A new moon is a new moon. It is not a full moon. This page is put out by the US Navy. If you scroll down the page to 2008, you will see the dates and exact times of the new moons this year.
http://aa.usno.navy.mil/data/docs/MoonPhase.php
Please notice that the times are Universal Time (also known as Greenwich Mean Time). If you live in eastern standard time in the US, subtract 5 hours from the time shown, if in central standard time, subtract 6 hours, etc.
So if you live in the eastern US, the next new moon would occur on February 6th at 22 hours and 44 minutes (10:44pm). Naturally the military uses military time.
The problem is that during a new moon, the moon will rise near the same time as the sun (in the morning). I did a quick look and on the 6th of February, it will rise around 7:00 am if you live in Eastern standard time. On this page you can make a customized chart of moon rise and set times. Make sure that the year is correct, choose moonrise/moonset, then choose your state, and type in your city. Then click on compute table.
http://aa.usno.navy.mil/data/docs/RS_OneYear.php
Since this chart is based on your exact location, you won't have to compute the difference for UT (aka GMT).
As a general rule, a full moon will rise around sunset and a new moon will rise around dawn. Because of this, I would seriously question the accuracy of the sources of your spell. Just because it's written in a book doesn't mean that it's right. I would love to know where you got a spell that would tell someone that the new moon rises at nightfall. This never, ever happens. The author of your spell has never taken (or understood) the simple science of astronomy.
Even if the author of your spell knows general astrology, he/she should know that during a new moon the moon is conjunct with the sun (traveling +/- 3 degrees) and is usually sharing the same house. This means that it's path is close to the path (and times) of the sun. A full moon is in opposition of the sun and is found on the opposite side of the chart. This means that it's path (and times) are the opposite of the sun's. During a new moon (especially the waning crescent before the exact new moon) in the evening, you may be able to see it in the western sky near sunset right before it sets (near the time of sunset). But it still rises in the east. In the morning hours. If you watch the moonrise, you will notice that it rises "roughly" one hour later every day.