Metric prefix
A metric prefix, also known as an SI prefix, is a standardized affix used in the International System of Units (SI) to form decimal multiples and submultiples of SI units by powers of 10, enabling the concise expression of quantities across vast scales.[1] These prefixes, derived primarily from Greek and Latin roots, range from quetta- (symbol Q, factor 10³⁰) for the largest multiples to quecto- (symbol q, factor 10⁻³⁰) for the smallest submultiples, with 24 prefixes currently recognized to cover scientific, engineering, and practical applications.[1] The system of metric prefixes originated in 1795 with the adoption of eight initial prefixes—deca, hecto, kilo, myria, deci, centi, milli, and myrio—during the early development of the metric system in France, formalized by the first General Conference on Weights and Measures (CGPM) in 1889.[2] Over time, the set expanded to address growing needs in measurement precision: myria and myrio were obsoleted in 1960, while new prefixes were added through CGPM resolutions, including mega, giga, tera, micro, nano, and pico in 1960 (totaling 12); femto and atto in 1964 (14); peta and exa in 1975 (16); zetta, yotta, zepto, and yocto in 1991 (20); and most recently, ronna, quetta, ronto, and quecto in 2022 (24).[2] This evolution reflects advancements in fields like physics, computing, and cosmology, where prefixes such as tera- (10¹²) and femto- (10⁻¹⁵) are essential for denoting phenomena from planetary masses to atomic interactions.[3] Prefixes are applied to SI base units and derived units (e.g., kilometer for 10³ meters, nanosecond for 10⁻⁹ seconds) following strict rules: they must not be combined with each other or used with non-decimal systems like binary prefixes (e.g., kibi- for 2¹⁰), and symbols are written in upright type without spaces or hyphens from the unit symbol.[1] This standardization, maintained by the International Bureau of Weights and Measures (BIPM), ensures global consistency in scientific communication, commerce, and technology, with ongoing relevance as measurement scales expand in areas like data storage and quantum science.[4]History and Development
Origins in the Metric System
The metric system emerged in late 18th-century France amid the revolutionary fervor following the French Revolution of 1789, as reformers sought to establish a rational, decimal-based framework for measurements that would unify the nation and transcend local variations. Prior to this, France employed over 700 disparate units influenced by regional customs, human anatomy, and feudal traditions, leading to inconsistencies in trade, science, and administration. The National Assembly, responding to widespread demands for standardization, commissioned scientists in 1790 to devise a universal system grounded in natural invariants, such as fractions of the Earth's meridian, to ensure invariance and accessibility. This initiative reflected Enlightenment ideals of reason and equality, aiming to replace arbitrary seigneurial measures with a coherent, decimal structure applicable across disciplines.[5][6] On 7 April 1795, the French Academy of Sciences formally introduced the initial set of metric prefixes as part of the decimal metric system's legal adoption, enabling scalable multiples and submultiples of base units like the meter (for length) and kilogram (for mass) without redefining the fundamentals. The prefixes included myria- for 10⁴, kilo- for 10³, centi- for 10⁻², and milli- for 10⁻³, derived from Greek and Latin roots to denote powers of ten and facilitate everyday and scientific applications. These were among eight original prefixes—also encompassing deca-, hecto-, deci-, and myrio-—designed to create a harmonious progression from large to small scales, such as myriameter for vast distances or millimeter for precise dimensions. Key figures in this development included Jean-Charles de Borda, who chaired the 1791 commission defining the meter and advocated for decimal coherence, and Pierre Méchain, who, alongside Jean-Baptiste Delambre, conducted meridian measurements from 1792 to 1798 to calibrate the system empirically.[2][5] The introduction of these prefixes played a pivotal role in supplanting the patchwork of local units, such as the varying toises and livres across provinces, by allowing consistent decimal adjustments to base units for practical use in agriculture, commerce, and emerging industries. For instance, prefixes enabled the expression of a kilometer as 1,000 meters or a centigram as 0.01 gram, promoting interoperability without proliferation of new units. This foundational approach to scaling underscored the metric system's emphasis on simplicity and universality, laying the groundwork for its gradual international adoption despite initial resistance.[2][5]Standardization and Evolution
The International System of Units (SI) was formally established in 1960 by the 11th General Conference on Weights and Measures (CGPM), which adopted a coherent set of decimal prefixes to facilitate the expression of multiples and submultiples of SI units, including the base set such as deca-, hecto-, kilo-, deci-, centi-, milli-, and micro-, while adding mega-, giga-, tera-, nano-, and pico-.[2] This marked the transition from earlier ad hoc metric practices to a regulated international framework, with the CGPM obsoleting outdated prefixes like myria- and myrio- to streamline usage.[2] Subsequent expansions addressed growing scientific and technological demands. In 1964, the 12th CGPM introduced femto- (10^{-15}) and atto- (10^{-18}) for subatomic scales. The 15th CGPM in 1975 added peta- (10^{15}) and exa- (10^{18}) to accommodate large-scale measurements in fields like computing and energy. Further extension occurred in 1991 at the 19th CGPM, incorporating zetta- (10^{21}), zepto- (10^{-21}), yotta- (10^{24}), and yocto- (10^{-24}) to span an even broader range of magnitudes. The most recent update came in 2022 at the 27th CGPM, which added ronna- and ronto- (10^{27} and 10^{-27}) along with quetta- and quecto- (10^{30} and 10^{-30}), driven by needs in big data storage—such as quettabytes for exascale computing—and cosmological studies of sub-Planck scales.[7][8] This expansion brought the total to 24 prefixes, covering 10^{-30} to 10^{30} and ensuring decimal coherence across disciplines.[1] The International Bureau of Weights and Measures (BIPM) plays a central role in maintaining and updating the SI prefix list, recommending revisions to the CGPM based on metrological advancements and international consensus to preserve the system's uniformity and precision. Over time, this process has evolved from fragmented national conventions—rooted in 18th-century French origins—into a strictly regulated global standard.Standard SI Prefixes
Complete List of Prefixes
The International System of Units (SI) defines 24 prefixes for forming decimal multiples and submultiples of SI units, ranging from 10^{-30} to 10^{30}. These prefixes were established and expanded through resolutions of the General Conference on Weights and Measures (CGPM), with the most recent additions approved in 2022 to accommodate growing needs in scientific measurement, such as in data storage and particle physics.[1][7] The following table lists all approved SI prefixes in order from the smallest (submultiples) to the largest (multiples), including their names, symbols, powers of 10, and years of formal adoption where specified by the International Bureau of Weights and Measures (BIPM). Years reflect CGPM resolutions; earlier prefixes like deci and centi date to the original metric system's adoption in 1795 but were standardized in the SI in 1960.[1][4]| Prefix Name | Symbol | Power of 10 | Year of Adoption |
|---|---|---|---|
| quecto | q | 10^{-30} | 2022 |
| ronto | r | 10^{-27} | 2022 |
| yocto | y | 10^{-24} | 1991 |
| zepto | z | 10^{-21} | 1991 |
| atto | a | 10^{-18} | 1964 |
| femto | f | 10^{-15} | 1964 |
| pico | p | 10^{-12} | 1960 |
| nano | n | 10^{-9} | 1960 |
| micro | µ | 10^{-6} | 1960 |
| milli | m | 10^{-3} | 1960 |
| centi | c | 10^{-2} | 1960 |
| deci | d | 10^{-1} | 1960 |
| deca | da | 10^{1} | 1960 |
| hecto | h | 10^{2} | 1960 |
| kilo | k | 10^{3} | 1960 |
| mega | M | 10^{6} | 1960 |
| giga | G | 10^{9} | 1960 |
| tera | T | 10^{12} | 1960 |
| peta | P | 10^{15} | 1975 |
| exa | E | 10^{18} | 1975 |
| zetta | Z | 10^{21} | 1991 |
| yotta | Y | 10^{24} | 1991 |
| ronna | R | 10^{27} | 2022 |
| quetta | Q | 10^{30} | 2022 |
Naming Conventions and Symbols
The names of SI prefixes are derived primarily from Greek and Latin roots, as well as other languages, denoting numerical values, sizes, or concepts. For example, mega- derives from the Greek mégas meaning "great" for 10^6, while deci- comes from the Latin decem meaning "ten" for 10^{-1}.[2][9] More recent prefixes, particularly those introduced in 2022 to extend the range for extreme scales in data and measurements, shift toward numerical derivations for consistency and scalability; for instance, ronna- (10^{27}) combines elements from Greek ennéa ("nine") and Latin novem ("nine") to denote the ninth power of 10^3, while quetta- (10^{30}) derives from Latin decem ("ten") for the tenth power.[7][10] This approach ensures phonetic and orthographic harmony, with names ending in -a for multiples and -o for submultiples to maintain linguistic patterns established since the 1960s.[10] SI prefix symbols are formed as single characters, typically uppercase for multiples of 10^3 or higher (e.g., M for mega- at 10^6) and lowercase for submultiples (e.g., m for milli- at 10^{-3}), with exceptions like the lowercase k for kilo- (10^3) to align with early conventions.[10] Special cases include the Greek letter μ (mu) for micro- (10^{-6}), chosen for its phonetic fit and to avoid the Latin "u" already used elsewhere, ensuring symbols remain distinct and unambiguous.[2] Symbols for the 2022 additions follow this scheme, using uppercase R for ronna- and Q for quetta-, with lowercase r and q for their submultiple counterparts ronto- and quecto-.[7] To prevent ambiguity in scientific notation and unit combinations, SI prefix symbols must be unique, limited to one or two characters, and not overlap with base unit symbols or numerical digits (e.g., avoiding 'l' for litre confusion with '1' through separate styling rules).[10] The International Bureau of Weights and Measures (BIPM) enforces these guidelines via the General Conference on Weights and Measures (CGPM), selecting unused letters like Q and R for the 2022 extensions after evaluating global availability and avoiding conflicts with existing notations.[11] This systematic selection promotes international consistency, with all symbols rendered in upright roman type without spaces when attached to unit symbols, such as km for kilometer.[10] The 2022 CGPM updates specifically addressed scalability for emerging fields like big data and cosmology, extending prefixes to 10^{30} and 10^{-30} while preserving orthographic rules—names avoid double vowels or consonants for ease of pronunciation, and symbols prioritize rare letters to future-proof the system against further expansions.[7][12]Rules and Conventions
General Usage Rules
Metric prefixes, officially designated as SI prefixes, are used to indicate decimal multiples or submultiples of SI units by factors of $10^n, where n is an integer ranging from -30 to +30.[1] These prefixes are attached to the names or symbols of base or derived SI units to form new units, such as the kilometer (km), which equals $10^3 meters. A special case applies to the unit of mass: the kilogram (kg) is the only SI base unit whose name includes a prefix. Decimal multiples and submultiples of the kilogram are formed by attaching the appropriate prefix to the unit gram (g), for example, milligram (mg = $10^{-3} kg).[10] They are not applied to dimensionless quantities or numbers alone, and no prefix exists or is used for the factor $10^0 (unity).[10] In scientific and technical writing, SI prefixes are generally preferred over scientific notation for expressing quantities within typical scales, as they enhance readability and avoid ambiguity, except in cases of extremely large or small values beyond the prefix range.[13] Mixing prefixes with exponents on the same unit symbol is prohibited to maintain clarity and consistency (e.g., $10^3 m, not km with an additional exponent).[10] This preference aligns with the goal of keeping numerical values between 0.1 and 1000 where possible, promoting coherent expression in the International System of Units (SI).[13] According to international standards, there is no space between a prefix symbol and the unit symbol it modifies, forming a single, inseparable entity (e.g., km, not k m). Similarly, when writing full names, the prefix and unit name are combined without a space or hyphen (e.g., millimeter).[10] These conventions are specified in ISO 80000-1 and the SI Brochure published by the International Bureau of Weights and Measures (BIPM), ensuring uniform application across global scientific communication.[10]Combining Prefixes with Powers
In the International System of Units (SI), when a prefixed unit is raised to a power, the exponent applies to the entire unit, including the prefix factor. For instance, the square kilometer is expressed as km², which mathematically equals (10³ m)² = 10⁶ m².[10] This convention ensures that the prefix's scaling factor is consistently multiplied by the power, avoiding ambiguity in derived units. Redundant notations, such as k m² to denote 10³ m², are discouraged because they separate the prefix from the unit symbol, violating the rule that prefixes form an inseparable part of the unit expression.[13] Standard SI practice prohibits the use of multiple prefixes or combining prefixes with additional powers in a single unit expression, as this leads to non-standard and confusing forms. For example, expressions like mμm (milli-micrometer) are not permitted; instead, a single prefix closest to unity, such as nm (nanometer) for 10⁻⁹ m, must be used. Similarly, for scales like 10⁶ m, the preferred form is Mm (megameter), rather than compounded forms like k km (kilo-kilometer). These restrictions maintain clarity and adherence to the decimal nature of SI prefixes, which strictly represent powers of 10.[10][13] In certain engineering and legacy contexts, double prefixes have occasionally appeared, such as kV/mm (kilovolt per millimeter) for electric field strength, but this is explicitly discouraged in favor of simplified equivalents like MV/m (megavolt per meter). Such usages stem from historical practices but do not conform to modern SI guidelines, which prioritize single-prefix forms to prevent misinterpretation.[13] Mathematically, a prefixed unit can be represented as the prefix factor multiplied by 10 raised to the power of the unit's exponent, but simplification to a single equivalent prefix is always required where possible. For a unit u with prefix p (where p = 10^k) raised to the power n, the expression is p × u^n = 10^{k n} × (base unit)^n, which should be restated using a single prefix corresponding to 10^{k n} applied to the base unit power. This approach aligns with the foundational rules for prefix application, ensuring expressions remain concise and unambiguous.[10]Typographical and Practical Considerations
Symbol Rendering and Special Cases
The micro- prefix, denoting a factor of 10^{-6}, is represented by the Greek letter μ (mu), which was adopted in the SI system to signify one millionth of a unit.[10] This symbol replaced earlier notations like mμ (milli-micro), which had been used historically for 10^{-9}, such as in the term millimicron for what is now the nanometer (nm); the change to single prefixes like nano- eliminated such double-prefix combinations for clarity and standardization.[10] An approved alternative rendering is the micro sign µ, particularly in digital contexts where the Greek μ may not be readily available, though the Greek form is preferred in formal SI documentation.[14] The choice of μ for micro- specifically addresses potential ambiguity with the symbol m, which denotes both the milli- prefix (10^{-3}) and the base unit meter; using a distinct Greek letter prevents confusion in expressions involving length or other units starting with m.[10] In textual contexts, SI rules recommend writing out the prefix name (e.g., "microgram") or using spacing and context to distinguish symbols, such as μm for micrometer versus mm for millimeter, ensuring unambiguous interpretation without additional modifiers.[14] Special cases in prefix usage include the absence of a dedicated symbol for 10^{0}, where the base unit stands alone without modification, as prefixes are intended only for decimal multiples or submultiples beyond unity.[10] In compound units involving multiplication or division, prefixes apply separately to each component unit; for example, micrograms per cubic meter is rendered as μg/m³, with μ attaching to g (gram) in the numerator and no prefix on m (meter) in the denominator unless scaling requires it, such as μg/(m³) to emphasize the structure.[14] International standards, such as those from the International Organization for Standardization (ISO 80000-1), specify that SI prefix symbols like μ must be rendered in upright (roman) typeface to distinguish them from italicized symbols for physical quantities (e.g., m for mass), promoting consistency across publications and avoiding typographical errors in scientific communication. This upright convention aligns with BIPM guidelines and applies globally, though some legacy or non-technical contexts may vary in adherence.[10]Input and Typesetting Methods
For entering the micro prefix symbol in digital documents, the preferred character is the Greek small letter mu at Unicode code point U+03BC, which is distinct from the legacy micro sign at U+00B5. On Windows systems, U+03BC can be input in applications like Microsoft Word by typing "03BC" followed by Alt+X, or via the Insert > Symbol dialog under the Greek and Coptic subset; alternatively, the legacy U+00B5 is entered using Alt+230 on the numeric keypad.[15] On macOS, Option+M produces the micro sign U+00B5 in most text editors; for the preferred Greek mu U+03BC, use the Character Viewer (Control+Command+Space, then search for "mu") or enable a Greek input source via System Settings > Keyboard > Input Sources.[16] In plain text environments without Unicode support, alternatives such as "u" (for micro) or the two-letter "mc" may be used temporarily, though these are not recommended for formal documents as they deviate from SI standards.[10] For web content, HTML entities include μ for U+03BC and µ for U+00B5.[17] In LaTeX typesetting, the siunitx package provides robust support for SI prefixes, enabling commands like \micro for the micro symbol and \kilo for kilo, typically within \si{...} for structured units such as \si{\micro\meter}.[18] Direct input of the symbol uses \mu in math mode, but siunitx ensures upright roman rendering as required by SI conventions, avoiding italicization common in variables.[10] Prefixes like \mega or \nano are predefined, promoting consistency across documents.[19] Best practices emphasize upright (roman) fonts for all prefix symbols to align with SI guidelines, as italic fonts are reserved for variables.[10] For the micro symbol specifically, serif fonts are preferable over sans-serif to distinguish μ from the Latin "u," which can appear identical in some sans-serif typefaces like Arial, potentially causing readability issues.[20] In PDF generation or Microsoft Word, ensure UTF-8 encoding and embed fonts supporting Greek characters to prevent substitution errors during export or viewing.[21] Regarding accessibility, screen readers such as JAWS or NVDA typically announce U+03BC as "mu," providing phonetic clarity for the micro prefix in technical contexts, provided the document uses standard Unicode and avoids custom mappings.[22] For enhanced compatibility in complex documents, authors may include brief textual descriptions nearby or use ARIA attributes in web formats to specify "micro" explicitly if the default pronunciation is ambiguous.Applications to Units
In SI Base and Derived Units
Metric prefixes are systematically applied to the SI base units to express multiples and submultiples, enabling the representation of physical quantities across vast scales while maintaining the decimal nature of the system. For the base unit of mass, the kilogram (kg), prefixes such as mega- (M) yield the megagram (Mg), equivalent to $10^3 kg, which is also the definition of the tonne (t = 1 Mg).[10] Submultiples like micro- (μ) produce the microgram (μg = $10^{-6} g = $10^{-9} kg), useful for small masses in chemistry and biology.[1] This scalability ensures that masses ranging from microscopic particles to large industrial quantities can be denoted concisely without altering the underlying unit coherence.[10] In length measurement, the metre (m) combines with prefixes to cover distances from the atomic to the astronomical. The kilometre (km) represents $10^3 m, commonly used for road distances and geographical scales, such that 1 km = $10^3 m.[1] At the smaller end, the nanometre (nm) denotes $10^{-9} m, essential for describing wavelengths of light and molecular dimensions.[10] For time, the second (s) is prefixed as millisecond (ms = $10^{-3} s) for brief events like reaction times, while the kilosecond (ks = $10^3 s, approximately 16.7 minutes) is rarely used but available for longer intervals in scientific contexts.[1] Temperature in kelvin (K) does not typically employ prefixes for absolute values due to the scale's origin at absolute zero, but they are applied to temperature intervals or differences, such as millikelvin (mK = $10^{-3} K) for cryogenic measurements.[10] Prefixes extend naturally to SI derived units, preserving the system's coherence by scaling the entire expression without introducing conversion factors. The joule (J), defined as $1 J = $1 kg·m²/s² for energy, becomes the kilojoule (kJ = $10^3 J) for larger energies like those in nutrition or engineering, where 1 kJ = $10^3 J.[1] For electric potential, the volt (V) uses kilo- to form the kilovolt (kV = $10^3 V), standard in power transmission.[10] Frequency, measured in hertz (Hz), employs mega- for the megahertz (MHz = $10^6 Hz), common in electronics and radio communications.[1] These applications demonstrate how prefixes facilitate precise expression across disciplines while upholding the SI's foundational structure.[10]In Non-SI and Historical Units
Metric prefixes are applied to certain non-SI units accepted for use with the International System of Units (SI), enhancing expressiveness for very large or small quantities without altering the core definitions of these units. The litre (L or l), equivalent to one cubic decimetre (10^{-3} m³), routinely incorporates prefixes such as milli- to form the millilitre (mL), which denotes one-thousandth of a litre and is widely used in medical, chemical, and laboratory contexts for precise volume measurements. Similarly, the electronvolt (eV), defined as the kinetic energy gained by an electron accelerated through a potential difference of one volt (approximately 1.602 \times 10^{-19} J), employs prefixes like kilo- (keV), mega- (MeV), and giga- (GeV) in particle physics and nuclear science to describe energy scales ranging from atomic interactions to high-energy collisions. These applications maintain coherence with SI practices while accommodating established non-SI nomenclature.[10] In the realm of energy measurement, the calorie (cal), historically defined as the energy required to raise the temperature of one gram of water by one degree Celsius (approximately 4.184 J), is accepted for use with the SI but does not officially permit metric prefixes, and its application is generally discouraged in favor of the joule to promote uniformity. Despite this, the kilocalorie (kcal), representing 1000 calories, persists in nutritional and dietary contexts as a practical scaling for metabolic energy, such as daily caloric intake, where it equates to the large calorie (Cal) used in food labeling. This informal prefix usage reflects historical conventions in biochemistry and public health, though international standards emphasize SI-derived units for scientific precision.[10][23] For angular measurements, the radian (rad), a dimensionless SI-derived unit, does not formally accept metric prefixes under SI rules, yet the milliradian (mrad or mr), equivalent to 0.001 radian, is commonly employed in practical applications like ballistics, optics, and surveying to quantify small angles with high resolution. In engineering and aerospace, such informal prefixing aids in specifying tolerances, such as angular deviations in guidance systems. Likewise, time units like the minute (min = 60 s) prohibit official prefixes, with no recognized form like "kmin," but the kilosecond (ks = 1000 s) is occasionally used in scientific contexts, such as astrophysics observations or long-duration experiments, to avoid cumbersome numerical values for intervals spanning roughly 16.7 minutes.[10][24][25] Historically, metric prefixes have been adapted informally to non-SI and imperial units in specialized fields, particularly engineering, where precision demands sub-unit scales. For instance, the microinch (μin), one-millionth of an inch, measures surface roughness in manufacturing and machining, with values like 16 μin indicating high-quality finishes achieved through grinding or honing, as specified in standards for components in aerospace and automotive industries. In nautical contexts, while traditional units like the nautical mile (approximately 1.852 km) do not directly incorporate prefixes, metric equivalents such as the kilometer facilitate scaling for distances in modern navigation charts and hydrographic surveys. These adaptations highlight the versatility of metric prefixes beyond strict SI boundaries, though they remain non-standard and context-specific.[26][2]Non-Standard Extensions
Obsolete and Deprecated Prefixes
The myria prefix, denoting a factor of $10^4, and its counterpart myrio for $10^{-4}, were part of the original metric system established in 1795 but were officially deprecated by the 11th General Conference on Weights and Measures (CGPM) in 1960 to streamline the set of prefixes and eliminate redundancy with combinations such as hectokilo-.[2] These changes aligned the system with powers of 10 in increments of three orders of magnitude, favoring kilo- ($10^3) and mega- ($10^6) over myria- for larger multiples.[2] Another deprecated term is "micron," an informal name for the micrometer ($10^{-6} m) that was accepted until the 13th CGPM in 1967–1968, when it was abrogated to avoid confusion with the micro prefix (symbol μ) and to standardize unit nomenclature.[27][10] The International Bureau of Weights and Measures (BIPM) now recommends exclusively using the micrometre with symbol μm.[4] In some historical and regional contexts, particularly in long-scale numbering systems used in parts of Europe, the term "milliard" referred to $10^9, occasionally applied informally to metric units, but this usage is obsolete in the SI as it lacks a standardized prefix and can cause ambiguity with short-scale "billion."[4] The BIPM advises employing the official giga- prefix (G, $10^9) instead to ensure global consistency.[4] These obsolete prefixes and terms persist in older scientific literature and engineering texts from before the 1960s revisions, but their use in new publications is discouraged by the BIPM to maintain coherence in the International System of Units.[4] Deprecation stemmed primarily from efforts to reduce ambiguity, eliminate non-decimal or redundant elements, and adapt to scientific needs for precise, universal scaling.[2]Recent and Proposed Additions
In November 2022, the 27th General Conference on Weights and Measures (CGPM) adopted four new metric prefixes to extend the range of the International System of Units (SI), marking the first such addition since 1991. These include ronna (symbol R, denoting 10^{27}) and quetta (symbol Q, denoting 10^{30}) for large-scale multiples, along with their corresponding submultiples ronto (symbol r, 10^{-27}) and quecto (symbol q, 10^{-30}).[7][2] The introduction of these prefixes addresses the growing demands of fields requiring expression of extremely large and small quantities. For instance, in exascale computing and data storage, the prefix ronna enables concise notation for vast datasets, such as 1 ronnabyte (RB) equivalent to 10^{27} bytes, which supports projections for AI systems and big data analytics anticipated in the 2030s. Similarly, quetta facilitates descriptions in large-scale physics and astronomy, where datasets from telescopes and simulations exceed the capacity of prior prefixes like zetta (10^{21}). At the submultiple end, ronto and quecto are tailored for quantum physics and particle measurements, accommodating scales below yocto (10^{-24}).[28][29] This expansion was driven by the insufficiency of existing prefixes for emerging technologies, with experts noting that without updates, scientific communication in genomics, cosmology, and high-performance computing would become cumbersome. The CGPM's decision ensures the SI remains adaptable to advancements projected over the next two to three decades.[3][8] These new prefixes were promptly incorporated into the 9th edition of the SI Brochure, with version 2.01 released in December 2022 by the International Bureau of Weights and Measures (BIPM), confirming their full integration into the official SI framework. The SI Brochure was last revised in August 2025, incorporating no further prefix changes.[10][30] Beyond official adoptions, informal discussions within metrology and scientific communities have explored further extensions for even larger scales. However, as of November 2025, no such proposals have achieved formal status or CGPM approval, remaining speculative and unofficial.Related Concepts and Distinctions
Similar Symbols and Abbreviations
In chemistry, the uppercase letter M commonly denotes molar concentration, defined as the amount of substance in moles per liter of solution, a usage established in standard chemical nomenclature. This symbol can potentially overlap with the metric prefix M for mega-, which indicates a factor of $10^6, as seen in units like megameter (Mm). However, such confusion is typically avoided because the mega prefix is always attached to a unit symbol or name, whereas standalone M in chemical contexts unambiguously refers to molarity.[31][2] The Greek letter mu (μ) serves as the symbol for the metric prefix micro-, denoting $10^{-6}, and is widely used in scientific notation for quantities like micrometers (μm). Historically, μ also represented the non-SI unit "micron," an obsolete synonym for micrometer equivalent to one millionth of a meter. Although the term and standalone symbol for micron have been deprecated since the adoption of the International System of Units (SI) in 1960, legacy usage in fields like optics and filtration can still lead to ambiguity, prompting recommendations to use "micrometer" exclusively.[27] In electrical engineering and physics, the lowercase letter m functions both as the SI symbol for the base unit meter (length) and as the prefix milli-, indicating $10^{-3}. This dual role requires careful contextual interpretation; for instance, m alone denotes meters, while m prefixed to another unit like ampere yields milliamperes (mA). No similar conflict arises with the symbol Ω, which exclusively represents the SI unit ohm (electrical resistance), distinct from the Greek letter omega (ω) used in angular frequency or other mathematical contexts, as metric prefixes do not employ Greek letters beyond μ.[32][2] In medical and pharmaceutical contexts, the abbreviation mcg is recommended for microgram ($10^{-6} grams) to mitigate handwriting ambiguities with the Greek mu (μ or µg), which can resemble mg (milligram) and lead to dosing errors by a factor of 1,000. This practice stems from safety guidelines aimed at preventing medication mishaps, particularly in prescriptions where illegible script exacerbates misinterpretation. Regional and domain-specific abbreviations can introduce further overlaps, such as Mb for megabit (a unit of digital information equivalent to $10^6 bits, common in telecommunications) versus mb or Mb for millibar (a deprecated pressure unit equal to 100 pascals, still encountered in meteorology). The millibar, while non-SI, persists in weather reporting, but standardization efforts favor mbar or pascals to reduce confusion with data units.[33]Binary and Non-Decimal Prefixes
Binary prefixes, also known as IEC prefixes, are a set of unit prefixes designed specifically for multiples of powers of two, primarily to address ambiguities in computing and data storage where traditional metric prefixes (powers of ten) have been misapplied. Unlike standard metric prefixes, which strictly denote decimal multiples (10^n), binary prefixes represent 2^n, where n is a multiple of 10, such as 2^10 = 1024 for the kibi (Ki) prefix. This distinction arose because early computing conventions approximated 1024 as "kilo" (1000), leading to confusion in fields like RAM and storage capacities; for instance, a "kilobyte" could ambiguously mean either 1000 bytes (decimal) or 1024 bytes (binary).[34] The binary prefixes were standardized by the International Electrotechnical Commission (IEC) in Amendment 2 to IEC 60027-2, approved in December 1998 and published in 1999, with the second edition of the standard issued in November 2000. The third edition in 2005 added zebi and yobi, and the current standard, IEC 80000-13:2025 (published February 2025), supersedes prior versions and introduces robi and quebi to align with recent SI decimal prefixes.[34][35] These prefixes originated in the 1990s amid growing concerns over inconsistent usage in information technology, where binary scales are fundamental due to the base-2 nature of digital systems. Although not incorporated into the International System of Units (SI), which reserves prefixes for decimal powers, the IEC recommends binary prefixes for unambiguous communication in binary contexts, such as data processing and transmission. The names are formed by adding "bi" (for binary) to the first two letters of corresponding SI prefix names, with symbols appending "i" (e.g., kibi from kilo).[35] The following table lists the standard binary prefixes, their factors, names, and symbols as defined in IEC 80000-13:2025:| Factor | Name | Symbol |
|---|---|---|
| 2¹⁰ | kibi | Ki |
| 2²⁰ | mebi | Mi |
| 2³⁰ | gibi | Gi |
| 2⁴⁰ | tebi | Ti |
| 2⁵⁰ | pebi | Pi |
| 2⁶⁰ | exbi | Ei |
| 2⁷⁰ | zebi | Zi |
| 2⁸⁰ | yobi | Yi |
| 2⁹⁰ | robi | Ri |
| 2¹⁰⁰ | quebi | Qi |