Write a complete set of quantum numbers for the 5th electron added to H ion..(5th electron in any electron configuration).

n=
l=
m(l)=
m(s)=

Strange question and I'm not sure I understand exactly what you want; however, if we start with H^+ (no electrons), then adding 5 electrons will be 1s2 2s2 2p1

So for the 5th electron,
n = 2
l = 1
ml = -1
ms = 1/2

the answer is correct....thnks

To determine the complete set of quantum numbers for the 5th electron in the H+ ion, we first need to understand the electron configuration of the H+ ion.

The H+ ion is formed when the hydrogen atom loses its only electron. Therefore, the electron configuration of the H+ ion is just 1s^1.

Now, let's assign the quantum numbers for the 5th electron added to the H+ ion:

1. Principal Quantum Number (n):
The principal quantum number indicates the energy level or shell of the electron. In this case, since the electron configuration is 1s^1, the principal quantum number will be n = 1 since the electron is in the first energy level.

n = 1

2. Azimuthal Quantum Number (l):
The azimuthal quantum number determines the sublevel or orbital shape of the electron. For the 1s orbital, l = 0.

l = 0

3. Magnetic Quantum Number (m(l)):
The magnetic quantum number determines the orientation of the orbital in space. For the 1s orbital, there is only one orientation, so m(l) = 0.

m(l) = 0

4. Spin Quantum Number (m(s)):
The spin quantum number indicates the spin state of the electron, either +1/2 (up) or -1/2 (down). In this case, we can assign any value of +1/2 or -1/2 to the 5th electron.

m(s) = +1/2 or -1/2

Therefore, the complete set of quantum numbers for the 5th electron added to the H+ ion is:
n = 1
l = 0
m(l) = 0
m(s) = +1/2 or -1/2

To determine the quantum numbers for the 5th electron added to the H+ ion, we need to understand the principles of electron configuration and the rules governing the filling of electron orbitals.

1. Quantum number n (principal quantum number): This quantum number represents the energy level or shell in which the electron resides. It can take any positive integer value starting from 1.

Since we are considering the 5th electron, it means it would be added to the fifth energy level or shell, so n = 5.

2. Quantum number l (azimuthal quantum number or angular momentum quantum number): This quantum number represents the shape of the orbital. It depends on the value of n and ranges from 0 to (n-1).

Since we have n = 5, the possible values for l would be 0, 1, 2, 3, and 4.

3. Quantum number m(l) (magnetic quantum number): This quantum number represents the orientation of the orbital in space. It depends on the value of l and ranges from -l to +l.

For each value of l, the possible values of m(l) would be (-l, -l+1, ..., 0, ..., l-1, l).

For example, if l = 2, the possible values of m(l) would be -2, -1, 0, 1, and 2.

4. Quantum number m(s) (spin quantum number): This quantum number represents the spin of the electron. It can have two possible values: +1/2 or -1/2, representing the two possible spin orientations of an electron.

As the question does not specify any information regarding the spin orientation, we consider both possibilities. Thus, m(s) could be either +1/2 or -1/2.

So, to summarize:

n = 5
l = 0, 1, 2, 3, 4
m(l) = -l, -l+1, ..., 0, ..., l-1, l (for each value of l)
m(s) = +1/2 or -1/2 (both possibilities)

Note that for the H+ ion (hydrogen ion), there is only one electron, and it does not follow the typical electron configuration pattern.