die Traurigkeit
sadness
The state or feeling of being sad; an emotional pain often caused by loss, disappointment, or misfortune.
Nach dem Abschied überkam sie eine tiefe Traurigkeit.
After the farewell, a deep sadness came over her.

sadness
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sadness
The state or feeling of being sad; an emotional pain often caused by loss, disappointment, or misfortune.
Nach dem Abschied überkam sie eine tiefe Traurigkeit.
After the farewell, a deep sadness came over her.

The noun 'die Traurigkeit' (sadness) is derived from the adjective 'traurig' (sad) with the suffix '-keit'. This suffix forms abstract nouns that describe a state or quality.
Ihre Traurigkeit war für alle spürbar.
Her sadness was noticeable to everyone.
'Traurigkeit' (sadness) is often described with adjectives such as 'tief' (deep) or 'groß' (great). Typical verbs are 'Traurigkeit fühlen' (to feel sadness), 'Traurigkeit empfinden' (to feel/experience sadness), or the impersonal expression 'die Traurigkeit überkam ihn' (sadness came over him).
Er konnte seine tiefe Traurigkeit nicht verbergen.
He could not hide his deep sadness.
This word is often used in written language or in conversations where feelings are described in a rather reflective or detached way. It names the feeling as an abstract concept.
In seinem Brief schrieb er über seine Traurigkeit und Einsamkeit.
In his letter, he wrote about his sadness and loneliness.
happiness / luck
'das Glück' and 'die Traurigkeit' are opposites when it comes to feelings. 'Glück' describes joy and inner contentment. 'Traurigkeit' describes a painful feeling, often after a disappointment, a loss, or a bad experience. Important: 'Glück' can also mean 'good luck', but in this contrast it is about the feeling. When someone is happy, you speak of 'Glück'. When someone is suffering inside or is sad, 'Traurigkeit' fits.

Nach dem Abschied lag eine stille Traurigkeit über der Familie.
After the farewell, a quiet sadness hung over the family.
Beim Anruf ihrer Tochter hörte man das Glück in ihrer Stimme.
When her daughter called, you could hear the happiness in her voice.