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Anatomy of an IRMS Lecture 3 – Systems

Extra Reading: pdf’s from The Vacuum Lab

1) Introduction a) Last time we talked about how to create a vacuum, ie types of pumps. Today talk about all the other technology surrounding vacuum systems. b) Flow in a vacuum. Our intuition based on viscous flow through pipes is wrong. Affects dimensions and shapes of system components. c) Materials. Compatibility, outgassing, strength, cost, etc. d) Fittings. What are the standard ways of connecting vacuum components to ensure a good seal? e) Gauges. How do we measure the vacuum. 2) Flow in a vacuum a) Recall that at high vacuum, collisions between and walls are more common than between molecules. So flow is motion-driven (“molecular flow”), not pressure-driven (viscous flow). More analogous to diffusion. b) Fundamental Relationship: Q = SP i) Q = mass flow rate (mole/time; also P*V/time, eg Torr-L/sec) ii) P = pressure (units of P, eg Torr) iii) S = conductance (units of vol/time, eg L/sec) c) Analogy to Ohm’s law (V = IR) i) V (voltage) analogous to P ii) I (current) analogous to Q iii) R (resistance) analogous to 1/S iv) Substitution into Ohm’s law would give P=Q/S, rearrange to Q=SP d) Conductance. i) Ability of a physical component to allow molecules to pass. It is the inverse of resistance. For a simple tube (pipe), conductance is proportional to cross-sectional area. For a pump, conductance is the pumping speed. (1) Why is this? When a hits a surface, it does not reflect like light off a mirror. Instead it momentarily sticks, and is released at a random angle. Thus the probability of making it through a tube is inversely proportional to the number of wall collisions that you experience. (2) Bigger tubes have a wider “acceptance angle”, ie direction in which molecules could be traveling and will make it through with no collisions. ii) In general, conductance is a fixed property of the vacuum system. Note that it must be a combination of pumps, tubing, fittings, etc. (1) For simple components like tubes, can estimate conductance based on size and shape (see table). (2) When we have multiple components in series (tubes then pump), calculate the effective conductance just as we would for resistance (Reff = R1 + R2 +…; 1/Seff = 1/S1 + 1/S2+…) (3) Anything you can do to help increase conductance of tubing, etc will help overall system. Note futility of putting larger and larger pumps on a system whose conductance is controlled by other components, like tubing. e) Flow rates. Need to distinguish between volumetric and mass flow rates, which are both in the fundamental equation i) Mass flow rate (Q) is measured in molecules per time, and is independent of pressure. Makes intuitive sense when describing load (ie, input from a capillary), leak rate, etc.

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ii) Volumetric flow rate is measured in volume per time, and is an intuitive way of describing pumps (ie, pumping speed; units are vol/time). Recall that they have constant S, and so mass flow decreases with P. f) Behavior of the system i) Pumpdown. Conductance is fixed by system components, and is generally constant wrt pressure (ie, pumping speed does not vary with pressure). Gas inputs to the system (leaks, load) are a constant mass flow rate. If SP > Q, then pressure will continue to drop until SP=Q. That P is the ultimate vacuum of the system for given gas load. (1) Remember that S may change as a function of P, depending on where in the pumping curve you sit. ii) At fixed mass flow rate (determined by inputs), higher pumping speed and/or conductance gives lower pressure. Bigger pumps yield better vacuum (up to a point…) iii) At fixed mass flow rate, lower conductance (smaller tubes, etc) yields higher pressure. Importance of proper design of vacuum system components. iv) If mass flow rate and pressure are known, pumping speed can be calculated. These calculations are often very useful in diagnosing vacuum system problems. v) Ionization efficiency/pressure. The volume in which molecules are ionized is not in perfect contact with the surrounding vacuum system. In many cases, it is purposefully enclosed (“tight” source) to yield higher pressure and thus more efficient ionization. (1) If we want mass flow rate in ion source, can use measured pressure and pumping speed to estimate (2) If we know mass flow rate and limiting conductance, can calculate pressure inside the ion source. 3) Vacuum system design a) Need to maximize conductance of all system components. Note that because they are adding in inverse, doesn’t help to increase something far above the “limiting” conductance, which ideally should be the pump. b) Tubing size. i) Generally want wider diameter and shorter length. This is why vacuum connections are big (typically >1” ID), and we never put vacuum pumps across the hall. ii) Point of diminishing returns as surface area of system (and thus desorption) increases. c) Geometry. Straight flow paths better than turns. d) Surfaces. Smooth better than rough, both for increasing conductance and minimizing surface desorption. e) Virtual Leaks i) Imagine a screw driven into a blind threaded hole. Air is trapped at the end of the screw, and must now flow out around the screw. Even though its not leak-tight, that very small & tortuous path has very low conductance, so air will come back out very slowly. Ends up looking just like a leak, that takes forever to get rid of. 4) Materials a) Primary considerations are i) Strength to resist external forces (for chamber) ii) water adsorption iii) degassing rate iv) heat tolerance v) Leak rate (really only for seals) b) Metals. i) Stainless steel is common choice (1) type 304 is best (303 has too much S)

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(2) for UHV, type 304L has less carbon, even lower degassing (3) Electropolished surface is preferred to minimize water adsorption; fine machined surface (4) cleaning tool oils is difficult, requires care ii) Aluminum is also OK (1) cannot be anodized (adsorbs too much water) (2) subject to corrosion (3) easy to strip threads on flanges, etc. (4) less heat tolerant (weakens quickly) c) i) Pyrex is fine, but slow diffusion of He (special available) ii) glass capillaries are also fine, just remove polyimide coating d) ceramics i) Need to make sure it is high- sintered ceramic, otherwise much outgassing ii) best material for making insulating feed-throughs e) Rubber. i) OK to use thick rubber vacuum hose for rough pumps, but nowhere else. f) Things to avoid i) Plastics. Virtually all outgas large amounts, will coat the vacuum system and be there forever. Need to be very rigorous about this. ii) Porous materials (ceramic, glass, etc). Will take forever to reach adequate vacuum. iii) Epoxy. Even vacuum epoxy degasses. If you have to use it, make sure surface area is minimal (on outside of pinhole, not inside). iv) Avoid anything containing Zn, Cd, especially plated metal screws, etc. They will degas. 5) Cleaning a) Common activity; needs to happen every time something is taken out of a vacuum system. Fingerprints can destroy a vacuum. i) Mechanical abrasion, polishing; diamond grit, sandpaper, glass fiber pens, etc ii) Degreasing (DCM, etc) iii) Washing: soap and water, water iv) Drying: acetone/ethanol, 60°C oven v) Wrapped in Al foil if practical. b) Common to wear lint-free gloves while working in vacuum system that won’t be cleaned. 6) Fittings a) Typically a vacuum system consists of a chamber where all the action happens; multiple holes for instrumentation, gas flow, meters, pumps, etc. Every connection is accomplished by a fitting, and every one leaks a little bit. i) First goal is to minimize number of connections. Leak rate is roughly proportional to length of seals in system. ii) Second goal is to choose fitting types based on vacuum needs (low versus high).. b) Quick-release flanges, used for connecting rough pumps/hoses/etc i) Can be designated as QF, KF, NW, or DN, depending on details of construction (chamfered here or there, etc) ii) All should be interchangeable. Mating facies are symmetric (‘not sexed’). iii) Seal is by polymer o-ring, generally Viton iv) limited by o-ring to 120°C, 10-8 mbar c) Large flange standard, using for permanent connections to vacuum chamber (source, pump, etc) i) Often designated ISO, but also LF, LFB, MF ii) Seal can be provided by Viton o-ring, metal knife-edge seal (Al), soft metal gasket (Au, Ag) iii) connection made either by bolts or claw-clamps

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iv) sized by inner dimension in mm v) temp and pressure determined by gasket material; with metal seals, can reach 300C and 10-10 mbar. d) Conflat standard; uses metal-metal knifedge seals for ultra-high vacuum i) Name is patented by Varian; most makers call these “CF flanges” ii) flange faces have machined knife edge (both sides), which cut into soft copper gasket between them iii) Very good at filling minor surface imperfections iv) baking to 450C, vacuum to 10-13 mbar e) Feedthroughs; how do you get high voltage electrical signals through a metal wall while keeping vacuum? i) A variety of technologies, including both mechanical and electrical feedthroughs ii) Our requirements are the most stringent: very high voltage, high vacuum, bakeable iii) Requires direct ceramic-to-metal sealing; you just buy these, and try not to break them 7) Gauges a) Review gauge pressure versus absolute pressure. Gauge pressure depends on local atmospheric pressure, really only useful for high-P measurements. b) Mechanical – work by measuring displacement or strain under pressure; useful for ~1 Torr to high pressure i) Manometer- measure the height of displaced (water or ) (1) McLeod gauge; compresses gas into a liquid manometer; very accurate, down to 10-6 torr, but inconvenient; often used for calibration of other gauges ii) Anaeroid – metal pressure plate pushes against a spring and displacement is measured iii) Bourdon tube – a flattened tube tends to become more circular as pressure differential increases; when tube is bent into C shape, this causes it to straighten out at pressure drops; can be surprisingly sensitive iv) Diaphragm gauge – measures deflection of a flexible membrane. Often implemented as a ‘capacitance manometer”, in which system measures capacitance of the membrane moving relative to a fixed plate of known capacitance. Baratron gauge is one example. Useful down to 10-2 Torr (mbar) c) Thermal conductivity (useful range: 10-3 to 10 Torr) i) Basic principle is that the rate of heat loss of a wire in vacuum depends on number of molecular collisions, which depend on density of molecules. Drawback of all these is that they depend on heat capacity of gas, must be calibrated for specific . ii) gauge; constant current applied to wire, separate thermocouple junction heated by conduction measures of the wire. This is a 2-wire system. iii) Pirani gauge. Uses two platinum wires as legs of a Wheatstone bridge, one of them held at sample pressure other at fixed reference pressure. Each wire is held at constant temperature, measures change in power required to measure this temp (heat dissipation by collisions with molecules, proportional to pressure). d) Ionization gauges (useful range: 10-10 to 10-3 Torr) i) Ionize gas and force it to migrate to a cathode down a voltage gradient. Measure resulting current, proportional to pressure. Only works at low pressure to sustain ions. ii) Hot cathode design – uses a heated filament to boil off electrons (thermionic emission) and ionize gas, then accelerated between grid and cathode by voltage gradient iii) Cold cathode design (Penning gauge, magnetron) – In a high voltage field, ionization process is self-sustaining (electron released strikes other atoms and generates new ions). Magnetic field confines electrons to tight spiral to make them more likely to strike other atoms. Difficulty comes in initiating the self-sustaining ionization cascade.

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