What Is This Tool?
This converter transforms length values from the Bohr radius, an atomic unit of length, into kilometers, a standard unit for large-scale distance measurement. It helps relate atomic dimensions to human-scale distances.
How to Use This Tool?
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Enter the length value you want to convert in Bohr radius units.
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Select Bohr radius as the input unit and kilometer as the output unit.
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Click the convert button to see the equivalent distance in kilometers.
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Review the result, which may be in scientific notation given the scale difference.
Key Features
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Converts length values from Bohr radius (b, a.u.) to kilometer (km).
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Supports atomic-scale to macroscopic-scale unit conversion.
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Browser-based and easy to use for scientific and educational purposes.
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Provides exact conversion rates sourced from fundamental atomic constants.
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Includes practical examples for clear understanding.
Examples
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Convert 10 Bohr radius to kilometer: 10 × 5.2917724900001e-14 km = 5.29177249e-13 km.
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Convert 1,000 Bohr radius to kilometer: 1,000 × 5.2917724900001e-14 km = 5.29177249e-11 km.
Common Use Cases
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Relating atomic-scale distances to everyday length units for scientific visualization.
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Quantum chemistry and atomic-structure calculations using atomic units.
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Computational physics to express interatomic distances compactly.
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Spectroscopy and scattering problems requiring atomic-unit scaling.
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Educational purposes to bridge microscopic and macroscopic length scales.
Tips & Best Practices
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Use scientific notation to interpret very small conversion results clearly.
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Apply this conversion primarily in interdisciplinary research and educational contexts.
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Avoid using kilometers for atomic-scale distances except for illustrative comparison.
Limitations
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Conversions produce extremely small values due to scale differences.
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Kilometers are generally unsuitable for expressing atomic-scale measurements beyond comparison.
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Scientific notation is often necessary to manage very small output values.
Frequently Asked Questions
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Why convert Bohr radius to kilometers?
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Converting Bohr radius to kilometers helps relate atomic distances to human-scale measurements, improving conceptual understanding in education and research.
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Is it practical to use kilometers for atomic distances?
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Using kilometers for atomic distances is mainly for illustrative or comparative purposes since kilometers are intended for much larger scales.
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What is the exact conversion rate from Bohr radius to kilometer?
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One Bohr radius equals approximately 5.2917724900001×10⁻¹⁴ kilometers.
Key Terminology
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Bohr radius [b, a.u.]
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An atomic unit of length representing the most probable distance between the nucleus and electron in a hydrogen atom's ground state.
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Kilometer [km]
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An SI derived unit of length equal to 1,000 metres, used for measuring human-scale and geographic distances.
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Atomic units
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A system of units convenient for atomic-scale physics and quantum chemistry calculations.