Hicham Bentaous

Mass calibration

A balance reading is a force, not a mass, so air, temperature and level all enter. Mass calibration compares weights of known class with the balance, or weights with weights on a comparator.

Instruments and typical accuracy

InstrumentTypical rangeTypical accuracyWhere it is used
MicrobalanceUp to about 5 gReadability 0.1 to 1 µgPharma, filters, research
Analytical balanceUp to about 200 gReadability 0.1 mgLaboratory weighing
Precision balanceUp to several kgReadability 1 mg to 0.1 gProduction, packaging
Mass comparatorTo 1 kg to 50 kgDown to microgramsWeight calibration
Platform or floor scale10 kg to tonnes0.01 to 0.1 % of capacityLogistics, trade
Reference weights (OIML E1 to M3)1 mg to 50 kgSee OIML R 111-1 tablesCalibrating balances

Weights and balances are specified separately: a Class F1 weight does not make a Class F1 result. The accuracy figures are typical ranges to help you compare instruments. Always use the specification of the instrument in front of you.

OIML R 111-1 maximum permissible errors (± mg)

Nominal massE1E2F1F2M1
1 mg0.0030.0060.0200.060.20
10 mg0.0030.0080.0250.080.25
100 mg0.0050.0160.050.160.5
1 g0.0100.030.100.31.0
10 g0.0200.060.200.62.0
100 g0.050.160.51.65.0
1 kg0.51.65.01650

A selection of rows. The standard lists every nominal value and the classes M2 and M3. A weight is conforming only if its error plus the calibration uncertainty stays inside the limit.

Reference standards and traceability

  • Weights. OIML R 111-1 defines classes E1, E2, F1, F2, M1, M2 and M3 with maximum permissible errors, shape, density and magnetic limits.
  • Balances. OIML R 76 and NIST Handbook 44 define classes and tests for non-automatic weighing instruments.
  • Traceability. Weights are traced to the kilogram, now defined from the Planck constant, through national and accredited labs.
  • Quality system. ISO/IEC 17025 with ASTM E617 or OIML R 111 for the weight classes.

How it is calibrated

Typical procedure

  1. Let the weights reach laboratory temperature (hours for large weights) and handle them with gloves or tweezers.
  2. Level the balance, warm it up, and run its internal adjustment if it has one.
  3. Test repeatability: load a test weight 5 to 10 times and take the standard deviation.
  4. Test eccentricity with the weight in the centre and four corner positions.
  5. Test accuracy at several loads across the range, including the upper end, ascending and descending.
  6. Correct for air buoyancy when the density of the load differs from the weights, and report with the uncertainty.

Where it goes wrong

  • Draughts and vibration. Air movement and tables that move make the last digits meaningless.
  • Temperature differences. A warm weight appears lighter because of convection.
  • Dirty or damaged weights. Fingerprints add milligrams, and a chip changes the mass.
  • Magnetism and static. Steel and plastic loads can attract the pan.
  • Ignoring buoyancy. Water at 100 g reads about 0.1 g low compared with steel weights.

What goes in the uncertainty budget

  • Uncertainty of the reference weights, including drift.
  • Repeatability and resolution of the balance.
  • Eccentricity and linearity.
  • Air buoyancy, from air density and sample density.
  • Temperature, draughts, magnetism and static.

Combine the contributions as in the uncertainty budget calculator, then decide pass or fail with a guard band as explained on the calculators page.

Calculators

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