Intramolecular Force & Potential Energy (College Board AP® Chemistry)

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Potential Energy & Interatomic Distance

  • A potential energy diagram represents the potential energy as a function of internuclear distance

    • The distance at which the potential energy is at a minimum is the bond length of the covalent bond

    • The difference between the minimum potential energy and zero is the bond energy, the amount of energy required to break the covalent bond

Potential Energy Diagram

potential-energy-diagram-hydrogen

Potential energy diagram of hydrogen gas (H2) showing a minimum potential energy of -436 kJ/mol which corresponds to a bond length of 74 pm

  • When two atoms are far away

    • There is little attraction between the positively charged nucleus of one atom and the negatively charged electrons of the other atom

    • The potential energy is near zero

  • When two atoms are very close

    • The two positively charged nuclei and the two negatively charged electron clouds strongly repel one another

    • The potential energy is very high

  • When two atoms form a stable covalent bond

    • The attractive and repulsive forces between the two atoms are balanced

    • The potential energy is at a minimum.

Examiner Tip

The minimum potential energy will always be a negative value. Bond energy is always a positive value as breaking chemical bonds is an endothermic process. 

Factors Influencing Bond Length

  • As atomic radius increases, bond length increases

    • Bond length is typically reported in units of picometers (pm)

    • A picometer is 1 x 10-12m

Bond length in halogens

atomic-radius-and-bond-length

Diagram showing that the bond length of diatomic halogen molecules increases with increasing atomic radius

  • Bond order indicates the number of electron pairs that are shared between two atoms

  • As bond order increases, bond length decreases while bond energy increases

Bond

Bond Order

Number of shared electron pairs

Bond length (pm)

Bond energy (kJ/mol)

C-C

1

1

154

347

C=C

2

2

133

620

C☰C

3

3

120

812

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Fallon

Author: Fallon

Expertise: Chemistry Content Creator

Fallon obtained a double major in chemistry and secondary education, and after graduating she taught Chemistry and Organic Chemistry for 7 years. Fallon’s passion for creating engaging classroom materials led her to pursue a career in content development. For over 3 years, Fallon has created videos, review materials, and practice questions for AP Chemistry, IGCSE, and other international exam boards.