= Solution
An ideal <atmospheric biosignature gas> has a strong, distinguishable spectral signature, can accumulate to a detectable abundance, and has a biologically plausible production flux. Its abiotic sources should be small or identifiable from the planet's environmental context; its lifetime must be long enough for detection but compatible with continuing replenishment. A useful diagnosis may be a disequilibrium combination of gases rather than a single molecule.
A <primary metabolic byproduct> comes from reactions needed for energy generation, growth or biomass synthesis. Examples include methane from methanogenesis and oxygen released by oxygenic <photosynthesis>. A <secondary metabolic byproduct> results from specialized functions such as chemical defense, signaling or stress responses; <dimethyl sulfide> and <chloromethane> are examples. Secondary products can be chemically more distinctive but are often produced in much smaller amounts.
For modern <Earth>, \b[<molecular oxygen> (O2) and <nitrous oxide> (N2O) are characteristic, predominantly biologically maintained atmospheric gases]: oxygenic <photosynthesis> maintains the former, and microbial nitrogen cycling produces much of the latter. <Ozone> (O3) is also a classic remote biosignature, but is made photochemically from O2 rather than being a second independent metabolic product. If O2/O3 are counted as a two-gas observational pair, they diagnose the same oxygen reservoir.
The word “unique” needs qualification: no one gas is guaranteed to be biogenic on every planet. An <oxygen biosignature false positive> can arise from <water> loss or CO2 photochemistry in suitable environments, and nonbiological N2O production is possible. The modern terrestrial source attribution does not remove the need for context when interpreting another world.
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