Question

1. List the four quantum numbers that define the energy state of the electrons in a hydrogen atom along with their possible values and explain their significance in terms of orbitals.​

Answer 1

The set of numbers used to describe the position and energy of the electron in an atom are called quantum numbers. There are four quantum numbers, namely, principal, azimuthal, magnetic and spin quantum numbers. ... Orbital angular momentum quantum number (or azimuthal quantum number), denoted by l.

• Principal quantum number, n: Electron shell, n ≥ 1

• Azimuthal quantum number, l: Subshells (s=0, p=1, etc.), (n-1) ≥ l ≥ 0

• Name and Symbol: Meaning and Possible Values

Answer 2

Explanation:

To completely describe an electron in an atom, four quantum numbers are needed: energy (n), angular momentum (ℓ), magnetic moment (mℓ), and spin (ms).

1. The first quantum number describes the electron shell, or energy level, of an atom.
2. The second quantum number, known as the angular or orbital quantum number, describes the subshell and gives the magnitude of the orbital angular momentum through the relation
3. The third quantum number describes the Orientation in Three Dimensional Space.
4. The fourth quantum number describes the spin (intrinsic angular momentum) of the electron within that orbital and gives the projection of the spin angular momentum (s) along the specified axis.

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