oxygen consisting of three bound oxygen atoms. It is stable only in high-energy environments (such as near electric discharges). It can be formed by the reactions,
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and depleted by
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The Chapman stratospheric ozone theory assumes pure oxygen chemistry (no surface chemistry or catalysis) and photochemical equilibrium (no transport). Consider the following reactions, where M is an unspecified third species,
[Ctrl+A 全部选择 提示:你可先修改部分代码,再按运行]
where
,
,
and are rate constants and
and
are photodissociation constants given at 40 km altitude mid-latitude (250 K, 2.9 mbar). At this location, the concentrations of M and O2 are
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The destruction rates are
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In equilibrium, [O2] and [M] are constant. Therefore, define the following constants
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In equilibrium, (9) and (10) must be zero. Substituting the constants in then gives
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Define odd oxygen by
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then
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If we assume that recycling is much more rapid than net production and loss of O and O3 in photochemical equilibrium
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then (15) becomes
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We know that
. If we know assume that the major loss of Ox is by the second (and not third reaction), we can approximate (17) by
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Dividing (19) by (20)
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Plugging the solution for [O3] into (19) gives
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(1)
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(2)
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(3)
and depleted by
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(4)
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(5)
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(6)
The Chapman stratospheric ozone theory assumes pure oxygen chemistry (no surface chemistry or catalysis) and photochemical equilibrium (no transport). Consider the following reactions, where M is an unspecified third species,
[Ctrl+A 全部选择 提示:你可先修改部分代码,再按运行]
where
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(7)
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(8)
The destruction rates are
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(9)
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(10)
In equilibrium, [O2] and [M] are constant. Therefore, define the following constants
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(11)
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(12)
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(13)
In equilibrium, (9) and (10) must be zero. Substituting the constants in then gives
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(14)
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(15)
Define odd oxygen by
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(6)
then
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(17)
If we assume that recycling is much more rapid than net production and loss of O and O3 in photochemical equilibrium
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(18)
then (15) becomes
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(19)
We know that
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(20)
Dividing (19) by (20)
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(21)
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(22)
Plugging the solution for [O3] into (19) gives
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(23)
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