BUILD 04 · PUMP

What pumping speed actually reaches the chamber?

A pump is sold by its speed at its own flange. What the chamber sees is that speed in series with every tube, elbow, bellows and valve between them. This step computes the difference.

What already answers this

Nothing below is a copy. Each line is the surface of this site that carries the answer, and what it carries.

The system, laid piece by piece

Drag to turn

The vacuum system, drawn in three dimensions
not yet L/s at the chamber, no pump yet
not yet Torr L/s gas load, every wall the gas sees
not yet Torr ultimate pressure
not yet cm2 wall, chamber and lines

Branch by branch

BranchLineConductance At flangeAt chamber DeliveredWallIn the total

Every wall the gas sees counts, from the chamber inclusive to the pumps exclusive. A chamber longer than 3 diameters is treated as a tube and carries a parabolic pressure profile, a compact one stays a single node. That threshold is this page's convention, not a published result.

What these figures rest on

The chamber is the node. A branch starts at its pump: put a pump on a port, then lay its line back toward the chamber, section by section, until it reaches. Click the dashed section to lay a piece, press Enter, lay the next. Drag the drawing to turn it. Proportions are representative, only the typed dimensions are computed, and the molecular regime is the only one these formulas hold in.

P. Chiggiato, Vacuum Technology for Ion Sources, CERN, Geneva, arXiv:1404.0960. Read here: Eq. 20 C = C′ A₁ τ ; Eq. 21 the Santeler equation for the transmission probability of a uniform circular tube, stated to better than 0.7 per cent ; Eq. 22 its long tube limit ; Eq. 23 C ≈ 12.3 D³/L for N₂ ; Table 8 unit area conductances at 293 K. F-CHIGGIATO-IONSOURCES

E. Al-Dmour, Fundamentals of Vacuum Physics and Technology, Proceedings of the 2017 CERN Accelerator School course on Vacuum for Particle Accelerators, Glumslov, arXiv:2006.01464. Read here: Eq. 47 C = 3.64 A √(T/M) for a thick orifice ; Eq. 48 C = 11.6 A for air at 23 C ; Eq. 49 C = 3.81 (d³/L) √(T/M) for a long circular tube ; Eq. 50 C = 12.1 d³/L for air at 23 C ; Eq. 51 1/S_eff = 1/C + 1/S_nom. F-ALDMOUR-CAS2017

Outgassing rates are read from the outgassing base by material and surface state, and the key of each reading travels with the result into the dossier.

Not in the base yet

The elbow, the bellows and the gate valve are shop rules. No document opened for this page publishes a formula for them: they are drawn dashed, counted as unsourced in the table, and no correction factor was invented to close the gap.

What already answers this
Open the dossier

Not in the base yet

What this step cannot answer, and why. Every count below is read from the corpus at build, so this block shrinks on its own the day the data grows.