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In an atom for how many electrons the quantum numbers will be n=3 ,l=2, m= 2 and s= 1/2 Ans is 1 but how?
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In an atom for how many electrons the quantum numbers will be n=3 ,l=2...
**Quantum Numbers and Electron Configuration:**

In order to understand why the answer is 1, we need to review the concept of quantum numbers and electron configuration. Quantum numbers are a set of values that describe the properties of an electron in an atom. They provide information about the energy level, shape, orientation, and spin of the electron.

**Quantum Numbers:**
1. Principal Quantum Number (n): Represents the energy level or shell of the electron.
2. Azimuthal Quantum Number (l): Determines the shape of the orbital and its subshell. It can have values ranging from 0 to (n-1).
3. Magnetic Quantum Number (m): Specifies the orientation of the orbital in space. It can have values ranging from -l to l.
4. Spin Quantum Number (s): Describes the spin of the electron, either +1/2 (spin up) or -1/2 (spin down).

**Given Quantum Numbers:**
For the given atom, the quantum numbers are:
- n = 3 (Principal Quantum Number)
- l = 2 (Azimuthal Quantum Number)
- m = 2 (Magnetic Quantum Number)
- s = 1/2 (Spin Quantum Number)

**Electron Configuration:**
To determine the electron configuration, we need to fill the orbitals according to the Aufbau principle, which states that electrons occupy the lowest energy orbitals first.

The electron configuration for the given quantum numbers would be:
1s² 2s² 2p⁶ 3s² 3p⁶ 3d¹ 4s²

**Analysis:**
The given quantum numbers represent an electron in the 3d orbital. The 3d orbital has a maximum capacity of 10 electrons, as it consists of five d orbitals (each accommodating 2 electrons).

However, the given quantum numbers specify a specific orbital within the 3d subshell (l = 2, m = 2). This means that there is only one electron present in that specific orbital. The remaining four orbitals within the 3d subshell can accommodate a maximum of 8 more electrons.

Therefore, for the given quantum numbers, there is only one electron present in the atom.

**Conclusion:**
The quantum numbers n=3, l=2, m=2, and s=1/2 represent an electron in a specific orbital within the 3d subshell. As there is only one electron occupying that orbital, the answer is 1.
Community Answer
In an atom for how many electrons the quantum numbers will be n=3 ,l=2...
According to pauli exclusion principle no two electrons can have all four quantum number same
so the electrons with given quantum numbers is 1
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In an atom for how many electrons the quantum numbers will be n=3 ,l=2, m= 2 and s= 1/2 Ans is 1 but how?
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