How do we know the atomic number of an element?

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Mass spectrometry has been pivotal in determining the number of electrons in neutral atoms, establishing that in such atoms, the number of protons equals the number of electrons, thus linking atomic number directly to electron count. The discussion highlights the historical significance of discovering isotopes, suggesting it was a groundbreaking revelation that may not be adequately recognized in historical narratives or scientific folklore. The conversation invites further exploration of resources that detail the historical context and impact of these scientific advancements, particularly in relation to mass spectrometry.
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Here's what I know: Scientists used mass spectrometry to figure out the number of electrons in a neutral atom of the element. We know that if an atom has a neutral charge, the number of protons = the number of electrons - therefore, the atomic number = the number of electrons.

Would anyone care to explain the process?
 
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Interesting historical question which others may answer better. Perhaps here http://en.wikipedia.org/wiki/History_of_mass_spectrometry will help.

This discovery of isotopes must surely have been a revelation, and a resolution of a suspicion or conundrum at the time, yet somehow it does not come over in handed-down historical legend or scientists' folklore or pantheons as one of the more shattering discoveries of the 20th century. I wonder if there is a history book that does justice to how it was seen in its time?
 
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