What Is This Tool?
This online converter allows you to translate electrical resistance measurements from the abohm unit, rooted in the classical electromagnetic CGS system, to the quantized Hall resistance unit, which is fundamental in quantum electrical standards and research.
How to Use This Tool?
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Enter the electrical resistance value in abohm
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Select the unit you want to convert to: quantized Hall resistance
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Click the convert button to get the equivalent value
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Use the converted results for metrology or physics applications
Key Features
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Converts abohm values to quantized Hall resistance easily
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Supports very small resistance conversions relevant to metrology
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Browser-based, no installation required
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Facilitates coherence between classical and quantum resistance units
Examples
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1 Abohm equals 3.8740461439806e-14 Quantized Hall resistance
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2 Abohm equals 7.7480922879612e-14 Quantized Hall resistance
Common Use Cases
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Interpreting resistance values from historical CGS electromagnetic literature
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Converting small resistance units for metrology standards
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Performing precision measurements in national metrology institutes
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Supporting research on quantum Hall effects and low-dimensional materials
Tips & Best Practices
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Ensure accurate input value for precise conversion
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Use the results primarily in scientific and metrology contexts
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Understand the specialized nature of quantized Hall resistance
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Recognize the requirement of physical conditions for real measurements
Limitations
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Conversion involves very small factors linked to quantum constants
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Applicable mainly in specialized scientific and metrology environments
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Quantized Hall resistance measurements need low temperatures and strong magnetic fields
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Limited general use outside of advanced physics and national labs
Frequently Asked Questions
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What is an abohm?
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An abohm is the unit of electrical resistance in the electromagnetic subsystem of the CGS system, equal to 10⁻⁹ ohms in SI units.
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What defines quantized Hall resistance?
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Quantized Hall resistance is a discrete transverse resistance linked to the quantum Hall effect, expressed as R_H = h/(ν e²), where h is Planck’s constant, e is the elementary charge, and ν is an integer factor.
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Where is this conversion commonly used?
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It is used in national metrology institutes, precision electrical measurement laboratories, and research involving quantum Hall physics in condensed matter.
Key Terminology
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Abohm
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The electrical resistance unit in the electromagnetic subsystem of the CGS system, equivalent to one nanohm in SI.
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Quantized Hall resistance
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Discrete resistance plateau observed in quantum Hall effect experiments, defined by fundamental constants and used as a resistance standard.
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Quantum Hall effect
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A quantum phenomenon producing precise resistance plateaus in two-dimensional electron systems under strong magnetic fields and low temperatures.