Angstrom to Ken Conversion Calculator: Free Online Tool

Convert angstroms to ken with our free online length converter.

Angstrom to Ken Calculator

Angstrom
Ken

How to Use the Calculator:

  1. Enter the value you want to convert in the 'From' field (Angstrom).
  2. The converted value in Ken will appear automatically in the 'To' field.
  3. Use the dropdown menus to select different units within the Length category.
  4. Click the swap button (⇌) to reverse the conversion direction.

How to Convert Angstrom to Ken

Converting Angstrom to Ken involves multiplying the value by a specific conversion factor, as shown in the formula below.

Formula:

1 Angstrom = 5.5006e-11 ken

Example Calculation:

Convert 10 angstroms: 10 × 5.5006e-11 = 5.5006e-10 ken

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 Angstrom and a Ken?

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.

The Ken (間) is a traditional Japanese unit of length, primarily used in architecture and related fields. It is fundamentally defined as being equal to 6 Shaku (尺). Based on the modern standardized kanejaku Shaku (10/33 meters), the Ken is equivalent to:

  • 6 * (10/33) = 60/33 = 20/11 meters
  • Approximately 1.818 meters
  • Approximately 5.965 feet

Historically, the Ken represented the interval between pillars in traditional Japanese buildings and served as a fundamental module for architectural design, influencing room sizes and the dimensions of elements like tatami mats.

Note: The Angstrom is part of the imperial/US customary system, primarily used in the US, UK, and Canada for everyday measurements. The Ken belongs to the imperial/US customary system.

History of the Angstrom and Ken

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.

The concept of the Ken, like the Shaku, originated from Chinese architectural practices (where the equivalent unit is Jian 間). It was adopted into Japan along with other elements of Chinese culture and measurement systems.

  • Early Use: The Ken was used early on as a standard interval in temple and palace construction. Its length, however, was not strictly fixed and could vary based on the specific building style, region, or period. It was often tied directly to the prevailing length of the Shaku.
  • Standardization Attempts: Over time, particularly during the Edo period (1603–1868), attempts were made to standardize measurements. The Ken became strongly associated with architectural modules. Two prominent regional standards emerged:
    • Kyōma (京間): The Kyoto module, typically based on a slightly larger Ken (often around 6.5 Shaku or based on tatami dimensions), leading to larger room sizes.
    • Inakama (田舎間) / Edoma (江戸間): The rural or Edo (Tokyo) module, typically adhering more closely to the 6 Shaku standard or sometimes slightly smaller (e.g., 6.3 Shaku), resulting in slightly smaller rooms. This became more common.
  • Meiji Restoration (1868 onwards): With the standardization of the Shaku at 10/33 meters in 1891, the Ken was implicitly standardized as 6 Shaku = 20/11 meters (approx. 1.818 m). This is the value generally understood as the modern Ken.
  • Metrication: Although Japan officially adopted the metric system, the Ken remains a crucial unit in traditional architecture and related fields.

Common Uses for angstroms and ken

Explore the typical applications for both Angstrom (imperial/US) and Ken (imperial/US) to understand their common contexts.

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.

Common Uses for ken

The Ken's primary importance lies in its role as an architectural module:

  • Traditional Japanese Architecture: It defines the standard bay (pillar-to-pillar distance) in the ken module system (kenshin system 間真). This dictates the layout and proportions of temples, shrines, traditional houses (minka), teahouses, and castles. Room sizes are often described in terms of tatami mats, whose standard dimensions (historically 1 Ken by 0.5 Ken) are derived from the Ken.
  • Construction and Carpentry: Used for planning layouts, cutting timber, and sizing building components like fusuma (sliding doors) and shōji (screens).
  • Real Estate and Land: Room sizes in Japan are often measured by the number of tatami mats they can hold (e.g., a "6-mat room" - 六畳 rokujō), which indirectly relates to the Ken. Historically, it was also used for land parcel dimensions.
  • Martial Arts: The concept of distance or interval (maai 間合い) between opponents is crucial and sometimes measured or conceptualized in terms of Ken. The length of certain weapons, like the (staff), is often around 1 Ken (6 Shaku).
  • Traditional Garden Design: Used for establishing proportions and spacing elements within Japanese gardens.
  • Cultural and Historical Context: Understanding the Ken is essential for interpreting historical architectural plans, documents, and cultural descriptions of space.

Frequently Asked Questions

Questions 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.

About Ken (ken)

How long is a Ken?

The modern standard Ken is defined as 6 Shaku. Using the standardized kanejaku Shaku (10/33 m):

  • 1 Ken = 20/11 meters
  • Approximately 1.818 meters
  • Approximately 181.8 centimeters
  • Approximately 5.965 feet
  • Approximately 71.58 inches Historical and regional variations (like the kyōma) existed, often resulting in slightly different lengths.

How does the Ken relate to the Shaku?

The Ken is a direct multiple of the Shaku:

  • 1 Ken = 6 Shaku

Is the Ken related to the Tatami mat?

Yes, very closely. The standard size of a tatami mat was traditionally defined in relation to the Ken, typically 1 Ken long by 0.5 Ken wide (though dimensions varied slightly with regional modules like kyōma and inakama). Room sizes are often measured by the number of tatami mats they contain.

Is the Ken an SI unit?

No, the Ken is not an SI unit. It is a traditional Japanese unit belonging to the Shakkanhō (尺貫法) system. The SI base unit for length is the meter (m).

Is the Ken still used today?

Yes. While the metric system is the official standard in Japan for commerce and science, the Ken remains highly relevant and actively used in:

  • Traditional Japanese architecture, design, and construction.
  • Carpentry and traditional crafts.
  • Real estate descriptions (indirectly via tatami count).
  • Martial arts contexts.
  • Cultural and historical studies.
  • Traditional garden design.

Conversion Table: Angstrom to Ken

Angstrom (Å)Ken (ken)
10
50
100
250
500
1000
5000
1,0000

All Length Conversions

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