“…At values of T and p routinely encountered within the Earth’s atmosphere, σ can comprise a relatively smooth function of frequency, v , in congested spectral regions (e.g., volatile organic compounds in air [24, 25]), or when the absorber lifetime is short (e.g., collision-induced absorption [8]). When clusters of overlapping lines are resolved (e.g., the overtone spectrum of methane [20, 21]), we can express σ as a summation over a physically justified choice of line shape profiles (including line mixing) scaled by the respective molecular line intensities ( S ), which can be calculated in terms of invariants of nature. Importantly, this approach yields first-principles models for σ .…”