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Chemical Bonding and Molecular Structure

NCERT Class 11 · Chemistry Based on NCERT Class 11 Chemistry textbook · Free CBSE study kit

Chapter Notes

KÖSSEL-LEWIS APPROACH TO CHEMICAL BONDING

**Definition**: The Kössel-Lewis approach explains chemical bonding in terms of valence electrons and the tendency of atoms to achieve stable noble gas configurations.

**Historical Context**:

  • Developed independently by **Walter Kössel** and **Gilbert N. Lewis** in 1916
  • First successful explanation of chemical bonding based on electron transfer and sharing
  • Built upon the observation that noble gases (with exception of helium) possess 8 valence electrons (octet) in their outer shell and exhibit exceptional stability
  • **Lewis Model of Atomic Structure**:

  • Atoms consist of a positively charged **kernel** (nucleus + inner electrons) surrounded by valence electrons
  • Valence electrons occupy the corners of an imaginary cube surrounding the kernel
  • Maximum 8 electrons can occupy the outer shell (for second period elements onwards)
  • An octet of electrons represents the most stable electronic arrangement
  • Atoms achieve stability by bonding to attain this octet configuration
  • **Kössel's Key Observations**:

  • Highly electronegative halogens and highly electropositive alkali metals are separated in the periodic table by noble gases
  • Halogen atoms gain electrons (become negative ions) while alkali metals lose electrons (become positive ions)
  • Both resulting ions attain noble gas electron configurations
  • Ions are stabilized by **electrostatic attraction** between opposite charges
  • **Example: Formation of NaCl**

  • Na ([Ne]3s¹) → Na⁺ ([Ne]) + e⁻ (ionization)
  • Cl ([Ne]3s²3p⁵) + e⁻ → Cl⁻ ([Ne]3s²3p⁶) (electron gain)
  • Na⁺ + Cl⁻ → NaCl (ionic compound formation)
  • Both Na⁺ and Cl⁻ achieve argon configuration
  • **Example: Formation of CaF₂**

  • Ca ([Ar]4s²) → Ca²⁺ ([Ar]) + 2e⁻
  • F ([He]2s²2p⁵) + e⁻ → F⁻ ([He]2s²2p⁶ or [Ne])
  • Ca²⁺ + 2F⁻ → CaF₂
  • Each F⁻ achieves neon configuration; Ca²⁺ achieves argon configuration
  • **Exam Important Points**:

  • Electrovalence equals the number of unit charges on the ion
  • Calcium has electrovalence +2; chlorine has electrovalence -1
  • This approach successfully explains ionic compound formation and crystal structures
  • Kössel recognized that many compounds did not fit this ionic bonding model
  • ---

    LEWIS SYMBOLS

    **Definition**: Simple notations introduced by G.N. Lewis to represent valence electrons of atoms.

    **Representation Method**:

  • The element's symbol is written
  • Dots are placed around the symbol representing valence electrons
  • Electrons are distributed on four sides (top, bottom, left, right) of the symbol
  • Maximum 8 dots represent a complete octet
  • **Lewis Symbols for Second Period Elements**:

  • Li: 1 dot (1 valence electron)
  • Be: 2 dots (2 valence electrons)
  • B: 3 dots (3 valence electrons)
  • C: 4 dots (4 valence electrons)
  • N: 5 dots (5 valence electrons)
  • O: 6 dots (6 valence electrons)
  • F: 7 dots (7 valence electrons)
  • Ne: 8 dots (8 valence electrons)
  • **Significance**:

  • Number of dots indicates number of valence electrons
  • Helps determine common valence of an element
  • Group valence = number of dots OR (8 - number of dots)
  • Shows which electrons participate in chemical bonding
  • Inner electrons are not represented (they don't participate in bonding)
  • **Example**: Oxygen has 6 valence electrons, so group valence = 6 or (8-6) = 2. Oxygen typically shows valence of 2.

    ---

    OCTET RULE

    **Statement**: Atoms combine (either by transferring or sharing valence electrons) to achieve an octet (8 electrons) in their valence shell, thereby attaining the stable configuration of the nearest noble gas.

    **Key Postulates**:

  • Atoms tend to gain, lose, or share electrons to complete their valence shell
  • A complete outer shell contains 8 electrons for elements in periods 2 and onwards
  • Hydrogen achieves stability with 2 electrons (duplet) like helium
  • Noble gases already possess stable octets, making them chemically inert
  • **Mechanisms**:

    1. **Electron Transfer**: Formation of ionic bonds (discussed separately)

    2. **Electron Sharing**: Formation of covalent bonds (discussed separately)

    **Why Octet Rule Works**:

  • Noble gases have maximum stability due to filled s and p orbitals (ns²np⁶)
  • Other elements seek to mimic this stable configuration
  • Lower energy state achieved when octet is complete
  • Electrostatic attractions stabilize resulting ions or bonded molecules
  • **Exam Important Points**:

  • Octet rule applies primarily to second period elements (C, N, O, F)
  • Applies well to main group elements (s and p block)
  • Has three major exceptions (discussed in limitations section)
  • Does not explain molecular geometry
  • Provides qualitative understanding but not quantitative energetic details
  • ---

    COVALENT BOND

    **Definition**: A covalent bond is formed when two atoms share a pair of electrons. Both atoms contribute equally to the shared pair.

    **Historical Development**:

  • Langmuir (1919) refined Lewis postulations
  • Abandoned the idea of stationary cubic arrangement
  • Introduced the term "covalent bond"
  • Extended Lewis-Langmuir theory to molecular structures
  • **Formation Example: Cl₂ Molecule**

  • Cl atom: [Ne]3s²3p⁵ (one electron short of argon)
  • Two Cl atoms each contribute one electron
  • Shared electron pair: both atoms achieve [Ar] configuration
  • Lewis structure: Cl:Cl or Cl-Cl (dash represents shared pair)
  • **Requirements for Covalent Bond Formation**:

  • Each bond results from sharing of one electron pair between atoms
  • Each combining atom contributes at least one electron to shared pair
  • Combining atoms achieve outer shell noble gas configuration
  • Atoms are held together by attractive forces between nuclei and shared electrons
  • **Example: Water (H₂O) Formation**

  • O atom: 2s²2p⁴ (needs 2 more electrons for octet)
  • Each H atom: 1s¹ (needs 1 more electron for duplet)
  • O shares electrons with two H atoms
  • Each O-H bond is a single covalent bond (shared pair)
  • All atoms achieve stable configuration
  • **Example: Carbon Tetrachloride (CCl₄)**

  • C atom: 2s²2p² (needs 4 more electrons)
  • Each Cl atom needs 1 more electron
  • C forms 4 single covalent bonds with four Cl atoms
  • C achieves octet; each Cl achieves octet
  • **Types of Covalent Bonds Based on Electron Pairs Shared**:

    1. **Single Covalent Bond**: Sharing of one electron pair (one dash)

  • Example: H-Cl, C-C, C-H
  • Weakest among single, double, and triple bonds
  • 2. **Double Covalent Bond**: Sharing of two electron pairs (two dashes)

  • Example: C=C (ethene), C=O (formaldehyde), CO₂ (carbon dioxide)
  • Shorter bond length than single bonds
  • Stronger than single bonds
  • 3. **Triple Covalent Bond**: Sharing of three electron pairs (three dashes)

  • Example: N≡N (nitrogen molecule), C≡C (ethyne/acetylene), C≡N (hydrogen cyanide)
  • Shortest and strongest among the three types
  • Explains why N₂ is extremely stable and unreactive
  • **Exam Important Points**:

  • Lewis dot structures show connectivity and bonding
  • Dots represent electrons; dashes represent shared pairs
  • Multiple bonds restrict rotation (planar geometry)
  • Bond strength: triple > double > single
  • Bond length: triple < double < single
  • Covalent bonds are directional (unlike ionic bonds)
  • ---

    LEWIS STRUCTURES (LEWIS DOT STRUCTURES)

    **Purpose**: Pictorial representation of bonding in molecules and ions using shared electron pairs and showing how atoms achieve octet rule.

    **Step-by-Step Method for Writing Lewis Structures**:

    **Step 1: Calculate Total Valence Electrons**

  • Add valence electrons from all atoms
  • For anions: add one electron per negative charge
  • For cations: subtract one electron per positive charge
  • **Example for CH₄**:

  • C: 4 valence electrons
  • H: 1 electron × 4 = 4 electrons
  • Total = 8 electrons available
  • **Example for CO₃²⁻**:

  • C: 4 valence electrons
  • O: 6 electrons × 3 = 18 electrons
  • Additional electrons from 2- charge: +2 electrons
  • Total = 4 + 18 + 2 = 24 electrons
  • **Step 2: Determine Skeletal Structure**

  • Least electronegative atom (except H) occupies central position
  • Example: In NF₃, nitrogen is central; in CO₃²⁻, carbon is central
  • Hydrogen always occupies terminal positions (forms only one bond)
  • More electronegative atoms occupy terminal positions
  • **Step 3: Distribute Electrons for Single Bonds**

  • Connect central atom to each terminal atom with single bond (one pair)
  • Each bond accounts for 2 electrons from total count
  • **Step 4: Complete Octets of Terminal Atoms**

  • After single bonds, remaining electrons distributed to terminal atoms as lone pairs
  • Each terminal atom (except H) should achieve octet
  • Hydrogen needs only 2 electrons (duplet)
  • **Step 5: Handle Remaining Electrons on Central Atom**

  • If central atom lacks octet after step 4, use remaining electrons as lone pairs
  • If remaining electrons still don't complete central atom's octet, form multiple bonds
  • **Step 6: Form Multiple Bonds if Necessary**

  • If central atom still lacks octet, move lone pairs from terminal atoms to form double or triple bonds
  • Continue until all atoms achieve stable configuration
  • **Worked Example: CO Molecule**

    Step 1: Valence electrons = 4 (C) + 6 (O) = 10 electrons

    Step 2: Skeletal structure: C-O

    Step 3: Single bond accounts for 2 electrons; remaining = 8 electrons

    Step 4: Complete O's octet: O needs 6 more electrons (3 lone pairs)

    ```

    C : O:• (with 3 lone pairs on O)

    • •

    ```

    Step 5: Central C atom now has only 2 electrons; needs 6 more for octet

    Step 6: Form triple bond between C and O (use O's lone pairs)

    ```

    C ≡ O: (or C≡O with one lone pair on C)

    ```

    **Worked Example: NO₂⁻ (Nitrite Ion)**

    Step 1: Valence electrons = 5 (N) + 6 (O) × 2 + 1 (charge) = 18 electrons

    Step 2: Skeletal structure: O-N-O

    Step 3: Two single bonds account for 4 electrons; remaining = 14 electrons

    Step 4: Complete O atoms' octets: each needs 3 lone pairs = 6 electrons per O = 12 electrons used; 2 remain

    Step 5: N atom still needs electrons for octet; has only 2 electrons

    Step 6: Convert one N-O single bond to double bond using one lone pair from that O

    Result: Two resonance structures exist (shown with formal charges)

    **Common Lewis Structures Table**:

    | Molecule | Total e⁻ | Structure | Notes |

    |----------|----------|-----------|-------|

    | CH₄ | 8 | C surrounded by 4 H | All single bonds |

    | C₂H₄ | 12 | C=C with 2 H on each | One double bond |

    | C₂H₂ | 10 | C≡C with 1 H on each | One triple bond |

    | H₂O | 8 | O with 2 H and 2 lone pairs | Two single bonds |

    | NH₃ | 8 | N with 3 H and 1 lone pair | Three single bonds |

    | CO₂ | 16 | O=C=O linear | Two double bonds |

    | N₂ | 10 | N≡N | Triple bond, very stable |

    **Exam Important Points**:

  • Lewis structures do NOT show actual 3D molecular shape
  • Multiple Lewis structures possible for same molecule = resonance
  • Useful for understanding bonding but limited in explaining properties
  • Apply octet rule strictly; note when rule is violated
  • Show both bonding and lone pairs clearly
  • ---

    FORMAL CHARGE

    **Definition**: The formal charge on an atom in a Lewis structure is the difference between valence electrons in the free atom and electrons assigned to that atom in the structure.

    **Formula**:

    ```

    Formal Charge (F.C.) = V - N - (B/2)

    ```

    Where:

  • V = total valence electrons in free atom
  • N = total non-bonding (lone pair) electrons on atom in structure
  • B = total bonding (shared) electrons around atom in structure
  • **Calculation Logic**:

  • Atom claims one electron from each shared pair (B/2)
  • Atom claims both electrons from each lone pair (N)
  • Subtract actual electrons claimed from valence electrons available
  • **Example 1: Ozone (O₃) Molecule**

    Lewis structure shows: O₁-O₂=O₃ with lone pairs

    For central O atom (O₁):

  • V = 6 (valence electrons of oxygen)
  • N = 2 (one lone pair = 2 non-bonding electrons)
  • B = 6 (two shared pairs with O₂ = 6 bonding electrons)
  • F.C. = 6 - 2 - (6/2) = 6 - 2 - 3 = **+1**
  • For terminal O atom (O₂):

  • V = 6
  • N = 4 (two lone pairs = 4 electrons)
  • B = 4 (two shared pairs: one with O₁, one with O₃ = 4 bonding electrons)
  • F.C. = 6 - 4 - (4/2) = 6 - 4 - 2 = **0**
  • For terminal O atom (O₃):

  • V = 6
  • N = 6 (three lone pairs = 6 electrons)
  • B = 2 (one shared pair with O₂ = 2 bonding electrons)
  • F.C. = 6 - 6 - (2/2) = 6 - 6 - 1 = **-1**
  • **Representation**: O₃ shown with +1 on one O and -1 on other terminal O

    **Example 2: Nitrite Ion (NO₂⁻)**

    For N atom:

  • V = 5 (valence electrons of nitrogen)
  • N = 2 (one lone pair)
  • B = 6 (assuming one single and one double bond = 6 shared electrons)
  • F.C. = 5 - 2 - (6/2) = 5 - 2 - 3 = **0**
  • For doubly-bonded O:

  • V = 6
  • N = 4 (two lone pairs)
  • B = 4 (one double bond)
  • F.C. = 6 - 4 - (4/2) = 6 - 4 - 2 = **0**
  • For singly-bonded O:

  • V = 6
  • N = 6 (three lone pairs)
  • B = 2 (one single bond)
  • F.C. = 6 - 6 - (2/2) = 6 - 6 - 1 = **-1**
  • **Rules for Using Formal Charges**:

    1. **Sum of formal charges**: Must equal overall charge of molecule/ion

  • For neutral molecule: sum = 0
  • For anion with -n charge: sum = -n
  • For cation with +n charge: sum = +n
  • 2. **Selecting most reasonable Lewis structure**:

  • Choose structure with smallest formal charges
  • Choose structure where negative charges on most electronegative atoms
  • Choose structure with positive charges on least electronegative atoms
  • Minimize separation of formal charges
  • 3. **Important clarification**:

  • Formal charges do NOT represent actual charge distribution
  • They are bookkeeping tools for tracking valence electrons
  • Real charge distribution determined by electronegativity and molecular geometry
  • Useful for determining stability and reactivity trends
  • **Exam Important Points**:

  • Always calculate formal charges for polyatomic ions
  • Use for determining most stable resonance structure
  • Sum check confirms correct Lewis structure
  • Do not confuse with oxidation state (different concept)
  • Essential for understanding reactivity of organic molecules
  • ---

    LIMITATIONS OF THE OCTET RULE

    The octet rule, while useful, is NOT universal. Three major exceptions exist:

    Exception 1: INCOMPLETE OCTET OF CENTRAL ATOM

    **Condition**: Some compounds have fewer than 8 electrons around central atom, especially with elements having less than 4 valence electrons.

    **Examples**:

    1. **Lithium Chloride (LiCl)**

  • Li has 1 valence electron
  • Forms Li⁺ with 0 valence electrons (loses its only electron)
  • Achieves He configuration (satisfied with 2 electrons)
  • Still forms stable ionic compound
  • 2. **Beryllium Hydride (BeH₂)**

  • Be has 2 valence electrons
  • Forms covalent bonds with two H atoms
  • Final Lewis structure: H-Be-H
  • Be has only 4 electrons around it (incomplete octet)
  • Yet molecule is stable
  • 3. **Boron Trifluoride (BCl₃)**

  • B has 3 valence electrons
  • Forms three single bonds with three Cl atoms
  • Final structure: Cl-B-Cl with Cl below
  • B has only 6 electrons (incomplete octet)
  • Molecule is electron-deficient; acts as Lewis acid
  • 4. **Aluminum Chloride (AlCl₃)**

  • Al has 3 valence electrons
  • Similar to BCl₃: Al-Cl three times
  • Al has incomplete octet
  • Forms dimeric Al₂Cl₆ structure in solid state where Cl atoms bridge
  • **Why Octet Rule Fails**:

  • These light elements (Li, Be, B, Al) have fewer valence electrons available
  • Lower nuclear charge makes it harder to attract 8 electrons
  • Elements seek minimum energy state, not necessarily octet
  • Two or fewer valence electrons sufficient for stability
  • Exception 2: ODD-ELECTRON MOLECULES

    **Condition**: Molecules with odd total number of valence electrons cannot satisfy octet rule for all atoms (by definition, some atom must have unpaired electron).

    **Examples**:

    1. **Nitric Oxide (NO)**

  • N: 5 valence electrons
  • O: 6 valence electrons
  • Total: 11 electrons (odd number)
  • Cannot form structure where both achieve octets
  • Actual structure: N≡O with unpaired electron on N
  • Paramagnetic (attracted to magnetic field)
  • Important atmospheric molecule
  • 2. **Nitrogen Dioxide (NO₂)**

  • N: 5 valence electrons
  • O: 6 electrons × 2 = 12 electrons
  • Total: 17 electrons (odd)
  • Central N cannot achieve octet
  • Unpaired electron on nitrogen
  • Paramagnetic, colored brown
  • Part of air pollution (NOₓ)
  • 3. **Chlorine Dioxide (ClO₂)**

  • Cl: 7 valence electrons
  • O: 6 electrons × 2 = 12 electrons
  • Total: 19 electrons (odd)
  • Unpaired electron present
  • Used as bleaching agent
  • **Characteristics**:

  • One atom always has unpaired electron (free radical)
  • Cannot satisfy octet completely
  • Generally more reactive than paired-electron molecules
  • Show paramagnetic behavior
  • Contribute to atmospheric chemistry and pollution
  • Exception 3: EXPANDED OCTET

    **Condition**: Elements from period 3 onwards (third period and beyond) can have more than 8 valence electrons due to availability of d orbitals.

    **Why This Occurs**:

  • Third period elements and beyond have d orbitals available for bonding
  • d orbitals have slightly higher energy than valence s and p orbitals
  • Can accommodate electrons beyond the 8 from ns²np⁶
  • Allows formation of compounds with more than 4 bonds
  • **Examples**:

    1. **Phosphorus Pentafluoride (PF₅)**

  • P: 5 valence electrons
  • Forms five P-F bonds
  • Total electrons around P: 10 electrons
  • Exceeds octet
  • Trigonal bipyramidal geometry
  • 2. **Sulfur Hexafluoride (SF₆)**

  • S: 6 valence electrons
  • Forms six S-F bonds
  • Total electrons around S: 12 electrons
  • Expanded octet
  • Octahedral geometry
  • Extremely stable, used in electrical insulation
  • 3. **Sulfuric Acid (H₂SO₄)**

  • Central S atom bonded to four O atoms
  • Total electrons around S exceeds 8
  • S exhibits +6 oxidation state
  • 4. **Coordination Compounds**

  • Metal ions bonded to multiple ligands
  • Central metal atom often has 12, 16, or more electrons
  • Classic expanded octet examples
  • 5. **Xenon Compounds**

  • XeF₂: Xe with 10 electrons around it
  • XeF₄: Xe with 12 electrons around it
  • XeF₆: Xe with 14 electrons around it
  • Shows noble gases can also form compounds
  • **Mechanism**:

  • Valence electrons from neighboring atoms are accommodated in d orbitals
  • Uses hybrid orbitals involving d orbitals (sp³d, sp³d² hybridization)
  • Allows for geometries beyond tetrahedral
  • **Important Note about Sulfur**:

  • Despite having d orbitals, sulfur ALSO forms compounds with octet
  • Example: SCl₂ (sulfur dichloride)
  • In SCl₂, S has 8 electrons (octet) - no expanded octet
  • Shows that expansion is not obligatory, just possible
  • ---

    OTHER DRAWBACKS OF OCTET RULE

    Beyond the three exceptions, the octet rule has fundamental limitations:

    1. Noble Gas Compounds Formation

  • Octet rule assumes noble gases are completely inert (maximum stability)
  • Reality: Xenon and krypton form stable compounds
  • XeF₂, XeF₄, XeF₆: Xe compounds despite having full valence octet
  • KrF₂: Krypton compound formation
  • XeOF₂: Mixed oxygen-fluorine xenon compound
  • Shows octet is NOT the only stable configuration
  • 2. Does Not Explain Molecular Shape

  • Octet rule tells which atoms bond but NOT their 3D arrangement
  • Example: Water (H₂O) has octet satisfying structure H-O-H
  • But rule cannot predict bent/angular geometry
  • Carbon tetrachloride (CCl₄) structure predicts one central C, but not tetrahedral shape
  • Actual geometry determined by VSEPR theory (discussed later)
  • 3. Does Not Account for Molecular Stability/Energy

  • Rule is silent about relative stability of molecules
  • Cannot explain why N₂ is extremely stable (triple bond provides extra stability)
  • Cannot explain bond strengths and bond lengths
  • Cannot compare stability of different isomers
  • Energy considerations come from bonding theories, not octet rule
  • 4. Incomplete Theoretical Foundation

  • Based purely on electron counting, not quantum mechanics
  • Does not explain why octet is stable (filled s and p orbitals concept not addressed)
  • Cannot predict properties like polarity, reactivity, phase state
  • Purely qualitative; not quantitative about energetics
  • **Summary**: The octet rule is useful starting point for predicting bonding patterns in organic and main group chemistry but must be supplemented with other theories for complete understanding of molecular structure and properties.

    ---

    IONIC OR ELECTROVALENT BOND

    **Definition**: An ionic (electrovalent) bond is formed through electrostatic attraction between positively charged ions (cations) and negatively charged ions (anions).

    **Formation Mechanism**:

    Based on Kössel and Lewis treatment, ionic bond formation requires:

    1. **Ionization Energy (Removal of Electrons)**

    ```

    M(g) → M⁺(g) + e⁻ ΔH = IE (endothermic)

    ```

    Where M is metal atom, IE is ionization enthalpy

    Example: Na(g) → Na⁺(g) + e⁻ ; IE = 495.8 kJ/mol

    2. **Electron Gain Process (Addition of Electrons)**

    ```

    X(g) + e⁻ → X⁻(g) ΔH = -Δₑₘ (exothermic)

    ```

    Where X is non-metal atom, Δₑₘ is electron gain enthalpy

    Example: Cl(g) + e⁻ → Cl⁻(g) ; Δ_egH = -348.7 kJ/mol

    3. **Ionic Bond Formation (Electrostatic Attraction)**

    ```

    M⁺(g) + X⁻(g) → MX(s) ΔH = -Lattice Energy

    ```

    **Overall Process for NaCl**:

    ```

    Na(g) + Cl(g) → NaCl(s)

    ```

    Broken into steps:

  • Na(g) → Na⁺(g) + e⁻ ; ΔH₁ = +495.8 kJ/mol (IE)
  • Cl(g) + e⁻ → Cl⁻(g) ; ΔH₂ = -348.7 kJ/mol (electron gain)
  • Na⁺(g) + Cl⁻(g) → NaCl(s) ; ΔH₃ = -788 kJ/mol (lattice energy)
  • Overall: ΔH = 495.8 - 348.7 - 788 = -640.9 kJ/mol (exothermic, spontaneous)
  • **Conditions for Ionic Bond Formation**:

    Ionic compounds form preferentially between:

  • **Low ionization enthalpy elements** (easily lose electrons)
  • Metals, especially alkali metals (Group 1) and alkaline earth metals (Group 2)
  • IE values: Li (520), Na (495.8), K (418.8 kJ/mol) - decreases down the group
  • **High negative electron gain enthalpy elements** (readily accept electrons)
  • Non-metals, especially halogens (Group 17) and chalcogens (Group 16)
  • Cl (-348.7), F (-322), Br (-324.5 kJ/mol) - most negative values
  • **Important Note on Electron Gain Enthalpy (Δ_egH)**:

  • Can be positive or negative depending on element
  • Exothermic (negative): most non-metals, especially halogens
  • Endothermic (positive): noble gases, some metals
  • Electron affinity = -(Δ_egH); always positive value
  • **Typical Ionic Compound Characteristics**:

    1. **Composition**:

  • Cations derived from metals
  • Anions derived from non-metals
  • Exception: NH₄⁺ (ammonium) - polyatomic cation from non-metals
  • 2. **Structure**:

  • Ionic compounds exist as crystalline solids at room temperature
  • 3D arrangement of cations and anions (ionic lattice)
  • Each ion surrounded by oppositely charged ions
  • No discrete molecular units; continuous network
  • 3. **Rock Salt (NaCl) Structure**:

  • Cubic crystal system
  • Each Na⁺ surrounded by 6 Cl⁻ ions (octahedral coordination)
  • Each Cl⁻ surrounded by 6 Na⁺ ions
  • 1:1 ratio maintained throughout crystal
  • Extended 3D ionic network
  • 4. **Physical Properties**:

  • High melting and boiling points (strong electrostatic forces)
  • Hard and brittle solids
  • Conduct electricity in molten state or solution (mobile ions)
  • Most are soluble in polar solvents like water
  • Many are colorless unless metal ion is colored
  • Role of Lattice Energy in Ionic Stability

    **Lattice Energy Definition**: Energy required to completely separate one mole of an ionic solid into gaseous ions.

    **Mathematical Relationship**:

    ```

    ΔH_formation = ΔH_IE + ΔH_EG + ΔH_lattice

    ΔH_lattice is always negative (energy released)

    ```

    **Critical Point**: Even when ionization enthalpy + electron gain enthalpy = positive (energetically unfavorable), ionic compound still forms spontaneously because lattice energy is large and negative.

    **Example: NaCl Formation Analysis**

  • IE for Na: +495.8 kJ/mol
  • EG for Cl: -348.7 kJ/mol
  • Sum (IE + EG): +147.1 kJ/mol (energetically unfavorable if isolated)
  • Lattice energy for NaCl(s): -788 kJ/mol (enormously favorable)
  • Net result: ΔH_formation ≈ -640 kJ/mol (overall exothermic, stable)
  • **Why Lattice Energy Dominates**:

  • Multiple ionic interactions in crystal (not just one pair)
  • Coulomb's law: attractive force ∝ 1/r²
  • At small ionic distances in crystal, forces are very strong
  • Large coordination numbers (multiple surrounding ions) multiply interactions
  • Electrovalence vs. Oxidation State

    **Electrovalence**:

  • Equal to number of unit charges on ion
  • Na in NaCl: electrovalence = +1
  • Cl in NaCl: electrovalence = -1
  • Ca in CaF₂: electrovalence = +2
  • F in CaF₂: electrovalence = -1
  • **Not the same as oxidation state** (though usually identical for simple ionic compounds)

    ---

    COVALENT CHARACTER IN IONIC COMPOUNDS

    **Polar Ionic Bonds**:

  • Pure 100% ionic bonds are theoretical
  • Most ionic compounds have some covalent character (partial electron sharing)
  • Extent of covalent character depends on:
  • **Charge density** of cation (small, highly charged cations have high charge density)
  • **Polarizability** of anion (larger anions are more easily polarized)
  • **Fajan's Rules** (determine extent of covalent character):

    1. **Small cation size**: High charge density → more covalent character

  • Li⁺ compounds more covalent than Na⁺ compounds
  • LiI more covalent than NaI
  • 2. **Large cation charge**: Higher charge density → more covalent character

  • CuSO₄ shows covalent character due to Cu²⁺ density
  • Al₂O₃ very polarized by Al³⁺ ions
  • 3. **Large anion size**: More easily polarized → more covalent character

  • LiF (small anion) mostly ionic
  • LiI (large anion) shows significant covalent character
  • 4. **Electron configuration of cation**: d¹⁰ or d¹⁸ configurations show more covalent character

  • CuCl shows covalent character due to Cu⁺ electron configuration
  • **Practical Impact**:

  • AgCl considered ionic but shows covalent behavior
  • AgBr more covalent than AgCl (larger Br⁻)
  • AgI most covalent (large I⁻ ion)
  • ---

    COMPARISON: IONIC vs. COVALENT BONDS

    | Property | Ionic Bond | Covalent Bond |

    |----------|-----------|--------------|

    | **Formation** | Transfer of electrons | Sharing of electrons |

    | **Electron distribution** | Complete transfer | Equal or unequal sharing |

    | **Electronegativity difference** | Large (≥2.0) | Small (<2.0) |

    | **Occurrence** | Metal + Non-metal | Non-metal + Non-metal |

    | **State of matter** | Usually solid at RT | Liquid, gas, or solid |

    | **Solubility** | Often soluble in polar solvents | Often soluble in non-polar solvents

    MCQs — 10 Questions with Answers

    Q1. The Lewis symbol of phosphorus (P) has five dots around it. What is the group valence of phosphorus?

    • A. 5 only
    • B. 3 only
    • C. Both 5 and 3 ✓
    • D. 8

    Answer: C — Group valence equals either the number of dots (5) or 8 minus the number of dots (8−5=3), so both 5 and 3 are valid valences for phosphorus.

    Q2. In the formation of CaF₂, calcium achieves a stable configuration by losing electrons and fluorine by gaining electrons. Which statement is correct?

    • A. Ca loses 1 electron; each F gains 1 electron; both achieve [Ne] configuration
    • B. Ca loses 2 electrons; each F gains 1 electron; both achieve [Ne] configuration ✓
    • C. Ca loses 2 electrons; each F gains 2 electrons; Ca achieves [Ar] and F achieves [Ne]
    • D. Ca loses 1 electron; each F gains 2 electrons; both achieve [Ar] configuration

    Answer: B — Ca ([Ar]4s²) loses 2 electrons to form Ca²⁺ ([Ar]); each F ([He]2s²2p⁵) gains 1 electron to form F⁻ ([Ne]), so CaF₂ forms with one Ca²⁺ and two F⁻ ions.

    Q3. According to the Kössel-Lewis approach, which of the following is NOT a reason why atoms form chemical bonds?

    • A. To achieve noble gas electronic configuration
    • B. To lower the total energy of the system
    • C. To increase the number of orbitals available to electrons ✓
    • D. To satisfy the octet rule (or duplet for H)

    Answer: C — Increasing the number of orbitals is not a bonding motive; atoms bond to gain stability, lower energy, and achieve noble gas configurations.

    Q4. Two atoms X and Y form a molecule X₂Y. X has 6 valence electrons and Y has 4 valence electrons. How many shared electron pairs are likely formed between X and each X-Y bond, assuming both atoms achieve octet or appropriate stable configuration?

    • A. Each X-Y bond has 1 shared pair; each X-X bond has 1 shared pair
    • B. Each X-Y bond has 2 shared pairs; X-X bond has 1 shared pair
    • C. Each X-Y bond has 1 shared pair; X-X bond has 2 shared pairs ✓
    • D. All bonds are single bonds with 1 shared pair each

    Answer: C — For O₂S (analogy: X=O with 6 valence e⁻, Y=S with 4 valence e⁻), O atoms form a double bond (2 shared pairs) with S to both achieve octet, and the O-O bond would be single (1 pair) to satisfy the octet rule.

    Q5. Which of the following compounds violates the octet rule?

    • A. NaCl
    • B. H₂O
    • C. PCl₅ ✓
    • D. CO₂

    Answer: C — In PCl₅, phosphorus (group 15) has 5 valence electrons and forms 5 P-Cl bonds, resulting in 10 electrons around P, violating the octet rule; NaCl, H₂O, and CO₂ all obey the octet rule.

    Q6. Which statement best explains why the Kössel-Lewis approach successfully explains ionic compound formation but has limitations for covalent compounds?

    • A. Ionic compounds always have exactly 8 electrons on each ion; covalent compounds may have different configurations
    • B. Ionic bonding involves complete electron transfer and clear ion formation; covalent bonding involves partial sharing and is not purely based on achieving a static octet ✓
    • C. Covalent compounds do not have noble gas configurations at all
    • D. Ionic compounds are always solid; covalent compounds are liquid or gas

    Answer: B — The Kössel-Lewis model assumes electrons fully transfer (ionic) or achieve a fixed octet by sharing, but covalent bonding is dynamic and overlapping; some atoms achieve less than 8 electrons stably (e.g., BF₃ with 6 around B).

    Q7. An element M in group 13 forms a compound with chlorine. Based on Lewis approach, which statement is correct?

    • A. M forms MCl₃ with electrovalence of +2 on M
    • B. M forms MCl₃ with electrovalence of +3 on M ✓
    • C. M forms MCl with electrovalence of +1 on M
    • D. M forms MCl₂ with electrovalence of +2 on M, because it has 2 valence electrons

    Answer: B — Group 13 elements (like Al) have 3 valence electrons and lose all 3 to form covalent compounds (not purely ionic); MCl₃ forms with M having an oxidation state of +3 (electrovalence +3).

    Q8. Assertion: The octet rule explains the formation of both ionic and covalent compounds. Reason: Both ionic and covalent bonding aim to achieve noble gas electronic configurations.

    • A. Both assertion and reason are correct, and reason is the correct explanation ✓
    • B. Both assertion and reason are correct, but reason is not the correct explanation
    • C. Assertion is correct, but reason is incorrect
    • D. Both assertion and reason are incorrect

    Answer: A — The octet rule does explain both bonding types: ionic compounds achieve it through complete electron transfer, and covalent compounds achieve it through electron sharing; the underlying reason in both cases is attaining stable noble gas configurations.

    Q9. Calculate the electrovalence of S in the compound H₂S, assuming sulfur achieves an octet by gaining electrons.

    • A. +2
    • B. −2 ✓
    • C. +1
    • D. −1

    Answer: B — In H₂S, sulfur ([Ne]3s²3p⁴) gains 2 electrons to form S²⁻ and achieve [Ar]; the electrovalence is −2 (negative because it gains electrons).

    Q10. A compound XY₂ is formed where X is from group 16 and Y is from group 1. If both atoms follow the octet/duplet rule, how many total valence electrons are present in one molecule of XY₂?

    • A. 8
    • B. 10 ✓
    • C. 12
    • D. 14

    Answer: B — X (group 16) has 6 valence electrons and needs 2 more for octet = 8; each Y (group 1) has 1 valence electron and achieves duplet with 2. Total = 6 (from X) + 1 (from first Y) + 1 (from second Y) = 8 in octet count, but counting all valence electrons: 6 + 1 + 1 = 8 for bonding; however, the compound has 6 (X) + 2 + 2 (Y₂) = 10 total valence electrons in the molecule.

    Flashcards

    What is a chemical bond?

    The attractive force holding atoms, ions, or other constituents together in a chemical species.

    Define the octet rule.

    Atoms combine by transferring or sharing valence electrons to achieve eight electrons in their outer shell, like noble gases.

    What are Lewis symbols and what do they show?

    Simple notations representing an element's symbol with dots around it; the number of dots equals the number of valence electrons.

    What is the relationship between group number and Lewis symbol dots for main-group elements?

    The number of dots equals the group number (e.g., Group 17 halogens have 7 dots).

    What is electrovalence?

    The number of unit charges (positive or negative) on an ion formed by electron transfer.

    How do Na and Cl achieve stable configurations in NaCl formation?

    Na transfers one electron to Cl; Na becomes Na⁺ ([Ne]) and Cl becomes Cl⁻ ([Ar]).

    What is the key difference between ionic and covalent bonding according to Lewis?

    Ionic bonding involves transfer of electrons between atoms; covalent bonding involves sharing of electron pairs.

    Name one limitation of the octet rule.

    Compounds like PCl₅ and BF₃ have central atoms with fewer than eight valence electrons, violating the octet rule.

    Who refined Lewis' theory in 1919 and introduced what key term?

    Langmuir refined Lewis' theory and introduced the term 'covalent bond' to describe shared electron pairs.

    How does Cl₂ formation demonstrate the covalent bond concept?

    Each Cl atom ([Ne]3s²3p⁵) contributes one electron to form a shared pair, allowing both atoms to achieve the [Ar] octet.

    Important Board Questions

    Define chemical bonding. Why do atoms combine to form molecules? [2 marks]

    Define as an attractive force between constituents. State that every system tends toward maximum stability by lowering energy, and bonding is nature's mechanism to achieve this stable state.

    Explain the formation of NaCl using the Kössel-Lewis approach. Show how both sodium and chlorine achieve stable configurations and calculate their electrovalences. [5 marks]

    Write electronic configurations: Na [Ne]3s¹ loses 1 e⁻ to form Na⁺[Ne]; Cl [Ne]3s²3p⁵ gains 1 e⁻ to form Cl⁻[Ar]. State electrovalence of Na is +1 (charge magnitude) and Cl is −1. Explain that electrostatic attraction stabilizes the ionic compound NaCl. Show both achieve noble gas octets.

    State the octet rule and explain its limitations with specific examples. Why does the Kössel-Lewis model fail for some covalent compounds, and what does this reveal about chemical bonding? [6 marks]

    Octet rule: atoms achieve 8 electrons in outer shell (2 for He/H). Limitations: PCl₅ (P has 10 e⁻), BF₃ (B has 6 e⁻), SF₆ (S has 12 e⁻), etc. Explain that the static octet model assumes bonding electrons arrange in a fixed cubical pattern (Lewis' model), but real covalent bonding involves dynamic electron sharing and molecular orbital overlap. This shows bonding is more complex than simple electron transfer/sharing for octet; it involves orbital interactions and variable electron densities.

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