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Vander Waals London Dispersion Forces (Nonpolar-Nonpolar Interactions)

Atoms, molecules, or ions interact by attraction or repulsion. Attraction occurs between opposite charges, and repulsion occurs when charges are the same. Therefore, most interactions are controlled by charges.

Understanding interactions are easier when the charges are obvious, like in ions or polar molecules. However, interactions in uncharged, nonpolar molecules occur when the charges originate due to the constant fluctuations of the electrons. The shifting electrons’ position in the outer nuclear region creates polarity, leading to an attractive universal force, the London dispersion force.

electron motion in london dispersion forces

The London dispersion force is the weakest yet most significant Vander Waal forces' subtype, common to all atoms and molecules; others are Debye and Keesom forces.

Most molecules contain the London dispersion forces in combination with the other prominent forces (dipole, ionic, etc.). So, to study the London Dispersion Forces in isolation- hydrocarbons, homonuclear molecules, or inert gases are used. Such atoms and molecules are essentially nonpolar, therefore, uncontaminated from other interactions arising due to the presence of functional groups or innate dipoles.

A few examples of nonpolar atoms or molecules are- CH4, H2, I2, hydrocarbon molecules (alkanes, alkenes, alkynes), and noble gas atoms (He, Ne, Ar).

Occurrence of London Dispersion Forces in nonpolar molecules

The simplest example used here to understand the London dispersion force is hydrogen (H2), a homonuclear diatomic nonpolar molecule.

H2 is a light gas whose compression into hydrogen cylinders is only possible if it associates by forming close dimers.

example of london dispersion

 

In an H2 molecule, there is constant motion and rapid fluctuations in the electron's positions.

 

What does London Dispersion force depend on

Therefore, at any given instant, the molecule can have a situation where most electrons concentrate on one side, creating a temporary negative pole. And the area wherein electron concentration is insufficient gets a positive pole. 

What causes london dispersion forces

The temporary dipole creation in one molecule also urges the nearby molecules of H2 to form temporary poles by creating peer pressure. 

They align themselves accordingly and show an attractive induced (forced) intermolecular interaction. So, a few individual molecules’ behavior disperse into a group activity.

alignment of molecules induced dipole

This induced intermolecular attractive interaction type is known as the London Dispersive Force, named after physicist Fritz London. It is also known as an induced dipole-induced dipole type of interaction.

Importance of London Dispersion Force in liquefaction of gas

The attractive interaction due to the London Dispersion Forces brings otherwise isolated atoms, and molecules close so that they change state from gas to liquid to solid on the application of lower temperature and high pressure, a process known as liquefaction.

The conversions are usually done under a vacuum condition that discourages any interference from the air or other solvents. The application of vacuum highly favours close atomic contact and liquefaction after that.

Under such conditions, the molecule's kinetic energy decreases, reducing its mobility. For example, in the case of liquefaction of H2, the gas must be cooled to a very low temperature of -252.87 oC, which slows down its kinetic energy and converts it to a liquid state.

Similarly, neutral atoms like He, Ne, Ar, and butane can also be compressed and liquefied to be sold as Helium/Argon/ Nitrogen or as LPG gas cylinders for home and commercial purposes.

London Dispersion Forces– Role of atomic size

Due to the intermolecular London dispersive type of attraction, polyatomic nonpolar molecules like CH4, SiH4, and GeH4 can condense to the liquid and the solid-state under low temperature and high-pressure conditions.

However, the strength of these interactions is dependent on the atomic size

The larger, heavier atoms of polyatomic molecules have more electron orbitals, contributing to their size. Here, the electrons are dispersed over a larger surface area and can be easily influenced to arrange themselves into opposite poles, thereby showing significant interactions. However, the nuclear charge firmly holds fewer outer electrons in smaller atoms, decreasing its ability to form poles.

As seen from their boiling point values, the greater attraction in the molecules with bigger atoms translates to these compact clusters of molecules requiring more energy to break their interactions, raising their melting and boiling point.

For example, 

Vander Waal’s strength -    CH4< SiH4< GeH4 since, size of C<Si<Ge.

Boiling Point-     112K <161K <183K

How is the strength of London dispersion forces related to the number of electrons?

Similar effect of the attraction on size is seen in the halogen series. Comparing the halogen series (F2, Cl2, Br2, I2) with their sizes, it is observed that the nonpolar, larger I2 interacts strongly and therefore is solid compared to F2 or Cl2.

I2 atoms, due to their large size and more electrons, can cause significant distortion in their electron cloud, creating greater intermolecular attractive interactions compared to the small atoms of F2 or Cl2.

Where are London dispersion forces strongest?

Therefore, the melting point of I2 is significantly higher than F2 and Cl2.

Van der Waals Strength:    I2>Br2>Cl2>F2

Melting point:        113.7oC> -7.2oC> -101.5 oC> -219.67 o

London Dispersion Forces– Role of atomic shape

In nonpolar hydrocarbon molecules of alkanes, the shape of the molecules determines the strength of the interactions.

A long linear hydrocarbon molecule can disperse electrons over a larger region than compact spherical nonpolar hydrocarbons.

The scattered electrons are like hands grasping the nearby molecules and packing tightly, allowing for stronger attractive molecular interactions. These interactions also raise the melting and the boiling point.

relation of london dispersion forces with size and shape

For example, comparing the linear n-pentane with spherical neo-pentane, with nearly the same number of Carbon-Hydrogen atoms (C:H ratio, 5C:12H), the boiling point of n-pentane is 36.2 o C, and that of neo-pentane is 9.5 o C.

Therefore, the order of Vander Waal’s strengths is - 

CH3-C(CH3)2-CH3 < CH3-CH2-CH2-CH2-CH3

 

 


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About the chapter - Intermolecular Forces

Intermolecular forces determine the strength, properties, and size of atoms. The chapter thoroughly covers some of organic chemistry's most potent intermolecular forces - Ion-dipole, Ion-Induced Dipole, Vander Waals (Debye, Keesom, London), and Hydrogen Bonds.

We also expand on hydrogen bonds, discussing the donor and acceptors of hydrogen bonds, their types, factors affecting hydrogen bond strength, the impact of hydrogen bonding on the physical properties, and ending the chapter with a step-by-step tutorial on calculating the number of hydrogen bonds.

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