sigma-bond-example

Valence Bond Theory (VBT) – History, Uses, & Limitation

Overview

Valance Bond theory describes chemical bonding in determining the shapes of molecules.

  • It states that when half-filled orbitals of two atoms overlap, the electrons paired up as a result of this overlap.
  • Thus, a covalent bond is formed. The bond strength depends on the overlapping of orbitals.
  • Larger the overlap, the more powerful the bond is.
  • VBT discusses the two types of overlapping orbitals. Sigma and pi.
  • Sigma bond forms when orbitals overlap in the internuclear axis.
  • Pi bond formation takes place when there is overlap of two unhybridized p – orbitals. A single bond contains one sigma bond, double bonds have one sigma and one pi while triple covalent bond consists of one sigma and two pi bonds.
Valence Bond Theory (VBT)

VSERP theory predicts and discusses the shapes of molecules however does not provide factors for the formation of bonds. VBT is concerned with both the formation of bonds and the shapes of molecules. This approach of describing a covalent bond considers the molecule as a combination of atoms.

According to the quantum mechanical technique, a covalent bond is formed when half-filled orbitals in the outer or valence shells of 2 atoms overlap, so that a pair of electrons, one electron from each atom, inhabits the overlapped orbital. As a result of this overlap, the electrons with opposite whirls ended up being paired to support themselves.

The larger the overlap, the more powerful is the bond. The essential condition for chemical bonding is that the orbitals of atoms taking part in bond formation should overlap and the direction of the bond is figured out by the directions of the two overlapping orbitals.

History of Valence Bond Theory

Valence bond theory draws from Lewis structures. G.N. Lewis proposed these structures in 1916, based upon the idea that two shared bonding electrons formed chemical bonds. Quantum mechanics was applied to explain bonding properties in the Heitler-London theory of 1927.

This theory explained chemical bond formation in between hydrogen atoms in the H2 molecule using Schrödinger’s wave equation to merge the wavefunctions of the two hydrogen atoms. In 1928, Linus Pauling integrated Lewis’s pair-bonding idea with the Heitler-London theory to propose valence bond theory.

Valence bond theory was developed to describe resonance and orbital hybridization. In 1931, Pauling published a paper on valence bond theory entitled, “On the Nature of the Chemical Bond.” The first computer system programs utilized to describe chemical bonding utilized molecular orbital theory, but since the 1980s, principles of valence bond theory have actually become programmable.

Today, the modern versions of these theories are competitive with each other in terms of accurately explaining genuine behavior.

Sigma (σ) and Pi (π) Bonds

There are 2 types of overlapping orbitals: sigma (σ) and pi (π). Both bonds are formed from the overlap of 2 orbitals, one on each atom. σ bonds happen when orbitals overlap in between the nuclei of two atoms, likewise known as the internuclear axis. π bonds take place when 2 (unhybridized) p-orbitals overlap.

The p-orbitals, in one π bond, lie above and below the nuclei of the atoms. By inhabiting the area of space that is above, listed below, and on the sides of an atom’s nuclei, two π bonds can form.

sigma-bond

Sigma bond

sigma-bond-2

 

Both types of overlapping orbitals can be related to bond order. Single bonds have one sigma bond. Double bonds consist of one σ and one π bond, while triple bonds consist of one σ and 2 π bonds.

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Examples of Sigma (σ) and Pi bonds (π)

An example of Sigma bonds would be the simple C-H bond or C-X bond, while examples of pi bonds would be C =O and C ≡ N, where the first bond is a sigma bond, and the second/third bond are pi bonds.

sigma-bond-example

Postulates of Valence Bond Theory

The essential postulates of the valence bond theory are listed below.

  • Covalent bonds are formed when 2 valence orbitals (half-filled) coming from two different atoms overlap each other. The electron density in the location between the two bonding atoms increases as a result of this overlapping, consequently increasing the stability of the resulting molecule.
  • The presence of lots of unpaired electrons in the valence shell of an atom enables it to form multiple bonds with other atoms. The paired electrons present in the valence shell do not take part in the formation of chemical bonds according to the valence bond theory.
  • Covalent chemical bonds are directional and are also parallel to the area corresponding to the atomic orbitals that are overlapping.
  • Sigma bonds and pi bonds differ in the pattern that the atomic orbitals overlap in, i.e. pi bonds are formed from sidewise overlapping whereas the overlapping along the axis containing the nuclei of the two atoms causes the development of sigma bonds.
Uses of VBT

Valence bond theory can often explain how covalent bonds form. The diatomic fluorine molecule, F2, is an example. Fluorine atoms form single covalent bonds with each other. The F-F bond arises from overlapping pz orbitals, which each consist of a single unpaired electron.

A similar situation takes place in hydrogen, H2, but the bond lengths and strength are various between H2 and F2 particles. A covalent bond forms in between hydrogen and fluorine in hydrofluoric acid, HF.

This bond forms from the overlap of the hydrogen orbital and the fluorine 2 p z orbital, which each have an unpaired electron. In HF, both the hydrogen and fluorine atoms share these electrons in a covalent bond.

P-orbital

Limitations of VBT

The imperfections of the valence bond theory consist of:

  • Failure to describe the tetravalency exhibited by carbon.
  • No insight provided on the energies of the electrons.
  • The theory presumes that electrons are localized in specific locations.
  • It does not give a quantitative interpretation of the thermodynamic or kinetic stabilities of coordination substances.
Number of Orbitals and Types of Hybridization

According to VBT theory, the metal atom or ion under the influence of ligands can utilize its (n-1) d, ns, np, or ns, np, and orbitals for hybridization to yield a set of equivalent orbitals of definite geometry such as octahedral, tetrahedral, square planar and so on. These hybrid orbitals are allowed to overlap with ligand orbitals that can contribute electron sets for bonding.

Types-of-Hybridization

MCQs on Valence Bond Theory:

  1. What does Valence Bond Theory describe?
    • a) Molecular shapes
    • b) Atomic masses
    • c) Electron configurations
    • d) Bond dissociation energies
    • Answer: a
  2. What is the primary focus of Valence Bond Theory (VBT)?
    • a) Molecular masses
    • b) Bond formation factors
    • c) Electron spin states
    • d) Atomic radii
    • Answer: b
  3. What is the condition for chemical bonding in Valence Bond Theory?
    • a) Similar atomic sizes
    • b) Overlapping of orbitals
    • c) High electronegativity
    • d) Presence of unpaired protons
    • Answer: b
  4. In Valence Bond Theory, what determines the direction of a covalent bond?
    • a) Atomic mass
    • b) Overlapping of orbitals
    • c) Electron spin
    • d) Electronegativity
    • Answer: b
  5. Who proposed Lewis structures that influenced Valence Bond Theory?
    • a) Linus Pauling
    • b) G.N. Lewis
    • c) Heitler and London
    • d) Schrödinger
    • Answer: b
  6. What type of bond results from the overlap of orbitals along the internuclear axis?
    • a) Sigma (σ) bond
    • b) Pi (π) bond
    • c) Delta (δ) bond
    • d) Gamma (γ) bond
    • Answer: a
  7. Which orbitals form Sigma (σ) bonds in Valence Bond Theory?
    • a) s and p
    • b) s and d
    • c) p and d
    • d) s and s
    • Answer: a
  8. How many pi (π) bonds are present in a triple covalent bond?
    • a) One
    • b) Two
    • c) Three
    • d) None
    • Answer: b
  9. What is a limitation of Valence Bond Theory?
    • a) Describes tetravalency in carbon
    • b) Provides insight into electron energies
    • c) Assumes electrons are uniformly distributed
    • d) Quantitatively interprets thermodynamic stabilities
    • Answer: c
  10. What does VBT suggest about paired electrons in the valence shell?
  • a) Participate in bond formation
  • b) Form multiple bonds
  • c) Exhibit tetravalency
  • d) Do not participate in bond formation
  • Answer: d
  1. Which concept does Valence Bond Theory fail to explain?
  • a) Molecular shapes
  • b) Electron energies
  • c) Coordination compound stabilities
  • d) Electron spin states
  • Answer: a
  1. In which molecule does the F-F bond arise from overlapping pz orbitals?
  • a) Oxygen
  • b) Fluorine (F2)
  • c) Hydrogen fluoride (HF)
  • d) Water (H2O)
  • Answer: b
  1. What is the primary focus of VBT in terms of molecular shapes?
  • a) Orbital hybridization
  • b) Coordination geometry
  • c) Electron spin
  • d) Sigma and pi bonds
  • Answer: a
  1. Which theory integrated Lewis’s pair-bonding idea with Heitler-London theory?
  • a) Quantum mechanics
  • b) Molecular Orbital Theory (MOT)
  • c) Valence Bond Theory (VBT)
  • d) VSEPR theory
  • Answer: c
  1. What does VBT predict about the direction of covalent bonds?
  • a) Random direction
  • b) Parallel to overlapping orbitals
  • c) Perpendicular to overlapping orbitals
  • d) Away from electronegative atoms
  • Answer: b
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FAQs:

1. What is Valence Bond Theory (VBT)?

  • Valence Bond Theory is a theory explaining chemical bonding and molecular shapes by considering the overlap of half-filled orbitals of two atoms, leading to the formation of covalent bonds.

2. How does VBT explain the strength of covalent bonds?

  • The bond strength in VBT depends on the extent of overlapping of orbitals. Larger overlap results in a more powerful bond.

3. What are the two types of overlapping orbitals discussed in VBT?

  • VBT discusses Sigma (σ) bonds, formed when orbitals overlap along the internuclear axis, and Pi (π) bonds, formed by the sidewise overlap of unhybridized p-orbitals.

4. How are Sigma (σ) and Pi (π) bonds related to bond order?

  • Single bonds have one sigma bond, double bonds have one sigma and one pi bond, and triple bonds have one sigma and two pi bonds.

5. How does VBT differ from VSEPR theory?

  • While VSEPR predicts molecular shapes, VBT is concerned with both the formation of bonds and the shapes of molecules.

6. Who proposed the initial concept of Valence Bond Theory?

  • G.N. Lewis proposed the initial idea of Valence Bond Theory in 1916, based on the concept of shared bonding electrons.

7. How did Linus Pauling contribute to the development of VBT?

  • Linus Pauling integrated Lewis’s pair-bonding concept with the Heitler-London theory, leading to the formulation of Valence Bond Theory.

8. What are the uses of Valence Bond Theory?

  • VBT can explain how covalent bonds form, as seen in molecules like the diatomic fluorine molecule (F2) or in hydrofluoric acid (HF).

9. What are the limitations of Valence Bond Theory?

  • VBT fails to describe tetravalency in carbon, lacks insight into electron energies, assumes electrons are localized, and doesn’t provide a quantitative interpretation of thermodynamic or kinetic stabilities.

10. How does VBT explain the directionality of covalent bonds?

  • According to VBT, covalent bonds are directional and parallel to the area corresponding to the overlapping atomic orbitals.

11. What role do sigma and pi bonds play in VBT?

  • Sigma bonds result from axial overlapping, and pi bonds result from sidewise overlapping. They contribute to the stability of the formed molecule.

12. How does VBT handle the hybridization of orbitals in metal atoms or ions?

  • VBT suggests that metal atoms or ions can use their (n-1) d, ns, np orbitals for hybridization, yielding equivalent orbitals of specific geometry for bonding with ligands.
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Summary

The Valence Bond Theory (VBT) provides insights into chemical bonding, molecular shapes, and the formation of covalent bonds. This theory emphasizes the overlap of half-filled orbitals, leading to the pairing of electrons and the creation of covalent bonds. The bond strength is determined by the extent of orbital overlap, with larger overlaps resulting in stronger bonds.

VBT introduces two types of overlapping orbitals: Sigma (σ) and Pi (π) bonds. Sigma bonds form along the internuclear axis, while Pi bonds involve the sidewise overlap of unhybridized p-orbitals. Single, double, and triple covalent bonds consist of varying combinations of sigma and pi bonds.

Unlike VSEPR theory, which focuses on molecular shapes, VBT considers both bond formation and molecular shapes. It originated from G.N. Lewis’s structures, and the integration of Lewis’s pair-bonding idea with the Heitler-London theory by Linus Pauling led to the formulation of VBT.

The theory has successfully explained resonance, orbital hybridization, and the shapes of molecules. Sigma and pi bonds play a crucial role in stabilizing molecules by determining the directionality of covalent bonds.

Examples, such as the diatomic fluorine molecule (F2) and hydrofluoric acid (HF), illustrate how VBT can describe covalent bond formation. However, VBT has limitations, including its inability to explain the tetravalency of carbon, lack of insights into electron energies, and the assumption of localized electrons.

In addressing the hybridization of metal atoms or ions, VBT suggests the usage of (n-1) d, ns, np, or ns, np, and orbitals to form hybrid orbitals with ligand orbitals, contributing to the stability of coordination substances.

Overall, VBT remains a valuable tool in understanding the intricacies of chemical bonding, providing a comprehensive view of molecular structures and the formation of covalent bonds.