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 + C3Py + CAP2 + Csdyi-ya + Cgdza Ca Cs V1/6 V1/6 V1/4-1/12 V1/4-V1/12 -V1/4 -1/12 -/1/4-1/12 V173 V1/3 hi VT/2 -/1/2 V1/6 V1/6 V176 V1/6 ha V1/2 -V1/2 ha V1/2 -V1/2 hs 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.

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Chapter1: Chemical Foundations
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Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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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 + C2P, + C3Py + C4P2 + Csdy2-y2 + Cgdz2
C2
C4
Cs
C6
V1/6 1/2
V1/6 -V1/2
V1/6
V1/4-1/12
V1/4-1/12
-V1/4-1/12
-/1/4-V1/12
V1/3
V1/3
hi
ha
V1/2
-V1/2
hy
ha
V1/2
-V1/2
hs
ha
V1/6
(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.
() 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: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 + C2P, + C3Py + C4P2 + Csdy2-y2 + Cgdz2 C2 C4 Cs C6 V1/6 1/2 V1/6 -V1/2 V1/6 V1/4-1/12 V1/4-1/12 -V1/4-1/12 -/1/4-V1/12 V1/3 V1/3 hi ha V1/2 -V1/2 hy ha V1/2 -V1/2 hs ha V1/6 (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. () 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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