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(a) What is the difference between hybrid orbitals and molecular orbitals? (b) How many electrons can be placed into each MO of a molecule? (c) Can antibonding molecular orbitals have electrons in them?

Short Answer

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(a) Hybrid orbitals are formed by the combination of atomic orbitals within the same atom, while molecular orbitals result from the combination or overlapping of atomic orbitals from different atoms in a molecule. (b) Each molecular orbital can accommodate up to 2 electrons, with opposite spins. (c) Yes, antibonding molecular orbitals can have electrons in them, but they weaken the bond between atoms or contribute to repulsion and reduce the stability of the molecule.

Step by step solution

01

(a) Difference between Hybrid Orbitals and Molecular Orbitals

Hybrid orbitals are formed by the combination of atomic orbitals within the same atom, resulting in a new set of equivalent orbitals with specific geometries. These hybrid orbitals help to explain the observed molecular shapes and bond angles in molecules. An example of hybrid orbital formation is the combination of 2s and three 2p orbitals in carbon to form four equivalent sp^3 hybrid orbitals. Molecular orbitals, on the other hand, result from the combination or overlapping of atomic orbitals from different atoms in a molecule. The number of molecular orbitals formed is equal to the number of atomic orbitals that are combined. There are two types of molecular orbitals: bonding molecular orbitals (formed by constructive interference of atomic orbitals) and antibonding molecular orbitals (formed by destructive interference of atomic orbitals).
02

(b) Electron Placement in Molecular Orbitals

According to molecular orbital theory, each molecular orbital can accommodate up to 2 electrons, with opposite spins (spin-up and spin-down). This principle is the same as the one that governs the placement of electrons in atomic orbitals.
03

(c) Antibonding Molecular Orbitals

Yes, antibonding molecular orbitals can have electrons in them. However, it is important to note that when electrons occupy an antibonding molecular orbital, they weaken the bond between atoms or even contribute to repulsion. The presence of electrons in the antibonding molecular orbital increases the overall energy of the molecule and reduces its stability. In general, if there are more electrons in bonding molecular orbitals than in antibonding molecular orbitals, the atoms will be bound together in a stable molecule, but if the antibonding molecular orbitals dominate, it is less likely that a stable molecule will form.

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Most popular questions from this chapter

(a) What does the term paramagnetism mean? (b) How can one determine experimentally whether a substance is paramagnetic? (c) Which of the following ions would you expect to be paramagnetic: \(\mathrm{O}_{2}^{+}, \mathrm{N}_{2}^{2-}, \mathrm{Li}_{2}^{+}, \mathrm{O}_{2}{ }^{2-}\) ? For those ions that are paramagnetic, determine the number of unpaired electrons.

The cyclopentadienide ion has the formula \(\mathrm{C}_{5} \mathrm{H}_{5}^{-}\). The ion consists of a regular pentagon of \(\mathrm{C}\) atoms, each bonded to two \(\mathrm{C}\) neighbors, with a hydrogen atom bonded to each \(\mathrm{C}\) atom. All the atoms lie in the same plane. (a) Draw a Lewis structure for the ion. According to your structure, do all five \(\mathrm{C}\) atoms have the same hybridization? Explain. (b) Chemists generally view this ion as having \(s p^{2}\) hybridization at each \(C\) atom. Is that view consistent with your answer to part (a)? (c) Your Lewis structure should show one nonbonding pair of electrons. Under the assumption of part (b), in what type of orbital must this nonbonding pair reside? (d) Are there resonance structures equivalent to the Lewis structure you drew in part (a)? If so, how many? (e) The ion is often drawn as a pentagon enclosing a circle. Is this representation consistent with your answer to part (d)? Explain. (f) Both benzene and the cyclopentadienide ion are often described as systems containing six \(\pi\) electrons. What do you think is meant by this description?

(a) The \(\mathrm{PH}_{3}\) molecule is polar. How does this offer experimental proof that the molecule cannot be planar? (b) It turns out that ozone, \(\mathrm{O}_{3}\), has a small dipole moment. How is this possible, given that all the atoms are the same?

The lactic acid molecule, \(\mathrm{CH}_{3} \mathrm{CH}(\mathrm{OH}) \mathrm{COOH}\), gives sour milk its unpleasant, sour taste. (a) Draw the Lewis structure for the molecule, assuming that carbon always forms four bonds in its stable compounds. (b) How many \(\pi\) and how many \(\sigma\) bonds are in the molecule? (c) Which CO bond is shortest in the molecule? (d) What is the hybridization of atomic orbitals around each carbon atom associated with that short bond? (e) What are the approximate bond angles around each carbon atom in the molecule?

(a) What does the term diamagnetism mean? (b) How does a diamagnetic substance respond to a magnetic field? (c) Which of the following ions would you expect to be diamagnetic: \(\mathrm{N}_{2}{ }^{2-}, \mathrm{O}_{2}^{2-}, \mathrm{Be}_{2}{ }^{2+}, \mathrm{C}_{2}^{-}\) ?

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