First a bit of a story. Our optical pumping apparatus has a pair of Helmholtz coils. (shown here,
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Something like 5% of the coils just don't match well*. (This can be for various reasons, wrong # of turns, mechanically mis-aligned, or other.) It's not that hard to find a turn mismatch. (~400 turns per side so a small resistance difference) But sometimes things are just a little off for no apparent reason. (These coils go on the shelf.. to be played with when I retire. :^) Anyway last night I was testing some and again had some 'just a little off' coils. I was thinking of trying a circuit 'fix'. Shown here,
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For which I need floating current sources. I think first of a three terminal V_ref, resistor, opamp (to V_ref common) and load. Like this,
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Is that going to work? (Battery powered or something.)
George H.
*At high fields (several Gauss) the signal line width is determined by the field homogeneity of the coils. Excess line width means smaller signals and un-resolvable signals.
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J
John Larkin
How about a commercial unregulated dc/dc converter and a resistor?
Next level up, a dc/dc converter and an isolator, PWM coupling maybe.
Commercial NMR magnets have separate field shim coils, sometimes dozens of them.
John Larkin Highland Technology, Inc
lunatic fringe electronics
G
George Herold
Right, I should just do something simple to make sure the idea works. So maybe a floating power supply and resistor on one coil.
When I'm feeling finicky, I'll trim the local field inhomogeneity by waving a little magnet around and looking at the signal. Once I find the 'right' orientation I'll tape it to a wooden chair. This is only a temporary fix.
George H. (I have to take these to my 'country estate' for testing. B fields in the city are all over the place and changing constantly.)
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George Herold wrote
Is it not much simpler to use 2 drivers, adjustable?
What does a magnetic shunt (piece of iron basically) do to each coil? What does an adjustable parallel resistor do on each coil?
J
John Larkin
In the past, people were better than automation at shimming NMR magnets. I think the algorithms have got better lately.
I might get one of those surfboard log-periodic antennas and a portable spectrum analyzer to do rough EMI testing. But I'll have to do that up in the mountains; the city is an EMI nightmare.
Cell phones work badly up there, which is a good sign for EMI surveys.
John Larkin Highland Technology, Inc
lunatic fringe electronics
W
Winfield Hill
Most work is best done at the country estate.
Thanks,
- Win
G
George Herold
No. that would be much harder. The common current is ~1 amp, the differential current will be ~1mA
Ahh no iron! I remove all iron from my person before adjusting.
Hey, that might work! It'd be good for any current too! Coils are ~5 ohms each so a 5 k ohm shunt R may be just the ticket.
Thanks, I'll give it a try this evening.
George H.
G
George Herold
Years ago I took the optical pumping (OP) out into the middle of my field, (yard) to get away from 60 Hz fields. There seems to be this 'real' effect that the zero field* OP signal gets smaller when you get really close to zero B field.
George H.
*OP depends on the Zeeman splitting of the ground state electrons. If there's no B field there is no splitting, no pumping.
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In that case one trimpot of 10 k with the center tap where the inductors are connected to each other would be all you need.
| -------- | | L | |------[ ]-| L | 10 k |_______| |
W
whit3rd
Instead of current sources, have you considered a shunt resistor? Wirewound low-impedance resistors with an adjustable tap might be suitable
as long as you have that common connection between the Helmholts demicoils.
G
George Herold
Yup! This thread's subtitle is, 'or a resistor'
Which does everything better.
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That is with and without a current stealing resistor. It's a bit of a cheat, because the much wider 'without' is the second in a string of Zeeman levels... but it just happened to be close, and so the width is right but the first is ~twice as deep.
Here's the 'full' spectrum
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There's a lot going on there. The four big wide things are the main transitions (over driven and RF power broadened) in between are three double quantum transitions (DQT). There's also two smaller signals at the beginning.
The depth/ sharpness (of DQT) is what I want. TBH it's never been better.I took some crappy coils and made 'em the best ever.
I'm going to call it Jan's current stealer in the news letter. (unless you object) Hmm, it may also be tuning out local field gradients... doing more than just 'fixing' the coils.
George H.
G
George Herold
I bought an "estate groomer" (triple mower deck that runs off my tractors PTO) from the local Massey-Ferguson dealer. (Java Farm Supply) and since then I figure as long as I keep grooming it, I've got an estate. :^) (well mostly trails, some yard.)
George H.
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I am a honored. Just hope nobody asks me how it works exactly :-)
Do you think is because of small resistance differences in the coils? Solder connections bit of wire length?
That is nice.
M
Martin Brown
Wonderful and an elegant simple solution to balance them.
Does the direction of the Earth's natural magnetic field wrt the applied fields affect the results at all?
Regards,
Martin Brown
G
George Herold
(I'm just trying to flatter you so you'll keep feeding me ideas. :^)
No, The coils are driven from a current source. I'm guessing it's just slight differences in how the layers of wire go down. Maybe there is some wire tension difference or something.
Anyway this is all a very small effect. The (theoretical) field inhomogeneity for Helmholtz coils goes as C*(x/R)^4. Where C ~1, R is the coil radius and x the distance from the center. For my coils R = 6" and the cell size is 1" so x ~1/2"... (x/R)^4 ~ 20,000 the Field is ~7 Gauss so best inhomogeneity ~0.35 mG (milli Gauss) I typically want to see less than a 1 mG linewidth, And for the coils with Jan's current stealer the I measured 0.4 mG!!
George H.
G
George Herold
Right if I ever start another thread with some complicated circuit fix and you think, "Gee George, how about a capacitor instead?" Then please do speak up. :^)
Oh yes... which is what makes working in the city hard.. the field won't hold still. So there are two sets of coils, one vertical and one horizontal. We first orient the Axis to lie along the Earth's horizontal component of the field. Then use the vertical coils to tune out the vertical field. And then sweep the horizontal field.
George H.
C
Clifford Heath
Wait, what? Why does the local field change so much? Is this a daily cycle linked to the ionosphere?
G
George Herold
Cars, trucks, elevators, forklifts.. any hunk of iron moving around. The iron in buildings, I-beams, rebar and such also guides the local fields in weird ways. (There's very little horizontal B in my lab... and it goes in many directions. Old building.) And then there are the 60 Hz fields, those vary but a few mG is common.
George H.
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Yes, this is how 'I' think it works, and what made me think about the parallel resistor:
Being in a large part a RF guy, I was thinking about Q (no not from the bond movies).
Any L has associated with it a capacitance, and the impedance is always complex. So you have 2 LC circuits here.
Since you are driving with a triangle wave, the harmonics go way up into the clouds, no matter how slow your driving frequency is (Fourier remember).
Basically Q = w.L / Rseries and bandwidth is B = f/Q
Putting a compensating resistor is series would work too, but then you need a very low value potmeter.
But the relationship between Rseries and Rparallel makes it possible to use a parallel resistor to make Q equal.
So it is basically (edit your paper) a 'Q balancing' circuit.
'If it was me', and I am curious, I would, and there recently was an interesting thread here about measuring very low resistances, measure the Rs of those coils.
So Q balancing!
G
George Herold
Hmm, well maybe it looks like that 'cause the signal got so much sharper. But this is a DC trick. There is some residual magnetic field gradient in the z direction (axis of coils) the gradient means that spins on one side resonant at a slightly different field* than spins on the other. (Spins are electronic spins of Rb atoms on different ends of the 1" Rb cell) Stealing a little current from one coil causes a compensating field gradient. And viola a nice sharp resonance. (Stealing the current also causes the transition to move a bit in terms of the absolute current... which is what I really measure/ plot.)
George H.
*I'm sweeping the field at fixed RF frequency, one can also sweep frequency at fixed field.
Hey, I think you said you are a Penrose fan. I saw he was on Joe Rogan's podcast.
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I haven't watched it. GH
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