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Why Hydrogen bonds are stronger than dipole-dipole interactions?

Dipole-dipole interactions occur in polar molecules where the difference in electronegativity between the combining atoms creates positive and negative dipoles. These opposite poles align and result in electrostatic attraction throughout the polar medium. So, naturally, the strength of the interaction would depend on Coulomb’s law - the higher the magnitude of the charges and the lesser the distance between those charges, the stronger the dipole-dipole attractive interaction.

Are ions a type of atom?

Atom, the omnipresent component that builds up all the stuff the universe is made of, has its identity tied to the tiny, sub-atomic particle- the proton(s). The proton number decides the type of atom; however, the atom’s reactivity is determined by an outer-nuclear component- the electrons.

In nuclear reactions, the proton number can change so that an atom's identity also changes. However, only the electron count changes in organic chemical reactions without affecting an atom's identity.