sergey l. bud’ko · 2020. 5. 6. · superconducting magnets –lambda plate magnet at 2.2 k,...
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Magnetic field generation
590B S14
Sergey L. Bud’ko
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Choice of magnets
Either you need to answer the following questions:
What field is needed?
How homogeneous the field should be? What is the sample size? What is the sample holder size?
Do you need to change the value of the field?
Do you need to change the direction of the field? How many axes?
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Do you need to change the direction of the field? How many axes?
What temperature is needed?
How fast you can sweep the field (instruments/heating/physics)?
What access do you need to the sample (wires, optics, X-rays, neutrons, …)
Can you sacrifice the sample?
Or you live with whatever you have
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Permanent magnets
Alnico
Ferrites
Neodymium-iron-boride
Samarium-cobalt
…
< 1 Tesla
temperature and history dependent
difficult to change field
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…cheap
compact
can be easily shaped
Rarely used as field-generation device in physics labs.
Possibly can be used in field instruments for geophysicists, agronomists, …
4.5 kOe permanent magnets
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Permanent magnets
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quadrupole magnet (focusing electron beam)
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Permanent magnets
Halbach cylinder
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http://en.wikipedia.org/wiki/Halbach_array
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Electromagnets
Biot-Savart law
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Lab electromagnet
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Electromagnets
Simple and straightforward
Field at room temperature
Reasonable fields (<3 Tesla)
No cryogens
Heavy and large
Small field volume
High field gradients
High power consumption
Need (water) cooling
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Need (water) cooling
Stability is determined by power supply
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Electromagnets
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Helmholtz coil – uniform
field in large volume
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R
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Maxwell coil – uniform field or uniform gradient
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Solenoids
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Superconducting solenoids
Nb-Ti (Tc ~ 10 K, Hc2 ~ 15 T)
Nb3Sn (Tc ~ 18 K, Hc2 ~ 30 T)
Multifilamentary cable
Copper (Cu-Ag, …) sheath
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Serious metallurgical task
Epoxy-impregnation
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First superconducting magnet
Phys. Rev. 98 (1955) 1197
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0.71 T at 4.2 K
George Yntema
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Superconducting solenoids
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Up to 9 T Up to 20 T
Current up to ~100 A (current leads are important!)
Quench protection circuit (sometimes proprietary, in old days could use external shunt)
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Superconducting solenoids
Up to 22 T
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Nb3Sn + HTS insert
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Series Connected Hybrid Magnet (NFMFL - FL)
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NMR first, then other measurements
11.7M$ to start with
cooling!
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Split pair magnets
Standard - up to 9T with 2” split access
Angular dependencies, light/x-ray/neutron access
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light/x-ray/neutron access
(less homogeneous field, more complex magnet design)
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Vector magnet
1 Tesla
- expensive
- complex
- “small” fields
- no moving parts
- precise value/direction of the field
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1 Tesla
1 Tesla
7 Tesla vertical field
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Superconducting magnets – lambda plate
Magnet at 2.2 K, >10% increase in max. field
(think of lambda-plate as of VTI with a valve that is cooling the magnet)
Can also pump on He-bath but this is too He-consuming.
Superconducting magnets
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Superconducting magnets
Affordable and compact high magnetic fields. Workhorse in CMP laboratory.
Need cryogens
Flux jumps
Not so trivial if T > 300 K desired
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cryogen free measurements systems
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cryogen free measurements systems
3 T
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Up to 9 T
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Bitter resistive magnets
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NHMFL – Tallahassee – 35 T
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NHMFL – 45T hybrid magnet
Strength 45 tesla
Type Hybrid
Bore size 32 mm (~1.25 inches)
Online since December 1999
Cost $14.4 million
Weight 31,752 kg (35 tons)
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Height 6.7 meters (22 feet)
Operating temperature -271 °C (-456 °F)
Water used per minute15,142 liters(4,000 gallons)
Power required 33 MW33.5 T resistive + 11.5 T superconducting
Operation cost (full field) ~ 4,000 $/h
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Magnetic field measurements
(*) Well defined geometry coil – can calculate.
(**) Faraday’s law: E = - dB/dT.nS.cosθ – several assumptions: constant area S, measurable θ, fast, accurate electronics. Good for pulsed fields.
(***) Hall probes – linear in field. 2DEG – very sensitive but at low temperatures/high fields QHE and/or SdH are observed. Other (e.g. III – V) semiconductors. Semimetals (Bi, …). Either purchase
B θ
E
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semiconductors. Semimetals (Bi, …). Either purchase (LakeShore, GMW, …) or DIY – if you have even primitive thin film technology. NB: Temperature dependence, angle with magnetic field (but – can serve as angle sensor), linearity. Hall arrays, multi-axes sensors.
(****) Standards (susceptibility of pure Pd for MPMS)
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Reading:
Fred M. Asner High Field Superconducting Magnets
NHMFL – web site
High Magnetic Fields Conferences and Workshops
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