What is a fathom (US survey)?

It is a legacy nautical unit of length equal to 6 US survey feet, mainly used to measure water depths and cable lengths.

What does atomic unit of length represent?

The atomic unit of length is the Bohr radius, a fundamental scale in atomic physics representing electron-proton separation.

Why convert fathoms to atomic units of length?

To translate macroscopic nautical measurements into atomic-scale units for scientific research and quantum chemistry.

How to Convert from Fathom (US survey) to A.u. of Length

Convert measurements from fathom (US survey), a nautical length unit, to atomic units of length for use in atomic and molecular physics contexts with this online converter tool.

Fathom (US survey) [fath]

A.u. of length [a.u., b]

Please check your input. It must be a valid numeric value.

Fathom (US survey) [fath] to A.u. of length [a.u., b] Conversion Table

Fathom (US survey) [fath]	A.u. of length [a.u., b]

Custom Unit Conversion Table Generator – Instant Printable Conversion Tables

Start Value

Enter the starting number (positive decimal or integer ≥ 0). Example: 0.1, 1, 5.

End Value

Enter the ending number (positive decimal or integer > Start Value). Example: 10, 50, 100.

Interval

Enter the step size (positive decimal > 0 and < End Value – Start Value). Example: 1.0, 2.5.

Fathom (US survey) [fath] to A.u. of length [a.u., b] Conversion Table
Fathom (US survey) [fath]	A.u. of length [a.u., b]

Explore More Length Units Converter

What Is This Tool?

This tool converts lengths measured in the US survey fathom, a unit commonly used in nautical and hydrographic settings, into atomic units of length used in atomic physics and quantum chemistry.

How to Use This Tool?

Enter the value in fathoms (US survey) you wish to convert.
Select the unit to convert from as fathom (US survey).
Choose atomic unit of length as the target unit.
Submit the conversion to obtain the equivalent value in atomic units.

Key Features

Transforms fathom (US survey) units into atomic units of length (Bohr radius).
Facilitates comparison between macroscopic nautical measurements and atomic scale distances.
Supports conversion for scientific and legacy data reconciliation purposes.

Examples

2 fathoms (US survey) equals 69,118,755,995.774 atomic units of length.
0.5 fathoms (US survey) corresponds to 17,279,688,998.9435 atomic units of length.

Common Use Cases

Recording historical water depths and soundings from nautical surveys.
Reconciliating nautical and hydrographic measurements with atomic or quantum models.
Expressing electron orbital sizes and atomic geometries in quantum chemistry computations.

Tips & Best Practices

Verify the unit definitions to ensure the use of US survey fathom rather than international fathom.
Understand that atomic units represent very small scales, so converted values will be extremely large numbers.
Use the conversion primarily for scientific or research contexts bridging nautical and atomic scale measurements.

Limitations

US survey fathom slightly differs from the international fathom leading to possible discrepancies.
Atomic units are specialized for theoretical physics and may not suit practical length measurements.
Extremely large conversion results require careful numerical management to avoid errors.

Frequently Asked Questions

What is a fathom (US survey)?: It is a legacy nautical unit of length equal to 6 US survey feet, mainly used to measure water depths and cable lengths.
What does atomic unit of length represent?: The atomic unit of length is the Bohr radius, a fundamental scale in atomic physics representing electron-proton separation.
Why convert fathoms to atomic units of length?: To translate macroscopic nautical measurements into atomic-scale units for scientific research and quantum chemistry.

Key Terminology

Fathom (US survey): A non-SI unit of length equal to 6 US survey feet used in nautical measurement.
Atomic unit of length: The Bohr radius, a length scale in atomic physics defining electron-proton separation.
Bohr radius: The characteristic atomic scale length used in quantum mechanics symbolizing average electron distance from the nucleus.

Quick Knowledge Check

What is the US survey fathom mainly used for?

Measuring atomic-scale distances

Recording water depths and nautical line lengths

Calculating quantum mechanical models

The atomic unit of length is based on which physical concept?

Length of a meter

The Bohr radius representing electron-proton distance

Distance between two ships at sea

Why might the conversion from fathoms (US survey) to atomic units yield very large numbers?

Because fathoms are extremely small units

Because atomic units are on an atomic scale, much smaller than fathoms

Because the conversion factor is close to 1

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