## Research and development program on cold cathode magnetron ultrahigh vacuum gage, Volume 1480This report investigates mathematical models for a cold cathode magnetron ultrahigh vacuum gage. |

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### Contents

SUMMARY | 1 |

DIOCOTRON INSTABILITIES IN THE MAGNETRON | 11 |

SOLVING THE DIOCOTRON EQUATIONS | 28 |

7 other sections not shown

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### Common terms and phrases

2tte 2TTNec2 angular frequency applied voltage average electron energy average energy B-IN beam of particles CALCULATION OF POTENTIAL charge cloud charge density charge free classification of problems CLOUD C-OUT COLD CATHODE COMPLEX COMPLEX N computer program constant CONT cross section cycloidal D-OUT CYL DENSITY OF ELECTRONS DIOCOTRON DIOCOTRON INSTABILITIES discharge electric field ELECTRON CHARGE electron cloud electrons liberated end caps expression factor FIELD CGAUSS field theory FILLS CHAMBER free and maximum function of radius gauge geometry Graphs initial conditions ion current linear relation liquid macroscopic magnetic field magnetron gage magnetron problem maximum charge conditions NeTTb2 2TT Nichrome Nmax number density number of electrons particle current particle physics particles in fields Phys Poisson's equation POTENTIAL AND FIELD PRINT radial Redhead rotating fluid sensitivity single particle solutions solve Stability diagram striking the cathode TABLE TrNec2 c2 TTNeb2 TYPE values velocity volt/m wide pressure range zero