WEIGHTS AND MASS STANDARDS
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1 WEIGHTS AND MASS STANDARDS IN ACCORDANCE WITH THE OIML R111: 2004 MADE BY WEEGTECHNIEK HOLLAND B.V. Patroonsweg DA Zeewolde The netherlands Tel. +31 (0) Fax. +31 (0) Website:
2 Perfect Weights and mass standards made by HÄFNER 1. Use of weights for adjustment, calibration and verification of weighing instruments; for adjustment, calibration and verification of weights of a lower class of accuracy; with weighing instruments. Weights are distinguished to different accuracy classes. The accuracy classes E1, E2, F1, F2, M1, M2, M3 are defined in the international recommendation OIML R111. Some national norms (e.g. ASTM 617 in USA) have defined other classes (e.g. ASTM 617, classes 0, 1, 2, 3, 4, 5, 6, 7). Notice: Häfner manufactures weights in accordance with OIML R111, ASTM 617 or other national rules. The OIML weight classes are defined as follows: a. E 1 Weights: weights intended to ensure traceability between national mass standards (with values derived from the International Prototype of the kilogram) and weights of class E 2 and lower. E 1 weights or weight sets shall be accompanied by a calibration certificate. b. E 2 Weights: weights intended to be used for the initial verification of class F 1 weights and intended to be used with weighing instruments of accuracy class I. E 2 weights or weight sets shall always be accompanied by a calibration certificate. They may be used as class E 1 weights if they comply with the requirements for surface roughness and magnetic susceptibility and magnetization for class E 1 weights and their calibration certificate. c. F 1 Weights: weights intended to be used for the initial verification of class F 2 weights and intended to be used with weighing instruments of accuracy class I and II. d. F 2 Weights: weights intended to be used for the initial verification of class M 1 and possibly M 2 class weights, intended to be used for important commercial transactions (e.g. gold and precious stones) on weighing instruments of accuracy class II. e. M 1 Weights: weights intended to be used for the initial verification of class M 2 weights, intended to be used with weighing instruments of accuracy class III. f. M 2 Weights: weights intended to be used for the initial verification of class M 3 weights, intended to be used in normal commercial transactions and on weighing instruments of accuracy class III. g. M 3 Weights: weights intended to be used on weighing instruments of accuracy classes IIII. 2. Units and nominal values Following SI-units are used: for mass: milligram mg gram g kilogram kg for density: kilogram per cubic meter kg/m³ The nominal values of the mass for weights shall be equal to 1 x 10 n kg, 2 x 10 n kg, 5 x 10 n kg. Häfner manufactures also weights with other nominal values (e.g. 2,5 g) and units (e.g. N for testing a force, oz and lb according ASTM 617) for the customer s use. B page 2 of 11
3 3. Construction, shape and design Häfner fulfils all requirements for the construction of weights as given by the International Recommendation OIML R111. class E1 and E2: solid, no cavities, single piece of one material class F1 and F2: one or more pieces of the same material adjusting cavity is allowed shall be sealed by a knob or other suitable device class M1, M2 and M3: 1 g 10 g: adjusting cavities are not recommended 20 g + 50 g: adjusting cavities are optional 100 g 5000 kg: shall have adjusting cavities By Häfner customers also can order special constructions, shapes and designs for their weights. Standard weights shall have a simple shape no sharp edges no pronounced hollows weights of 1 g or less: sheet weights wire weights Häfner customers can choose fraction weights between sheet or wire weights. Also special designs are possible. nominal value shape sheet weights wire weights mg triangle triangle or 3 segments mg square square or 4 segments mg pentagon pentagon or 5 segments Weights of 1 g and larger: For weights of 1 g and larger Häfner manufactures all shapes in below table. If you require special designs please contact us. OIML R111 shape M3 M2 M1 F2 F1 E2 E1 knob weights X X X X X X X cylinder weights X X X X disc weights X X X X hooked weights X X X X handle weights X X X X X X X slotted weights X X X X X block weights X X X X X X X rolling weights X X X carrier weights X X X X B page 3 of 11
4 4. Characteristics of the Materials The weights shall be corrosion resistant. The quality of the material shall be such that the change in the mass of the weights shall be negligible in relation to the maximum errors permitted in their accuracy class under normal conditions of use and the purpose for which they are being used. E1 and E2: hardness and resistance to wear shall be similar or better than that of austenitic stainless steel. F1 and F2: hardness and brittleness of the materials shall be at least equal to that of drawn brass. M1: resistance to corrosion and brittleness of block weights from 5 kg 50 kg shall at least equal to that of cast iron. Cylindrical weights 1 g 20 kg shall be made of brass or similar or better than that of brass. Surface treatment is permitted. Weights less than 1 g: material shall be resistant to corrosion and oxidisation; surface shall not be coated. M2 and M3: Cast iron shall not be used for weights less than 100 g. Hardness and corrosion resistance of cylindrical weights, 1 g 20 kg,shall be at least that of brass and brittleness not exceeding that of cast iron. Surface treatment is permitted. Weights less than 1 g: material shall be resistant to corrosion and oxidisation; surface shall not be coated. Magnetization and Susceptibility The magnetization and susceptibility should not exceed the maximum values given in following tables. Maximum Permanent Magnetization, µ 0 M (µt) Weight E 1 E 2 F 1 F 2 M 1 M 2 M 3 Maximum Magnetization, µ 0 M (µt) Maximum Susceptibility, χ Weight E 1 E 2 F 1 F 2 m 1 g g m 10 g g m If the values of all local measurements of magnetization and susceptibility are less than these limits, then it may be assumed that the uncertainty components due to the magnetism of the weight are negligible. The maximum permanent magnetization and magnetic susceptibilities and given in Tables 4 and 5 are such that, at magnetic fields and magnetic field gradients possibly present on balance pans, they produce a change of the conventional mass of less than 1/10 of the maximum permissible error of the test weight. B page 4 of 11
5 Density The density of the material used for weights shall be such that a deviation of 10 % from the specified air density (1,2 kg m³) does not produce an error exceeding 1/4 of the maximum permissible error. These limits are given in the following table: Nominal ρ min...ρ max (10³ kg m³) value E1 E2 F1 F2 M1 M2 100 g 7, ,067 7,81...8,21 7,39...8,73 6,4...10,7 4,4 2,3 50 g 7,92...8,08 7,74...8,28 7,27...8,89 6,0...12,0 4,0 20 g 7,84...8,17 7,50...8,57 6,6...10,1 4,8...24,0 2,6 10 g 7,74...8,28 7,27...8,89 6,0...12,0 4,0 2,0 5 g 7,62...8,42 6,9...9,6 5,3...16,0 3,0 2 g 7,27...8,89 6,0...12,0 4,0 2,0 1 g 6,9...9,6 5,3...16,0 3,0 500 mg 6,3...10,9 4,4 2,2 200 mg 5,3...16,0 3,0 100 mg 4,4 2,3 50 mg 3,4 20 mg 2,3 Used materials by Häfner weights Identification Material Used classes Used nominal values Density Uncertainty of density U (k=2) Magnetization µ0m (µt) Magnetic susceptibility χ Hardness GG25 cast iron M3, M2, M1 100 g kg 7200 kg/m 3 +/- 400 kg/m ca 240 HB ST steel M3, M2, M1 1 kg kg 7850 kg/m 3 +/- 200 kg/m ca 140 HB MS58 special brass, finely turned M3, M2, M1 1 g - 20 kg 8400 kg/m 3 +/- 100 kg/m 3 0,05-4 < 0,03 ca. 150 HB MS58N special brass, nickel-plated M3, M2, M1 1 g - 20 kg 8400 kg/m 3 +/- 100 kg/m < 0, HV Schichthärte AL99 aluminium M1 - E1 NS48 nickel silver M2 - E2 sheet and wire weights: 1 mg - 5 mg sheet weights: 10 mg mg 2650 kg/m 3 +/- 130 kg/m 3 0,01 0,5 < 0, kg/m 3 +/- 170 kg/m 3 0,05-2 < 0, HV MS58M special brass, miralloy-plated F2, F1 1 g - 20 kg 8400 kg/m 3 +/- 100 kg/m 3 0,05-4 < 0, HV Schichthärte HF12 HE210 austenitic stainless steel special weight steel F2, F1, E2 1 g kg 7950 kg/m 3 +/- 100 kg/m 3 0,05 1,5 < 0,03 ca 110 HB E2, E1, E0 wire weights: 1 mg mg sheet weights: 10 mg -500 mg and 1 g kg 8000 kg/m 3 +/- 15 kg/m 3 0,01 0,5 0,002-0, HB B page 5 of 11
6 Austenitic stainless steel: HF12 The austenitic stainless steel HF12 is a corrosion-resistant material and has a good polishability. HF12 meets all requirements of OIML R111, class E2, F1 and F2. A feature of this stainless steel is the magnetic properties (susceptibility and magnetisation). Because of these small values the material is used for weights and mass standards in general industry, chemical and pharmaceutical industries and in many state offices for measures and metrology. HF12 affords a good long-time stability. Häfner uses this steel for weights and mass standards of class E2, F1 and F2. The following properties show the high quality of this stainless steel. Physical characteristics density kg/m³ Susceptibility of volume χ Magnetisation µ0m / µt Coefficient of linear thermal expansion Coefficient of thermal volume expansion / ,005-0,02 0, ,0 * 10-6 m / (m*k -1 ) 48,0 * 10-6 K -1 Heat conductivity at 20 C W/(m*K) Specific heat J/(kg*K) Electrical resistance at Modulus of elasticity [ kn / mm² ] at 20 C Ohm*mm² / m 20 C 100 C 200 C 300 C 400 C 500 C , Mechanical characteristics Rm tensile strength Hardness HB Polishability, Grain size according to ASTM E or finer type of product direction of testing Rp 0,2 proof stress Rp 1,0 proof stress A5 elongation % min. AV average value of notched bar impact work, J min. Bars < 160 mm longitudinal Bars > 160 mm and sheets or plates < 50 mm transversal Limits of chemical composition (reference data for information purposes) proof by weight in % C Si Mn P S Cr Mo Ni Cu N Ti melting min analysis max. 0,07 0,5 2,0 0,05 0, ,0 14 0,5 0,3 0,2 B page6 of 11
7 Special weight steel: HE210 Austenitic stainless steel HE210 is a highly corrosion-resistant material. Häfner has further modified this stainless steel with special characteristics for the use as a special weight steel. HE210 meets all requirements of OIML R111, class E1 and also of the theoretical class "E0" (primary mass standards). A superior feature of HE210 is the small uncertainty of the density. Consequently every manufactured batch is close to 8000 kg/m³. A further quality of this stainless steel is the magnetic properties (susceptibility and magnetisation). These values are small, allowing the material to be used for primary mass standards in many national institutes of metrology. Resulting from the special vacuum melting and remelting production this steel has many advantages over standard stainless steels: Optimum homogeneous ingot structure (minimum segregation levels, uniform density, absence of pipes and discontinuities) Minimum gas contents Minimum of contents of trace elements (such as As, Sb, Sn etc.) Minimum contents of nonmetallic inclusions Highly uniform distribution of any remaining inclusions Optimum polishability, smallest grain size according to ASTM E112: grain size 6 or finer Virtually isotropic properties (particularly as regards toughness) High reproducibility thanks to process automation HE210 is very resistant to pitting and stress corrosion cracking and to general corrosion. Consequently those weights and mass standards made of HE210 have a very good longtime stability. Häfner employs this excellent steel for weights and mass standards of class E0, E1 and optionally for class E2. The following properties shows the high quality of this steel. Physical characteristics density kg/m³ Susceptibility of volume χ Magnetisation µ0m / µt Coefficient of linear thermal expansion Coefficient of thermal volume expansion /- 15 0,002-0,004 0,01 0,5 15,5 * 10-6 m / (m*k -1 ) 46,5 * 10-6 K -1 Heat conductivity at 20 C W/(m*K) Specific heat J/(kg*K) Electrical resistance at Modulus of elasticity [ kn / mm² ] at 20 C Ohm*mm² / m 20 C 100 C 200 C 300 C 400 C 500 C , B page 7 of 11
8 Mechanical characteristics Rm tensile strength Hardness HB Polishability, Grain size according to ASTM E or finer type of product direction of testing Rp 0,2 proof stress Rp 1,0 proof stress A5 elongation % min. AV average value of notched bar impact work, J min. Bars < 160 mm longitudinal Bars > 160 mm and sheets or plates < 50 mm transversal Limits of chemical composition (reference data for information purposes) by weight in % proof C Si Mn P S Cr Mo Ni Cu N Ti melting min. 17 2,0 20 0,5 analysis max. 0,03 1,0 3,0 0,05 0, ,5 28 2,5 0,3 0,2 Schaeffler-Diagram Nickel Equivalent=%Ni+30x%C+0.5x%Mn HE Austenite A + M HF A + F 10 8 Martensit 6 A+M+F 4 M + F 2 Ferrite Chromium Equivalent=%Cr+%Mo+1.5x%Si+0.5x%Nb B page 8 of 11
9 5. Surface Conditions Under normal use, the surface qualities shall be such that any alteration of the mass of the weights is negligible with respect to the maximum error. E1, E2, F1 and F2: The surface of the weights (including the base and corners) shall be smooth and the edges shall be rounded. The weights shall not appear to be porous and shall present a glossy appearance. Weights of class E1 and E2 shall have no surface coatings. At Weights of class F1 and F2 a metalized surface coating is allowed. In case of doubt the following maximum values of surface roughness are given: E1 E2 F1 F2 Rz (µm) 0, Ra (µm) 0,1 0,2 0,4 1 Rz (µm) by Häfner Ra (µm) by Häfner 0,1 0,15 0,15 0,3 0,2 0,5 0,02 0,03 0,03 0,06 0,04 0,1 polished fine grinted 0,2 0,5 1,5 3 polished fine grinted 0,04 0,1 0,3 0,6 M1, M2, M3: Cylindrical weights 1g - 10 kg: the surface shall be smooth and shall not appear to be porous. Rectangular weights 5 kg: the surface shall be similar to that of cast iron carefully cast in fine sand mould. The surface may be painted or with any suitable coating. 6. Presentation and weight sequence Weights of the same set shall be of the same class. Fraction weights shall be contained in cases that have individual cavities. The lid of the cases shall be marked to indicate their class in form of E1, E2, F1, F2, M1, M2, M3. E1 - F2: Individual weights and sets of weights shall be contained in cases made of wood, plastic or any suitable material that has individual cavities. M1: Individual or weights in sets 500 g shall be contained in a case with individual cavities. The sequence of a weight set shall comprise of one of the following: (1; 1; 2; 5) x 10 n kg (1; 1; 1; 2; 5) x 10 n kg (1; 2; 2; 5) x 10 n kg (1; 1; 2; 2; 5) x 10 n kg or m x 1 x 10 n kg m x 2 x 10 n kg m x 5 x 10 n kg where "n" represents a positive or negative integer or zero and where "m" represents the number of multiple pieces. B page 9 of 11
10 7. Marking Except weights of class E1 and E2, weights of one gram and multiples of one gram shall be marked to clearly indicate their nominal value. The numerals indicating the nominal values of the mass of the weight shall represent: Kilograms - for masses 1 kg and above Grams - for masses from 1 g to 500 g. Duplicate or triplicate weights in a set shall be clearly distinguished by a number or one or two asterisks or points on the centre of the surface, except for wire weights which shall be distinguished by one or two hooks. E1 and E2: These weights shall not be marked with the nominal value, symbol of the unit or a sign for the class. The user markings are only to separate the weights from other weights of class E1 and E2. The class shall be indicated on the cover of the case. Weights of class E2 may bear an off-centre point on the top surface to distinguish them from class E1. F1 and F2: Weights of class F1 and F2 shall bear, by burnishing or engraving, the indication of their nominal value without any symbol of the unit. Weights of class F2 shall bear a "F" for their class identification additionally. M1, M2 and M3: Cylindrical and rectangular weights shall indicate the nominal value of the weight followed by the symbol "g" or "kg", in hollow or relief on the upper surface. M1 shall bear the sign "M1" or "M" for the class identification. M2 shall bear the sign "M2" for the class identification. M3 shall bear the sign "M3" or "X" for the class identification. M2 and M3 weights may bear the manufacturer mark. User marking Additionally to the marking of the nominal value, unit and the class identification weights can bear an user mark to provide exchanging with other weights of the same class. The acceptable maximum values for user markings are given: Nominal value Height of lettering (mm) Maximum number of signs, numerals or letters E1 1 g 2 3 E2 1 g 3 4 F1 to M2 1 g to 100 g 3 5 F1 to M2 200 g to 10 kg 5 5 F1 to M2 20 kg 7 5 Häfner is marking with a special laser, so the surface quality and mass stability is not affected by this kind of process. Also sheet weights <1 g are be able to be marked with this equipment. Be careful: By other methods of marking (e.g. edging or burnishing) there is a danger of corrosion and alteration of the mass, especially by class E1 and E2. B page 10 of 11
11 8. Adjustment A weight of given nominal value shall be adjusted in such a way that the conventional value of the result of weighing this weight in air is equal to the given nominal value, within the limits of the errors fixed for the accuracy class (see below table). The conventional mass m c shall be determined with an expanded measurement uncertainty U, where the coverage factor k=2 should be used. The expanded uncertainty U, for k=2 of the conventional mass, shall be less than or equal to 1/3 of the maximum permissible error: U (k=2) 1/3 δm For each weight, the conventional mass m c shall not differ by more than the difference of the maximum permissible error minus the expanded uncertainty, from the nominal value of the weight m 0 : m 0 - (δm -U) mc m 0 + (δm -U) nominal value class E1 class E2 class F1 class F2 class M1 class M2 class M3 nominal value +/- mg +/- mg +/- mg +/- mg +/- mg +/- mg +/- mg 1 mg 0,003 0,006 0,020 0,06 0,20 1 mg 2 mg 0,003 0,006 0,020 0,06 0,20 2 mg 5 mg 0,003 0,006 0,020 0,06 0,20 5 mg 10 mg 0,003 0,008 0,025 0,08 0,25 10 mg 20 mg 0,003 0,010 0,03 0,10 0,3 20 mg 50 mg 0,004 0,012 0,04 0,12 0,4 50 mg 100 mg 0,005 0,016 0,05 0,16 0,5 1,6 100 mg 200 mg 0,006 0,020 0,06 0,20 0,6 2,0 200 mg 500 mg 0,008 0,025 0,08 0,25 0,8 2,5 500 mg 1 g 0,010 0,030 0,10 0,3 1, g 2 g 0,012 0,040 0,12 0,4 1, g 5 g 0,016 0,050 0,16 0,5 1, g 10 g 0,020 0,060 0,20 0,6 2, g 20 g 0,025 0,080 0,25 0,8 2, g 50 g 0,030 0,10 0,30 1,0 3, g 100 g 0,05 0,16 0,5 1, g 200 g 0,10 0,30 1,0 3, g 500 g 0,25 0,80 2,5 8, g 1 kg 0,5 1, kg 2 kg 1,0 3, kg 5 kg 2,5 8, kg 10 kg kg 20 kg kg 50 kg kg +/- g +/- g +/- g +/- g +/- g +/- g +/- g 100 kg 0,16 0,5 1, kg 200 kg 0,30 1,0 3, kg 500 kg 0,80 2,5 8, kg 1000 kg 1, kg 2000 kg kg 5000 kg kg E1 and E2: The surface requirements (highly polished) shall be met at the whole weight surface after the adjustment process. There is no adjustment cavity allowed. This weights shall be accompanied by certificates. The deviation from the nominal value mc - m 0 shall be taken into account by the user. F1 and F2: Solid weights shall be met the required surface after the adjustment process. Adjustment cavities are allowed. The weights shall be adjusted with the same material from which they are made or with tin, molybdenum or tungsten. M1, M2 and M3: The material used for adjusting shall be any solid material such as lead, it shall not change (chemically or electrolytically) the mass and constitution of the weight into which it is included. B page 11 of 11
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