Could Atmospheric Conductivity Help Regulate Antarctic Temperature?

The “Effective” emissivity of the atmosphere does not have to be large to be significant. The relationship to what is a small value of the thermal conductivity of the atmosphere is what is important. Note: In the table below borrowed from Thermal conductivity of CO2, http://www.engineeringtoolbox.com/carbon-dioxide-d_1000.html that the thermal conductivity of CO2 increases to its maximum near -20 C then decreases. Odd that? Now where in the world would that matter?
While I am sure that the thermal conductivity of the atmosphere is a constant topic of conversation among climate scientists, I have never heard it mentioned except when I asked about its impact.

So when I get around to it, I will attempt to fine tune the Kimoto equation, for now, I am comfortable with my preliminary results.
Temperature
- T -
(oC) Density
- ρ -
(kg/m3) Specific Heat Capacity
- cp -
(103 J/kg K) Thermal Conductivity
- k -
(W/m K) Kinematic Viscosity
- ν -
(10-6 m2/s) Prandtl Number
- Pr -
-50 1156 1.84 0.086 0.119 2.96
-40 1118 1.88 0.101 0.118 2.46
-30 1077 1.97 0.112 0.117 2.22
-20 1032 2.05 0.115 0.115 2.12
-10 983 2.18 0.110 0.113 2.20
0 927 2.47 0.105 0.108 2.38
10 860 3.14 0.097 0.101 2.80
20 773 5.0 0.087 0.091 4.10
30 598 36.4 0.070 0.080 28.7