Ell to Angstrom Conversion Calculator: Free Online Tool
Convert ells to angstroms with our free online length converter.
Ell to Angstrom Calculator
How to Use the Calculator:
- Enter the value you want to convert in the 'From' field (Ell).
- The converted value in Angstrom 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 Ell to Angstrom
Converting Ell to Angstrom involves multiplying the value by a specific conversion factor, as shown in the formula below.
Formula:
1 Ell = 1.1430e+10 angstroms
Example Calculation:
Convert 10 ells: 10 × 1.1430e+10 = 1.1430e+11 angstroms
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.
Not for professional use. Results should be verified before use in any critical application. View our Terms of Service for more information.
What is a Ell and a Angstrom?
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).
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. It provides a direct way to express sizes at the sub-nanometer level without resorting to fractions or powers of ten for nanometers.
Note: The Ell is part of the imperial/US customary system, primarily used in the US, UK, and Canada for everyday measurements. The Angstrom belongs to the imperial/US customary system.
History of the Ell and Angstrom
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.
The Angstrom unit is named after the Swedish physicist Anders Jonas Ångström (1814–1874), one of the founders of the science of spectroscopy. Ångström used this unit in 1868 to create a chart of the wavelengths of electromagnetic radiation in sunlight, expressing them as multiples of 10⁻¹⁰ meters. This scale proved extremely convenient for expressing atomic radii, chemical bond lengths, and the wavelengths of X-rays. Although the nanometer (nm) and picometer (pm) are the preferred SI units for these scales today, the Angstrom's historical prevalence means it persists in many scientific disciplines, particularly in crystallography, atomic physics, and chemistry literature.
Common Uses for ells and angstroms
Explore the typical applications for both Ell (imperial/US) and Angstrom (imperial/US) to understand their common contexts.
Common Uses for 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").
Common Uses for angstroms
The Angstrom is frequently used to measure dimensions at the atomic scale:
- Atomic Radii: Expressing the size of atoms (e.g., the covalent radius of a carbon atom is about 0.77 Å).
- Chemical Bond Lengths: Measuring the distance between nuclei in molecules (e.g., the O-H bond length in water is about 0.96 Å).
- Crystallography: Describing the dimensions of crystal lattices and the spacing between atomic planes, often determined using X-ray diffraction.
- Spectroscopy: Specifying the wavelengths of X-rays and some ultraviolet light.
- Microscopy: Measuring features in electron microscopy images.
- Integrated Circuits: Sometimes used historically or informally to describe feature sizes in semiconductor manufacturing, although nanometers are now standard.
Frequently Asked Questions
Questions 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.
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.
How many Angstroms are in a nanometer?
There are exactly 10 Angstroms (Å) in one nanometer (nm). Therefore, 1 Å = 0.1 nm.
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 the nanometer (nm) (10⁻⁹ m) or the picometer (pm) (10⁻¹² m). 1 Å = 100 pm.
Why is the Angstrom still used if it's not an SI unit?
The Angstrom persists due to historical convention and its convenient size for atomic-scale measurements. Many scientific fields, like crystallography and atomic physics, developed using the Angstrom, and much historical data and literature use it. Its scale (0.1 nm) often allows for expressing atomic dimensions as numbers close to unity without decimals or exponents, which can be convenient.
What fields commonly use Angstroms?
The Angstrom remains common in:
- Crystallography: Describing crystal structures and diffraction patterns.
- Atomic Physics: Measuring atomic radii and energy level transitions.
- Chemistry: Specifying molecular bond lengths and structures.
- Spectroscopy: Particularly for X-ray wavelengths.
- Materials Science: Characterizing thin films and nanostructures.
- Structural Biology: Describing protein and nucleic acid structures.
Conversion Table: Ell to Angstrom
Ell (ell) | Angstrom (Å) |
---|---|
1 | 11,430,000,000 |
5 | 57,150,000,000 |
10 | 114,300,000,000 |
25 | 285,750,000,000 |
50 | 571,500,000,000 |
100 | 1,143,000,000,000 |
500 | 5,715,000,000,000 |
1,000 | 11,430,000,000,000 |
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