Editing Inertial electrostatic confinement (section)

===Brillouin limit===

In 1945, Columbia University professor Léon Brillouin, suggested that there was a limit to how many electrons one could pack into a given volume.<ref>{{cite journal |last=Brillouin |first=Leon |title=A Theorem of Larmor and Its Importance for Electrons in Magnetic Fields |journal=Physical Review |publisher=American Physical Society (APS) |volume=67 |issue=7–8 |date=1945-04-01 |pages=260–266 |issn=0031-899X |bibcode=1945PhRv...67..260B |doi=10.1103/physrev.67.260}}</ref> This limit is commonly referred to as the Brillouin limit or Brillouin density,<ref>"Brillouin limit for electron plasmas confined on magnetic surfaces" Allen H. Boozer Department of Applied Physics and Applied Mathematics Columbia University, New York NY 10027, http://www-fusion.ciemat.es/SW2005/abstracts/BoozerAH_SW.pdf {{Webarchive|url=https://web.archive.org/web/20100404003718/http://www-fusion.ciemat.es/SW2005/abstracts/BoozerAH_SW.pdf |date=2010-04-04}}</ref> this is shown below.<ref name="ReferenceB"/>
:<math>N=\frac{B^2}{2\mu_{0}mc^2}</math>

Where B is the magnetic field, <math>\mu_{0}</math> the permeability of free space, m the mass of confined particles, and c the speed of light. This may limit the charge density inside IEC devices.