← All parts of this equation

Equation 9 · Part 3 · How Planetary Science and Exploration Actually Work

Symbol I_0

I(λ)=I0(λ) e−τ(λ),τ(λ)=∫n(z) σ(λ,z) dz,I(\lambda) = I_0(\lambda)\, e^{-\tau(\lambda)}, \qquad \tau(\lambda) = \int n(z)\,\sigma(\lambda, z)\, dz,
I0I_0

What this part means

the incident spectrum, τ(λ)\tau(\lambda) the wavelength-dependent optical depth, n(z) the number density of an absorbing species at altitude z.

Its job in the formula

I0I_0 is one of the signed contributions combined to compute the quantity on the left.

Where the article explains it

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 passage around this formula

…filtered through the atmosphere’s outer layers before reaching the detector. Each gas absorbs a characteristic set of wavelengths, governed to first approximation by the Beer–Lambert relation, I(λ)=I0(λ) e−τ(λ),τ(λ)=∫n(z) σ(λ,z) dzI(\lambda) = I_0(\lambda)\, e^{-\tau(\lambda)}, \qquad \tau(\lambda) = \int n(z)\,\sigma(\lambda, z)\, dz. 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…

Read this part in the article →

Learn the underlying idea

A subscript is a label attached below a symbol. It often selects a time step, component, category, or member of a sequence.

Open the illustrated subscripts: which member of a family? guide →

See this notation across published equations →

Sources cited in the article section

These citations provide research context; check each source for the exact claim it supports.