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Page 3 of 8
OZONE
NATURAL AND ANTHROPOGENETIC POLLUTION LIMITS OF THE STRATOSPHERIC OZONE
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Results and discussions
The evolution trends of the stratospheric ozone in 1985 and 1991-1992
(the far equilibrium stability)
It was calculated using equation (3) and the stratospheric minor constituents concentration values reported by J. Levine, The Photochemistry of Atmosphere, Earth, the other planets and comets, Academic Press, New York, 1985 and G. Braathen et al., EASOE 1991-92 experimental data CD-ROM, Norvegian Institute for Air Research, Oslo, 1995
The roots of the characteristic equation
Calculated values for 1985 (This paper)
Calculated values for 1992 (This paper)
w1
- 3240
- 7.27 × 103
w2
-70.65
- 1.87 × 102
w3
-17.5
- 3.65
w4
- 9.87 × 10-2
- 20.5
w5
- 4.87 × 10-2
- 2.38 × 10-5
w6
- 9.9 × 10-8
- 5.64 × 10-9
All the roots of the characteristic equation are real and negative. Then, we are in the case (a) of Lyapounov theorem of stability.
The stratospheric ozone layer reaches a steady-state for any values of the ozone pollutant concentration.
 
The lower and upper limits of the ozone and pollutants
Specie Natural limits
(this paper) (cm-3)
Pollution permitted limits
(this paper) (cm-3)
Measured data
[EASOE 1991-92] (cm-3)
O3 1.053 × 1015* 1.26 × 1013** 1.51 × 1014
HO2 5 × 106 5.37 × 1011 5 × 106
NO2 108 1.74 × 1012 1.4 × 1010
F12 104 1.8 × 1013 3.7 × 106
F11 103 3.85 × 1012 1.3 × 106
* Upper limit
** Lower limit
The natural and anthropogenetic ways to destroy ozone are now separated.
The left margins of the pollutant domains are the lower limits of the "natural" pollution.
The corresponding ozone concentration is their upper limit, which has been reached at the beginning of the ozone layer formation.
The right margins represent the upper limits of the anthropogenetic "permitted" pollution.
 
The steady-state existence condition
The natural limits and the limits of the permitted pollution for NO2 and HO2 are included in the ozone layer stability domain.
 
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