Electrons cannot have the same set of quantum numbers as another electron in the same atom due to the Pauli exclusion principle. This means that no two electrons can have identical values for the principal quantum number (n), azimuthal quantum number (l), magnetic quantum number (m_l), and spin quantum number (m_s) simultaneously. For example, if one electron has the quantum numbers n=2, l=1, m_l=0, and m_s=+1/2, no other electron in the same atom can have those exact same values.
The third quantum number, known as the magnetic quantum number (m_l), describes the orientation of the orbital. For a 3s electron, the principal quantum number (n) is 3, and the azimuthal quantum number (l) for an s orbital is 0. Therefore, the magnetic quantum number for a 3s electron is m_l = 0.
Azimuthal quantum number
The third quantum number, known as the magnetic quantum number (m_l), describes the orientation of the orbital in which the electron resides. For the 2s orbital, which is spherical, the magnetic quantum number can only be 0. Therefore, for the 2s¹ electron in aluminum, the third quantum number (m_l) is 0.
The first quantum number, also known as the principal quantum number (n), indicates the energy level of an electron in an atom. For a 2s electron in phosphorus, which has an electron configuration of 1s² 2s² 2p⁶ 3s² 3p³, the principal quantum number is 2. This indicates that the electron is located in the second energy level.
The principle quantum number of a hydrogen electron in its ground state is 1.
The first quantum number of a 2s electron in phosphorus is the principal quantum number, which specifies the energy level of the electron shell. For a 2s electron, the principal quantum number is 2.
n = 2
The third quantum number, known as the magnetic quantum number (m_l), describes the orientation of the orbital. For a 3s electron, the principal quantum number (n) is 3, and the azimuthal quantum number (l) for an s orbital is 0. Therefore, the magnetic quantum number for a 3s electron is m_l = 0.
The first quantum number is the principal quantum number (n), which indicates the main energy level of an electron. For a 2s electron in phosphorus (atomic number 15), the first quantum number is 2.
Azimuthal quantum number
The third quantum number, known as the magnetic quantum number (m_l), describes the orientation of the orbital in which the electron resides. For the 2s orbital, which is spherical, the magnetic quantum number can only be 0. Therefore, for the 2s¹ electron in aluminum, the third quantum number (m_l) is 0.
mi=0
ms= +1/2
The first quantum number, also known as the principal quantum number (n), indicates the energy level of an electron in an atom. For a 2s electron in phosphorus, which has an electron configuration of 1s² 2s² 2p⁶ 3s² 3p³, the principal quantum number is 2. This indicates that the electron is located in the second energy level.
Ms = + 1/2
34 azimuthal quantum number
n=3