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Unveiling the Nottingham Inversion Instability during the thermo-field emission from refractory metal
Darius Mofakhami1,2,3, Benjamin Seznec4, Tiberiu Minea4
1Laboratoire de Génie Electrique et Electronique de Paris, Université Paris-Saclay, CentraleSupélec, CNRS, 91192, Gif-sur-Yvette, France. darius.mofakhami@centralesupelec.fr.
This study explains the Nottingham Inversion Instability in refractory metal micro-protrusions. It reveals how jumps in electron emission current and temperature lead to vacuum breakdown.
Area of Science:
- Physics
- Materials Science
- Electrical Engineering
Background:
- Electron emission from micro-protrusions is studied for over a century.
- Unstable behaviors and vacuum breakdown in these systems are not fully explained.
- Experimental studies of instabilities are difficult due to vacuum breakdown.
Purpose of the Study:
- To provide evidence on the mechanisms responsible for thermal instability during field emission from refractory metal micro-protrusions.
- To explain the origin of discontinuities or jumps in electron emitted current under high applied voltages.
- To introduce and define the Nottingham Inversion Instability.
Main Methods:
- Utilizing a model to study electron emission from refractory metals.
- Analyzing discontinuities in electron emitted current under high applied voltages.
- Correlating jumps in emission current with jumps in temperature.
Main Results:
- A jump in emission current and temperature occurs beyond a threshold electric field.
- These jumps are linked to a transient runaway of resistive heating after Nottingham flux inversion.
- Emitter geometry and high-temperature thermal conductivity are critical for initiating the runaway.
Conclusions:
- The Nottingham Inversion Instability explains thermal failures and breakdowns in field emitters.
- The phenomenon involves a heat reflux towards the emitting surface.
- Specific emitter geometry and thermal properties are required for this instability.
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