This is the principal quantum number, n.
Azimuthal quantum number
The angular momentum number shows the shape of the electron cloud or the orbital. The magnetic quantum number, on the other hand, determines the number of orbitals and their orientation within a subshell.
The shape of the electron cloud is determined by the secondary quantum number. The first is n, or the energy level, the second is the sublevel, the third is the specific cloud, and the fourth is the spin.
The quantum number that indicactes the shape of an orbital in called the angular momentum quantum number.
The type of orbital the electron is in.
Azimuthal quantum number
In the electron configuration of aluminum, the 3p1 electron corresponds to the 3rd energy level (n=3) and is in the p subshell. The second quantum number, also known as the azimuthal quantum number (l), for a p subshell is 1. Therefore, the second quantum number of the 3p1 electron in aluminum is l = 1.
The angular momentum number shows the shape of the electron cloud or the orbital. The magnetic quantum number, on the other hand, determines the number of orbitals and their orientation within a subshell.
The shape of the electron cloud is determined by the secondary quantum number. The first is n, or the energy level, the second is the sublevel, the third is the specific cloud, and the fourth is the spin.
The quantum number that indicactes the shape of an orbital in called the angular momentum quantum number.
The type of orbital the electron is in.
The third quantum number, also known as the magnetic quantum number (m_l), describes the orientation of the orbital. For a 3s electron, which is in the s subshell, the possible values of m_l are 0 (since s orbitals have a spherical symmetry). Therefore, the third quantum number for a 3s² electron in phosphorus is m_l = 0.
The specific orbital the electron is in
The second quantum number refers to the azimuthal quantum number, also known as the angular momentum quantum number. For an electron in the 1s orbital of phosphorus (1s2), the azimuthal quantum number is 0, which corresponds to an s orbital. Therefore, for a 1s2 electron in phosphorus, the second quantum number would be 0.
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 principal quantum number (n = 1, 2, 3, 4, …) denotes the eigenvalue of Hamiltonian (H), i.e. the energy, with the contribution due to angular momentum (the term involving J2) left out. This number therefore has a dependence only on the distance between the electron and the nucleus (i.e., the radial coordinate, r). The average distance increases with n, and hence quantum states with different principal quantum numbers are said to belong to different shells.The azimuthal quantum number (ℓ = 0, 1, …, n − 1) (also known as the angular quantum number or orbital quantum number) gives the orbital angular momentum through the relationL2 = ħ2 ℓ (ℓ + 1). In chemistry, this quantum number is very important, since it specifies the shape of an atomic orbital and strongly influences chemical bonds and bond angles. In some contexts, "ℓ= 0" is called an s orbital, "ℓ = 1" a p orbital, "ℓ = 2" a d orbital, and "ℓ = 3" an f orbital.The magnetic quantum number (ml = −ℓ, −ℓ + 1, …, 0, …, ℓ − 1, ℓ) yields the projection of the orbital angular momentum along a specified axis. Lz = mℓħ.The spin projection quantum number (ms = ±½), is the intrinsic angular momentum of the electron or nucleon. This is the projection of the spin s = ½ along the specified axis.
The principal quantum number n = 3 and the azimuthal or orbital angular momentum quantum number would be l =1 .l = 1