Potential Energy Curve of H2: Attractive and Repulsive Forces

Chemistry · Chemical Bonding · NEET

When two hydrogen atoms come close, new attractive forces (each nucleus pulling the other atom's electron) pull them together, so the potential energy goes down. At the same time repulsive forces (nucleus–nucleus and electron–electron) push them apart. At a distance of 74 pm, attraction exactly balances repulsion, the energy is lowest (minimum), and a stable H2 bond forms. Memory hook: "Lowest valley = bond made. 74 pm is where H2 is happiest."
P.E.Internuclear distance074 pmminimum energy(bond formed)repulsiondominatesatoms far apartattraction lowers energy
Potential energy vs internuclear distance for two H atoms: energy falls as attraction dominates, reaches a minimum at 74 pm (bond formed), then rises steeply as nucleus-nucleus repulsion takes over.

Your doubts, answered

Why does the potential energy DECREASE as two H atoms come closer?

When the two atoms are far apart, they do not feel each other, so energy is taken as zero. As they come closer, NEW attractive forces start: the nucleus of atom A pulls the electron of atom B, and the nucleus of B pulls the electron of A. These pulls bring the atoms together. Experimentally, this new attraction is stronger than the new repulsion, so the system becomes more stable and the potential energy goes DOWN (becomes negative).

What exactly are the attractive and repulsive forces in H2?

There are TWO attractive forces: (1) nucleus of A with electron of B, and (2) nucleus of B with electron of A. There are TWO repulsive forces: (1) nucleus of A with nucleus of B, and (2) electron of A with electron of B. Simple rule: opposite charges attract (nucleus–electron), like charges repel (nucleus–nucleus, electron–electron). Attraction pulls atoms together; repulsion pushes them apart.

What does the lowest point (minimum) of the curve mean?

The minimum is the most stable point. Here the net attraction exactly balances the net repulsion, so there is no more pull to move closer or apart. The potential energy is the lowest possible. At this distance the two H atoms are said to be bonded and a stable H2 molecule is formed. For H2 this happens at 74 pm, which is the bond length.

Why is 74 pm called the bond length of H2?

Bond length is the equilibrium distance between the nuclei of the two bonded atoms. For H2 the energy is minimum at an internuclear distance of 74 pm, so this is the natural resting distance of the two nuclei. That is why 74 pm is the bond length of H2. The depth of the valley (about 435.8 kJ/mol) is the bond enthalpy, the energy released.

Why does the energy go UP again if the atoms get even closer than 74 pm?

If you push the atoms closer than 74 pm, the two positive nuclei come very near each other and the nucleus–nucleus repulsion grows very fast. The electron–electron repulsion also rises. Now repulsion beats attraction, so the potential energy rises steeply. This is why the curve turns upward on the left side of the minimum, forming a valley shape.

Is forming the H2 bond exothermic or endothermic?

Bond formation is EXOTHERMIC (energy is released). As the atoms fall into the energy valley, the system loses energy to the surroundings, equal to the depth of the well (435.8 kJ/mol for H2). To break the bond you must put the SAME energy back, so bond breaking is endothermic. NEET tip: lower energy means more stable, and a stable molecule releases energy when it forms.

⚠️ The NEET trap
The potential energy of H2 is minimum when the two nuclei touch (distance = 0), because attraction is maximum there.
The minimum energy is at 74 pm, NOT at zero distance. Below 74 pm the nucleus–nucleus repulsion shoots up and energy RISES again. The balance point (attraction = repulsion) sits at 74 pm.
🧠 Minimum energy is a VALLEY at 74 pm, not the bottomless pit at zero distance. Repulsion always stops the atoms from merging.

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Frequently asked

What is the bond length and bond enthalpy of H2?

The bond length of H2 is 74 pm (the internuclear distance at minimum energy) and its bond dissociation enthalpy is about 435.8 kJ/mol, which is the depth of the energy well.

Which theory explains the potential energy curve of H2?

Valence Bond Theory (VBT), given by Heitler and London, explains it. It considers the overlap of the 1s orbitals of the two H atoms and the balance of attractive and repulsive forces as they approach.

Does a lower potential energy mean a more stable molecule?

Yes. Lower potential energy means greater stability. The H2 molecule at the minimum of the curve is more stable than two separate H atoms, which is why energy is released when the bond forms.

What happens to the curve on the right side of the minimum?

To the right (larger distance), the atoms feel weaker attraction, so energy slowly rises back toward zero. Far apart, the atoms are independent and the energy is zero (no bond).