P and S waves are body waves (they go through objects). Rayleigh and Love waves travel on the surface of the Earth.
P waves arrive first. S waves arrive shortly thereafter. Surface waves arrive last.
P waves are compressional (motion in the direction of propagation), S waves are transverse (motion perpendicular to the direction of propagation), Love and Rayleigh waves are transverse waves as well.
Love and Rayleigh Waves do the most damage. Love waves are the most damaging typically.
Liquids do not transmit S-waves. P waves can travel through all materials
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