What Is This Tool?
This tool allows users to convert length values from picometers, a unit used for extremely small atomic distances, to atomic units of length based on the Bohr radius, which is essential in atomic and quantum physics.
How to Use This Tool?
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Enter the length value in picometers (pm) you wish to convert
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Select picometer as the source unit and a.u. of length as the target unit
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Click convert to get the length expressed in atomic units of length (a.u., b)
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Use the converted value for applications in atomic and molecular physics or quantum chemistry
Key Features
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Accurate conversion from picometers to atomic units of length (a.u., b)
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Useful for atomic-scale and quantum mechanical length measurements
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Browser-based and easy to use without any installation
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Supports scientific calculations involving electron orbitals and atomic geometries
Examples
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10 pm equals 0.188972599 a.u. of length
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50 pm equals 0.944862995 a.u. of length
Common Use Cases
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Describing atomic and molecular bond lengths in chemistry and molecular physics
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Reporting interatomic spacings in solid-state physics and materials science
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Expressing electron orbital sizes and radial distributions in atomic physics
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Simplifying numerical work in quantum-chemistry calculations like Hartree–Fock and DFT
Tips & Best Practices
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Verify units before and after conversion to ensure accuracy in your calculations
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Use this conversion tool specifically for atomic-scale length measurements, not macroscopic distances
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Keep in mind the atomic unit of length is based on nonrelativistic quantum mechanical models
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Apply the converted values to simplify theoretical models and analysis in quantum chemistry
Limitations
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The conversion is valid only within atomic-scale, non-relativistic quantum contexts
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Not intended for larger-scale or relativistic measurements
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High numerical precision is needed due to very small values involved
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Does not accommodate conversions outside the scope of atomic physics units
Frequently Asked Questions
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What does a picometer measure?
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A picometer is an SI unit of length equal to 10⁻¹² meters, used for measuring extremely small distances such as atomic bond lengths.
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What is the atomic unit of length?
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The atomic unit of length is the Bohr radius, a fundamental length scale in atomic physics approximately equal to 5.29177210903×10⁻¹¹ meters.
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When should I use this picometer to a.u. conversion?
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Use this conversion to express atomic-scale distances in terms that simplify quantum mechanical calculations and analyses in atomic and molecular physics.
Key Terminology
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Picometer (pm)
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An SI unit of length equal to 10⁻¹² meters, used to measure extremely small distances at the atomic scale.
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Atomic unit of length (a.u., b)
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The Bohr radius representing the typical distance between an electron and proton in hydrogen, used as a length unit in atomic physics.
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Bohr radius
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A fundamental atomic scale unit approximately equal to 5.29177210903×10⁻¹¹ meters, used as the basis for the atomic unit of length.