How is the von Klitzing constant used to measure resistance?

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SUMMARY

The von Klitzing constant, represented as h/e², is integral in measuring resistance through the Quantum Hall Effect, particularly at a filling factor of 1. This constant is utilized in Watt balances, which are essential for precise current measurements. The quantization of Hall Resistance occurs with remarkable accuracy, allowing for the determination of material conductance mobility and carrier density. Understanding these relationships is crucial for applications in metrology and quantum physics.

PREREQUISITES
  • Quantum Hall Effect principles
  • Understanding of Watt balance mechanisms
  • Familiarity with Hall Resistance and its quantization
  • Knowledge of conventional electrical units
NEXT STEPS
  • Research the principles of Quantum Hall Effect in detail
  • Explore the design and operation of Watt balances
  • Study Hall Resistance quantization and its implications
  • Investigate the relationship between carrier density and mobility in materials
USEFUL FOR

Physicists, electrical engineers, metrologists, and anyone interested in the precise measurement of electrical resistance and the applications of quantum constants in technology.

Harisk
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How is the constant used to measure resistance? I can't find a clear answer anywhere. The constant is h/e^2 but that doesn't really help in seeing how it is linked to resistance other than the units being the same in base units.
 
Thanks,

All I know is that it is linked to the quantum Hall effect and is used in a Watt balance that is then used to measure the current. It uses the Von klitzing constant to measure the resistance but I just don't undertand how it works. I don't exactly need all the gritty details as a whole, just for the Watt balance if possible. It's also linked to something known as 'conventional electrical units' which is only used for the Josephon constant (that I understand) and the Von Klitzing constant as units of measurement.
 
Hi Harisk,
I realize that this is +1 year old post and I'm not sure whether you found the answer you were searching for, but I will post the answer anyway.
Quantum Hall Effect is an exciting topic with a bunch of weird phenomenons.
Von Klitzing constant or Hall Resistance at a filling factor=1 is considered one of the most important factors (if not the most), it is discovered that it is quantized with extremely high precision (1 in billionth) at a specific energy state (Landau Level) due to high magnetic field. Hall Resistance can be used to find hall mobility thus material conductance mobility and find carrier type and density.
 

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