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Of the following, the number of species having two and more than two electrons in the antibonding molecular orbital is__ \(\mathrm{He}_{2}, \mathrm{He}_{2}^{+}, \mathrm{B}_{2}, \mathrm{O}_{2}^{-}, \mathrm{N}_{2}^{-}\)

Short Answer

Expert verified
3 species: He鈧, B鈧, O鈧傗伝.

Step by step solution

01

Understand Antibonding Molecular Orbitals

Molecular Orbitals (MOs) are formed by the combination of atomic orbitals. In MO theory, we have bonding and antibonding MOs. Electrons in antibonding MOs weaken the bond between atoms. We need to identify the species with two or more electrons in these orbitals.
02

Analyze Species He鈧

He鈧 has 2 electrons in bonding molecular orbitals and 2 in antibonding orbitals due to its electron configuration of \(( ext{蟽}1s)^2( ext{蟽}1s^*)^2\). Thus, He鈧 has 2 electrons in antibonding orbitals.
03

Analyze Species He鈧傗伜

He鈧傗伜 loses one electron from either a bonding or antibonding orbital. Its configuration is \(( ext{蟽}1s)^2( ext{蟽}1s^*)^1\). Therefore, He鈧傗伜 has 1 electron in the antibonding orbital.
04

Analyze Species B鈧

The electron configuration for B鈧 is \( ( ext{蟽}2s )^2 ( ext{蟽}2s^* )^2 ( ext{蟺}2p_x )^1 ( ext{蟺}2p_y )^1 \). This leaves 2 electrons in the antibonding \( ( ext{蟽}2s^*)^2 \) orbitals as the first 4 electrons fill the bonding orbitals.
05

Analyze Species O鈧傗伝

O鈧傗伝 has the configuration \( ( ext{蟽}2s )^2 ( ext{蟽}2s^* )^2 ( ext{蟽}2p_z )^2 ( ext{蟺}2p_x )^2 ( ext{蟺}2p_y )^2 ( ext{蟺}2p_x^*)^2 ( ext{蟺}2p_y^* )^1 \), resulting in 3 electrons in antibonding orbitals, \( ( ext{蟺}2p_x^*)^2 ( ext{蟺}2p_y^* )^1 \).
06

Analyze Species N鈧傗伝

N鈧傗伝 has one more electron than N鈧, with the additional electron likely filling a \( ext{蟺}^* \) orbital. Its configuration becomes \( ( ext{蟽}2s )^2 ( ext{蟽}2s^* )^2 ( ext{蟽}2p_z )^2 ( ext{蟺}2p_x )^2 ( ext{蟺}2p_y )^2 ( ext{蟺}2p_y^*)^1 \), meaning it has 1 electron in antibonding orbitals.
07

Count Suitable Species

From our analysis, He鈧, B鈧, and O鈧傗伝 each have 2 or more electrons in antibonding molecular orbitals. Thus, there are 3 species meeting the criteria.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Molecular Orbital Theory
Molecular Orbital (MO) Theory is a fundamental principle in chemistry used to understand how atomic orbitals combine to form molecular orbitals in molecules. This theory helps explain the bonding and structure of atoms within a molecule by considering the overlap of atomic orbitals.

The combination of atomic orbitals leads to the formation of two types of orbitals: bonding and antibonding. Bonding molecular orbitals are formed from constructive interference between atomic orbitals, leading to increased electron density between the nuclei. This enhances the bond strength and stability of a molecule.

In contrast, antibonding molecular orbitals arise from destructive interference, reducing electron density between the atomic nuclei and weakening the bond between the atoms. Understanding the distribution of electrons in these orbitals is crucial for determining the stability and reactivity of molecules.
Electrons in Antibonding Orbitals
Electrons that occupy antibonding molecular orbitals play a significant role in the stability of molecules. The presence of these electrons generally diminishes the bond order and, consequently, the bond strength.

When electrons are added to antibonding orbitals, they can destabilize a molecule because these orbitals are higher in energy compared to bonding orbitals. A higher number of electrons in antibonding orbitals relative to bonding orbitals implies a weakened attraction between the atoms, potentially making the molecule less likely to exist under normal conditions.

For example, in the species \(\mathrm{O}_2^-\), the configuration includes three electrons in antibonding orbitals, which affects the molecule's stability. Evaluating how many electrons occupy these orbitals helps in species analysis, particularly when predicting molecular stability and reactivity.
Species Analysis
Analyzing a species based on its electron configuration allows chemists to understand its properties, such as stability and reactivity. The electron configuration reveals how electrons are distributed among the molecular orbitals, giving insights into the bond order and overall energy level.

For instance, in understanding species like \(\mathrm{He}_2\), which contains two electrons in both the bonding and antibonding orbitals, we see a simplified case with no net bonding and thus a molecule that is unlikely to exist under normal conditions.

Contrast this with \(\mathrm{B}_2\), where the presence of two electrons in antibonding orbitals still allows the molecule to have some bonding character due to the other electrons in bonding orbitals. Species analysis helps determine which molecules have more stable electronic configurations, making it a fundamental part of computational chemistry and molecular design.
Bonding Molecular Orbitals
Bonding molecular orbitals are an essential concept within the Molecular Orbital Theory, distinguishing those that contribute positively to the bond's formation between two atoms. When atomic orbitals overlap constructively, bonding molecular orbitals are created, leading to increased electron density between atomic nuclei.

These orbitals are lower in energy than the original atomic orbitals and play a pivotal role in holding the atoms together within a molecule. Bonding molecular orbitals enhance the bond order, calculated as the difference between the number of electrons in bonding and antibonding orbitals divided by two.

For example, in isolating the molecular orbital diagram for \(\mathrm{N}_2\), you can observe a strong triple bond facilitated by the electrons filling bonding orbitals such as \(\pi_{2p}\) orbitals. Recognizing the number and type of bonding orbitals provides insight into the molecule's overall bond strength and stability.

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Most popular questions from this chapter

When two oppositely charged ions approach each other, the ion smaller in size attracts outermost electrons of the other ion and repels its nuclear charge. The electron cloud of anion no longer remains symmetrical but is elongated towards the cation. Due to that, sharing of electrons occur between the two ions to some extent and the bond shows some covalent character. The value of dipole moment can be used for determining the amount of ionic character in a bond. Thus, percentage ionic character = \(\frac{\text { Experimental value of dipole moment }}{\text { Theoretical value of dipole moment }} \times 100\) Which one of the following compounds shows most covalent character? (a) \(\mathrm{MgCl}_{2}\) (b) \(\mathrm{AlCl}_{3}\) (c) \(\mathrm{NaCl}\) (d) All are equally covalent

The correct order of hybridization of the central atom in the following species \(\mathrm{NH}_{3}, \mathrm{PtCl}_{4}-2, \mathrm{PCl}_{5}\) and \(\mathrm{BCl}_{3}\) is (a) \(\mathrm{dsp}^{2}, \mathrm{sp}^{3} \mathrm{~d}, \mathrm{sp}^{2}\) and \(\mathrm{sp}^{3}\) (b) \(\mathrm{sp}^{3}, \mathrm{dsp}^{2}, \mathrm{sp}^{3} \mathrm{~d}, \mathrm{sp}^{2}\) (c) \(\mathrm{dsp}^{2}, \mathrm{sp}^{2}, \mathrm{sp}^{3}, \mathrm{sp}^{3} \mathrm{~d}\) (d) \(\mathrm{dsp}^{2}, \mathrm{sp}^{3}, \mathrm{sp}^{2}, \mathrm{sp}^{3} \mathrm{~d}\)

Which of the following statement is not correct regarding the properties of ionic compounds? (a) ionic compounds have high melting and boiling points (b) their reaction velocity in aqueous medium is very high. (c) ionic compounds in their molten and aqueous solutions do not conduct electricity. (d) they are highly soluble in polar solvents.

Specify the coordination geometry and hybridization of \(\mathrm{N}\) and \(\mathrm{B}\) atoms in a \(1: 1\) complex of \(\mathrm{BF}_{3}\) and \(\mathrm{NH}_{3}\) (a) N: tetrahedral, sp; B: tetrahedral, sp \(^{3}\) (b) N: pyramidal, sp \(^{3} ;\) B: pyramidal, sp \(^{3}\) (c) N: pyramidal, sp \(^{3} ;\) B: planar, sp \(^{2}\) (d) N: pyramidal, sp \(^{3} ;\) B: tetrahedral, sp^{3}

Among the following compounds which contain all 3 type of bonds (i) \(\mathrm{NH}_{4} \mathrm{Cl}\) (ii) \(\mathrm{K}_{3} \mathrm{Fe}(\mathrm{CN})_{6}\) (iii) \(\mathrm{H}_{2} \mathrm{O}_{2}\) (iv) \(\mathrm{H}_{2} \mathrm{SO}_{4}\) (v) \(\mathrm{CaCO}_{3}\) (a) I, II (b) I, II, V (c) I, II, IV (d) I, II, III

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