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I'm studying atomic spectras and got puzzled about light-quantization. I'll expose my effort to understand it so far.

Blackbody radiation

Around the year $1900$ Planck explained blackbody radiation including a term of the form $A=k\,\nu$ which is reasonable because of the experimental results: radiating energy had been shown to decrease with frequency. If I'm not mistaken $k$ was a constant obtained by fitting the experimental data (then called Planck's constant $h$).

A couple of years later it comes the photoelectric effect, which was explained just using Planck's idea and little more. Everyone knows the formula so I won't paste it here.

Question

Does photoelectric effect suggest that light can be thought as particle? How?

I understand perfectly $E=h\,\nu$ and that atoms have quantized energy levels, but is light energy quantized?

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The formula $E=h\nu$ implies that light is quantised. Planck introduced the quantum in 1900 as a heuristic trick Then Einstein's 1905 explanation of the photoelectric effect proved that the light quantum was physical.

The reason is that the number of electrons emitted is proportional to the energy of the irradiating light divided by $h\nu$. The electron kinetic energy however increases with frequency. This means that each electron is emitted by a discrete process in which a single energy quantum $h\nu$ is absorbed.

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