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Chemistry · Class 11 Science

Ch 4Chemical Bonding and Molecular Structure — Class 11 Chemistry, concept-first.

Every molecule you will study in this chapter — from the simplest diatomic gas to a complex ion — is held together by a chemical bond: the attractive force that binds atoms, ions, or other constituents together within a chemical species.

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Key concepts

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Lewis Dot Structures

Atoms are held together in molecules by chemical bonds — but what exactly is a bond? In the early 20th century, Gilbert N. Lewis realised that the key lies in the valence electrons (the outermost electrons).

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Chapter contents

The NCERT structure, section by section. Open a section to see its questions, then read the concept-first solution.

Introduction

Every molecule you will study in this chapter — from the simplest diatomic gas to a complex ion — is held together by a chemical bond: the attractive force that binds atoms, ions, or other constituent…

4.1

Kössel-Lewis Approach to Chemical Bonding

By 1916, chemists had a puzzle: what drives atoms to form bonds? Two scientists, Walther Kössel and Gilbert N. Lewis, independently cracked the code.

4.1.1

Octet Rule

In 1916, Walther Kossel and Gilbert N. Lewis independently laid the foundation for a modern understanding of chemical bonding.

4.1.2

Covalent Bond

Langmuir (1919) took Lewis’s ideas and made them more practical. He dropped the rigid, cube-shaped picture of the octet and gave us the term covalent bond.

4.1.3

Lewis Representation of Simple Molecules (the Lewis Structures)

The Lewis dot structure is a symbolic picture that shows how atoms in a molecule share their valence electrons.

4.1.4

Formal Charge

A Lewis dot structure shows how atoms are connected and where electrons sit, but it does not tell you the actual shape of the molecule.

4.1.5

Limitations of the Octet Rule

The octet rule — the idea that atoms tend to achieve eight electrons in their valence shell — is a powerful tool for understanding the structures of many compounds, especially organic ones.

4.2

Ionic or Electrovalent Bond

The ionic bond is the electrostatic force of attraction that holds together oppositely charged ions. To understand when and why such a bond forms, we need to look at the energy changes involved in cre…

4.2.1

Lattice Enthalpy

When you hold a crystal of sodium chloride in your hand, you are holding a vast three‑dimensional network of Na⁺ and Cl⁻ ions locked together by electrostatic forces.

4.3

Bond Parameters

When we talk about a chemical bond, we are not just saying that two atoms are "connected." A bond has measurable physical properties — length, strength, polarity, and direction.

4.3.1

Bond Length

The bond length is the distance between the nuclei of two bonded atoms when the molecule is at its most stable, lowest-energy state.

4.3.2

Bond Angle

The bond angle is defined as the angle between the orbitals that contain the bonding electron pairs around the central atom in a molecule or a complex ion.

4.3.3

Bond Enthalpy

Chemical bonds hold atoms together, and breaking them requires energy. Bond enthalpy is the quantitative measure of that energy cost.

4.3.4

Bond Order

The Lewis model gives us a simple, direct way to measure the strength of a covalent bond. This measure is called the bond order.

4.3.5

Resonance Structures

A single Lewis structure often fails to match experimental reality. Consider ozone, . You can draw two perfectly valid Lewis structures for it:

4.3.6

Polarity of Bonds

A chemical bond is formed when two atoms share a pair of electrons. But what happens when the two atoms are different? Do they pull on the shared electrons with equal strength? The answer is no — and…

4.4

The Valence Shell Electron Pair Repulsion (VSEPR) Theory

The Lewis concept tells us which atoms are connected and how many bonds they form, but it says nothing about the three-dimensional shape of the molecule. The VSEPR theory fills this gap.

4.5

Valence Bond Theory

The Lewis approach gives us a way to write the structure of a molecule, but it cannot explain why a chemical bond forms in the first place.

4.5.1

Orbital Overlap Concept

The formation of a covalent bond is not simply a matter of two atoms coming close together. There is a specific physical picture that explains why a bond forms and how strong it will be.

4.5.2

Directional Properties of Bonds

A covalent bond forms when atomic orbitals overlap. In a diatomic molecule like H₂, the bond is simply the result of two 1s orbitals overlapping along the line joining the nuclei.

4.5.3

Overlapping of Atomic Orbitals

A covalent bond forms when atomic orbitals from two atoms come sufficiently close to each other. The key idea is that the bond's strength and direction depend on how these orbitals overlap in space.

4.5.4

Types of Overlapping and Nature of Covalent Bonds

A covalent bond forms when two atoms share a pair of electrons. But the strength, length, and even the chemical behaviour of that bond depend critically on how the atomic orbitals overlap.

4.5.5

Strength of Sigma and pi Bonds

The strength of any covalent bond — whether sigma () or pi () — is fundamentally determined by one factor: the extent of overlapping between the atomic orbitals that form the bond.

4.6

Hybridisation

By the early 1930s, the valence bond theory could explain the formation of simple diatomic molecules like and . But it failed spectacularly when faced with polyatomic molecules.

4.6.1

Types of Hybridisation

Hybridisation is the mixing of atomic orbitals of the same atom (with comparable energies) to form a new set of equivalent orbitals called hybrid orbitals.

4.6.2

Other Examples of sp3, sp2 and sp Hybridisation

In the ethane molecule, each carbon atom is surrounded by four other atoms — one carbon and three hydrogens. To accommodate this tetrahedral geometry, both carbon atoms undergo sp³ hybridisation.

4.6.3

Hybridisation of Elements involving d Orbitals

Atoms of elements in the third period (like phosphorus, sulphur, and chlorine) possess d orbitals in addition to s and p orbitals.

4.7

Molecular Orbital Theory

The molecular orbital (MO) theory was developed by F. Hund and R.S. Mulliken in 1932. It offers a fundamentally different picture of chemical bonding from the valence bond approach.

4.7.1

Formation of Molecular Orbitals Linear Combination of Atomic Orbitals (LCAO)

The Schrödinger wave equation gives us wave functions () that describe atomic orbitals. These wave functions represent the amplitude of the electron wave.

4.7.2

Conditions for the Combination of Atomic Orbitals

Not every pair of atomic orbitals can combine to form molecular orbitals. The process is governed by three strict conditions.

4.7.3

Types of Molecular Orbitals

The molecular orbitals of diatomic molecules are designated by their symmetry about the internuclear (bond) axis: sigma (), pi () and delta ().

4.7.4

Energy Level Diagram for Molecular Orbitals

When two atoms approach each other, their atomic orbitals combine to form molecular orbitals. You already know that two 1s atomic orbitals give one bonding orbital () and one antibonding orbital ().

4.7.5

Electronic Configuration and Molecular Behaviour

The distribution of electrons among the various molecular orbitals of a molecule is called its electronic configuration.

4.8

Bonding in Some Homonuclear Diatomic Molecules

We now apply molecular orbital theory to specific homonuclear diatomic molecules — molecules made of two identical atoms.

4.9

Hydrogen Bonding

The story of the hydrogen bond begins with three elements: nitrogen, oxygen, and fluorine. These are the most electronegative elements on the periodic table.

4.9.1

Cause of Formation of Hydrogen Bond

The hydrogen bond is not a true chemical bond like a covalent or ionic bond. It is a special type of dipole-dipole attraction that arises from a very specific set of conditions.

4.9.2

Types of H-Bonds

A hydrogen bond is a special type of dipole-dipole attraction. It forms when a hydrogen atom is sandwiched between two highly electronegative atoms — specifically fluorine (F), oxygen (O), or nitrogen…

Summary

- Kössel-Lewis approach: Atoms achieve stable noble-gas configurations by sharing (covalent bond) or transferring (ionic bond) electrons.

Exercises

This chapter closes with the NCERT's own set of end-of-chapter exercise questions (Exercises 4.1–4.40), listed below with our own worked solutions.

+Exercisesi40 questions
  1. 4.1Explain the formation of a chemical bond.Free
  2. 4.2Write Lewis dot symbols for atoms of the following elements: Mg, Na, B, O, N, Br.Free
  3. 4.3Write Lewis symbols for the following atoms and ions: S and $S^{2-}$; Al and $Al^{3+}$; H and $H^-$.Free
  4. 4.4Draw the Lewis structures for the following molecules and ions: $H_2S$, $SiCl_4$, $BeF_2$, $CO_3^{2-}$, HCOOH.Preview
  5. 4.5Define octet rule. Write its significance and limitations.Preview
  6. 4.6Write the favourable factors for the formation of an ionic bond.Preview
  7. 4.7Discuss the shape of the following molecules using the VSEPR model: $BeCl_2$, $BCl_3$, $SiCl_4$, $AsF_5$, $H_2S$, $PH_3$.Preview
  8. 4.8Although geometries of $NH_3$ and $H_2O$ molecules are distorted tetrahedral, bond angle in water is less than that of ammonia. Discuss.Preview
  9. 4.9How do you express the bond strength in terms of bond order?Preview
  10. 4.10Define the bond length.Preview
  11. 4.11Explain the important aspects of resonance with reference to the $CO_3^{2-}$ ion.Preview
  12. 4.12$H_3PO_3$ can be represented by structures 1 and 2 shown below. Can these two structures be taken as the canonical forms of the resonance hy…Preview
  13. 4.13Write the resonance structures for $SO_3$, $NO_2$ and $NO_3^-$.Preview
  14. 4.14Use Lewis symbols to show electron transfer between the following atoms to form cations and anions: (a) K and S (b) Ca and O (c) Al and N.Preview
  15. 4.15Although both $CO_2$ and $H_2O$ are triatomic molecules, the shape of $H_2O$ molecule is bent while that of $CO_2$ is linear. Explain this o…Preview
  16. 4.16Write the significance/applications of dipole moment.Preview
  17. 4.17Define electronegativity. How does it differ from electron gain enthalpy?Preview
  18. 4.18Explain with the help of a suitable example a polar covalent bond.Preview
  19. 4.19Arrange the bonds in order of increasing ionic character in the molecules: LiF, $K_2O$, $N_2$, $SO_2$ and $ClF_3$.Preview
  20. 4.20The skeletal structure of $CH_3COOH$ as shown below is correct, but some of the bonds are shown incorrectly. Write the correct Lewis structu…Preview
  21. 4.21Apart from tetrahedral geometry, another possible geometry for $CH_4$ is square planar with the four H atoms at the corners of the square an…Preview
  22. 4.22Explain why $BeH_2$ molecule has a zero dipole moment although the Be–H bonds are polar.Preview
  23. 4.23Which out of $NH_3$ and $NF_3$ has higher dipole moment and why?Preview
  24. 4.24What is meant by hybridisation of atomic orbitals? Describe the shapes of $sp$, $sp^2$, $sp^3$ hybrid orbitals.Preview
  25. 4.25Describe the change in hybridisation (if any) of the Al atom in the following reaction: $AlCl_3 + Cl^- \rightarrow AlCl_4^-$.Preview
  26. 4.26Is there any change in the hybridisation of B and N atoms as a result of the following reaction? $BF_3 + NH_3 \rightarrow F_3B \cdot NH_3$Preview
  27. 4.27Draw diagrams showing the formation of a double bond and a triple bond between carbon atoms in $C_2H_4$ and $C_2H_2$ molecules.Preview
  28. 4.28What is the total number of sigma and pi bonds in the following molecules? (a) $C_2H_2$ (b) $C_2H_4$Preview
  29. 4.29Considering the x-axis as the internuclear axis which out of the following will not form a sigma bond and why? (a) 1s and 1s (b) 1s and $2p_…Preview
  30. 4.30Which hybrid orbitals are used by carbon atoms in the following molecules? (a) $CH_3\text{–}CH_3$ (b) $CH_3\text{–}CH=CH_2$ (c) $CH_3\text{-…Preview
  31. 4.31What do you understand by bond pairs and lone pairs of electrons? Illustrate by giving one example of each type.Preview
  32. 4.32Distinguish between a sigma and a pi bond.Preview
  33. 4.33Explain the formation of $H_2$ molecule on the basis of valence bond theory.Preview
  34. 4.34Write the important conditions required for the linear combination of atomic orbitals to form molecular orbitals.Preview
  35. 4.35Use molecular orbital theory to explain why the $Be_2$ molecule does not exist.Preview
  36. 4.36Compare the relative stability of the following species and indicate their magnetic properties: $O_2$, $O_2^+$, $O_2^-$ (superoxide), $O_2^{…Preview
  37. 4.37Write the significance of a plus and a minus sign shown in representing the orbitals.Preview
  38. 4.38Describe the hybridisation in case of $PCl_5$. Why are the axial bonds longer as compared to equatorial bonds?Preview
  39. 4.39Define hydrogen bond. Is it weaker or stronger than the van der Waals forces?Preview
  40. 4.40What is meant by the term bond order? Calculate the bond order of: $N_2$, $O_2$, $O_2^+$ and $O_2^-$.Preview

Exemplar Problems

Higher-order thinking / exemplar-style practice problems.

+Show 68 questions68 questions
  1. Q1Isostructural species are those which have the same shape and hybridisation. Among the given species identify the isostructural pairs. (i) […Free
  2. Q2Polarity in a molecule and hence the dipole moment depends primarily on electronegativity of the constituent atoms and shape of a molecule.…Free
  3. Q3The types of hybrid orbitals of nitrogen in NO2^+, NO3^- and NH4^+ respectively are expected to be (i) sp, sp^3 and sp^2 (ii) sp, sp^2 and s…Free
  4. Q4Hydrogen bonds are formed in many compounds e.g., H2O, HF, NH3. The boiling point of such compounds depends to a large extent on the strengt…Preview
  5. Q5In PO4^3- ion the formal charge on the oxygen atom of P–O bond is (i) + 1 (ii) – 1 (iii) – 0.75 (iv) + 0.75Preview
  6. Q6In NO3^- ion, the number of bond pairs and lone pairs of electrons on nitrogen atom are (i) 2, 2 (ii) 3, 1 (iii) 1, 3 (iv) 4, 0Preview
  7. Q7Which of the following species has tetrahedral geometry? (i) BH4^- (ii) NH2^- (iii) CO3^2- (iv) H3O^+Preview
  8. Q8Number of π bonds and σ bonds in the following structure is— ![Naphthalene: two fused six-membered carbon rings drawn with alternating doubl…Preview
  9. Q9Which molecule/ion out of the following does not contain unpaired electrons? (i) N2^+ (ii) O2 (iii) O2^2- (iv) B2Preview
  10. Q10In which of the following molecule/ion all the bonds are not equal? (i) XeF4 (ii) BF4^- (iii) C2H4 (iv) SiF4Preview
  11. Q11In which of the following substances will hydrogen bond be strongest? (i) HCl (ii) H2O (iii) HI (iv) H2SPreview
  12. Q12If the electronic configuration of an element is 1s^2 2s^2 2p^6 3s^2 3p^6 3d^2 4s^2, the four electrons involved in chemical bond formation…Preview
  13. Q13Which of the following angle corresponds to sp^2 hybridisation? (i) 90° (ii) 120° (iii) 180° (iv) 109°Preview
  14. Q14The electronic configurations of three elements, A, B and C are given below. Answer questions 14 to 17 on the basis of these configurations.…Preview
  15. Q15The electronic configurations of three elements, A, B and C are given below. A: 1s^2 2s^2 2p^6 B: 1s^2 2s^2 2p^6 3s^2 3p^3 C: 1s^2 2s^2 2p^6…Preview
  16. Q16The electronic configurations of three elements, A, B and C are given below. A: 1s^2 2s^2 2p^6 B: 1s^2 2s^2 2p^6 3s^2 3p^3 C: 1s^2 2s^2 2p^6…Preview
  17. Q17The electronic configurations of three elements, A, B and C are given below. A: 1s^2 2s^2 2p^6 B: 1s^2 2s^2 2p^6 3s^2 3p^3 C: 1s^2 2s^2 2p^6…Preview
  18. Q18Which of the following order of energies of molecular orbitals of N2 is correct? (i) (π2p_y) < (σ2p_z) < (π*2p_x) ≈ (π*2p_y) (ii) (π2p_y) >…Preview
  19. Q19Which of the following statement is not correct from the view point of molecular orbital theory? (i) Be2 is not a stable molecule. (ii) He2…Preview
  20. Q20Which of the following options represents the correct bond order : (i) O2^- > O2 > O2^+ (ii) O2^- < O2 < O2^+ (iii) O2^- > O2 < O2^+ (iv) O2…Preview
  21. Q21The electronic configuration of the outer most shell of the most electronegative element is (i) 2s^2 2p^5 (ii) 3s^2 3p^5 (iii) 4s^2 4p^5 (iv…Preview
  22. Q22Amongst the following elements whose electronic configurations are given below, the one having the highest ionisation enthalpy is (i) [Ne]3s…Preview
  23. Q23Which of the following have identical bond order? (Note: more than one of the given options may be correct.) (i) CN^- (ii) NO^+ (iii) O2^- (…Preview
  24. Q24Which of the following attain the linear structure: (Note: more than one of the given options may be correct.) (i) BeCl2 (ii) NCO^+ (iii) NO…Preview
  25. Q25CO is isoelectronic with (Note: more than one of the given options may be correct.) (i) NO^+ (ii) N2 (iii) SnCl2 (iv) NO2^-Preview
  26. Q26Which of the following species have the same shape? (Note: more than one of the given options may be correct.) (i) CO2 (ii) CCl4 (iii) O3 (i…Preview
  27. Q27Which of the following statements are correct about CO3^2- ? (Note: more than one of the given options may be correct.) (i) The hybridisatio…Preview
  28. Q28Dimagnetic species are those which contain no unpaired electrons. Which among the following are dimagnetic? (Note: more than one of the give…Preview
  29. Q29Species having same bond order are : (Note: more than one of the given options may be correct.) (i) N2 (ii) N2^- (iii) F2^+ (iv) O2^-Preview
  30. Q30Which of the following statements are not correct? (Note: more than one of the given options may be correct.) (i) NaCl being an ionic compou…Preview
  31. Q31Read the comprehension and answer the question that follows. Molecular orbitals are formed by the overlap of atomic orbitals. Two atomic orb…Preview
  32. Q32Which of the following molecular orbitals has maximum number of nodal planes? (i) σ*1s (ii) σ*2p_z (iii) π2p_x (iv) π*2p_yPreview
  33. Q33Which of the following pair is expected to have the same bond order? (i) O2, N2 (ii) O2^+, N2^- (iii) O2^-, N2^+ (iv) O2^-, N2^-Preview
  34. Q34In which of the following molecules, σ2p_z molecular orbital is filled after π2p_x and π2p_y molecular orbitals? (i) O2 (ii) Ne2 (iii) N2 (i…Preview
  35. Q35Explain the non linear shape of H2S and non planar shape of PCl3 using valence shell electron pair repulsion theory.Preview
  36. Q36Using molecular orbital theory, compare the bond energy and magnetic character of O2^+ and O2^- species.Preview
  37. Q37Explain the shape of BrF5.Preview
  38. Q38Structures of molecules of two compounds are given below : ![Two benzene-ring structures labelled (I) and (II): in (I) the NO2 and OH groups…Preview
  39. Q39Why does type of overlap given in the following figure not result in bond formation? ![Two orbital-overlap cases labelled (a) and (b): in (a…Preview
  40. Q40Explain why PCl5 is trigonal bipyramidal whereas IF5 is square pyramidal.Preview
  41. Q41In both water and dimethyl ether (CH3—O—CH3), oxygen atom is central atom, and has the same hybridisation, yet they have different bond angl…Preview
  42. Q42Write Lewis structure of the following compounds and show formal charge on each atom. HNO3, NO2, H2SO4Preview
  43. Q43The energy of σ2p_z molecular orbital is greater than π2p_x and π2p_y molecular orbitals in nitrogen molecule. Write the complete sequence o…Preview
  44. Q44What is the effect of the following processes on the bond order in N2 and O2? (i) N2 → N2^+ + e^- (ii) O2 → O2^+ + e^-Preview
  45. Q45Give reasons for the following : (i) Covalent bonds are directional bonds while ionic bonds are non-directional. (ii) Water molecule has ben…Preview
  46. Q46What is an ionic bond? With two suitable examples explain the difference between an ionic and a covalent bond?Preview
  47. Q47Arrange the following bonds in order of increasing ionic character giving reason. N—H, F—H, C—H and O—HPreview
  48. Q48Explain why CO3^2- ion cannot be represented by a single Lewis structure. How can it be best represented?Preview
  49. Q49Predict the hybridisation of each carbon in the molecule of organic compound given below. Also indicate the total number of sigma and pi bon…Preview
  50. Q50Group the following as linear and non-linear molecules : H2O, HOCl, BeCl2, Cl2OPreview
  51. Q51Elements X, Y and Z have 4, 5 and 7 valence electrons respectively. (i) Write the molecular formula of the compounds formed by these element…Preview
  52. Q52Draw the resonating structure of (i) Ozone molecule (ii) Nitrate ionPreview
  53. Q53Predict the shapes of the following molecules on the basis of hybridisation. BCl3, CH4, CO2, NH3Preview
  54. Q54All the C—O bonds in carbonate ion (CO3^2-) are equal in length. Explain.Preview
  55. Q55What is meant by the term average bond enthalpy? Why is there difference in bond enthalpy of O—H bond in ethanol (C2H5OH) and water?Preview
  56. Q56Match the species in Column I with the type of hybrid orbitals in Column II. Column I (i) SF4 (ii) IF5 (iii) NO2^+ (iv) NH4^+ Column II (a)…Preview
  57. Q57Match the species in Column I with the geometry/shape in Column II. Column I (i) H3O^+ (ii) HC≡CH (iii) ClO2^- (iv) NH4^+ Column II (a) Line…Preview
  58. Q58Match the species in Column I with the bond order in Column II. Column I (i) NO (ii) CO (iii) O2^- (iv) O2 Column II (a) 1.5 (b) 2.0 (c) 2.5…Preview
  59. Q59Match the items given in Column I with examples given in Column II. Column I (i) Hydrogen bond (ii) Resonance (iii) Ionic solid (iv) Covalen…Preview
  60. Q60Match the shape of molecules in Column I with the type of hybridisation in Column II. Column I (i) Tetrahedral (ii) Trigonal (iii) Linear Co…Preview
  61. Q61Assertion (A): Sodium chloride formed by the action of chlorine gas on sodium metal is a stable compound. Reason (R): This is because sodium…Preview
  62. Q62Assertion (A): Though the central atom of both NH3 and H2O molecules are sp^3 hybridised, yet H–N–H bond angle is greater than that of H–O–H…Preview
  63. Q63Assertion (A): Among the two O–H bonds in H2O molecule, the energy required to break the first O–H bond and the other O–H bond is the same.…Preview
  64. Q64(i) Discuss the significance/applications of dipole moment. (ii) Represent diagrammatically the bond moments and the resultant dipole moment…Preview
  65. Q65Use the molecular orbital energy level diagram to show that N2 would be expected to have a triple bond, F2, a single bond and Ne2, no bond.Preview
  66. Q66Briefly describe the valence bond theory of covalent bond formation by taking an example of hydrogen. How can you interpret energy changes t…Preview
  67. Q67Describe hybridisation in the case of PCl5 and SF6. The axial bonds are longer as compared to equatorial bonds in PCl5 whereas in SF6 both a…Preview
  68. Q68(i) Discuss the concept of hybridisation. What are its different types in a carbon atom. (ii) What is the type of hybridisation of carbon at…Preview