Question

If n=9, l=7, ml=-6, and ms=-1/2, what is the name of this subshell

Answer 1

The quantum number l describes the subshell. (s, p, d, f, g, h, i, j...)
This is the 9j subshell. I have absolutely no idea what the name of the orbital is. =)

Wikipedia links:
http://en.wikipedia.org/wiki/Electron_shell
http://en.wikipedia.org/wiki/Quantum_number
http://en.wikipedia.org/wiki/Atomic_orbital (This page has some fun animations.)

Answer 2

The subshell is the "j" subshell. That's it.

Answer 3

Quantum numbers are what's "naming" the electron essentially. Each electron has its own set of numbers. No two electrons orbiting an atom can have the same set of numbers according to Pauli's exclusion principle. The different numbers (n, l, ml, ms) are describing things such as energy level, orbital shape, spin, etc. The wiki article sgeos put above (the middle one) does a good job of explaining this.