What Is This Tool?
This unit converter enables seamless conversion between the Bohr radius and the atomic unit of length (a.u.), two identical units commonly applied in quantum chemistry, atomic physics, and computational physics to express atomic-scale distances.
How to Use This Tool?
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Enter the numeric value in Bohr radius units [b, a.u.] you want to convert
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Select Bohr radius as the input unit and a.u. of length as the output unit
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Click convert to get the equivalent measurement in atomic units of length
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Use the converted value in your atomic-scale or quantum chemistry calculations
Key Features
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Converts between Bohr radius and atomic unit of length with a 1:1 ratio
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Ideal for simplifying quantum mechanics and atomic-scale calculations
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Supports accurate expression of electron–proton separations in atomic systems
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Facilitates comparison across different computational methods and models
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Browser-based, easy to use with no prior setup required
Examples
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5 Bohr radius [b, a.u.] equals 5 A.u. of length [a.u., b]
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0.1 Bohr radius [b, a.u.] equals 0.1 A.u. of length [a.u., b]
Common Use Cases
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Quantum chemistry calculations involving atomic units
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Computational physics methods such as density functional theory (DFT)
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Spectroscopy and scattering problems using atomic-scale measurements
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Reporting electron orbital sizes and radial probability distributions
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Specifying atomic geometries and interatomic distances in simulations
Tips & Best Practices
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Remember that both units represent the same physical length, so values remain unchanged during conversion
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Use this converter to maintain unit clarity in computational outputs and reports
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Apply this tool primarily for atomic and molecular scale measurements, not macroscopic lengths
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Verify unit consistency when working between different quantum mechanical software or datasets
Limitations
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Conversion does not change the magnitude since the units are identical
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Applicability is confined to atomic-scale and quantum mechanical length measurements
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Not suitable for measurements outside atomic or molecular physics contexts
Frequently Asked Questions
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Are the Bohr radius and a.u. of length different units?
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No, they are the same atomic unit of length representing the typical electron-proton distance in hydrogen and share an exact 1:1 conversion.
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Why convert between Bohr radius and atomic units of length if they are equal?
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Converting explicitly helps maintain clarity and unit consistency in computational outputs and theoretical models within atomic-scale physics and chemistry.
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Is this converter useful for macroscopic length measurements?
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No, both units apply only to atomic-scale lengths and are not intended for larger scale or everyday length measurements.
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 the electron in a hydrogen atom's ground state.
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A.u. of length [a.u., b]
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An atomic unit of length identical to the Bohr radius, used to express atomic-scale distances in quantum mechanics and computational physics.