Respuesta :
Answer : All possible sets of quantum numbers for 5d orbital are:
n = 5, l = 2 and [tex]m_l=-2,-1,0,+1,+2[/tex]
Explanation :
Principle Quantum Numbers : It describes the size of the orbital. It is represented by n. n = 1,2,3,4....
Azimuthal Quantum Number : It describes the shape of the orbital. It is represented as 'l'. The value of l ranges from 0 to (n-1). For l = 0,1,2,3... the orbitals are s, p, d, f...
Magnetic Quantum Number : It describes the orientation of the orbitals. It is represented as [tex]m_l[/tex]. The value of this quantum number ranges from [tex](-l\text{ to }+l)[/tex]. When l = 2, the value of
Spin Quantum number : It describes the direction of electron spin. This is represented as [tex]m_s[/tex]. The value of this is [tex]+\frac{1}{2}[/tex] for upward spin and [tex]-\frac{1}{2}[/tex] for downward spin.
Now we have to determine the all possible sets of quantum numbers for 5d orbital.
For 5d :
n = 5 (Because it is in 3rd shell)
l = 2 (Because it is in 'd' orbital)
[tex]m_l=-2,-1,0,+1,+2[/tex] (Because l = 2)
