can you solve D, E and F 1. The sp'd hybrid orbitals are linear combinations of six standard atomic orbitals. The general expression is given below where the orbital coefficients are listed in the table for the six hybrid orbitals. h = c,s + c2Px + C3P, + C4P2 + Cgd,2-y2 + Cgdz2 C1 C2 C3 C4 C5 C6 V1/6 V1/2 V1/6 V1/4 -V1/2 V1/6 V1/6 V1/6 V1/6 -/1/12 -V1/12 -/1/4 -/1/12 /1/4 h2 V1/4 h3 V1/2 -V1/12 V1/3 /1/3 ha -/1/2 V1/2 -/1/2 hs hs (a) For what molecular geometry are sp'd hybrid appropriate? (b) What are the ideal bond angles for the geometry in (a)? (c) Which of the hybrid orbitals are used for bonding in the xy-plane? Think about which standard orbitals are used. (d) Which of the hybrid orbitals are used for bonding along the z-axis? Think about which standard orbitals are used. (e) Compute the relative proportions of p-orbitals to s-orbital in each hybrid orbital*. (f) Compute the relative proportions of d-orbitals to s-orbital in each hybrid orbital*. o o

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D, E and F
1. The sp'd? hybrid orbitals are linear combinations of six standard atomic orbitals. The general
expression is given below where the orbital coefficients are listed in the table for the six hybrid
orbitals.
h = c,s + c2Px + C3P, + C4P2 + C5d,2-y² + Cgdz2
C1
C2
C3
C4
C5
V1/6 V1/2
V1/6 -/1/2
V1/6
V1/6
V1/6
V1/6
V1/4
V1/4
hi
-/1/12
-/1/12
-/1/4 -V1/12
-/1/4 -/1/12
V1/3
V1/3
h2
V1/2
-/1/2
V1/2
-V1/2
h3
h4
h5
he
(a) For what molecular geometry are sp°d hybrid appropriate?
(b) What are the ideal bond angles for the geometry in (a)?
(c) Which of the hybrid orbitals are used for bonding in the xy-plane? Think about which standard orbitals
are used.
(d) Which of the hybrid orbitals are used for bonding along the z-axis? Think about which standard
orbitals are used.
(e) Compute the relative proportions of p-orbitals to s-orbital in each hybrid orbital*.
(f) Compute the relative proportions of d-orbitals to s-orbital in each hybrid orbital*.
* See the lectures and page 396 to see how to determine this using the coefficients in the table.
Transcribed Image Text:can you solve D, E and F 1. The sp'd? hybrid orbitals are linear combinations of six standard atomic orbitals. The general expression is given below where the orbital coefficients are listed in the table for the six hybrid orbitals. h = c,s + c2Px + C3P, + C4P2 + C5d,2-y² + Cgdz2 C1 C2 C3 C4 C5 V1/6 V1/2 V1/6 -/1/2 V1/6 V1/6 V1/6 V1/6 V1/4 V1/4 hi -/1/12 -/1/12 -/1/4 -V1/12 -/1/4 -/1/12 V1/3 V1/3 h2 V1/2 -/1/2 V1/2 -V1/2 h3 h4 h5 he (a) For what molecular geometry are sp°d hybrid appropriate? (b) What are the ideal bond angles for the geometry in (a)? (c) Which of the hybrid orbitals are used for bonding in the xy-plane? Think about which standard orbitals are used. (d) Which of the hybrid orbitals are used for bonding along the z-axis? Think about which standard orbitals are used. (e) Compute the relative proportions of p-orbitals to s-orbital in each hybrid orbital*. (f) Compute the relative proportions of d-orbitals to s-orbital in each hybrid orbital*. * See the lectures and page 396 to see how to determine this using the coefficients in the table.
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