The magnetic quantum number, ml, runs from -l to +l (sorry this font is rubbish the letter l looks like a 1) where l is the azimuthal, angular momentum quantum number.
The magnetic quantum number ml depends on the orbital angular momentum (azimuthal) quantum number, l, which in turn depends on the principal quantum number, n.
The orbital angular momentum (azimuthal) quantum number, l, runs from 0 to (n-1) where n is the principal quantum number. l= 0 is an s orbital, l= 1 is a p subshell, l= 2 is a d subshell, l=3 is an f subshell.
The magnetic quantum number, ml, runs from -l to +l (sorry this font is rubbish the letter l looks like a 1). ml "defines " the shape of the orbital and the number within the subshell.
As an example for a d orbital (l=2), the values are -2, -1, 0, +1, +2, , so 5 d orbitals in total.
The names of the quantum numbers are:
Principal Quantum number (n)
Angular Momentum Quantum Number (l)
Magnetic Quantum Number (m)
Spin Quantum Number (+1/2 and -1/2)
The "n" gives the energy level of the electron then the "l" which is the sublevel then "m" which tells you which orbital it is in and last "s" which tells you if the electron is going to have a positive or negative 1/2 spin
There are 4 quantum numbers, n, l, ml, ms
They have long names respectively principal, azimuthal (angular momentum), magnetic and spin.
n can have values 0, 1, 2, 3, 4, 5......
l depends on n, and can have values, 0 to (n-1) (0 is an s orbital, 1 is a p subshell, 2 is a d subshell, 3 is a f subshell etc
ml can have -l to +l (sorry this font is rubbish the letter l looks like a 1) so for a d subshell, where l = 2, it can be -2, -1, 0, +1, +2. Five d orbitals in all.
ms can be -1/2 or +1/2 (These are the maximum of 2 electrons having opposite spin)
1. Principle Quantum Number (n)- Distance from the nucleus
For example, when you do the ground state configuration: 1s2 2s2 2p6
The first number (1,2,2) represents the distance from the nucleus
2. Orbital Quantum Number (l)- Shape of the orbital
s-0 p-1 d-2 f-3
3. Magnetic Quantum Number (m)- Indicates a particular suborbital; orientation of the orbital in space
For example, the p shells have 3 orbitals. The first is -1, the second is
0, and the third is 1
4. Spin Quantum Number (s)- Spin of the electron; clockwise or counterclockwise (1/2 or -1/2)
If it is the first electron in the suborbital, it is +1/2 if it is the second,
it is -1/2
Theoretically, n can be any integer greater than 0
n= 1, 2, 3, 4,....
However, in the ground staes of the elements it is between 1 and 7.
"n" is the principal quantum number, which indicates the shell an electron occupies. A higher shell number means that an electron is further away from the nucleus, and therefore has greater energy. Because atoms can only get so large before breaking apart, the "n" number is limited to about 7 for the largest known atoms.
To determine what n is for a particular electron in an atom, you need to understand the electron configuration of atoms. You may be familiar with something like this:
1s22s22p63s23p64s23d104p6....
This is one way to show the electron configuration of an atom. The large numbers are the shell numbers, the letters indicate the sub-shell, and the superscript numbers show how many electrons are in that particular sub-shell of that particular shell. The shell number is equal to the principal quantum number (n).
For instance, the outermost electron in a Lithium atom (with three total electrons) would be in Shell #2, because the first two electrons filled up Shell #1. Therefore, the principal quantum number for the outermost electron in a Lithium atom is n=2.
If you've never learned or have forgotten electron configuration, you need to review it before trying to find n for a particular electron.
Hope this helps!
The possible values for the magnetic quantum number (m1) for 8s electrons range from -0 to 0, which means there is only one possible orientation in space. The m1 quantum number specifies the orientation of the electron's magnetic moment in an external magnetic field.
The third quantum number is the magnetic quantum number, which describes the orientation of the orbital in space. For a 2p orbital, the possible values of the magnetic quantum number range from -1 to 1, representing the three different orientations of the p orbital in space. In the case of 2p3, the magnetic quantum number is 1.
The spin quantum number can have two possible values: +1/2 or -1/2.
The magnetic quantum number ml depends on the orbital angular momentum (azimuthal) quantum number, l, which in turn depends on the principal quantum number, n. The orbital angular momentum (azimuthal) quantum number, l, runs from 0 to (n-1) where n is the principal quantum number. l= 0 is an s orbital, l= 1 is a p subshell, l= 2 is a d subshell, l=3 is an f subshell. The magnetic quantum number, ml, runs from -l to +l (sorry this font is rubbish the letter l looks like a 1) so for an f orbital the values are -3. -2, -1, 0, +1, +2, +3, so 7 f orbitals in total. ml "defines " the shape of the orbital and the number within the subshell.
Possible values of quantum numbers in order of n,l,m,s in the second shell:2,0,0,-1/22,0,0,+1/22,1,-1,-1/22,1,-1,+1/22,1,0,-1/22,1,0,+1/22,1,1,-1/22,1,1,+1/2
The possible values for the magnetic quantum number (m1) for 8s electrons range from -0 to 0, which means there is only one possible orientation in space. The m1 quantum number specifies the orientation of the electron's magnetic moment in an external magnetic field.
ms = -1/2
The third quantum number is the magnetic quantum number, which describes the orientation of the orbital in space. For a 2p orbital, the possible values of the magnetic quantum number range from -1 to 1, representing the three different orientations of the p orbital in space. In the case of 2p3, the magnetic quantum number is 1.
The number of orbitals in a given subshell, such as the 5d subshell, is determined by the number of possible values of the magnetic quantum number. Each orbital in a subshell is designated by a unique set of quantum numbers, including the magnetic quantum number that specifies the orientation of the orbital in space. In the case of the d subshell, there are five possible values for the magnetic quantum number (-2, -1, 0, 1, 2), so there are five orbitals in the 5d subshell.
The third quantum number is the magnetic quantum number, also known as the quantum number that specifies the orientation of an orbital in space. For a 3s orbital, the possible values of the magnetic quantum number range from -l to +l, where l is the azimuthal quantum number, which is 0 for an s orbital. Therefore, the third quantum number for a 3s2 electron in phosphorus is 0.
The magnetic quantum number can have integer values ranging from -β to +β, where β is the azimuthal quantum number. So the value of the magnetic quantum number would depend on the specific value of the azimuthal quantum number provided to you.
The quantum numbers for Br (Bromine) are: Principal quantum number (n): Can have values 1 to infinity Azimuthal quantum number (l): Can have values 0 to (n-1) Magnetic quantum number (m): Can have values -l to +l Spin quantum number (s): Can have values +1/2 or -1/2
m(I)=0 (apex)
ml = -1
For a principle quantum number 3, there are three possible sub-shells. These are 3s, 3p, 3d. Azimuthal quantum no. is less than principle quantum number. There for 3s it is 0, for 3p it is 1, for 3d it is 2.
The spin quantum number can have two possible values: +1/2 or -1/2.
The values of the magnetic quantum number depend on the value of the azimuthal quantum number (orbital angular momentum quantum number) and has values -l, .. 0 . ..+l l=1, p orbital, -1, 0, +1 - three p orbitals l=2 d orbital -2, -1, 0., +1,+2 five d orbitals etc.