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.

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.
separation
'die Trennung' and 'die Abspaltung' can both mean that something no longer belongs to something else. 'Trennung' is the more general word: it can be about people, things, or abstract areas. 'Abspaltung' is more precise when a part breaks away from a larger group, organization, or state. It often remains clear that there was previously a larger whole. Learners may confuse the words because both describe a moving apart. If something is simply being separated in a general sense, you are more likely to say 'Trennung'. If a part leaves a larger unit, 'Abspaltung' is more precise.

Die Abspaltung einer kleinen Gruppe führte zur Gründung eines neuen Vereins.
The split-off of a small group led to the founding of a new association.
Für die Prüfung wiederholen wir die Trennung von Kirche und Staat.
For the exam, we are reviewing the separation of church and state.