No two electrons in an atom can have the same set of quantum numbers. This is known as:
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Pauli's exclusion principle is fundamental in determining the electron configuration in atoms. It ensures that each electron in an atom has a unique quantum state.
The Pauli's exclusion principle states that no two electrons in an atom can have the same set of quantum numbers. This principle is crucial in explaining the electron configuration of atoms and the arrangement of electrons in orbitals.
Step 1: Understanding quantum numbers.
Each electron in an atom is described by a set of four quantum numbers:
1. Principal quantum number (\(n\)) - defines the energy level.
2. Azimuthal quantum number (\(l\)) - defines the orbital shape.
3. Magnetic quantum number (\(m_l\)) - defines the orientation of the orbital.
4. Spin quantum number (\(m_s\)) - defines the electron's spin direction.
Step 2: Applying the exclusion principle.
The Pauli exclusion principle asserts that no two electrons in an atom can have the same set of these four quantum numbers. This means that every electron in an atom has a unique set of quantum numbers.
Step 3: Conclusion.
Therefore, the correct answer is (B) Pauli's exclusion principle.