Question

The energies of orbital in hydrogen-like species depend on the quantum number(s) :

• A. n
• B. l
• C. m
• D. all of these

Answer 1

Answer: (A)

n

The principal quantum number, n (the energy level)

• determines the size of an orbital (larger n = bigger orbitals)

• largely determines the energy of the orbital (larger n = higher energy)

• can take on integer values n = 1, 2, 3, ...,

• all electrons in an atom with the same value of n are said to belong to the same principle energy level

The azimuthal quantum number, l (the sublevel)

• designates the overall shape of the orbital within a shell

• affects orbital energies (larger = higher energy)

• all electrons in an atom with the same value of are said to belong to the same sublevels

• only integer values between 0 and n-1 are allowed

• sometimes called the orbital angular momentum quantum number

• spectroscopists use the following notation for sublevels

The magnetic quantum number, m (the orbital (box) the electron is in)

• determines the orientation of orbitals within a sublevel.