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Experiments with Supersonic Beams as a Source of Cold Atoms

Experiments with Supersonic Beams as a Source of Cold Atoms

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Figure 3.9: A CAD image <strong>of</strong> the rotor <strong>as</strong> held by the initial spindle. The spindle is<br />

rigidly coupled to the shaft <strong>of</strong> the ferr<strong>of</strong>luidic feedthrough. The feedthough attaches<br />

toa10− 4.5 inch zero length reducer, which supports the spinning parts, <strong>as</strong> well <strong>as</strong><br />

the motor, which is mounted above the feedthrough via a flexible coupling. Figure<br />

Courtesy Max Riedel.<br />

forces. Figure 3.8 shows a finite element calculation <strong>of</strong> the stresses placed on the ro-<br />

tor by rotation at 140 Hz, me<strong>as</strong>ured in MPa. This is expressed <strong>as</strong> a pressure because<br />

the strength <strong>of</strong> the material is proportional to the cross sectional area, and thus the<br />

relevant number is not the absolute force placed on the rotor, but rather the force<br />

per unit area. The maximum stress placed on the rotor by this speed <strong>of</strong> rotation is<br />

152 MPa, which is well below the yield tensile strength <strong>of</strong> the titanium allow used<br />

(880 MPa).<br />

The rotor is held in vacuum by a stainless steel spindle which is rigidly coupled<br />

to the shaft <strong>of</strong> a ferr<strong>of</strong>luidic rotary feedthrough [60]. Since an object will rotate stably<br />

around the axis <strong>of</strong> lowest or highest inertia, one goal in the construction <strong>of</strong> the spindle<br />

w<strong>as</strong> to ensure that the rotor would be spinning about the axis <strong>with</strong> the highest moment<br />

<strong>of</strong> inertia (the lowest moment being rotation about the centerline <strong>of</strong> the rotor itself).<br />

To do this, a disc w<strong>as</strong> added to the spindle, <strong>with</strong> most <strong>of</strong> the m<strong>as</strong>s on the outside<br />

37

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