Surface Profile Diagram
Mean LineRaValleyEvaluation Length LSurface Profile

Ra — Average Roughness

Ra is the arithmetic average of the absolute deviations of the surface profile from the mean line over the evaluation length. It is the most commonly used parameter for specifying general surface finish.

Engineering Characteristic
Ra = (1 / L) ∫₀ᴸ |y(x)| dx

Technical Specifications

ParameterMeaningTypical Use
RaArithmetic mean deviationGeneral surface finish specification
UnitμmMost engineering drawings
Lower RaSmoother surfacePrecision / sealing / sliding surfaces
Higher RaRougher surfaceGeneral machining / non-critical surfaces
Surface Profile Diagram
Mean LineRzPeak → ValleyMaximum Profile Height

Rz — Profile Height

Rz describes the vertical surface-profile height using the highest peaks and deepest valleys within sampling lengths. Unlike Ra, Rz is more sensitive to isolated peaks and valleys.

Engineering Characteristic
Rz = average of the maximum peak-to-valley heights

Technical Specifications

ParameterMeaningEngineering Relevance
RzMean maximum profile heightSensitive to peaks and valleys
UnitμmSurface texture specification
High RzLarge peak-to-valley variationPotential sealing / fatigue concern
Low RzMore controlled profilePrecision finished surfaces
Surface Profile Diagram
RqRMS emphasizes larger deviations√(mean of y²)

Rq — RMS Roughness

Rq is the root mean square value of the profile deviations from the mean line. Because the deviations are squared, Rq gives greater weight to larger peaks and valleys than Ra.

Engineering Characteristic
Rq = √[(1 / L) ∫₀ᴸ y²(x) dx]

Technical Specifications

ParameterMeaningCharacteristic
RqRoot mean square roughnessEmphasizes larger deviations
UnitμmProfile measurement
RelationRq is generally ≥ RaExact ratio depends on profile shape
ApplicationStatistical surface characterizationPrecision metrology
Surface Profile Diagram
RtHighest Peak → Deepest Valley

Rt / Rmax — Total Height

Rt represents the total height of the roughness profile over the evaluation length, measured from the highest peak to the deepest valley. Rmax is commonly used for the maximum roughness depth within a sampling length, depending on the applicable standard.

Engineering Characteristic
Rt = Zpeak(max) − Zvalley(min)

Technical Specifications

ParameterDefinitionSensitivity
RtHighest peak − deepest valleyVery sensitive to isolated defects
RmaxMaximum roughness depthSampling-length dependent
UnitμmSurface profile measurement
UseMaximum surface irregularity controlCritical surfaces
Surface Profile Diagram
N1N2N3N4N5N6N7N8N9N10N11N12Ra (μm)FinerCoarser

Surface Roughness Grades

Surface roughness grades provide a convenient way of communicating the required surface finish. The grade is conventionally associated with an Ra range, with lower N numbers representing finer surfaces.

Engineering Characteristic
Lower N number → lower Ra → finer surface

Technical Specifications

GradeApprox. Ra (μm)Typical Finish
N10.025Superfinishing / ultra-fine
N20.05Very fine finishing
N30.1Fine finishing
N40.2Precision finishing
N50.4Fine grinding / finishing
N60.8Grinding / fine machining
N71.6Precision machining
N83.2General machining
N96.3Rough machining
N1012.5Rough machining
N1125Very rough machining
N1250Very coarse surface
Surface Profile Diagram
GrindingReamingFine TurningMillingDrillingCastingRelative Typical RoughnessRougher →

Machining Processes

Surface roughness depends strongly on machine condition, tool geometry, cutting parameters, material, coolant, vibration and finishing method. The values below are representative engineering ranges rather than guaranteed process limits.

Engineering Characteristic
Surface finish depends on process + tool + parameters + material

Technical Specifications

ProcessTypical Ra RangeSurface Character
Grinding≈ 0.1–1.6 μmFine / precision finish
Reaming≈ 0.4–3.2 μmFine internal surface
Fine Turning≈ 0.4–3.2 μmControlled machined finish
Milling≈ 0.8–6.3 μmTool-marked machined surface
Drilling≈ 1.6–12.5 μmRelatively rough internal surface
Rough Turning≈ 3.2–12.5 μmGeneral / rough machining
Casting≈ 6.3–50 μmCoarse as-cast surface
Forging≈ 3.2–25 μmCoarse formed surface