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Surface roughness Ra and Rz

Convert Ra and Rz into each other, match values to the roughness grades N1 to N12 and check which manufacturing process achieves your target roughness, live with every input.

Converter Ra ↔ Rz

Rz ≈ 6.4 to 11.2 µm

Roughness grade: N7

Measurement conditions per ISO 21920-3

Nesting index S-filter N_is
2.5 µm
Nesting index L-filter N_ic
0.8 mm
Section length l_sc
0.8 mm
Evaluation length l_e
4 mm

Default values for the specified target, based on 5 sections. Since ISO 21920-3 the measurement conditions follow from the drawing specification, no longer from a pre-measurement.

Approximation using the empirical factor Rz ≈ 4 to 7 · Ra. An exact conversion does not exist; the actual ratio depends on the manufacturing process.

Roughness grades N1 to N12 per ISO 1302

GradeRa max. in µm
N10.025
N20.05
N30.1
N40.2
N50.4
N60.8
N71.6
N83.2
N96.3
N1012.5
N1125
N1250

Informative only, but still found on legacy drawings.

Achievable roughness by manufacturing process

Typical Ra range: 0.1 to 1.6 µm
Typical Rz range: 0.8 to 10 µm

0.010.1110100Ra in µm (logarithmic)Rough turningFinish turningMillingDrillingBroachingGrindingLapping / polishing

Yellow marker: your input value as Ra range.

Suitable processes for your target value:

Guide values from common reference tables. Achievable values depend on tooling, cutting parameters and material.

Calculation in your browser, inputs go to our server only when you export or save.

Formulas and fundamentals

Ra and Rz parameters

Ra is the arithmetic mean deviation of the profile, Rz the maximum height of the profile within a sampling length. Both parameters are defined in ISO 21920.

Conversion between Ra and Rz

An exact conversion between Ra and Rz does not exist. In practice the following empirical ratio is used:

Rz ≈ 4 to 7 · Ra

The actual ratio depends on the manufacturing process and the profile shape.

Roughness grades N1 to N12

The roughness grades N1 to N12 per ISO 1302 assign a grade to each Ra limit, from N1 with Ra 0.025 µm up to N12 with Ra 50 µm.

Worked example

For a ground functional surface with Ra 0.8 (grade N6) the Rz value typically lies in the range of about 3.2 to 5.6 µm. The calculator shows the range, the matching N grade and suitable manufacturing processes such as grinding or broaching.

Frequently asked questions

What is the difference between Ra and Rz?

Ra averages the profile deviations over the evaluation length, Rz rates the maximum profile height within a sampling length. Rz therefore reacts much more sensitively to single scratches and peaks and is often more meaningful for function-critical surfaces.

Why is the conversion between Ra and Rz only an approximation?

Ra and Rz describe different properties of the same profile. The ratio of Rz to Ra depends on the profile shape and thus on the manufacturing process: it tends to be lower for turned surfaces and higher for ground ones. The common empirical range is Rz ≈ 4 to 7 · Ra; an exact formula does not exist.

What changed with ISO 21920 compared to the old ISO 4287?

ISO 21920 replaces ISO 4287 (parameter definitions), ISO 4288 (specification operators) and ISO 1302 (drawing indication). It combines parameters, measurement conditions and drawing indication in one series of standards, redefines default measurement conditions and refines, among other things, how Rz is determined over the sampling lengths. Two changes affect acceptance directly: the default is now the maximum tolerance acceptance rule instead of the 16 % rule, and surface imperfections count as part of the specified surface under ISO 21920-3, so they have to be taken into account when locating the measurement trace. The same drawing indication therefore states a stricter requirement than before.

Are the roughness grades N1 to N12 still valid today?

The N grades originate from the withdrawn ISO 1302 and are no longer intended on new drawings, where Ra or Rz are stated directly with a numerical value. On legacy drawings and in shop-floor practice the N grades are still widespread; N7 corresponds to Ra 1.6 µm, for example.

How is Rz indicated on drawings?

Rz is written in the surface texture symbol with its value in µm, for example Rz 6.3. Per ISO 21920-1 the value is by default an upper limit governed by the maximum tolerance acceptance rule: no measured value may exceed the limit. The symbol Tmax may be added for clarity. If the 16 % rule is intended instead, it has to be requested explicitly with T16 %. Under the superseded ISO 1302 it was the other way round: the 16 % rule was the default and the maximum rule was indicated by the suffix max (Rz max 6.3).

Which manufacturing process achieves which roughness?

Rough turning is typically at Ra 6.3 to 25, finish turning and milling at Ra 0.8 to 6.3, drilling at Ra 1.6 to 12.5, broaching at Ra 0.4 to 3.2, grinding at Ra 0.1 to 1.6 and lapping or polishing below that.

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