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− (partial negative) and δ+ (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+ of the instantaneous dipole and the δ− 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+ of the left and the δ− 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.
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=constant
- Coulombic interaction qualitatively: F∝r2q<em>1q</em>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.