What is the chord structure of a half diminished 7 and how is it commonly used in jazz music?

A half diminished 7 chord consists of the root, minor third, diminished fifth, and minor seventh. In Jazz Music, this chord is often used as a substitute for a minor 7 chord, adding tension and color to the harmony. It is commonly found in minor key progressions and can create a sense of melancholy or mystery in the music.