There's no Greenhouse Effect

If an atmospheric greenhouse effect existed for CO₂, it will be possible to measure the ‘back-radiation’. It will show up in both the thermal conductivity (λ) and isochoric thermal diffusivity (aᵥ) properties. Scientists will then be able to calculate it precisely using either or both these 2 physical properties of CO₂. But
Q: why do climate scientists not measure it that way; despite billions of dollars in funding lavished on them?
Q: Would attempting to measure it prove them wrong?

		amount present in atmosphere ( vol.)
	formula	ppm	relative to CO₂	λ (25 C), [ W / m K]	aᵥ [ m² / s ]
Nitrogen	N₂	780900	1855	0.0259	3.038 × 10⁻⁵
Oxygen	O₂	209400	497	0.0262	3.040 × 10⁻⁵
Argon	Ar	9300	22	0.0178	3.586 × 10⁻⁵
Carbon dioxide	CO₂	421	1	0.0167	1.427 × 10⁻⁵

λ :

thermal conductivity, determines how much heat per time unit and temperature difference flows in a medium;

aᵥ :

isochoric thermal diffusivity, determines how rapidly a temperature change spreads, expressed as area per time unit

Source:

Falsification Of The Atmospheric CO₂ Greenhouse Effects Within The Frame Of Physics, version 4;
Gerhard Gerlich & Ralf D. Tscheuschner, 2009,
arXiv:0707.1161 abstract, pdf