Question

which subshells can have electrons with the indicated magnetic quantum number?

Which subshells (s, p, d, f, or g) can have electrons with the indicated magnetic quantum number (me)? Check all that apply. which subshells can have electrons with the indicated magnetic quantum number?

Answer 1

l has values from 0 to (n-1)

m_l has values from -l .......0......+1

When l = 0 ---> it is s orbital

When l = 1 ---> it is p orbital

When l = 2 ---> it is d orbital

When l = 3 ---> it is f orbital

When l = 4 ---> it is g orbital

Comming to the given problem ,

(1) m_l = 0

    It will occur in any orbit

   Since when we take l=0(s orbital) ---> m_l = 0

                                  l=1(p orbital) ---> m_l = -1,0,+1

                                 l=2(d orbital) ---> m_l = -2,-1,0,+1,+2

                                l=3(f orbital) ---> m_l = -3,-2,-1,0,+1,+2,+3

                               l=4(g orbital) ---> m_l = -4,-3,-2,-1,0,+1,+2,+3,+4

So the answer is s,p,d,f,g

(2) m_l = -3

It will occur in f & g orbit

   Since when we take l=3(f orbital) ---> m_l = -3,-2,-1,0,+1,+2,+3

                             l=4(g orbital) ---> m_l = -4,-3,-2,-1,0,+1,+2,+3,+4

In these two orbitals only -3 appears.

So the answer is f & g

(3) m_l = -1

    It will occur in all orbits except s that is p,d,f,g

   Since when we take l=1(p orbital) ---> m_l = -1,0,+1

                               l=2(d orbital) ---> m_l = -2,-1,0,+1,+2

                               l=3(f orbital) ---> m_l = -3,-2,-1,0,+1,+2,+3

                            l=4(g orbital) ---> m_l = -4,-3,-2,-1,0,+1,+2,+3,+4

So the answer is p,d,f,g

(4)m_l = 4

    It will occur in g orbit only

   Since when we take l=4(g orbital) ---> m_l = -4,-3,-2,-1,0,+1,+2,+3,+4

So the answer g