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When things are very hot like inside the the sun the electrons are flying around so fast that they can't join up with the nucleii and they form a plasma (the fourth state of matter) as things cool down a bit the electrond just stick to the nucleii but they are so lively that they tend to buzz around outside. This is because like faries they are very light and you cant be very sure where they are. The nucleii are not like candy floss they are pretty hard and crunchy and the protons and neutrons are stuck together with velcro.
Would it not be better to say that nuclei are made when protons, neutrons and other nuclei fuse together under very extreme conditions? Electrons are so energetic under these conditions that they can't stay bound to any (positively charged) nuclei. But, once the conditions cool down, these nuclei attract and hold on to enough electrons to make them neutral.