In which state of matter do particles within a substance vibrate around fixed positions?

In a plasma state, particles are highly energized and not bound to fixed positions, allowing them to move freely. Plasma consists of ionized gases with enough energy to overcome the attractive forces between particles, resulting in a state where particles are dispersed and can flow freely, unlike the fixed position of particles in solids.

While particles in liquids can move past one another, they do not vibrate around fixed positions like those in solids. Instead, they exhibit fluidity, allowing liquids to take the shape of their container while still maintaining a definite volume. This freedom of movement distinguishes liquids from solids.

Gas particles are in constant, rapid motion and do not vibrate around fixed positions at all; they have enough energy to break free from any intermolecular attractions. Gases expand to fill their container and have no definite shape or volume, making them fundamentally different from solids.