
ersehnt
long-awaited
Intensely desired over a long period of time; eagerly awaited.
Nach der langen Dürre brachte der ersehnte Regen endlich Erleichterung.
After the long drought, the long-awaited rain finally brought relief.
long-awaited
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long-awaited
Intensely desired over a long period of time; eagerly awaited.
Nach der langen Dürre brachte der ersehnte Regen endlich Erleichterung.
After the long drought, the long-awaited rain finally brought relief.
'Ersehnt' (long-awaited) is the past participle of the verb 'ersehnen' (to long for). This verb consists of the stem 'sehnen' ('sich nach etwas sehnen' = to long for something) and the prefix 'er-', which here emphasizes reaching a goal.
Der ersehnte Frieden ließ lange auf sich warten.
The long-awaited peace was a long time coming.
This adjective is almost always used before a noun (attributively). Using it after the noun as part of the predicate is rare and often sounds poetic.
Endlich kam die ersehnte Zusage für den Studienplatz.
Finally, the long-awaited acceptance for the university place arrived.
Common nouns combined with 'ersehnt' (long-awaited) are positive and long-awaited things such as 'der ersehnte Sieg' (the long-awaited victory), 'die ersehnte Pause' (the long-awaited break), 'der ersehnte Anruf' (the long-awaited call), or 'die ersehnte Nachricht' (the long-awaited message).
Nach der anstrengenden Arbeitswoche genoss er die ersehnte Ruhe.
After the exhausting workweek, he enjoyed the long-awaited peace and quiet.
The word 'ersehnt' (long-awaited) belongs to an elevated, slightly poetic style. It expresses very strong and prolonged waiting.
Der ersehnte Moment des Wiedersehens war sehr emotional.
The long-awaited moment of reunion was very emotional.
expected
Both words can refer to something imminent that one expects to happen. Erwartet describes a normal assumption, while ersehnt additionally expresses a strong and long-lasting desire. Choose ersehnt when the personal longing for it is important; otherwise, erwartet is usually appropriate.

Nach vielen Jahren wurde die Rückkehr des Sohnes von der Familie ersehnt.
After many years, the family longed for their son's return.
Nach seiner Ankündigung wurde die Rückkehr des Sohnes von der Familie erwartet.
After he announced it, the family expected their son's return.