Structure determination is a process of determining what is and what isn't present in a molecule. Each technique below answers a different question; which bonds are present (or not), how heavy the molecule is, how many hydrogens sit in each environment, and how many distinct carbons make up the skeleton? Watch the animations, then work through spectra problems to become comfortable with the ideas.
Infrared light makes bonds stretch and bend. A bond absorbs only when the light matches its natural vibrational frequency, so an IR spectrum is a list of the bonds a molecule contains. Read the region above 1500 cm⁻¹ for functional groups; below it, the fingerprint region is best used for comparison against a known sample.
More detail on IR spectroscopy here
Practice problems on IR Spectroscopy here
A mass spectrometer ionises the molecule, then sorts the resulting positively charge species by mass-to-charge ratio. The molecular ion gives you the molecular weight; the fragments tell you how the skeleton comes apart, which is often more informative than the mass itself.
More information on Mass Spectrometry here
Practice problems on Mass Spectrometry here
A ¹H NMR spectrum carries four pieces of information: chemical shift tells you the electronic environment, integration counts the hydrogens, multiplicity counts the neighbours, and the coupling constant describes the geometry between them. Used together they usually settle the structure.
More on Proton NMR here
Practice problems on Proton NMR here
Only about 1% of carbon is the NMR-active ¹³C isotope, so signals are weak and carbon–carbon coupling is not observed. Proton decoupling collapses each carbon to a single line, which makes ¹³C NMR a clean count of the unique carbons in the skeleton — and a direct read on molecular symmetry.
More on Carbon NMR here
Practice problems on Carbon NMR here