Often physics talks of Vibration of particles ( mass)

What is the current idea of this vibration?

Is the particle vibrating in a recipricating fashion as in a plane like too and fro or does the particle vibrate by eccentric rotation?

Or does it shrink and expand uniformaly?

Would the vibration set up a gravity wave or pulse? It is vibrating in a gravity field after all.

a simple drawing attachment of the three possibilities. Are there any others?

What type of vibration are u talking about? Do u mean vibration due to thermal energy? If so there is a link below:

http://www.towson.edu/~debye/chem345/worksheets/345_molec_vibrations.html

If u are talking about particles like electrons, I dont really think they ever vibrate as such. This is yet another quantum analogy which makes it helpful to visualise.

thanks John, thats a excellent link.

certainly helps with the question.