# How is the von Klitzing constant used to measure resistance?

• A
• Harisk
In summary, the constant h/e^2 is used to measure resistance in the quantum Hall effect and is linked to the Von Klitzing constant. It is used in a Watt balance to measure current and is also connected to conventional electrical units. While its precise workings may be complex, it is a crucial factor in understanding this phenomenon and can be used to determine hall mobility and material conductance.
Harisk
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.

## 1. How is the von Klitzing constant determined?

The von Klitzing constant is determined through precise measurements of the Hall effect in a two-dimensional electron gas at low temperatures and high magnetic fields.

## 2. What is the significance of the von Klitzing constant in measuring resistance?

The von Klitzing constant, denoted as RK, is a fundamental constant in physics that relates resistance to quantum phenomena. It allows for highly accurate and precise measurements of resistance.

## 3. Can the von Klitzing constant be used for all types of materials?

No, the von Klitzing constant is specifically used for materials that exhibit the quantum Hall effect, such as two-dimensional electron gases in semiconductors.

## 4. How is the von Klitzing constant used in practical applications?

The von Klitzing constant is used in the development of highly accurate resistance standards, which are essential for calibrating instruments used in a wide range of industries, including electronics and telecommunications.

## 5. Are there any limitations to using the von Klitzing constant in resistance measurements?

One limitation is that the von Klitzing constant is only applicable at very low temperatures and high magnetic fields. Additionally, it can only be used for materials that exhibit the quantum Hall effect, which limits its applicability in certain industries.

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