It is the "waning crescent" phase.
A half moon refers to both the first quarter and the third quarter moon phase.
Waning cresent
The right half of the moon is illuminated.
Third quarter phase
No. In the third quarter phase, the Moon rises about midnight and is half-illuminated.
Third Quarter
Neap tides are the ones that coincide with the Moon's First Quarter and Third Quarter.
The waining crescent
New moon."New Moon" follows "waning crescent"New Moon
The moon phase "waning gibbous" appears after the moon phase "full moon".It becomes the "last quarter" or "third quarter" when the lighted part is exactly 50%of the side facing the Earth.
A waning cresent.
First Quarter and/or Third Quarter.