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Einstein not only had nothing to do with suggesting a wave nature of electrons, he was VERY vocal in his lifelong opposition to the concept of electron waves being fundamental to their existence. He agreed they SEEMED to exhibit wave-like characteristics, he simply thought a more fundamental explanation would show this was simply an "approximation" to reality.

Louis de Broglie, in his 1924 thesis, first proposed the idea that electrons had a wave nature, with a wavelength dependent on a particle's momenutum. Experiments in 1927 showed that he was correct.

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