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Bond Strength & Length: Relationship between Bond Order, Atomic Radius, & Interactions, Study Guides, Projects, Research of Chemistry

The concepts of bond strengths and lengths, focusing on the impact of bond order, atomic radius, and lone pairs on neighboring atoms. It covers topics such as bond enthalpy, average bond enthalpies, and the relationship between bond length and bond strength. The document also includes an example of estimating the standard enthalpy of a reaction and calculating bond lengths using lewis structures and covalent radii.

Typology: Study Guides, Projects, Research

2021/2022

Uploaded on 09/12/2022

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The Strengths and Lengths of Bonds
bond strengths and lengths depend largely on the bond
order (single, double or triple) and have similar values
in different molecules
9.6 Bond Strengths
Bond enthalpy (HB) the enthalpy change for
the dissociation of one mole bonds from
molecules in the gas phase
A-B(g) A(g) + B(g) Ho= HB> 0
HBis a measure of the strength and stability of
chemical bonds
Large HBstronger bonds
Bond strength (HB)
increases with increasing
the bond order
:NN: :O=O:
:FF:
Fig. 9.17
Bond strength (HB)
increases as the atomic
radius of the bonded atoms
decreases
Lone pairs on neighboring
atoms decrease bond strength
(HB)
HH436 kJ/mol
:FF: 158 kJ/mol
Fig. 9.18
9.7 Bond Strengths in Polyatomic
Molecules
The strength of the bond between a given pair of
atoms varies slightly in different molecules
Average bond enthalpies (HB) averaged
over many compounds
Average bond enthalpies can be used to estimate
the enthalpy changes of reactions in the gas
phase (only approximate values)
Ho(reaction) = HB(broken) -HB(formed)
energy is absorbed (+) to break the bonds of the reactants
and emitted (-) during forming the bonds of the products
Fig. 9.22
pf2

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The Strengths and Lengths of Bonds

  • bond strengths and lengths depend largely on the bond order (single, double or triple) and have similar values in different molecules

9.6 Bond Strengths

  • Bond enthalpy ( ∆∆ HB ) – the enthalpy change for the dissociation of one mole bonds from molecules in the gas phase A-B(g) →→ A(g) + B(g) ∆∆ Ho^ = ∆∆ HB > 0
  • ∆∆ HB is a measure of the strength and stability of chemical bonds Large ∆∆ HB ⇔ stronger bonds - Bond strength ( ∆∆ HB ) increases with increasing the bond order

:N≡≡N: :O=O:

:F–F:

Fig. 9.

  • Bond strength ( ∆∆ HB ) increases as the atomic radius of the bonded atoms decreases
  • Lone pairs on neighboring atoms decrease bond strength ( ∆∆ HB )

H–H 436 kJ/mol

:F–F: 158 kJ/mol

Fig. 9.

9.7 Bond Strengths in Polyatomic

Molecules

  • The strength of the bond between a given pair of atoms varies slightly in different molecules
  • Average bond enthalpies ( ∆∆ HB ) – averaged over many compounds
  • Average bond enthalpies can be used to estimate the enthalpy changes of reactions in the gas phase (only approximate values) ∆ ∆ Ho (reaction) = ∆∆ HB (broken) - ∆∆ HB (formed)
  • energy is absorbed (+) to break the bonds of the reactants and emitted (-) during forming the bonds of the products

Fig. 9.

Example: Estimate the standard enthalpy of the

reaction CH 4 (g) + 2F 2 (g) →→ CH 2 F 2 (g) + 2HF(g)

  1. Lewis structures are needed to get the bond order
  2. bonds broken (reactants):

4 C–H (412 kJ/mol), 2 F–F (158 kJ/mol)

  1. bonds formed (products):

2 C–H (412 kJ/mol), 2 C–F (484 kJ/mol), 2 H–F (565 kJ/mol) ∆∆ Ho^ = ∆∆ HB (broken) - ∆∆ HB (formed) = [4××412 + 2 ××158] - [2××412 + 2××484 + 2××565] = -958 kJ

(this value is only an estimate, the exact value can be calculated using ∆∆ Hfo^ data)

9.8 Bond Lengths

  • Bond length – the distance between the centers of two bonded atoms
  • Bond lengths decrease with increasing the bond order
  • Bond lengths increase with increasing the size of the bonded atoms

Fig. 9.

N≡≡N O=O

F–F

110 pm 121 pm 142 pm

  • In general shorter bonds are stronger
    • Covalent radii of atoms – contributions of individual atoms to the lengths of covalent bonds - average values are tabulated - values depend on the bond order
    • Bond lengths equal the sum of the covalent radii of the bonded atoms Example: Estimate the bond lengths in HCN
    1. Lewis structure: H–C≡≡N:
    2. Covalent radii: –H (37 pm), –C (77 pm), ≡≡C (60 pm), ≡≡N (55 pm)
    3. r(H–C) = 37+77=114pm; r(C≡≡N) = 60+55=115pm