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You don't really have to memorize the octet exceptions because with the electron configuration of the elements and their ions, it sort of does it for you! For hydrogen to be stable (and to be stable is to have a full valence shell), it only needs to gain one electron because the valence shell is 1s. Helium is already stable because its valence shell is full at 1s^2. For lithium and berylium, you know that both of them are metals and most likely form cations (Lithium is 1+ and Berylium is 2+), so when they lose electrons, they will form the same electronic configuration as the nearest noble gas, which is He, so they won't have the full octet either (because the first energy level only has the s orbital)!
Kailie_Giebink_1E wrote:will we need to know this for the test??
I would memorize these just in case. Overall it's couldn't hurt just to memorize the 4 exceptions, but it would benefit more if you knew the reasoning and concepts behind. They can help you understand electron configurations as a concept all together.
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