Hot
cathode ionization gauges such as the triode,
Schulz-Phelps, Bayard-Alpert and the extractor gauge have
the same basic operating principle.
Electrons
emitted from a hot filament at constant rate are
accelerated towards a positively charged electron
collector. In the space between the filamentary electron
emitter and the ion collector these electrons collide
with gas molecules, ionizing them. The positive ions thus
formed are collected on the ion collector. The number of
gas molecules ionized at a fixed electron flux is
proportional to the gas density and, hence, to the gas
pressure. We can define a proportionality constant S such
that: S (Sensitivity) = Ion collector current /
(Electron collector current) (Pressure) where the
currents are in amperes and the pressure in
Torr.
The
sensitivity defined in this manner is independent, over a
wide range, of the electron current and dependent only to
the gauge geometry and the gas species. Thus, if you know
the sensitivity (from the manufacturer's data) and the
ion current at a known electron current, the pressure can
be computed.
Ionization
gauges have different relative sensitivities for
different gases and, thus, will only give true pressure
measurements if the gas composition is known. Table
1 gives the relative sensitivity of certain common
gases. Thus, gauges, which are usually calibrated for
nitrogen, can be used for other gases.

Essentially,
the different types of hot cathode gauges are determined
by the shapes, sizes, and distribution of the three basic
elements (electron emitter, electron collector and ion
collector).
Triode
The
earliest configuration was that of a simple triode vacuum
tube. It was soon learned that if the functions of the
grid and anode of the tube were interchanged so that the
grid became the electron collector and the anode the ion
collector, a higher sensitivity could be achieved. In
this case electrons leaving the filament are attracted to
the positively charged electron collector (grid). Due to
the open nature of the grid, most of the electrons miss
the grid and are repelled by the negatively charged ion
collector and return to the grid. A significant fraction
miss again, so that the electrons transit the
grid-to-ion-collector space several times before finally
striking the grid. This greatly increases the probability
that an electron will ionize a gas molecule and that the
resulting ion will strike the ion collector.
Triode
gauges of small dimensions or of unusual configurations
are well suited to measurements of relatively high
pressure approaching 10-1
Torr. However, they are limited at low pressures to
10-6
Torr, or in some configurations,
10-8
Torr.
X-ray
Limit
It
was learned that the low-pressure limit of the triode
gauge was caused by energetic electrons striking the
electron collector and producing soft X-rays. A fraction
of these X-rays strike the ion collector releasing
photoelectrons. An electron current leaving the ion
collector is indistinguishable from an ion current
arriving at the ion collector, thus setting a limit to
the lowest pressure that can be measured.
Bayard-Alpert
(BA) Gauges
The
Bayard-Alpert Gauge is essentially a triode reconfigured
so that only a small fraction of the X-rays discussed
above are able to strike the collector.
To
achieve this reconfiguration, the filamentary electron
emitter was moved outside the grid and the massive ion
collector was replaced by a fine wire in the center of
the grid. The improved performance at lower pressures
requires some sacrifice of high-pressure performance. The
range of measurement of glass Bayard-Alpert gauges is
nominally from the 10-3
Torr scale to the 10-10
Torr scale. Nude Bayard-Alpert Gauges operate from
10-3
to 10-11
Torr. Special designs are under development to extend the
low-pressure limit to less than
10-12
Torr.