Sketch the px and dxz orbitals. Be sure to show and label the coordinates. Consi
ID: 508335 • Letter: S
Question
Sketch the px and dxz orbitals. Be sure to show and label the coordinates. Consider the orbitals shown here in outline. (a) What is the maximum number of electrons contained in an orbital of type (x)? Of type (y)? Of type (z)? (b) How many orbitals of type (x) are found in a shell with n = 2? How many of type (y)? How many of type (z)? (c) Write a set of quantum numbers for an electron in an orbital of type (x) in a shell with n = 4. Of an orbital of type (y) in a shell with n = 2. Of an orbital of type (z) in a shell with n = 3. (d) What is the smallest possible n value for an orbital of type (x)? Of type (y)? Of type (z)? (e) What are the possible I and ml values for an orbital of type (x)? Of type (y)? Of type (z)?Explanation / Answer
a) maximum no of electrons contained in in an orbital of type (x) =2, type (y) =2, type (z) =2[ for any orbital maximum electrons contained are 2 only].
b) with n=2, no of orbitals of type (x) =1 [2s], type(y) = 3 [2px,ppy,2pz] , type (z) = 0 [ no d orbitals in n=2]
c) when n=4 for type (x) it is 4s orbital. the quantum numbers are n=4, l=0, ml=0,ms=+1/2 or -1/2
when n=2 for type (y) it is 2p orbital, the quantum numbers for it are n=2, l=1, ml=-1 or 0 or +1[ as it is not specified whether it is px or py or pz], ms==1/2 or-1/2
when n=3 for type(z) it is 3d orbital, the quantum numbers for it are n=3, l=2, ml=-2 or -1 or 0 or +1 or +2[ as it is not specified whether it is dxy or dxz or dyz or dx2-y2 or dz2] ,ms=+1/2 or -1/2
d)the smallest possible n value for type (x) = 1 [since it is 's' orbital], that of type (y) =2 {since it is 'p' orbital], that of type(z) =3[since it is 'd ' orbital].
e) possible l values for type(x) =0, ml values =0.{s orbital}
type (y) possible l values=1, ml =-l t0 +l i.e., -1,0,+1[p orbital]
type (z) possible l=2, ml=-l to +l i.e.,-2,-1,0,+1,+2[d orbital]
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