Respuesta :
Answer : All possible values of 'ml' for the following orbitals are:
(a) At l = 3, [tex]m_l=+3,+2,+1,0,-1,-2,-3[/tex]
(b) l = 0, 1
At l = 0, [tex]m_l=0[/tex]
At l = 1, [tex]m_l=+1,0,-1[/tex]
(c) At l = 1, [tex]m_l=+1,0,-1[/tex]
Explanation:
There are 4 quantum numbers :
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 m_l. The value of this quantum number ranges from [tex](-l\text{ to }+l)[/tex]. When l = 2, the value of [tex]m_l[/tex] will be -2, -1, 0, +1, +2.
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.
(a) l = 3 then the value of 'ml' is,
At l = 3, [tex]m_l=+3,+2,+1,0,-1,-2,-3[/tex]
(b) n = 2 then the value of 'ml' is,
l = 0, 1
At l = 0, [tex]m_l=0[/tex]
At l = 1, [tex]m_l=+1,0,-1[/tex]
(c) n = 6 and l = 1 then the value of 'ml' is,
n = 6
l = 0, 1, 2, 3, 4, 5
At l = 1, [tex]m_l=+1,0,-1[/tex]
The orbital refers to a region in space where there is a high probability of finding an electron.
What are orbitals?
The term orbital refers to a region in space where there is a high probability of finding an electron. Within each energy level, there are orbitals.
Let us consider each of the levels shown;
(a) l = 3
The ml values for this orbital are; -3, -2, -1, 0, 1, 2, 3
(b) n = 2
The ml values for this orbital are; -1, 0, 1
(c) n = 6, l = 1
The ml values for this orbital are; -1, 0, 1
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