A method includes performing by a processor: estimating a total cathode space current for a thermionic vacuum tube having at least one grid and a plate, such that at least one amplification factor associated with the at least one grid is determined by a polynomial based on a variable that represents at plurality of voltages associated with the at least one grid and the plate, the variable being heuristically determine. Transitions between positive and negative grid operation may experience a step change in estimated current value caused by the inclusion or elimination of grid current. A part of the grid current may be added back into the plate current during transition. This small contribution to plate current may gradually diminish as tube operation moves farther away from the transition boundary.

An electron source in a gas-source mass spectrometer the electron source comprising: an electron emitter cathode presenting a thermionic electron emitter surface in communication with a gas-source chamber of the gas-source mass spectrometer for providing electrons there to; a heater element electrically isolated from the electron emitter cathode and arranged to be heated by an electrical current therein and to radiate heat to the electron emitter cathode sufficient to liberate electrons thermionically from said electron emitter surface, therewith to provide a source of electrons for use in ionising a gas the gas-source chamber.

An electron source in a gas-source mass spectrometer the electron source comprising: an electron emitter cathode presenting a thermionic electron emitter surface in communication with a gas-source chamber of the gas-source mass spectrometer for providing electrons there to; a heater element electrically isolated from the electron emitter cathode and arranged to be heated by an electrical current therein and to radiate heat to the electron emitter cathode sufficient to liberate electrons thermionically from said electron emitter surface, therewith to provide a source of electrons for use in ionising a gas the gas-source chamber.

In one embodiment, a system includes a thermionic emitter and a heater at least partially surrounding the thermionic emitter. The heater is configured to heat the thermionic emitter. The heater includes a first end, a second end opposite the first end, and a plurality of hollow insulating tubes that each run from the first end to the second end. The heater also includes a heater wire that runs through each of the hollow insulating tubes. The heater wire is configured to be resistively heated by an electrical current passed through the heater wire.

In one embodiment, a system includes a thermionic emitter and a heater at least partially surrounding the thermionic emitter. The heater is configured to heat the thermionic emitter. The heater includes a first end, a second end opposite the first end, and a plurality of hollow insulating tubes that each run from the first end to the second end. The heater also includes a heater wire that runs through each of the hollow insulating tubes. The heater wire is configured to be resistively heated by an electrical current passed through the heater wire.

In order to provide a stable hexaboride single-crystal field emission electron source capable of heat-flashing, this field emission electron source is provided with a metal filament, a metal tube joined thereto, a hexaboride tip that emits electrons, and graphite sheets that are independent of the metal tube and the hexaboride tip. The hexaboride tip is arranged so as not to be in structural contact with the metal tube due to the graphite sheets. The hexaboride tip, the graphite sheets, and the metal tube are configured so as to be mechanically and electrically in contact with one another.

In order to provide a stable hexaboride single-crystal field emission electron source capable of heat-flashing, this field emission electron source is provided with a metal filament, a metal tube joined thereto, a hexaboride tip that emits electrons, and graphite sheets that are independent of the metal tube and the hexaboride tip. The hexaboride tip is arranged so as not to be in structural contact with the metal tube due to the graphite sheets. The hexaboride tip, the graphite sheets, and the metal tube are configured so as to be mechanically and electrically in contact with one another.

A thermionic cathode, an electron emission apparatus, and a method of fabricating the thermionic cathode are provided. The thermionic cathode includes an emitter. The emitter includes a lanthanum hexaboride (LaB.sub.6) crystal having a crystallographic orientation of (310). The operating temperature of the thermionic cathode is greater than 1800 K.

A thermionic cathode, an electron emission apparatus, and a method of fabricating the thermionic cathode are provided. The thermionic cathode includes an emitter. The emitter includes a lanthanum hexaboride (LaB.sub.6) crystal having a crystallographic orientation of (310). The operating temperature of the thermionic cathode is greater than 1800 K.

A monolithic graphite heater for heating a thermionic electron cathode includes first and second electrically conductive arms, each one of the first and second electrically conductive arms having an electrode mount at a proximal end, a thermal apex at a distal end, and a transitional region between the electrode mount and the thermal apex; a cathode mount electrically and mechanically coupling each thermal apex to form a maximum Joule-heating region at or adjacent the cathode mount and decreasing Joule heating along each transitional region; and a press-fit aperture formed in the cathode mount, the press-fit aperture sized to receive at least a portion of the thermionic electron cathode for facilitating thermionic emission produced therefrom in response to operative heat power generation provided by the maximum Joule-heating region.