The ionization conjecture

Prove that a nucleus of charge Z can bind at most Z + C electrons, with a constant C independent of Z.

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1	{
2	"domain": "physics-astronomy",
3	"topics": [
4	"mathematical-physics"
5	],
6	"type": "proof",
7	"source": {
8	"key": "simon-problems",
9	"name": "Simon's problems in mathematical physics",
10	"url": "https://en.wikipedia.org/wiki/Simon_problems#The_2000_list",
11	"id": "2000-9",
12	"curator": "Barry Simon",
13	"poser": "Barry Simon",
14	"status": "open",
15	"as_of": "2026-10-20",
16	"catalog": "0521c19bbd38"
17	}
18	}