{"id":32012,"date":"2026-10-23T17:47:57","date_gmt":"2026-10-23T16:47:57","guid":{"rendered":"https:\/\/www.earth-site.co.uk\/Education\/how-si-units-defined-kilogram-metre-constants\/"},"modified":"2026-10-23T18:33:42","modified_gmt":"2026-10-23T17:33:42","slug":"how-si-units-defined-kilogram-metre-constants","status":"publish","type":"post","link":"https:\/\/www.earth-site.co.uk\/Education\/how-si-units-defined-kilogram-metre-constants\/","title":{"rendered":"How Are SI Units Defined? The Kilogram, Metre and Physical Constants"},"content":{"rendered":"<p>A kilogram used to be defined by a metal cylinder kept in France. Today, the world&#x27;s measurement system is anchored instead to exact values of fundamental constants of nature. Since 20 May 2019, the International System of Units, known as SI, has used seven defining constants to establish its units. This change matters whenever scientists compare measurements made in different countries, laboratories or decades. It also raises an interesting question: how can a familiar unit such as a kilogram be connected to quantum physics? The answer lies in the difference between defining a unit and building an instrument that measures it.<\/p>\n<h2>Key takeaways<\/h2>\n<ul>\n<li>SI is the internationally agreed system that includes metres, kilograms, seconds and other base units.<\/li>\n<li>The seven SI base units are metre, kilogram, second, ampere, kelvin, mole and candela.<\/li>\n<li>Since May 2019, all SI units have been defined using exact values of physical constants.<\/li>\n<li>The kilogram is linked to the Planck constant rather than a particular metal object.<\/li>\n<li>Stable, reproducible units support medicine, engineering, trade and scientific research.<\/li>\n<\/ul>\n<h2>Why do measurements need agreed units?<\/h2>\n<p>Imagine two laboratories measuring the same sample but using different definitions of mass. Even if their balances were precise, the results could disagree. Common units allow people to compare results and reproduce experiments. They also underpin everyday activities such as selling food, checking medicines, constructing buildings and calibrating electricity meters.<\/p>\n<p>A unit is an agreed reference for a physical quantity. A measurement compares an object or process with that reference. Precision describes how closely repeated measurements agree, while accuracy concerns how close a result is to the relevant true or reference value. A clear system of units does not guarantee a perfect measurement, but it gives everyone a shared language.<\/p>\n<h2>What are the seven SI base units?<\/h2>\n<p>The base units are the second for time, metre for length, kilogram for mass, ampere for electric current, kelvin for thermodynamic temperature, mole for amount of substance and candela for luminous intensity. Other units can be built from combinations of these.<\/p>\n<p>For example, speed is measured in metres per second. A newton, the unit of force, is a kilogram metre per second squared. A joule, the unit of energy, is a newton metre. These relationships show why a consistent set of base units is useful: calculations can connect quantities without introducing arbitrary conversion factors at every step.<\/p>\n<h2>How was the kilogram defined in the past?<\/h2>\n<p>For more than a century, the kilogram was associated with the International Prototype of the Kilogram, a carefully <a href=\"https:\/\/www.earth-site.co.uk\/Education\/iridium-the-rare-and-resilient-element-that-can-withstand-extreme-conditions\/\" title=\"Iridium: The Rare and Resilient Element That Can Withstand Extreme Conditions\">manufactured platinum-iridium cylinder<\/a> kept near Paris. Copies were compared with the prototype to maintain a shared mass standard. This system worked remarkably well for its time, but it had an unavoidable weakness: the definition depended on one physical artefact.<\/p>\n<p>Even a protected object can be contaminated, cleaned or changed in subtle ways. Comparisons between prototype masses raised questions about long-term stability. A unit that depends on one object is also difficult to reproduce independently. Scientists therefore sought a definition based on something that would not age or change with handling.<\/p>\n<h2>What changed in May 2019?<\/h2>\n<p>In November 2018, representatives of the international metrology community approved a major revision of SI. The new definitions took effect on 20 May 2019. Four base units\u2014the kilogram, ampere, kelvin and mole\u2014were redefined through fixed numerical values of constants, completing a system in which all seven base units are anchored to fundamental properties of nature.<\/p>\n<p>The change did not make everyday objects suddenly heavier or lighter. A kilogram of flour still has the same practical mass. What changed was the underlying definition and the route by which high-precision laboratories realise it. The aim was continuity for ordinary users and greater long-term stability for advanced science.<\/p>\n<h2>What is the Planck constant?<\/h2>\n<p>The Planck constant, written h, is a fundamental quantity in quantum physics. It connects the energy of a photon with its frequency through the equation E = hf. In the revised SI its numerical value is fixed exactly at 6.62607015 \u00d7 10^-34 joule seconds.<\/p>\n<p>Because a joule can be expressed using kilograms, metres and seconds, fixing h\u2014alongside the definitions of the metre and second\u2014provides a way to define the kilogram. This is a conceptual leap from &#x27;mass equals this metal cylinder&#x27; to &#x27;mass is part of a consistent relationship among physical constants&#x27;. For related background, <a title=\"Atoms\" href=\"https:\/\/www.earth-site.co.uk\/Education\/atoms\/\">Earth Site&#x27;s explanation of atoms<\/a> introduces the microscopic matter whose behaviour quantum physics describes.<\/p>\n<h2>How can a laboratory realise the kilogram?<\/h2>\n<p>One method uses a Kibble balance, an instrument that compares mechanical power with electrical power. Through quantum electrical standards and carefully controlled measurements, it connects mass to the fixed Planck constant. The engineering is demanding because the apparatus must measure forces, motion and electrical quantities with extraordinary precision.<\/p>\n<p>Another approach uses highly <a href=\"https:\/\/www.earth-site.co.uk\/Education\/uncovering-the-wonders-of-silicon-a-british-perspective\/\" title=\"Uncovering the Wonders of Silicon: A British Perspective\">characterised silicon spheres<\/a> and counts atoms indirectly through crystal measurements. Different methods provide independent checks. The point is not that every school needs a Kibble balance; national metrology institutes maintain high-precision standards that can be transferred through calibrated instruments to ordinary workplaces.<\/p>\n<h2>How is the metre defined?<\/h2>\n<p>The metre is linked to the speed of light in vacuum, which is fixed exactly at 299,792,458 metres per second. With the second already defined, this gives a reproducible basis for length. Scientists can realise the metre using laser interferometry and other optical methods.<\/p>\n<p>The definition does not say that every measuring tape must use a laser. Instead, the calibration chain ultimately connects practical instruments to the agreed reference. The metre&#x27;s stability matters in everything from precision manufacturing to satellite navigation. The historical shift from physical bars to constants illustrates the same general principle as the kilogram redefinition.<\/p>\n<h2>How is the second defined?<\/h2>\n<p>The SI second is based on a specific frequency associated with transitions in caesium-133 atoms. Its defining numerical value is 9,192,631,770 cycles per second. Atomic clocks exploit this reproducible behaviour to maintain highly stable time standards.<\/p>\n<p>Atomic timekeeping supports telecommunications, navigation, financial systems and scientific experiments. A phone does not contain a national atomic clock, but networks can distribute time signals derived from accurate standards. The definition is also independent of the uneven rotation of Earth, which is why modern timekeeping distinguishes atomic time from astronomical measures.<\/p>\n<h2>What are the other defining constants?<\/h2>\n<p>The elementary charge helps define the ampere; the Boltzmann constant helps define the kelvin; the Avogadro constant defines the mole; and a fixed luminous-efficacy value contributes to the definition of the candela. These join the caesium frequency, speed of light and Planck constant to form the seven defining constants.<\/p>\n<p>The terminology can be intimidating, but the principle is straightforward. Instead of asking laboratories to preserve an identical object forever, SI fixes values associated with repeatable physical relationships. The practical techniques vary from electrical quantum standards to thermometry and chemical measurement. <a title=\"Standard Model of Particle Physics\" href=\"https:\/\/www.earth-site.co.uk\/Education\/standard-model-of-particle-physics\/\">Earth Site&#x27;s Standard Model guide<\/a> offers context for some of the particles and interactions involved.<\/p>\n<h2>Does the mole mean a fixed number of atoms?<\/h2>\n<p>A mole contains exactly 6.02214076 \u00d7 10^23 specified elementary entities, such as atoms, molecules or ions. The entities must be identified because a mole of water molecules is not the same kind of collection as a mole of oxygen atoms.<\/p>\n<p>The mole is useful because chemistry deals with unimaginably large numbers of <a href=\"https:\/\/www.earth-site.co.uk\/Education\/atoms\/\" title=\"Atoms\">tiny particles<\/a>. A sample&#x27;s amount of substance can be connected to its mass and molar mass, allowing chemists to calculate reaction quantities. The 2019 definition fixed the Avogadro constant exactly, separating the concept from older wording based directly on a particular mass of carbon-12.<\/p>\n<h2>Why does the kelvin matter?<\/h2>\n<p>The kelvin is the SI unit of thermodynamic temperature. It is defined using a fixed value of the Boltzmann constant, which links temperature with energy at the microscopic level. This does not mean that a kitchen thermometer measures individual molecules. It means the underlying unit has a definition grounded in physical law.<\/p>\n<p>A temperature difference of one kelvin is the same size as a difference of one degree Celsius. The scales have different zero points: 0\u00b0C corresponds to 273.15 K. Celsius remains convenient for everyday weather and cooking, while kelvin is particularly useful in thermodynamics and scientific calculations.<\/p>\n<h2>Are all measurements now exact?<\/h2>\n<p>No. The defining constants have exact numerical values within SI, but actual measurements still have uncertainty. A balance may be affected by vibration, air buoyancy, temperature or calibration error. Scientists report uncertainty to show how reliably a result is known.<\/p>\n<p>This distinction is essential. Fixing the Planck constant does not mean every measurement of mass is perfectly accurate. It means the unit&#x27;s definition no longer changes with a physical prototype. Practical instruments must still be maintained, compared and calibrated. Good science requires both stable definitions and honest descriptions of uncertainty.<\/p>\n<h2>What are prefixes and derived units?<\/h2>\n<p>SI prefixes allow very large and very small quantities to be expressed conveniently. A kilometre is 1,000 metres; a millimetre is one-thousandth of a metre; a nanometre is one-billionth of a metre. The prefix changes the scale, not the underlying physical quantity.<\/p>\n<p>Derived units combine base units. Pressure is measured in pascals, energy in joules and electrical potential in volts. Students should check dimensions when solving problems: adding metres to seconds is meaningless, while dividing distance by time produces a speed. This habit can catch errors before a calculation is completed.<\/p>\n<h2>Why does this matter outside physics?<\/h2>\n<p>Hospitals need dependable dose measurements; manufacturers need interchangeable components; environmental scientists compare temperatures across decades; and international trade depends on consistent weights and measures. A tiny error in a laboratory standard can propagate through many instruments if calibration is poor.<\/p>\n<p>Measurement is also a form of cooperation. Countries can disagree politically while relying on shared scientific standards. The <a title=\"Physics Contents\" href=\"https:\/\/www.earth-site.co.uk\/Education\/physics-contents\/\">Earth Site physics contents<\/a> show how ideas about atoms, forces and energy connect to everyday measurement. The SI system turns those ideas into a practical common language.<\/p>\n<h2>A worked example of dimensional checking<\/h2>\n<p>Suppose a cyclist travels 12 kilometres in 30 minutes. Convert the distance to 12,000 metres and the time to 1,800 seconds. Speed is distance divided by time, so 12,000 \u00f7 1,800 gives about 6.67 metres per second. Multiplying by 3.6 converts that value to 24 kilometres per hour. Both results describe the same speed using consistent units.<\/p>\n<p>Now imagine accidentally dividing 12 kilometres by 30 seconds. The arithmetic produces a number, but it describes a completely different journey. Writing units beside every quantity makes such mistakes easier to spot. This is one reason measurement education matters: a clear unit system helps people reason about results, not just attach labels to numbers.<\/p>\n<h2>Conclusion<\/h2>\n<p>The 2019 SI revision replaced the last major dependence on physical artefacts with definitions based on constants of nature. The kilogram now rests on the Planck constant, while the other base units form part of the same coherent system. Everyday measurements did not suddenly change, but the foundations became more stable and reproducible. The story demonstrates how abstract physics can improve the reliability of ordinary life.<\/p>\n<h2>Frequently asked questions<\/h2>\n<h3>What does SI stand for?<\/h3>\n<p>SI stands for the International System of Units, from the French Syst\u00e8me international d&#x27;unit\u00e9s.<\/p>\n<h3>When did the kilogram definition change?<\/h3>\n<p>The revised definition took effect on 20 May 2019.<\/p>\n<h3>Is a kilogram still 1,000 grams?<\/h3>\n<p>Yes. The familiar relationships among kilograms, grams and other metric units remain unchanged.<\/p>\n<h3>What replaced the metal kilogram prototype?<\/h3>\n<p>The kilogram is now defined through a fixed value of the Planck constant, with practical realisations including the Kibble balance.<\/p>\n<h3>Does a constant-based definition remove measurement error?<\/h3>\n<p>No. It stabilises the unit&#x27;s definition, but instruments and observations still have uncertainty.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>How seven base units are defined and why stable measurement standards matter to science and daily life.<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_earthsite_chatgtp_hash":["254f6d18adc6e0ed99e79dab9cb6d033ffcbef493872c51c0fd422dc130e3baa"],"linksy_active_local_suggestions":["a:2:{s:7:\"link-in\";b:0;s:8:\"link-out\";b:1;}"]},"categories":[1],"tags":[],"class_list":["post-32012","post","type-post","status-publish","format-standard","hentry","category-generalknowledge"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.6 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>How Are SI Units Defined? 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