There is no special name for that.
Answer:
The waning crescent moon occurs after the third quarter moon and before the new moon.
The phase of the Moon that occurs when it is three-quarters full just before the full Moon phase is the waxing gibbous phase. This phase occurs as the Moon is waxing, or growing larger, towards the full Moon.
In about 28 days, you would see a new moon phase after observing a waning crescent phase. The new moon occurs when the moon is positioned between the Earth and the Sun, with the side of the moon lit that faces away from Earth.
The next gibbous moon phase occurs when the moon reaches its waxing gibbous phase, which is after the first quarter moon and before the full moon. Typically, this happens around 7-10 days after the new moon.
waxing gibbous
waxing gibbous
waning crescent
A waning gibbous moon typically lasts for about 9-11 days. This phase occurs after the full moon and before the last quarter moon.
The moon phase that occurs just before the new moon is a waning crescent.
The moon phase that occurs after sunset and before sunrise is the waxing crescent. This phase appears as a thin sliver of light on the right side of the moon. It is considered the beginning phase of the lunar cycle.
The waning crescent is the phase of the moon just before a new moon, characterized by a small sliver of visible light on the left side as the illuminated portion decreases. It occurs as the moon moves further away from the full moon phase.
A Lunar eclipse occurs only when the moon is in its full moon phase.
The moon phase on Thursday, December 23, 2010, was a Waning Gibbous. This phase occurs after the Full Moon phase and before the Third Quarter phase, where the illuminated portion of the moon decreases each night.