London Dispersion Forces Notes (Transcript-Based)

London dispersion forces: core idea

  • London dispersion forces are attractive interactions that arise from instantaneous dipoles in one species and induced dipoles in a neighboring species.
  • They are present between all molecules and neutral species.
  • These forces help hold atoms together at low temperatures.

Mechanism: temporary dipoles and induced dipoles

  • A molecule on the left can have a temporary dipole (instantaneous uneven distribution of electrons).
  • We denote partial charges as δ\delta^- (partial negative) and δ+\delta^+ (partial positive).
  • The adjacent molecule experiences an induced dipole due to the fluctuating electron density of the first molecule.
  • There is an attractive force between the δ+\delta^+ of the instantaneous dipole and the δ\delta^- end of the induced dipole in the neighboring molecule.
  • This attractive interaction is what we call London dispersion forces.

Representations and examples

  • Another way to represent it: an instantaneous uneven distribution of electrons in a (nonpolar) atom or molecule induces a dipole in a neighboring atom or molecule (e.g., helium–helium interaction).
  • In the example with helium, the left atom’s instantaneous dipole induces a dipole in the right atom, resulting in an attractive force between the δ+\delta^+ of the left and the δ\delta^- of the right.
  • A top-view description: the right helium atom can have a temporary dipole; this induced dipole interacts with the left atom’s charges, producing an attraction between the two species.

Practice question and answer

  • Question summary: an instantaneous uneven distribution of electrons in a helium atom interacts with a nonpolar helium atom, leading to an induced dipole in the neighboring helium atom.
  • Conclusion: an induced dipole exists on the neighboring helium atom.
  • How many molecules must be present for London dispersion forces to exist?
  • Answer: C
    • Rationale: you must have at least two atoms or molecules in an electrostatic field for an interaction to occur.

Energetics: kinetic and potential energy relationships

  • As atoms come together, the kinetic energy increases; the potential energy decreases.
  • The attractive Coulombic interaction helps the atoms approach because it lowers potential energy as the dipoles interact.
  • When they come even closer, the electron clouds begin to overlap, leading to repulsion and a change in the energy balance.
  • The statement from the scenario: as the atoms approach, kinetic energy increases and potential energy decreases; as they reach a closest approach, kinetic energy begins to decrease as they stop and start moving apart.
  • If the atoms get very close, electron-electron repulsion raises potential energy and limits further approach.
  • In a closed system, the total energy remains constant:Etotal=KE+PE=constant.E_{\text{total}} = KE + PE = \text{constant}.

Simulation: two electron clouds interacting

  • The simulation examines the relationship between kinetic energy and potential energy as two electron clouds interact.
  • Initially, attractive Coulombic interactions cause the atoms to approach due to London dispersion forces.
  • As the atoms get closer, the electron clouds begin to overlap, causing repulsion and a rise in potential energy.
  • The kinetic energy initially increases during approach (as potential energy decreases), then starts to decrease as the distance reduces further and the system moves toward separation.
  • If left in a closed system, the total energy remains constant and the motion may oscillate.
  • Real systems are not perfectly isolated; the simulation’s closed-system assumption is a simplification.

Key equations and concepts (LaTeX)

  • Energy conservation in a closed system: Etotal=KE+PE=constantE_{\text{total}} = KE + PE = \text{constant}
  • Coulombic interaction qualitatively: Fq<em>1q</em>2r2F \propto \frac{q<em>1 q</em>2}{r^2}
  • Conceptual representation: the interaction involves a positive end of one dipole attracting the negative end of the neighboring induced dipole.
  • Relationship during approach: when distance decreases due to attraction, \Delta KE > 0\quad\Rightarrow\quad \Delta PE < 0 to conserve total energy.

Real-world relevance and limitations

  • London dispersion forces are universal, occurring in all atoms and molecules, including noble gases like helium in transient interactions.
  • They contribute to the cohesion of nonpolar molecules and can influence physical properties such as boiling/condensation behavior at low temperatures.
  • The idealized closed-system simulation is a simplification; in real environments, energy exchange with surroundings occurs and systems are not perfectly isolated.

Connections to foundational principles

  • Links to electrostatics: interactions between partial charges and dipoles.
  • Van der Waals interactions: London dispersion is a component.
  • Conceptual bridge to energy landscapes: balancing attraction (lower PE) and repulsion (higher PE) as distance changes, with KE adapting accordingly.