The smallest leakage to which the detector will respond is termed the minimum detectable leakage and is measured by
observing the leak detector reaction to a calibrated or known leakage. When calculating the minimum detectable leakage
of a mass spectrometer, it is conventional practice that the noise and random-background count rate be doubled. The
sensitivity of the mass-spectrometer detector is defined by:
(Eq 11)
where S is the sensitivity (in atmosphere cubic centimeters per second per scale division), D is the total deflection
produced by the calibrated leak (in scale divisions), Q is the calibrated leakage flow (in atmosphere cubic centimeters per
second), and B
s
is the steady background reading (in scale divisions). In terms of S, the minimum detectable leakage
(MDL) can be expressed as:
MDL = 2(N + B
R
)(S)
(Eq 12)
where N is the scale deflection produced by instability or noise in system (in scale divisions) and B
R
is the random
background deflection (in scale divisions).
Tracer-Gas Diffusion Rate. In large, open vessels, gas diffusion is not a major problem. However, in tortuous
systems, one investigator found that even after 24 h neither helium nor Freon had evenly diffused throughout the system.
Absorption and adsorption of tracer gas are responsible for hang-up in the system; they can also materially
reduce tracer-gas concentration. Permeation also causes difficulties; for example, helium permeates through a 25 mm (1
in.) diam O-ring in about 1 h, thus producing a detectable reading in the system.
Detector cleanup time (the time required for the leak detector to purge itself of tracer gas) can range from a few
seconds to several minutes, thus affecting the time between searches for a leak. Cleanup time is usually defined as the
time it takes for the meter reading to decay to 37% of its maximum value.
Pumping Speed. It can be shown that a leak detector will exhibit a readout deflection that is 63% of its maximum
value at some characteristic time, t, known as the response time. Response time can be calculated as t = V/S, where V is
the system volume in liters and S is the pumping speed in liters per second. Increasing the pumping speed will decrease
the response time, but will introduce a corresponding decrease in the maximum signal. Increasing the pumping speed by a
factor of ten will reduce the readout deflection of the detector by a factor of ten, which may cause problems. Calculation
of the response time is useful for determining the length of time that a tracer gas must be sprayed over the external surface
of a vessel under vacuum in order to detect a leak. For example, if the vessel has a volume 1000 L and the leak detector
has a pumping speed of 5 L/s, then the suspected leak area should be sprayed with search gas for about 200 s (1000/5) for
the detector to reach 63% of its maximum value.
System Volume. The larger the volume of the system, the smaller the concentration of leakage. This can be alleviated
by closing off part of the system when possible. The enclosures used to trap the leakage should be as small as possible.
For example, if the leakage of tracer gas is 10
-5
atm cm
3
, if the enclosure volume minus the test unit volume is 10
6
cm
3
,
and if the detector can detect 1 ppm of search gas, then the tracer gas will take about 28 h to reach detectable
concentration.
Leak Testing
Revised by Gerald L. Anderson, American Gas and Chemical Company
Measurement of Leak Rate Using Calibrated Leaks
Leak-rate measurement can be accomplished with almost any of the standard leak detecting methods in conjunction with
a calibrated or known leak. If the leakage is inward, it can be measured by tracer-gas concentration inside the vessel or
system vacuum. If the leakage in outward, it can be collected in an enclosure and the concentration rise within the