[junbumkim]

From what I understand, at the basic level, melting or boiling point depends on intermolecular force (force between molecules).

And there are three kinds of intermolecular force
1) Dipole Dipole attraction between polar molecules
2) Hydrogen Bonding resulting in attraction between molecules
3) London Dispersion Forces between non-polar molecules.

And from what I have read intermolecular force resulting from hydrogent boding is the greatest of all, then Dipole Diple attraction.

Then how is it that LiCl has higher boiling point than HF?

Doesn't HF have hydrogen bonding thus resulting in greater intermolecular force between HF molecules than LiCl ?

[enahs]

Hydrogen bonding is the strongest of the forces you listed, but there are two other.

Covalent bonding and Ionic Bonding.
That is, partial sharing of an electron or nearly complete sharing. Though Covalent bonding would be considered an intramolecular force, it does have an impact on many solids.

Look over this site, I did a quick search and the a even quicker exam of the site, it looks to explain things fairly well.
http://www.science.uwaterloo.ca/~cchieh/cact/c123/intermol.html

If that does not explain it for you with a little thinking by applying the knowledge you learn there, then by all means ask again!