
Ben S. answered 08/22/23
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But what events are the basis for dividing time into discrete bands?
You seem to have answered your own question here. Geology and/or fossil species distinguish consecutive time units. The geologic time scale organizes strata by observing changes in stratigraphy that correlate with major paleontological or geological events.
Is there a more thorough list than this of the qualitative events and processes in Earth's history that motivate the specific ways we've defined eons, eras and periods?
Periods are subdivided into epochs, which are then divided into ages, which are further divided into chrons.
An epoch is the equivalent of a chronostratigraphic series. An age is the smallest geochronologic unit and is equal to a chronostratigraphic stage. An age, a non-hierarchical unit, is the equivalent of a chronostratigraphic chronozone.
However, I'll be satisfied with a summary of the key moments on which these divisions are based.
Hadean, 4600 Ma:
Formation of Earth (c. 4540 Ma), Formation of Moon (c. 4527 Ma)
Archean, 4000 Ma:
End of Late Heavy Bombardment; first life
Proterozoic, c. 2500 Ma:
First major rise in atmospheric oxygen, Huronian glaciation (c. 2300 Ma)
Phanerozoic, c. 538.8 Ma:
Cambrian explosion
First vertebrate land animals (c. 395 Ma)