
die Abspaltung
split-off
The separation of one part from a larger group, organization, or state.
Die politische Partei fürchtete eine Abspaltung ihres linken Flügels.
The political party feared a split-off of its left wing.
split-off / separation
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split-off
The separation of one part from a larger group, organization, or state.
Die politische Partei fürchtete eine Abspaltung ihres linken Flügels.
The political party feared a split-off of its left wing.

cleavage / removal
In chemistry or biology, the separation of an atom or group of atoms from a molecule.
Bei der Reaktion findet eine Abspaltung von Kohlendioxid statt.
During the reaction, the removal of carbon dioxide takes place.
The word derives from the separable verb 'abspalten' (to split off). The prefix 'ab-' means 'away,' and 'spalten' means 'to split' or 'to separate.' The ending '-ung' turns the verb into a feminine noun that describes the process of separation.
Die Abspaltung des kleinen Unternehmens vom Mutterkonzern war kompliziert.
The split-off of the small company from the parent corporation was complicated.
'Abspaltung' (split-off/separation) is almost always used with the preposition 'von' and the dative to show what a part separates from.
Es gab Gerüchte über eine Abspaltung von der Regierungspartei.
There were rumors about a split-off from the governing party.
In a political or social context, you often hear of a 'drohende Abspaltung' (threatened split-off) or that 'es zu einer Abspaltung kommt' (a split-off occurs). Verbs like 'verhindern' (to prevent) or 'befürchten' (to fear) are also typical.
Die Parteiführung versucht, eine Abspaltung zu verhindern.
The party leadership is trying to prevent a split-off.
This meaning of 'Abspaltung' (cleavage/removal) belongs to the technical language of chemistry and biology. You will rarely hear it in everyday life.
Der Prozess erfordert die Abspaltung einer Carboxylgruppe.
The process requires the cleavage of a carboxyl group.
split / division
Spaltung refers to the division of an entire group into several camps. Abspaltung, by contrast, focuses on a part that breaks away from the larger group. For a political party, use Spaltung for the division as a whole and Abspaltung for the departure of a particular faction.

Der Streit führte zur Abspaltung eines Flügels von der Partei.
The dispute led to a faction breaking away from the party.
Der Streit führte zur Spaltung der Partei in zwei gegnerische Lager.
The dispute led to the party’s split into two opposing camps.