Module 03: Pressure Signatures
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Three Curves, Three Problems
When you pump down a vacuum system, the shape of the pressure curve tells you what is happening inside. Three fundamentally different problems produce three distinct signatures. Toggle each curve to compare them.
Real leak: Pplateau = Qleak / Spump — constant gas inflow from atmosphere.
Outgassing: P ∝ t−1 — surface desorption, continuous power-law decay.
Virtual leak: trapped volume empties through a high-impedance path — temporary plateau then resumes.
How to Tell Them Apart

Real Leak

Pressure hits a permanent plateau and never improves, no matter how long you pump. Rate-of-rise test shows a linear pressure increase when the valve is closed. Baking does not help.

Plateau permanent • dP/dt = constant • Bake: no effect
Action: He leak check all joints, flanges, welds

Outgassing

Continuous slow descent, never truly flat. Dominates after 24h+ of pumping. Accelerated dramatically by baking. Dominant species: H₂O, CO, H₂.

P ∝ t−1 • dP/dt decelerating • Bake: strong improvement
Action: Continue bake, monitor RGA spectrum

Virtual Leak

Temporary plateau that eventually breaks through. Pressure descent is irregular — stalls, resumes, stalls. Often appears after mechanical work (tightening, welding).

Plateau temporary • dP/dt irregular • Bake: partial help
Action: Check trapped volumes, blind holes, double seals
The Rate-of-Rise Test
The definitive diagnostic: close the pumping valve and watch how pressure rises. The slope shape reveals the source. Click the button to simulate closing and opening the valve.
Pumping — valve open

Linear rise = Real Leak

Constant slope — gas flows in at a fixed rate from outside. dP/dt = Qleak/V = constant.

Decelerating rise = Outgassing

Slope decreases over time as re-adsorption competes with desorption. Surfaces re-equilibrate.

Fast then plateau = Virtual Leak

Trapped volume equalizes quickly, then pressure stops rising. The trapped gas is finite.

Diagnostic Checklist — 5 Questions
When pressure stagnates, ask yourself these five questions in order:
  1. Has the pressure reached a true plateau, or is it still descending slowly? Plateau → leak  |  Still falling → outgassing
  2. Is the rate-of-rise linear? Linear → real leak confirmed
  3. Is there M32 (O₂) in the RGA spectrum? M32 present → air leak confirmation
  4. Did the problem start after a mechanical intervention? Post-intervention → suspect virtual leak
  5. Has baking improved the situation? Improved → outgassing  |  No change → leak
Pumpdown Simulator
Configure a vacuum system and watch it pump down in real time. Add leaks, start a bake, and see how the pressure responds. 1 second real time = ~1 hour simulated.
50 L
10⁻⁹
4 cm
50 cm
PUMP
Pressure
760 Torr
Seff
-- L/s
Conductance
-- L/s
Ultimate P
-- Torr
Elapsed
0.0 h
PRE-CONFIGURED EXPERIMENTS
Good Setup

Turbo 300 L/s, wide tube (10 cm × 30 cm), 50 L chamber, low outgassing. Textbook pumpdown.

🚨 Pinched Tube

Turbo 300 L/s but through a 1 cm × 100 cm tube. Watch your expensive pump become useless.

Leaky System

Good setup but with a real leak. Watch the pressure plateau and refuse to go lower.

Equations & Parameters
Leak rate measurement:
Q = V · dP/dt    [Torr·L/s]
V = system volume, dP/dt = rate-of-rise slope. For a real leak, Q is constant.
Outgassing rate (power-law):
q(t) = q0 · (t / t0)−α
α ≈ 0.7–1.2 for H₂O on stainless steel. q0 ≈ 10−8 Torr·L/s/cm² after 1h pump.
Molecular-flow conductance (circular tube):
C = 12.1 · (D³ / L) · √(T / M)    [L/s]
D = diameter (cm), L = length (cm), T = temperature (K), M = molecular mass (AMU). Valid for L/D > 10.
Virtual leak time constant:
τ = Vtrapped / Cpath
Vtrapped = trapped volume, Cpath = conductance of the leak path. Typical: 0.01 cm³ through a 1µm gap → τ ~ minutes to hours.
ScenarioTypical Q (Torr·L/s)Rate-of-rise shapeαBake effect
Real leak (flange)10−7 – 10−5LinearNone
Real leak (micro)10−10 – 10−8LinearNone
H₂O outgassing (SS, 1h)10−8 /cm²Decelerating0.7–1.0Strong
H₂ outgassing (SS, baked)10−12 /cm²Decelerating0.5Moderate
Virtual leak (O-ring groove)10−6 initialFast → plateauPartial
Virtual leak (blind tapped hole)10−8 initialFast → plateauPartial
References
[1] J.F. O'Hanlon, A User's Guide to Vacuum Technology, 3rd ed., Wiley, 2003 — Ch. 3: Gas Flow, Ch. 4: Pumping Speed and Throughput.
[2] K. Jousten (ed.), Handbook of Vacuum Technology, 2nd ed., Wiley-VCH, 2016 — Ch. 6: Leak Detection.
[3] B. Henrist et al., "Outgassing rate measurements of stainless steel and copper vacuum chambers," Vacuum 60 (2001) 27–34.
[4] N. Hilleret et al., "The secondary electron yield of technical materials and its variation with surface treatments," EPAC 2000.
[5] SLAC-TN-23-003, "Vacuum bake-out procedures for LCLS-II cryomodules," 2023.