Calculate bond dissociation energies and apply Morse potential equations to predict molecular stability. Explore bond length-energy correlations, hybridization effects, and bond order relationships from single σ bonds to triple bonds. Quantitative analysis of C-C, C=O, and N≡N systems using R computational tools in CoCalc.
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Advanced Chemical Bonding with R in CoCalc - Chapter 3
Bond Energy and Molecular Stability
This notebook contains Chapter 3 from the main Advanced Chemical Bonding with R in CoCalc notebook.
For the complete course, please refer to the main notebook: Advanced Chemical Bonding with R in CoCalc.ipynb
Chapter 3: Bond Energy and Molecular Stability
3.1 Bond Energy Fundamentals
Bond energy (or bond dissociation energy) is the energy required to break one mole of bonds in the gas phase:
A-B(g) → A(g) + B(g) ΔH = Bond Energy
3.2 Trends in Bond Energy
Bond Order: Triple > Double > Single bonds
Atomic Size: Smaller atoms form stronger bonds
Electronegativity: Moderate differences optimize bond strength
Hybridization: sp > sp² > sp³ bond strength
3.3 Bond Length-Energy Relationship
Morse Potential: E(r) = De[1 - e^(-a(r-re))]²
Where:
De = dissociation energy
re = equilibrium bond length
a = controls curve steepness
📈 Bond Length - Energy Correlation: -0.393
📈 Bond Order - Energy Correlation: 0.936
Strong negative correlation confirms quantum mechanical predictions!
Bond Order Analysis:
# A tibble: 3 × 4
bond_order avg_energy avg_length count
<dbl> <dbl> <dbl> <int>
1 1 345. 129. 9
2 2 617. 126 4
3 3 936. 115 4
From Bond Energy and Molecular Stability to VSEPR Theory and Molecular Geometry
We’ve explored bond energy and molecular stability, gaining insights into how these fundamental concepts govern molecular interactions and chemical behavior.
But how do these principles extend to VSEPR theory and molecular geometry? In Chapter 4, you'll see how the ideas we’ve covered underpin our understanding of three-dimensional molecular shapes and real-world chemical properties.
Journey Forward
The move from Chapter 3 to Chapter 4 is a natural progression in your chemical education. The foundational knowledge gained here will illuminate the advanced concepts ahead.