promotion / transfer / dislocation
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promotion
In the school system: the official permission for a student to move up to the next higher grade.
Wenn er die Prüfung nicht besteht, ist seine Versetzung gefährdet.
If he doesn't pass the exam, his promotion to the next grade is at risk.
'Die Versetzung' comes from the verb 'versetzen' (to move, transfer, or relocate). The ending '-ung' forms a feminine noun that describes the process or result of 'Versetzen' (moving/transferring).
Die Versetzung des Denkmals an einen neuen Ort wird diskutiert.
The relocation of the monument to a new place is being discussed.
The context makes the meaning clear. In connection with school, it is about moving up to the next grade. In a professional environment, it is about a workplace transfer. In scientific physics texts, it refers to crystal defects.
Ohne gute Noten in Mathe ist die Versetzung schwierig.
Without good grades in math, promotion to the next grade is difficult.
In a school context, typical expressions are 'die Versetzung schaffen' (to make it to the next grade), 'die Versetzung nicht schaffen' (not to make it to the next grade), or that 'die Versetzung gefährdet ist' (promotion to the next grade is at risk).
Sie hat hart gearbeitet und die Versetzung am Ende doch geschafft.
She worked hard and in the end did manage to get promoted to the next grade.
With a professional transfer, the destination is often given with the prepositions 'in' or 'an' plus the accusative. People speak of 'Versetzung in eine andere Stadt' (transfer to another city) or 'Versetzung an einen neuen Standort' (transfer to a new location).
Ihre Versetzung an den Hauptsitz des Unternehmens steht kurz bevor.
Her transfer to the company's headquarters is imminent.
The meaning 'Kristallfehler' (crystal defect) is purely a technical term from physics and materials science. Outside this scientific context, you will practically never encounter this meaning.
Im Praktikum untersuchten die Studenten die Dichte von Versetzungen in Metallen.
In the lab course, the students examined the density of dislocations in metals.
change / switch
'der Wechsel' and 'die Versetzung' can both describe a change in working life. 'Wechsel' is more general and can mean that someone changes positions, departments, professions, or even companies. 'Versetzung' is more specific: a person is given a different workplace, a different department, or a different location within the same company or organization. This is often decided officially by the employer. If someone moves to a completely new company by choice, you are more likely to say 'Wechsel' than 'Versetzung'.
Nach der Versetzung arbeitet Herr Kaya nicht mehr in Köln, sondern in Bonn.
After the transfer, Mr. Kaya no longer works in Cologne, but in Bonn.
Mila plant einen Wechsel in eine kleinere Firma, weil sie mehr Ruhe möchte.
Mila is planning a move to a smaller company because she wants more peace and quiet.