The Uncertainty Principle and wave-particle duality do not state atoms don't exist. You simply don't understand them.
Explain them then.
The uncertainty principle states a quantum particle's position and momentum cannot be known at the same time. Wave-Particle Duality is the theory that particles can also have a wave function and even behave like a wave. It can be related to the UP.
Now here is my picture I post every once in awhile. You will see set wavelengths for different elements. (They are not the only one for each element, just the one I check for.) Those wavelengths come from an electron dropping in energy state. Those states are quantized. Those states can be the same or close for different elements but since elements lead to different sized atoms, there will be states that are different for each element. This is do to atoms
generally getting bigger as you move down in rows of the periodic table but smaller as you move across in columns. As you move across in columns the atom gets smaller because the additional proton pulls in the electron cloud in some.
Here is the picture. If atoms didn't exist, this picture would not exist.
