I would say that after a century of continuous successes, the theory of atoms was very well accepted by everyone.
The matter of the existence of the atoms has become pretty much settled in 1865, when Johann Josef Loschmidt was the first who determined the size and mass of the atoms, and then his results were well used by others, like Maxwell and Stoney (who determined the electric charge of the atoms).
Nevertheless, the improved theory due to Einstein has lead to more precise results about the atom properties.
The matter of the existence of the atoms has become pretty much settled in 1865, when Johann Josef Loschmidt was the first who determined the size and mass of the atoms, and then his results were well used by others, like Maxwell and Stoney (who determined the electric charge of the atoms).
Nevertheless, the improved theory due to Einstein has lead to more precise results about the atom properties.