Angstrom to Ell Converter
Convert angstroms to ells with our free online length converter.
Quick Answer
1 Angstrom = 8.748906e-11 ells
Formula: Angstrom × conversion factor = Ell
Use the calculator below for instant, accurate conversions.
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All conversion formulas on UnitsConverter.io have been verified against NIST (National Institute of Standards and Technology) guidelines and international SI standards. Our calculations are accurate to 10 decimal places for standard conversions and use arbitrary precision arithmetic for astronomical units.
Angstrom to Ell Calculator
How to Use the Angstrom to Ell Calculator:
- Enter the value you want to convert in the 'From' field (Angstrom).
- The converted value in Ell will appear automatically in the 'To' field.
- Use the dropdown menus to select different units within the Length category.
- Click the swap button (⇌) to reverse the conversion direction.
How to Convert Angstrom to Ell: Step-by-Step Guide
Converting Angstrom to Ell involves multiplying the value by a specific conversion factor, as shown in the formula below.
Formula:
1 Angstrom = 8.7489e-11 ellsExample Calculation:
Convert 10 angstroms: 10 × 8.7489e-11 = 8.7489e-10 ells
Disclaimer: For Reference Only
These conversion results are provided for informational purposes only. While we strive for accuracy, we make no guarantees regarding the precision of these results, especially for conversions involving extremely large or small numbers which may be subject to the inherent limitations of standard computer floating-point arithmetic.
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Need to convert to other length units?
View all Length conversions →What is a Angstrom and a Ell?
The Angstrom (symbol Å) is a non-SI unit of length equal to exactly 10⁻¹⁰ meters (one ten-billionth of a meter) or 0.1 nanometers (nm). While not part of the modern International System of Units (SI), it remains widely used in various scientific fields due to its convenient scale for atomic and molecular dimensions.
The Angstrom provides a direct way to express sizes at the sub-nanometer level without resorting to fractions or powers of ten. For example, expressing a carbon-carbon bond as "1.54 Å" is more intuitive than "0.154 nm" or "154 pm" for scientists working at the atomic scale.
Relationship to other units:
- 1 Angstrom = 0.1 nanometers (nm)
- 1 Angstrom = 100 picometers (pm)
- 1 Angstrom = 0.0001 micrometers (μm)
- 10 Angstroms = 1 nanometer
- 10 billion Angstroms = 1 meter
Special character note: The proper symbol is Å (capital A with a ring above), not simply "A". This distinguishes it from amperes (A) and other uses of the letter A in scientific notation.
Convert Angstroms to Other Units →
The Ell is an historical unit of length, primarily used for measuring cloth and textiles. Its exact length varied considerably depending on the region, country, and time period, making it a non-standardized unit overall, though often legally defined within specific jurisdictions.
It is generally understood to have originated from the length of the arm or forearm, similar to the cubit. The name itself derives from the Proto-Germanic word *alinō, meaning "forearm".
Common historical values demonstrate this variability:
- English Ell: Traditionally 45 inches (1.25 yards, exactly 1.143 meters). This was the most common ell in England, particularly for measuring imported Flemish cloth.
- Scottish Ell: Approximately 37.06 inches (about 0.941 meters), based on the standard Scottish inch.
- Flemish (or Brabant) Ell: Approximately 27 inches (about 0.686 meters). Widely used in the Low Countries, a major center for textile production.
- French Ell (Aune): Varied, but often around 46.77 inches (about 1.188 meters) in Paris. The aune itself had different lengths in different French regions.
- Polish Ell (Łokieć): Approximately 22.7 inches (about 0.576 meters).
- Swedish Ell (Aln): Approximately 23.3 inches (about 0.593 meters).
Note: The Angstrom is part of the imperial/US customary system, primarily used in the US, UK, and Canada for everyday measurements. The Ell belongs to the imperial/US customary system.
History of the Angstrom and Ell
The Angstrom unit is named after the Swedish physicist Anders Jonas Ångström (1814–1874), one of the founders of the science of spectroscopy. Ångström made groundbreaking contributions to understanding electromagnetic radiation and atomic emission spectra.
In 1868, Ångström published a chart of the solar spectrum, expressing the wavelengths of electromagnetic radiation in sunlight as multiples of 10⁻¹⁰ meters. This scale proved extraordinarily convenient for expressing:
- Atomic radii (typically 0.5-3 Å)
- Chemical bond lengths (typically 1-2 Å)
- Wavelengths of X-rays (1-10 Å)
- Crystal lattice spacings (2-10 Å)
The Angstrom quickly became the standard unit in crystallography, chemistry, and atomic physics throughout the early 20th century. X-ray crystallography, developed by Max von Laue, William Henry Bragg, and William Lawrence Bragg in the 1910s, relied heavily on Angstrom measurements for determining crystal structures.
When the International System of Units (SI) was established in 1960, the Angstrom was officially deprecated in favor of:
- Nanometer (nm) = 10⁻⁹ m (preferred for 0.1-100 nm scales)
- Picometer (pm) = 10⁻¹² m (preferred for atomic-scale measurements)
Despite this official change, the Angstrom persists robustly in scientific literature for several reasons:
- Historical data: Decades of crystallography and spectroscopy literature use Angstroms
- Convenient scale: Atomic dimensions typically fall in the 0.5-5 Å range—easy to work with
- Established conventions: Many scientific fields developed their nomenclature around Angstroms
- Software and databases: Crystallographic databases (PDB, CIF) often default to Angstroms
Today, you will find Angstroms in:
- Protein Data Bank (PDB) files for biomolecular structures
- X-ray diffraction data and crystallographic information files (CIF)
- Chemistry textbooks for bond lengths and atomic radii
- Materials science publications for thin film thickness and surface studies
Learn More About Scientific Units →
The ell was a fundamental unit for the textile trade across Europe, flourishing from the medieval period through the early modern era and into the 19th century. Its origins likely lie in anthropomorphic measurements related to the arm, similar to the cubit.
The lack of a universal standard led to numerous regional variations. Different cities, guilds, or nations established their own "standard" ell, often physically represented by a metal rod kept by authorities. This variation could sometimes be a source of trade disputes but also reflected local manufacturing and trade practices.
The English ell of 45 inches (longer than the standard English yard of 36 inches) became particularly well-established, possibly to account for shrinkage or to provide a customary "bonus" measure when selling cloth.
With the rise of standardized measurement systems like the Imperial system (promoting the yard) and especially the Metric system (introducing the meter), the ell gradually became obsolete during the 18th and 19th centuries. Legal reforms in many countries formally abolished it in favor of metric units.
Common Uses and Applications: angstroms vs ells
Explore the typical applications for both Angstrom (imperial/US) and Ell (imperial/US) to understand their common contexts.
Common Uses for angstroms
1. Crystallography
Crystallographers use Angstroms as the standard unit for crystal structure determination via X-ray, neutron, or electron diffraction. The spacing between atomic planes (d-spacings) in crystals typically ranges from 1-10 Å, making the Angstrom the natural unit. Crystallographic Information Files (CIF) and crystallography software default to Angstrom units.
Convert Crystal Measurements →
2. Atomic and Molecular Physics
Physicists measuring atomic radii, ionic radii, and atomic orbital sizes use Angstroms because typical atomic dimensions fall in the 0.5-5 Å range. Quantum mechanics calculations often output electron densities and orbital sizes in Angstroms for convenient interpretation.
3. Chemistry and Bond Lengths
Chemists specify molecular structures with bond lengths in Angstroms. Chemical databases, molecular modeling software, and computational chemistry programs (like Gaussian, ORCA, and VASP) typically use Angstrom coordinates. This convention allows for easy comparison across decades of chemical literature.
Calculate Molecular Dimensions →
4. Structural Biology
Protein crystallography and cryo-electron microscopy (cryo-EM) express protein structures in Angstroms. The Protein Data Bank (PDB)—the worldwide repository of 3D biological macromolecular structures—uses Angstroms as the standard coordinate unit. Resolutions of protein structures are also reported in Angstroms (e.g., "2.5 Å resolution").
Convert Protein Measurements →
5. X-ray Spectroscopy
X-ray wavelengths naturally fall in the 0.1-100 Å range, making Angstroms the convenient unit for X-ray absorption spectroscopy (XAS), X-ray photoelectron spectroscopy (XPS), and synchrotron radiation experiments. Energy-dispersive X-ray spectroscopy (EDS) also references wavelengths in Angstroms.
6. Thin Film Technology
Materials scientists characterize thin films, coatings, and surface layers in Angstroms, particularly for films thinner than 100 Å (10 nm). Atomic layer deposition (ALD), molecular beam epitaxy (MBE), and physical vapor deposition (PVD) processes often specify thicknesses in Angstroms for precision.
7. Surface Science
Surface scientists studying adsorption, catalysis, and surface reconstruction use Angstroms to measure adsorbate heights, surface step heights (typically 2-4 Å), and interlayer spacings. Scanning tunneling microscopy (STM) and atomic force microscopy (AFM) data are often expressed in Angstroms vertically.
When to Use ells
The ell is now obsolete but was historically crucial for:
- Textile Trade: Its primary and defining use was measuring and selling lengths of cloth (wool, linen, silk, etc.). Cloth was often priced and sold "by the ell".
- Tailoring and Dressmaking: Used by artisans creating garments.
- Mercantile Records: Appears frequently in historical merchant accounts, inventories, customs documents, and trade records. Understanding the local ell is vital for interpreting these economic historical sources.
- Land Measurement (Rarely): In some specific, localized contexts, an ell might have been used for land, but this was uncommon compared to units like the rod or chain.
- Literature and Culture: Referenced in historical texts, literature, and idioms (e.g., "Give him an inch, and he'll take an ell").
Additional Unit Information
About Angstrom (Å)
How many Angstroms are in a meter?
There are 10,000,000,000 (ten billion) Angstroms in one meter (1 m = 10¹⁰ Å). Conversely, 1 Angstrom = 10⁻¹⁰ meters.
To visualize this enormous number: if you lined up 10 billion atoms side by side (each about 1 Å in radius), they would span approximately 1 meter.
Examples:
- 1 meter = 10,000,000,000 Å
- 1 millimeter = 10,000,000 Å
- 1 micrometer = 10,000 Å
- 1 nanometer = 10 Å
How many Angstroms are in a nanometer?
There are exactly 10 Angstroms (Å) in one nanometer (nm). Therefore, 1 Å = 0.1 nm.
This 10:1 ratio makes conversions straightforward:
- 1 nm = 10 Å
- 5 nm = 50 Å
- 0.5 nm = 5 Å
- 0.15 nm = 1.5 Å
Memory trick: Think "A nanometer is 10 Angstroms" (the number 10 is hidden in "ten").
Convert Angstroms to Nanometers →
Is the Angstrom an SI unit?
No, the Angstrom is not part of the International System of Units (SI). The official SI unit for length at this scale is:
- Nanometer (nm) = 10⁻⁹ m (for 0.1-1000 nm scales)
- Picometer (pm) = 10⁻¹² m (for atomic-scale measurements)
Relationship: 1 Å = 0.1 nm = 100 pm
The SI system officially deprecated the Angstrom in 1960, but it remains widely used in crystallography, chemistry, and physics due to historical convention and its convenient scale for atomic dimensions.
Why is the Angstrom still used if it is not an SI unit?
The Angstrom persists due to:
1. Historical Convention: Decades of scientific literature (1868-present) use Angstroms. Converting all historical data would be impractical.
2. Convenient Scale: Atomic radii typically range from 0.5-3 Å—easy whole numbers. In nanometers, these become 0.05-0.3 nm (more decimal places).
3. Established Databases: Major scientific databases default to Angstroms:
- Protein Data Bank (PDB): all coordinates in Angstroms
- Crystallographic Information Files (CIF): lattice parameters in Angstroms
- Chemical structure databases: bond lengths in Angstroms
4. Software Defaults: Most crystallography and molecular modeling software uses Angstroms as the default unit.
5. Intuitive Communication: Saying "1.5 Angstroms" is often clearer than "150 picometers" or "0.15 nanometers" in research discussions.
What fields commonly use Angstroms?
The Angstrom remains common in:
Primary fields:
- Crystallography: X-ray, neutron, and electron diffraction for crystal structure determination
- Structural Biology: Protein and nucleic acid structure determination (PDB files)
- Chemistry: Molecular geometry, bond lengths, and computational chemistry
- Atomic Physics: Atomic radii, orbital sizes, and spectroscopy
Secondary fields:
- Materials Science: Thin films, surface science, and nanostructures
- Spectroscopy: X-ray wavelengths and absorption spectra
- Microscopy: Electron microscopy and scanning probe microscopy
- Semiconductor Physics: Historical or informal references to feature sizes
Compare Different Scientific Units →
How do you type the Angstrom symbol (Å)?
Typing the proper Angstrom symbol Å varies by platform:
Windows:
- Hold Alt and type 0197 on numeric keypad: Å
- Or use Character Map application
Mac:
- Option + Shift + A: Å
Linux:
- Compose key + A + A: Å
- Or Ctrl + Shift + U, then type 00C5, then Enter
HTML/Web:
- HTML entity:
Å→ Å - Unicode:
Å→ Å
LaTeX:
\AAor\r{A}→ Å
Microsoft Word:
- Insert → Symbol → select Å
- Or AutoCorrect: type (A) and it may convert automatically
If the symbol is unavailable, write "Angstrom" or abbreviate as "Ang" in informal contexts.
What is the difference between Angstrom and picometer?
An Angstrom (Å) equals 10⁻¹⁰ meters, while a picometer (pm) equals 10⁻¹² meters. This means 1 Angstrom = 100 picometers.
Scale comparison:
- Angstrom scale: atomic radii, bond lengths (0.5-5 Å = 50-500 pm)
- Picometer scale: ultra-precise bond length measurements, nuclear radii
Examples:
- Hydrogen atom radius: 0.53 Å = 53 pm
- C-H bond length: 1.09 Å = 109 pm
- C-C single bond: 1.54 Å = 154 pm
Usage differences:
- Angstroms: Traditional in chemistry and crystallography (though not SI-compliant)
- Picometers: Official SI unit, required by some journals and standards bodies
Many scientists prefer Angstroms for convenience (whole numbers), while formal SI publications require picometers or nanometers.
Convert Angstroms to Picometers →
How is Angstrom used in protein crystallography?
In protein crystallography, the Angstrom is the standard unit for:
1. Atomic Coordinates: PDB files list x, y, z coordinates of every atom in Angstroms.
2. Resolution: The quality of diffraction data is expressed in Angstroms:
- High resolution: <1.5 Å (individual atoms clearly visible)
- Medium resolution: 1.5-3.0 Å (backbone and side chains visible)
- Low resolution: >3.0 Å (overall fold visible, details limited)
3. Bond Lengths: Standard bond lengths used for structure refinement:
- C-C: 1.54 Å
- C-N: 1.47 Å
- C-O: 1.43 Å
4. Crystal Lattice: Unit cell dimensions (a, b, c axes) are given in Angstroms, typically 50-200 Å.
5. B-factors: Atomic displacement parameters are in Ų (square Angstroms).
Example: "The structure was solved at 2.1 Å resolution with unit cell dimensions a=62.3 Å, b=78.5 Å, c=91.2 Å."
Convert Crystallography Units →
Can I convert Angstroms to inches?
Yes, but it is extremely impractical. Angstroms measure atomic scales, while inches measure everyday objects—a difference of 10 billion!
Conversion: 1 Angstrom = 3.937 × 10⁻⁹ inches (about 0.000000004 inches)
Or inversely: 1 inch = 254,000,000 Å (254 million Angstroms)
Example: A carbon atom with radius 0.77 Å = 0.000000003 inches. This is why scientists use metric units—Angstroms, nanometers, and picometers are far more practical for atomic-scale work.
Convert Angstroms to Practical Units →
Why is it called Angstrom and not Ångström?
The English spelling "Angstrom" is a simplified version of the Swedish name "Ångström" to accommodate keyboards and alphabets without special characters.
Proper Swedish spelling: Anders Jonas Ångström (with the Swedish letter "Å")
Common variations:
- Angstrom (English, without diacritics)
- Ångström (Swedish/original spelling)
- Ångstrom (mixed form)
All refer to the same unit and the same physicist. The symbol Å remains universal across languages, representing both the unit and the first letter of Ångström's name (with the ring above).
In scientific writing, either "Angstrom" or "Ångström" is acceptable, though the simplified "Angstrom" is more common in English-language publications.
About Ell (ell)
How long is an Ell?
There is no single fixed length for the ell; it varied significantly by location and time. Some key examples include:
- English Ell: 45 inches (1.143 m)
- Scottish Ell: ~37 inches (~0.94 m)
- Flemish Ell: ~27 inches (~0.69 m)
- French Aune (Ell): ~47 inches (~1.19 m) Always check the context (region and era) when encountering a measurement in ells. The English ell of 45 inches is often assumed in English-language historical contexts unless otherwise specified.
How does the Ell compare to a Yard?
The English ell (45 inches) is exactly 1.25 times longer than the standard yard (36 inches). However, other ells could be shorter (like the Flemish ell) or have different relationships to the local yard equivalent.
Is the Ell related to the Elbow or Arm?
Yes, the name "ell" derives from Proto-Germanic *alinō ("forearm"), cognate with Latin ulna and Greek ōlénē, all referring to the forearm or elbow. This strongly suggests an origin based on the length of the human arm, similar to the cubit. However, the standardized lengths adopted for trade were often considerably longer than a literal forearm.
Why did the Ell length vary so much?
The variation stemmed from:
- Lack of Universal Standards: Before the metric system, measurement standards were highly localized.
- Regional Customs: Different areas developed their own traditional lengths based on local needs and practices.
- Trade Protectionism: Sometimes, variations were maintained deliberately by guilds or cities.
- Evolution Over Time: The definition could change even within the same region over centuries.
Is the Ell an SI unit?
No, the ell is not part of the International System of Units (SI). It is an historical, customary unit belonging to various pre-metric systems. The corresponding SI unit for length is the meter (m).
Is the Ell still used today?
No, the ell is obsolete and is not used for any standard commercial, scientific, or practical measurements today. Its use was superseded primarily by the yard (in Imperial/US customary systems) and the meter (in the metric system). Its relevance is now purely historical.
Conversion Table: Angstrom to Ell
| Angstrom (Å) | Ell (ell) |
|---|---|
| 0.5 | 0 |
| 1 | 0 |
| 1.5 | 0 |
| 2 | 0 |
| 5 | 0 |
| 10 | 0 |
| 25 | 0 |
| 50 | 0 |
| 100 | 0 |
| 250 | 0 |
| 500 | 0 |
| 1,000 | 0 |
People Also Ask
How do I convert Angstrom to Ell?
To convert Angstrom to Ell, enter the value in Angstrom in the calculator above. The conversion will happen automatically. Use our free online converter for instant and accurate results. You can also visit our length converter page to convert between other units in this category.
Learn more →What is the conversion factor from Angstrom to Ell?
The conversion factor depends on the specific relationship between Angstrom and Ell. You can find the exact conversion formula and factor on this page. Our calculator handles all calculations automatically. See the conversion table above for common values.
Can I convert Ell back to Angstrom?
Yes! You can easily convert Ell back to Angstrom by using the swap button (⇌) in the calculator above, or by visiting our Ell to Angstrom converter page. You can also explore other length conversions on our category page.
Learn more →What are common uses for Angstrom and Ell?
Angstrom and Ell are both standard units used in length measurements. They are commonly used in various applications including engineering, construction, cooking, and scientific research. Browse our length converter for more conversion options.
For more length conversion questions, visit our FAQ page or explore our conversion guides.
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⚖️ Metric vs Imperial
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Other Length Units and Conversions
Explore other length units and their conversion options:
- Meter (m) • Angstrom to Meter
- Kilometer (km) • Angstrom to Kilometer
- Hectometer (hm) • Angstrom to Hectometer
- Decimeter (dm) • Angstrom to Decimeter
- Centimeter (cm) • Angstrom to Centimeter
- Millimeter (mm) • Angstrom to Millimeter
- Inch (in) • Angstrom to Inch
- Foot (ft) • Angstrom to Foot
- Yard (yd) • Angstrom to Yard
- Mile (mi) • Angstrom to Mile
Verified Against Authority Standards
All conversion formulas have been verified against international standards and authoritative sources to ensure maximum accuracy and reliability.
National Institute of Standards and Technology — Official US standards for length measurements
Bureau International des Poids et Mesures — International System of Units official documentation
Last verified: February 19, 2026