Angstrom to Shaku (Japanese) Conversion Calculator: Free Online Tool
Convert angstroms to shaku with our free online length converter.
Angstrom to Shaku (Japanese) Calculator
How to Use the Calculator:
- Enter the value you want to convert in the 'From' field (Angstrom).
- The converted value in Shaku (Japanese) 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 Shaku (Japanese)
Converting Angstrom to Shaku (Japanese) involves multiplying the value by a specific conversion factor, as shown in the formula below.
Formula:
1 Angstrom = 3.3003e-10 shakuExample Calculation:
Convert 10 angstroms: 10 × 3.3003e-10 = 3.3003e-9 shaku
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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What is a Angstrom and a Shaku (Japanese)?
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 Shaku (尺) is a traditional Japanese unit of length, forming a fundamental part of the traditional Japanese system of weights and measures known as the Shakkanhō (尺貫法). It is roughly equivalent to the English foot, although slightly shorter in its modern standardized form.
The Shaku is traditionally subdivided and multiplied decimally:
- 1 Jō (丈) = 10 Shaku
- 1 Shaku (尺) = 10 Sun (寸 - Japanese inch)
- 1 Sun (寸) = 10 Bu (分 - Japanese line)
There were historically different types of shaku, most notably the standard kanejaku (曲尺) used in carpentry and the longer kujirajaku (鯨尺) used for measuring cloth. Unless otherwise specified, "shaku" usually refers to the kanejaku.
Note: The Angstrom is part of the imperial/US customary system, primarily used in the US, UK, and Canada for everyday measurements. The Shaku (Japanese) belongs to the imperial/US customary system.
History of the Angstrom and Shaku (Japanese)
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 Shaku originated from the Chinese Chi (尺), introduced to Japan likely between the 3rd and 6th centuries AD. Like its Chinese counterpart, the length of the Shaku varied considerably across different historical periods and regions in Japan.
- Early Adoption: Early Japanese measurements were heavily influenced by Chinese standards, but the length of the Shaku began to diverge over time.
- Edo Period (1603–1868): Different standards coexisted, including the kanejaku (carpenter's shaku) and the kujirajaku (cloth shaku, literally "whale shaku," possibly referring to rulers made from whale baleen). The kanejaku became the more common standard for general measurement.
- Meiji Restoration (1868 onwards): Japan began modernizing and standardizing its systems. In 1891, the Weights and Measures Act defined the standard Shaku (kanejaku) legally in relation to the metric system as exactly 10/33 of a meter. This aimed to provide a precise conversion factor while preserving the traditional unit. The kujirajaku was defined as 1.25 times the kanejaku (i.e., 12.5/33 of a meter).
- Metrication: Japan officially adopted the metric system in 1951, and its use became mandatory for most official and commercial transactions by 1966. However, the Shaku and other Shakkanhō units remain in use in specific traditional fields.
Common Uses for angstroms and shaku
Explore the typical applications for both Angstrom (imperial/US) and Shaku (Japanese) (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 shaku
While the metric system is standard in Japan, the Shaku persists in several areas:
- Traditional Japanese Architecture and Carpentry: The kanejaku is still widely used for measurements in building temples, shrines, traditional houses, and making furniture. Architectural modules like the ken (間) are often based on the Shaku. Japanese woodworking tools are often sized or marked in Shaku and Sun.
- Kimono and Traditional Clothing: The kujirajaku is the standard unit for measuring cloth width (tanmono) and dimensions when making kimonos and yukatas.
- Traditional Crafts: Used in making items like tatami mats, shōji screens, and other traditional crafts where historical dimensions are important.
- Musical Instruments: The length of traditional Japanese instruments, notably the shakuhachi (尺八) flute, is measured in Shaku and Sun (its name literally means "1.8 shaku").
- Martial Arts: Some traditional martial arts (koryū budō) may use Shaku-based measurements for weapon lengths (e.g., jō, bō) or stance dimensions.
- Gardening and Landscaping: Traditional Japanese garden design sometimes employs Shaku-based proportions.
- Historical and Cultural Context: Essential for understanding dimensions in historical texts, art, and artifacts.
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 Shaku (Japanese) (shaku)
How long is a Shaku?
The length depends on the context (historical vs. modern, type of shaku):
- Modern Standardized Kanejaku (since 1891):
- Exactly 10/33 meters (m)
- Approximately 0.30303 meters
- Approximately 30.303 centimeters (cm)
- Approximately 11.93 inches (in)
- Approximately 0.994 feet (ft)
- Modern Standardized Kujirajaku:
- Exactly 12.5/33 meters (m) (1.25 times the kanejaku)
- Approximately 0.37879 meters
- Approximately 37.879 centimeters (cm)
- Approximately 14.91 inches (in)
- Approximately 1.243 feet (ft)
- Historical Shaku: Varied significantly, often differing from the modern standard.
What are the subdivisions and multiples of the Shaku?
The system is decimal:
- Subdivisions: 1 Shaku = 10 Sun (寸); 1 Sun = 10 Bu (分).
- Multiples: 1 Jō (丈) = 10 Shaku. Another related unit is the Ken (間), traditionally 6 Shaku, though its length could vary.
Is it the same as the Chinese Chi?
No. Although the Japanese Shaku originated from the Chinese Chi (both written with the character 尺), they evolved independently and have different standardized lengths today.
- Modern Japanese Shaku (kanejaku): 10/33 meters (≈ 0.303 m)
- Modern Chinese Chi: 1/3 meter (≈ 0.333 m) The Shaku is noticeably shorter than the modern Chi.
What is the difference between kanejaku and kujirajaku?
They are two distinct traditional Shaku units:
- Kanejaku (曲尺): The "carpenter's shaku," used for general measurement, architecture, and woodworking. Standardized at 10/33 meters. This is the default meaning of "Shaku."
- Kujirajaku (鯨尺): The "cloth shaku" or "whale shaku," used primarily for measuring cloth, especially for kimonos. It is longer than the kanejaku, standardized at 12.5/33 meters (exactly 1.25 times the kanejaku).
Is the Shaku an SI unit?
No, the Shaku is not an SI unit. It is a traditional Japanese unit belonging to the Shakkanhō system. The SI base unit for length is the meter (m).
Is the Shaku still used today?
Yes, although Japan officially uses the metric system (SI units) for most purposes, the Shaku (both kanejaku and kujirajaku) continues to be used in specific traditional fields:
- Traditional architecture and carpentry.
- Kimono making and textile measurement.
- Other traditional crafts.
- Musical instrument making (e.g., shakuhachi).
- Historical and cultural studies. It is generally not used in everyday commerce or scientific contexts.
Conversion Table: Angstrom to Shaku (Japanese)
| Angstrom (Å) | Shaku (Japanese) (shaku) |
|---|---|
| 1 | 0 |
| 5 | 0 |
| 10 | 0 |
| 25 | 0 |
| 50 | 0 |
| 100 | 0 |
| 500 | 0 |
| 1,000 | 0 |
All Length Conversions
Other Units from Length
- Meter (m)
- Kilometer (km)
- Hectometer (hm)
- Decimeter (dm)
- Centimeter (cm)
- Millimeter (mm)
- Inch (in)
- Foot (ft)
- Yard (yd)
- Mile (mi)
- Nautical Mile (NM)
- Micrometer (μm)
- Nanometer (nm)
- Light Year (ly)
- Astronomical Unit (AU)
- Parsec (pc)
- Point (Typography) (pt)
- Mil/Thou (mil)
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- Digit (digit)
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- Ell (ell)
- Finger (finger)
- Roman Mile (m.p.)
- Stadion (stadion)
- Chi (Chinese) (chi)
- Li (Chinese) (li)
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- Bolt (bolt)
- Rope (rope)
- Smoot (smoot)
- Sajene (sajene)
- Ken (ken)
- Wa (wa)
- Vara (vara)
- Aln (aln)
- Cubit (Royal/Egyptian) (cubit)
- Versta (versta)
- Arpent (arpent)
- Ri (Japanese) (ri)
- Klafter (klafter)
- Yojana (yojana)
- Skein (skein)