4s: n l ml ms
4s 4 3 0 1/2
4s 4 3 0 -1/2
3d: n l ml ms
3d 3 2 -2 1/2
3d 3 2 -2 -1/2
3d 3 2 -1 1/2
3d 3 2 -1 -1/2
3d 3 2 0 1/2
3d 3 2 0 -1/2
3d 3 2 1 1/2
3d 3 2 1 -1/2
3d 3 2 2 1/2
3d 3 2 2 -1/2
There can be two electrons with those quantum numbers in an atom. Each electron is completely described by four quantum numbers. The one that's missing in the list provided is ms, which can have only two possible values (+1/2 and -1/2).
Ti: 1s22s22p63s23p64s25d2 . It has a total of 22 electrons occupying these orbitals of these quantum numbers.
You did not give any numbers
How are electrons arranged in the quantum mechanical model of an atom
Yes. Always. Otherwise they would break the fundamental rules of quantum mechanics, which say that no two electrons can have the same four quantum numbers -- and spin is the 4th quantum number. If two e- are in the same orbital, they share 3 quantum numbers, but the spin quantum number must then be different.
Electrons are generally gathered around an atom beginning with the lowest possible quantum numbers.
There can be two electrons with those quantum numbers in an atom. Each electron is completely described by four quantum numbers. The one that's missing in the list provided is ms, which can have only two possible values (+1/2 and -1/2).
The energy levels and orbitals the electrons are in
Ti: 1s22s22p63s23p64s25d2 . It has a total of 22 electrons occupying these orbitals of these quantum numbers.
You did not give any numbers
How are electrons arranged in the quantum mechanical model of an atom
Four quantum numbers are used to describe electrons in atoms.
In theory, the number of electrons with each quantum number is not limited. However, for any given "main quantum number" (n), the number of electrons having the other quantum numbers is limited - but it depends on the value of "n". For more information, the Wikipedia article on "quantum number" seems to give a good overview.
There are seven different possible magnetic quantum numbers or seven orbitals. In that cause the maximum number of electrons an f orbital will hold would be fourteen.
f orbital corresponds to n=4. l = n-1 = 3. The magnetic quantum numbers run from -l to l, or -3, -2,... 3. Thus there are seven possible magnetic quantum numbers, or seven orbitals. Since each orbital has 2 electrons max, an f orbital can hold 14 electrons.
n = 1 l = 0 m = 0 s = +1/2 and s = -1/2
These are: principal quantum number (n), azimutal quantum number (ł), magnetic quantum number (m), spin quantum number (sd).