Molar Concentration Converter
Converts a concentration between molar units: M, mM, uM, nM and pM. For lab and research use; not medical or dosing advice.
Concentration & Dilution
Calculator inputs
This is a mathematical and laboratory reference tool. It does not diagnose, treat or recommend a dose, and it is not medical advice.
This converter moves a molar concentration between M, mM, uM, nM and pM. A molar concentration is a count of molecules per unit volume, which is what makes it comparable between different substances.
Two milligrams of one peptide and two milligrams of another are not comparable. Two micromoles of one and two micromoles of the other are, because a mole is a fixed number of particles for any substance.
That comparability is the reason laboratory specifications usually give molar concentrations even when the material is weighed out as a mass.
The denominator is fixed at one litre
Every unit in this family is moles per litre, and that fixed denominator is the detail that makes the family easier than the mass per volume one and easier to misread. Moving from mM to uM changes the numerator by a thousand and leaves the litre alone. There is no equivalent of swapping millilitres for litres here, so every conversion is a single multiplication or division and no pair of prefixes ever cancels. The molarity calculator is the page that builds a molarity up from a mass in the first place.
The one identity worth carrying away from this family is that one micromolar is the same as one nanomolar per millilitre. A micromolar is a thousandth of a millimolar per litre, and a thousandth of a litre holds a thousandth of the contents, so the two descriptions of the same solution are numerically equal. It is a coincidence of the prefix ladders rather than a general rule, and it is exactly the kind of coincidence that makes a shorthand feel like a law until it is applied to a different prefix. The mass concentration converter behaves quite differently, because there a prefix can sit in the denominator too.
Why a molar number needs a molar mass to be useful
A molar concentration counts molecules, and that is precisely why it compares between substances where a mass concentration cannot. Two milligrams of one peptide and two milligrams of another say nothing about how many molecules either one contains, because different molecules differ in size. Two micromoles of each contain the same number of particles, so a specification written in molar units can be carried across different substances without conversion. Neither figure is more correct than the other. They answer different questions, and the unit on a label is a statement about which of those questions the source was asking. The molarity versus mass concentration guide sets that difference out at length.
The price of comparability is that the number is stranded without a molar mass. A millimolar value says nothing about how much material to weigh, because a mole of one substance is a different mass from a mole of another. A molar concentration can be converted inside its own family all day and still not answer a practical question. Getting back to a mass applies the molar mass, and the mass to molarity converter is the step that does it. A molar figure is the right currency for comparison and the wrong one for weighing, which is why pages that give only one of them answer only half the question.
Decade crossings and the error a rounded number hides
The conversions worth being careful about are the ones that cross a decade, because those are where a small transcription slip becomes a large one. Converting 3.33 mM to uM gives 3330 uM, and a digit dropped there is not a rounding difference but a different concentration. It helps to know which direction enlarges the number: moving to a smaller prefix, from mM to uM, always multiplies. A source quoting micromolar and a source quoting millimolar are frequently describing the same preparation in different units, which is the subject of the peptide unit conversion guide .
Rounding compounds with everything downstream. If a stated 3.33 mM is really a rounded 3.3333 mM, then every value derived from it carries that same relative error. On this page the consequence is mild, because nothing is being measured and no volume is being pipetted, but it begins to matter as soon as the converted figure is used to prepare something. The error also stays on one side of the comparison, so two figures converted from two rounded sources do not cancel each other out. The guide to rounding and small volumes sets out why a small transfer magnifies a rounded concentration rather than averaging it away.
What this page cannot reach
Two things sit outside this converter by construction. It cannot produce a mass concentration, because that needs the mass of a mole and no molar mass is asked for here. And it does not separate free from bound or unbound from total concentration, which are the same number only in a system dilute enough that nothing has bound to anything. Neither gap is a defect in the arithmetic. They are a reminder that what a concentration means depends on the system it was measured in, and this page knows only the number and its unit.
A molar value also says nothing about what is in the tube. A published figure for the free peptide is not automatically the figure for a salt form or a conjugate, because counter ions change the mass without changing the molecule count, and the purity correction calculator is what handles a stated purity percentage. The same gap sits between a labelled mass and what is actually in the material. Where a concentration has to be measured rather than weighed out, the Beer-Lambert concentration calculator works from absorbance, which is a molar measurement throughout and needs a molar value to compare against.
How this calculator works
The molar prefixes run mol, mmol, umol, nmol and pmol, each a factor of one thousand from the last. Every conversion within the family is therefore a single multiplication or division by a power of one thousand.
The denominator is a litre throughout. Unlike the mass concentration family, where the volume unit can change, a molar concentration is always per litre, so the only thing that varies is the mole prefix.
The formulas
-
1 M = 1000 mM
Moving to a smaller prefix multiplies the number.
-
1 mM = 1000 uM
The most common conversion, from a working concentration to a pharmacology one.
-
1 uM = 1000 nM
Worked example
Converting a working concentration to micromolar
Illustrative example. The numbers are chosen to make the arithmetic easy to check. They are not a dose, a protocol or a recommendation.
Given
- Concentration
- 3.3333 mM
- Target unit
- uM
- Multiply by one thousand
- Substitution
- 3.3333 x 1000
- Result
- 3333.3 uM
What this shows
A millimolar solution is a fairly concentrated one, and 3333 micromolar is the same solution. The distinction matters because a pharmacology source quoting micromolar values and a formulation source quoting millimolar values are often describing the same preparation, and reading the numbers as different would suggest they are not.
Understanding the inputs
- Value
- The concentration in the unit you are converting from.
- From unit
- The starting molar unit.
- To unit
- The target molar unit.
Understanding the results
- Value
- The same molar concentration expressed in the target unit.
Units explained
- M
- Mol per litre. Extremely concentrated for a peptide: one molar of a 1500 g/mol peptide is 1500 g per litre.
- mM
- Millimolar, one thousandth of a molar. A typical formulation concentration.
- uM
- Micromolar, one millionth of a molar. A typical working concentration in pharmacology.
- nM and pM
- Nanomolar and picomolar. Receptor binding and assay ranges rather than preparation ranges.
Common mistakes
- Confusing mM with uM, which are visually similar and differ by one thousand.
- Using a molar converter on a mass concentration. mg/mL cannot become mM here, because that needs a molar mass.
- Assuming a molar concentration is a dose. It is a concentration; a dose is an amount.
Important limitations
- Cannot cross into mass concentrations, which require a molar mass.
- Does not distinguish free from bound concentration, or unbound from total, which are the same number only in a very dilute system.
Frequently asked questions
What does the molar concentration converter do?
It converts a molar concentration value between M, mM, uM, nM and pM.
How do I use the molar concentration converter?
Enter a value, choose the source unit, M, mM, uM, nM or pM, and the target unit.
What is the underlying method of the molar concentration converter?
A direct conversion table applying the correct power-of-ten scale factor between each pair of molar concentration units, since each step from M down to pM is a factor of 1000.
How is the molar concentration converter different from the concentration unit converter?
The concentration unit converter works within the mass/volume family, g/L, mg/L, mg/mL, mcg/mL, ng/mL; this converter works within the molar, moles per litre, family, which requires no knowledge of molar mass since it never leaves the molar family.
Do I need to know the molar mass of my compound to use the molar concentration converter?
No, converting within the molar family, M, mM, uM, nM, pM, is unit scaling only and does not require molar mass, unlike converting between the molar and mass/volume families.
What if I need to convert a molar concentration to mg/mL?
Use the mass-molarity converter on this site instead, which accepts a molar mass and can bridge between the molar and mass/volume families in either direction.
Can the molar concentration converter accept a negative concentration value?
No, negative values are rejected as invalid.
Is the molar concentration converter free to use?
Yes, entirely client side.
How do I convert nM to ng/mL, or uM to ng/mL?
You cannot without also knowing the molar mass, because nanomolar and micromolar are molar units while ng/mL is a mass/volume unit. Use the mass-molarity converter on this site instead, which takes the same molar value plus a molar mass in g/mol and returns ng/mL, mg/mL or any other mass/volume unit directly.
Is nmol the same as nM (nanomolar)?
No. nmol is an amount of substance, moles times 10^-9, with no volume attached, while nM is a concentration, moles per litre times 10^-9. nmol becomes nM only once you divide by a specific volume, for example 5 nmol in 1 mL is 5 uM, not 5 nM.
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