SI units and prefixes: from nano to kilo
SI and metric prefixes explained: the full list from quecto to quetta, how to convert milli, micro and nano, and the seven SI base units, with lab examples.
By Zachery Casey · Published · Reviewed · Editorial policy
Lab measurements move between very large and very small numbers all the time: a 0.2 µm filter, a 250 mL flask, a 10 mM stock solution. SI prefixes are what make those numbers manageable. A prefix in front of a unit multiplies it by a fixed power of ten, so "milli" always means a thousandth and "micro" always means a millionth. This guide sets out the SI base units, the prefixes used in the lab, and how to convert between them without slipping a decimal place.
Terms are defined in the glossary.
The seven SI base units
The International System of Units (SI) is built on seven base units. Every other unit is made by combining them.
| Quantity | Unit | Symbol |
|---|---|---|
| Time | second | s |
| Length | metre | m |
| Mass | kilogram | kg |
| Electric current | ampere | A |
| Temperature | kelvin | K |
| Amount of substance | mole | mol |
| Luminous intensity | candela | cd |
The list is from the BIPM, the international body that maintains the SI. The kilogram is the only base unit with a prefix already in its name, which is why prefixes for mass attach to the gram instead.
Units built from them
Labs use many units made from the base units:
| Unit | What it measures | Made from |
|---|---|---|
| mol/L (M) | Concentration | Amount ÷ volume. See molarity |
| g/mol | Molar mass | Mass ÷ amount. See molar mass |
| g/mL | Density | Mass ÷ volume |
| pascal (Pa) | Pressure | Force ÷ area. HPLC pressures are often given in bar (1 bar = 100,000 Pa) |
| joule (J) | Energy | Used for activation energy in kJ/mol. See the Arrhenius equation |
| degree Celsius (°C) | Temperature | The same size step as the kelvin, offset by 273.15 |
The litre isn't an SI unit in the strict sense, but it is accepted for use alongside them. One litre is one cubic decimetre (1 dm³), and one millilitre is one cubic centimetre (1 cm³).
The SI prefixes used in the lab
The full list runs from 10⁻³⁰ to 10³⁰. These are the ones a lab meets day to day (BIPM):
| Prefix | Symbol | Factor | In words | Example |
|---|---|---|---|---|
| giga | G | 10⁹ | a billion | gigabyte of instrument data |
| mega | M | 10⁶ | a million | megapascal (MPa) of pressure |
| kilo | k | 10³ | a thousand | kilogram, kilojoule |
| (none) | 10⁰ | one | gram, litre, mole | |
| centi | c | 10⁻² | a hundredth | centimetre |
| milli | m | 10⁻³ | a thousandth | millilitre, milligram, millimolar |
| micro | µ | 10⁻⁶ | a millionth | microlitre, micrometre |
| nano | n | 10⁻⁹ | a billionth | nanometre, nanomolar |
| pico | p | 10⁻¹² | a trillionth | picomole |
Hecto (h), deca (da) and deci (d) also exist but are rarely used in the lab, apart from the decimetre in the definition of the litre.
Show all 24 SI prefixes, quecto to quetta
| Prefix | Symbol | Factor |
|---|---|---|
| quetta | Q | 10³⁰ |
| ronna | R | 10²⁷ |
| yotta | Y | 10²⁴ |
| zetta | Z | 10²¹ |
| exa | E | 10¹⁸ |
| peta | P | 10¹⁵ |
| tera | T | 10¹² |
| giga | G | 10⁹ |
| mega | M | 10⁶ |
| kilo | k | 10³ |
| hecto | h | 10² |
| deca | da | 10¹ |
| deci | d | 10⁻¹ |
| centi | c | 10⁻² |
| milli | m | 10⁻³ |
| micro | µ | 10⁻⁶ |
| nano | n | 10⁻⁹ |
| pico | p | 10⁻¹² |
| femto | f | 10⁻¹⁵ |
| atto | a | 10⁻¹⁸ |
| zepto | z | 10⁻²¹ |
| yocto | y | 10⁻²⁴ |
| ronto | r | 10⁻²⁷ |
| quecto | q | 10⁻³⁰ |
From the BIPM.
How to convert between prefixes
Each step down the main ladder (kilo → none → milli → micro → nano → pico) is a factor of 1,000.
So:
- Going to a smaller prefix, multiply by 1,000 per step. The number gets bigger.
- Going to a larger prefix, divide by 1,000 per step. The number gets smaller.
Worked examples
| Convert | Steps | Calculation | Answer |
|---|---|---|---|
| 0.25 L to mL | One step down | 0.25 × 1,000 | 250 mL |
| 2.5 µm to nm | One step down | 2.5 × 1,000 | 2,500 nm |
| 0.0125 g of sodium chloride to mg | One step down | 0.0125 × 1,000 | 12.5 mg |
| 50 mM to M | One step up | 50 ÷ 1,000 | 0.050 M |
| 50 mM to µM | One step down | 50 × 1,000 | 50,000 µM |
| 250 µL to mL | One step up | 250 ÷ 1,000 | 0.25 mL |
A quick check: the smaller the unit, the bigger the number. 250 mL and 0.25 L are the same volume. If a conversion makes the number smaller when the unit got smaller, the step went the wrong way.
For concentration units such as mg/mL, µg/mL and ppm, see molarity, mg/mL and dilutions and parts per million. For working out amounts of substance, see moles and Avogadro's number.
Writing the micro symbol: µ, u and mc
The SI symbol for micro is the Greek letter µ. Where it can't be typed, some documents and instruments write a plain "u" instead, as in "uL" for microlitres. A few labels use "mc". Neither is an SI symbol. When reading a document, check which convention it uses, and write µ in your own records where you can.
Common mistakes
- Mixing up m and M. Lower-case m is milli (a thousandth). Capital M is mega (a million), and in chemistry M on its own also means mol/L. A "10 mM" solution is a thousand times weaker than a "10 M" one.
- Stacking prefixes. Write nm, not mµm. Only one prefix goes on a unit.
- Prefixing the kilogram. A thousandth of a gram is a milligram (mg), not a "microkilogram".
- Dropping a step. Going from mL to nL is two steps (× 1,000,000), not one.
- Squared and cubed units. 1 cm³ is (0.01 m)³ = 10⁻⁶ m³, not 10⁻² m³. The prefix is cubed along with the unit.
- Too many figures. Converting doesn't make a number more precise. 0.25 L becomes 250 mL, not 250.000 mL. See accuracy, precision and significant figures.
Related guides
For measuring volumes accurately, see pipettes and volumetric glassware. For the calculators that do these conversions for you, see the molarity calculator and dilution calculator. Every lot has its own COA, published on the product page and on that lot's own page. See Quality.
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