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Equation 16 · How Planetary Science and Exploration Actually Work

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n(z)n(z)

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nn

Symbol n

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zz

Symbol z

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where I0(λ)I_0(\lambda) is the incident spectrum, τ(λ)\tau(\lambda) the wavelength-dependent optical depth, n(z) the number density of an absorbing species at altitude z , and σ(λ,z)\sigma(\lambda, z) its absorption cross-section, which itself depends on temperature and pressure. The instrument records I(λ\lambda) ; the abundance profile n(z) is recovered by inverting this relation against a model atmosphere, which means every composition result carries the assumptions of that model — cloud and haze opacity, temperature structure, and the line-list data used for σ(λ,z)\sigma(\lambda,z) — bundled in with the raw spectral measurement.

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