Knowledge

Parts-per notation

Source 📝

543: 837:. Since it is usually not stated which quantity is used, it is better to write the units out, such as kg/kg, mol/mol or m/m, even though they are all dimensionless. The difference is quite significant when dealing with gases, and it is very important to specify which quantity is being used. For example, the conversion factor between a mass fraction of 1 ppb and a mole fraction of 1 ppb is about 4.7 for the greenhouse gas 40: 1918: 1681:(EPA) currently sets a hard limit of 30 ppq for dioxin in drinking water but once recommended a voluntary limit of 0.013 ppq. Also, radioactive contaminants in drinking water, which are quantified by measuring their radiation, are often reported in terms of ppq; 0.013 ppq is equivalent to the thickness of a sheet of paper versus a journey of 877:) may use mass/volume. Unfortunatelly, many academic publications of otherwise excellent level fail to specify their use of the parts-per notation, which irritates some readers, especially those who are not experts in the particular fields in those publications, because parts-per-notation, without specifying what it stands for, can mean anything. 848:
The usage of the parts-per notation is generally quite fixed within each specific branch of science, but often in a way that is inconsistent with its usage in other branches, leading some researchers to assume that their own usage (mass/mass, mol/mol, volume/volume, mass/volume, or others) is correct
841:
in air (Molar mass of CFC-11 / Mean molar mass of air = 137.368 / 28.97 = 4.74). For volume fraction, the suffix "V" or "v" is sometimes appended to the parts-per notation (e.g. ppmV, ppbv, pptv). However, ppbv and pptv are also often used for mole fractions (which is identical to volume fraction
622:
is typically used to denote changes in or differences between percentage interest rates (although it can also be used in other cases where it is desirable to express quantities in hundredths of a percent). For instance, a change in an interest rate from 5.15% per annum to 5.35% per annum could be
241:
symbol (%), are used in regular prose (as opposed to mathematical expressions), they are still pure-number dimensionless quantities. However, they generally take the literal "parts per" meaning of a comparative ratio (e.g. "2 ppb" would generally be interpreted as "two parts in a billion
46:
aqueous solutions, diluted from 10,000 to 1 parts-per-million in intervals of 10 fold dilution. At 1 ppm the solution is a very pale yellow. As the concentration increases the colour becomes a more vibrant yellow, then orange, with the final 10,000 ppm a deep red
597:
sign (‰). Note however, that specific disciplines such as oceanography, as well as educational exercises, do use the "ppt" abbreviation. "One part per thousand" denotes one part per 1,000 (10) parts, and a value of 10. This is equivalent to about ninety seconds out of one
332:
is usually expressed in ppm. It represents the difference of a measured frequency in parts per million from the reference frequency. The reference frequency depends on the instrument's magnetic field and the element being measured. It is usually expressed in
159:, it is common to assume that the density of water is 1.00 g/mL. Therefore, it is common to equate 1 kilogram of water with 1 L of water. Consequently, 1 ppm corresponds to 1 mg/L and 1 ppb corresponds to 1 μg/L. 611:
sign (‱). Although rarely used in science (ppm is typically used instead), one permyriad has an unambiguous value of one part per 10,000 (10) parts, and a value of 10. This is equivalent to about nine seconds out of one day.
1500:
This is a simplified explanation. Laser rangefinders typically have a measurement "granularity" of one to ten millimeters; thus, the complete specification for distance measurement accuracy might read as follows: "Accuracy
885:
SI-compliant units that can be used as alternatives are shown in the chart below. Expressions that the BIPM explicitly does not recognize as being suitable for denoting dimensionless quantities with the SI are marked with
775:(ISO) take the position that "in mathematical expressions, the internationally recognized symbol % (percent) may be used with the SI to represent the number 0.01" for dimensionless quantities. According to 849:
and that other usages are incorrect. This assumption sometimes leads them to not specify the details of their own usage in their publications, and others may therefore misinterpret their results. For example,
623:
denoted as a change of 20 basis points (per annum). As with interest rates, the words "per annum" (or "per year") are often omitted. In that case, the basis point is a quantity with a dimension of (time).
1480:(CIPM) stated that the response to the proposal of the uno "had been almost entirely negative", and the principal proponent "recommended dropping the idea". To date, the uno has not been adopted by any 817:
Although "ppt" usually means "parts per trillion", it occasionally means "parts per thousand". Unless the meaning of "ppt" is defined explicitly, it has to be determined from the context.
783:
should be used as an alternative, the parts-per notation remains nevertheless widely used in technical disciplines. The main problems with the parts-per notation are set out below.
207:
Parts-per notations are all dimensionless quantities: in mathematical expressions, the units of measurement always cancel. In fractions like "2 nanometers per meter"
675:) denotes one part per 1,000,000 (10) parts, and a value of 10. It is equivalent to about 32 seconds out of a year or 1 mm of error per km of distance traversed. In 845:
To distinguish the mass fraction from volume fraction or mole fraction, the letter "w" (standing for "weight") is sometimes added to the abbreviation (e.g. ppmw, ppbw).
1477: 1473: 776: 806: 772: 1678: 549: 809:(NIST) takes the stringent position, stating that "the language-dependent terms are not acceptable for use with the SI to express the values of quantities". 756: 1476:(IUPAP) in 1999 proposed the adoption of the special name "uno" (symbol: U) to represent the number 1 in dimensionless quantities. In 2004, a report to the 1890:"Report of the 16th meeting (13–14 May 2004) to the International Committee for Weights and Measures, of the International Bureau of Weights and Measures" 1574: 1871:, "When is used, a space separates the number and the symbol %." This practice has not been well adopted with regard to the % symbol, is 337:. Typical chemical shifts are rarely more than a few hundred Hz from the reference frequency, so chemical shifts are conveniently expressed in ppm ( 325: 725:) denotes one part per 1,000,000,000,000 (10) parts, and a value of 10. This is equivalent to about thirty seconds out of every million years. 1725: 805:" have different values in different countries, the BIPM suggests avoiding the use of "ppb" and "ppt" to prevent misunderstanding. The U.S. 742:) denotes one part per 1,000,000,000,000,000 (10) parts, and a value of 10. This is equivalent to about two and a half minutes out of the 278:)/°C; the numeric value representing a relative proportion does not change with the adoption of a different unit of length. Similarly, a 1970: 1965: 746:(4.5 billion years). Although relatively uncommon in analytical chemistry, measurements at the ppq level are sometimes performed. 255: 246: 185: 1807: 1960: 1955: 1834: 1670: 1889: 1652: 1990: 1950: 1515: 764: 734: 717: 132: 1922: 151:. The quantity "1 ppm" can be used for a mass fraction if a water-borne pollutant is present at one-millionth of a 779:, "a continued source of annoyance to unit purists has been the continued use of percent, ppm, ppb, and ppt". Although 704:) denotes one part per 1,000,000,000 (10) parts, and a value of 10. This is equivalent to about three seconds out of a 1985: 1505:
Consequently, a distance measurement of only a few meters would still have an accuracy of ±1 mm in this example.
933: 866: 341:/MHz). Parts-per notation gives a dimensionless quantity that does not depend on the instrument's field strength. 170:
to express the value of various proportional phenomena. For instance, a special metal alloy might expand 1.2 
826: 72: 1803: 650:
for mortality, crime and disease prevalence rates, and nuclear reactor engineering as a unit of reactivity. In
1396: 1854: 1481: 1445: 798: 590: 201: 76: 64: 802: 792: 1472:
Because of the cumbersome nature of expressing certain dimensionless quantities per SI guidelines, the
1975: 854: 655: 284: 80: 1868: 1634: 862: 542: 1850: 1721: 763:-language initials BIPM) recognizes the use of parts-per notation, it is not formally part of the 1785: 1580: 245:
Parts-per notations may be expressed in terms of any unit of the same measure. For instance, the
193: 1762: 1830: 197: 196:
in measurements. For instance, the accuracy of land-survey distance measurements when using a
31: 1722:"Report on Recent Committee Activities on Behalf of IUPAP to the 1999 IUPAP General Assembly" 1514:
In the particular case of coefficient of thermal expansion, the change to inches (one of the
1980: 1777: 850: 743: 651: 156: 237:
with positive values less than or equal to 1. When parts-per notations, including the
1609: 1448:; that is, the units of measurement factor out in expressions like "1 nm/m" (1 n 834: 1748:
Rules and Style Conventions for Expressing Values of Quantities: 7.10.3 ppm, ppb, and ppt
294:
is doing so at a rate that may be expressed in a variety of volumetric units, including
1823: 1747: 1603: 634: 329: 282:
that injects a trace chemical into the main process line at the proportional flow rate
1944: 830: 696: 581: 279: 68: 1872: 1789: 647: 646:
denotes one part per 100,000 (10) parts, and a value of 10. It is commonly used in
603: 565: 338: 200:
might be 1 millimeter per kilometer of distance; this could be expressed as "
1896: 572:, and a value of 10. This is equivalent to about fourteen minutes out of one day. 17: 1461: 619: 318: 234: 167: 56: 43: 1821:
Beychok, Milton R. (2005). "Air dispersion modeling conversions and formulas".
1804:"EPA on-line tools for site assessment calculation: Indoor air unit Conversion" 1585: 1519: 940: 768: 684: 569: 263: 171: 147:, for instance, the relative abundance of dissolved minerals or pollutants in 39: 1444:
Note that the notations in the "SI units" column above are for the most part
546:
Visualisation of 1%, 1‰, 1‱, 1 pcm and 1 ppm as fractions of the large block
79:
are quantity-per-quantity measures, they are pure numbers with no associated
1781: 1635:"Stating values of dimensionless quantities, or quantities of dimension one" 1597: 667: 608: 594: 144: 1917: 1591: 230: 192:
Parts-per notation is also employed to denote the change, stability, or
858: 705: 628: 615: 238: 179: 163: 52: 1538:
that of a Celsius-sized interval, the value is typically expressed as
658:, it is equivalent to 1 cm of error per km of distance traversed. 1763:"Units for use in atmospheric chemistry (IUPAC Recommendations 1995)" 1281: 1012: 964: 838: 760: 676: 312: 308: 63:
is a set of pseudo-units to describe small values of miscellaneous
1457: 1064: 1033: 944: 825:
Another problem of the parts-per notation is that it may refer to
301: 297: 267: 250: 175: 148: 38: 1557: 1553: 1545: 1541: 680: 275: 271: 152: 143:
Parts-per notation is often used describing dilute solutions in
874: 870: 589:
as "ppt" (which is usually understood to represent "parts per
560: 334: 771:" (%) is not formally part of the SI, both the BIPM and the 1934: 1522:. Since a Fahrenheit-sized interval of temperature is only 759:(an international standards organization known also by its 1928: 654:
it is equivalent to about 5 minutes out of a year; in
30:"Parts per billion" redirects here. For the film, see 1888:Consultative Committee for Units (13–14 May 2004). 821:
Mass fraction vs. mole fraction vs. volume fraction
1822: 857:may use mass/mass as well as volume/volume, while 1478:International Committee for Weights and Measures 1518:) is typically also accompanied by a change to 1474:International Union of Pure and Applied Physics 155:per gram of sample solution. When working with 1929:National Institute of Standards and Technology 807:National Institute of Standards and Technology 773:International Organization for Standardization 162:Similarly, parts-per notation is used also in 780: 8: 1935:International Bureau of Weights and Measures 757:International Bureau of Weights and Measures 585:should generally be spelled out in full and 135:(SI) system and its meaning is ambiguous. 1575:International Electrotechnical Commission 894: 541: 348: 1715: 1713: 1621: 1493: 896:Notations for dimensionless quantities 326:nuclear magnetic resonance spectroscopy 1629: 1627: 1625: 1853:. Introduction to green engineering. 27:Set of units to describe small values 7: 1825:Fundamentals of Stack Gas Dispersion 1761:Schwartz, S.E.; Warneck, P. (1995). 1679:U.S. Environmental Protection Agency 131:). This notation is not part of the 1829:(4th ed.). Milton R. Beychok. 1720:Petley, Brian W. (September 1998). 593:"). It may also be denoted by the 25: 1869:BIPM's SI brochure, section 5.3.7 1468:Uno (proposed dimensionless unit) 1916: 1456: =1 × 10) so the 564:is generally represented by the 1808:Environmental Protection Agency 1728:from the original on 2017-08-15 853:often use volume/volume, while 679:, it is also equivalent to one 262:may be expressed as 18.7 ( 182:and this would be expressed as 1286:1 part per million per minute 217:= 2 nano = 2×10 = 2 ppb = 2 × 1: 765:International System of Units 133:International System of Units 1437: 1429: 1421: 1418: 1410: 1407: 1405:0.3 part per million per °C 1404: 1401: 1389: 1386: 1383: 1380: 1372: 1364: 1356: 1353: 1345: 1337: 1329: 1326: 1318: 1310: 1302: 1299: 1291: 1288: 1285: 1279: 1271: 1263: 1255: 1252: 1244: 1236: 1228: 1225: 1217: 1214: 1211: 1208: 1200: 1197: 1194: 1191: 1183: 1175: 1167: 1164: 1156: 1148: 1140: 1137: 1129: 1121: 1113: 1110: 1102: 1099: 1096: 1093: 1085: 1077: 1069: 1062: 1054: 1046: 1038: 1031: 1023: 1020: 1017: 1010: 1002: 994: 991: 988: 980: 972: 969: 962: 954: 951: 948: 938: 1878:, and is not observed here. 1657:Corporate Finance Institute 1415: 1394: 1377: 1350: 1323: 1296: 1276: 1249: 1222: 1205: 1188: 1161: 1134: 1107: 1090: 1059: 1028: 1007: 985: 959: 931: 570:one part per 100 (10) parts 2007: 1770:Pure and Applied Chemistry 1673:are routinely made at the 867:permissible exposure limit 790: 767:(SI). Note that although " 204: = 1 ppm." 29: 1464:with values less than 1. 1416:A frequency change of... 992:2 parts per ten thousand 270:)/°C, or as 18.7 (μ 1971:Mathematical terminology 1873:contrary to Knowledge's 1446:dimensionless quantities 1256:5.24 parts per trillion 1189:A volume fraction of... 1168:2 parts per quadrillion 881:SI-compliant expressions 781:SI-compliant expressions 65:dimensionless quantities 1966:Environmental chemistry 1782:10.1351/pac199567081377 1688:trips around the world. 1606:(pcm) 1 part in 100,000 1397:temperature coefficient 1229:5.24 parts per billion 1212:5.24 parts per million 842:only for ideal gases). 1855:University of Virginia 1482:standards organization 1422:0.35 part per billion 1419:0.35 × 10 ƒ 1411:0.3 × 10/°C 1250:A mole fraction of... 1223:A mole fraction of... 1206:A mole fraction of... 1195:5.2 parts per million 1162:A mass fraction of... 1135:A mass fraction of... 1108:A mass fraction of... 1091:A mass fraction of... 952:    2% 554: 48: 1961:Dimensionless numbers 1956:Chemical nomenclature 1324:An uncertainty of... 1292:1 × 10/min 1141:2 parts per trillion 1070:2 parts per trillion 970:2 parts per thousand 813:Thousand vs. trillion 793:Long and short scales 787:Long and short scales 545: 345:Parts-per expressions 247:expansion coefficient 121:parts-per-quadrillion 42: 1991:Units of measurement 1951:Analytical chemistry 1925:at Wikimedia Commons 1701:Quantities and units 1653:"Basis Points (BPS)" 1600:(‱) 1 part in 10,000 1516:U.S. customary units 1438:0.35 × 10 1330:9 parts per billion 1303:5 parts per billion 1272:5.24 × 10 1245:5.24 × 10 1218:5.24 × 10 1114:2 parts per billion 1097:2 parts per million 1060:A sensitivity of... 1039:2 parts per billion 1029:A sensitivity of... 1018:2 parts per million 1008:A sensitivity of... 986:A sensitivity of... 960:A sensitivity of... 949:2 parts per hundred 656:distance measurement 178:of length for every 83:. Commonly used are 81:units of measurement 1594:(‰) 1 part in 1,000 1384:1 part per million 1357:1 part per billion 1201:5.2 × 10 897: 863:occupational safety 687:, expressed as g/t. 1986:Physical constants 1923:Parts-per notation 1776:(8–9): 1377–1406. 1705:General principles 1581:Milligram per cent 1520:degrees Fahrenheit 1277:A stability of... 895: 873:exposure limit in 855:chemical engineers 607:is denoted by the 555: 109:parts-per-trillion 61:parts-per notation 49: 1921:Media related to 1857:. 23 August 2012. 1588:(%) 1 part in 100 1503:±(1 mm + 1 ppm)". 1442: 1441: 1390:1 × 10 1373:1 × 10 1346:9 × 10 1319:5 × 10 1184:2 × 10 1157:2 × 10 1130:2 × 10 1103:2 × 10 1086:2 × 10 1055:2 × 10 1024:2 × 10 1003:2 × 10 981:2 × 10 955:2 × 10 865:and the field of 801:starting with a " 540: 539: 198:laser rangefinder 157:aqueous solutions 97:parts-per-billion 85:parts-per-million 33:Parts per Billion 18:Parts-per-million 16:(Redirected from 1998: 1920: 1904: 1903: 1901: 1895:. Archived from 1894: 1885: 1879: 1865: 1859: 1858: 1847: 1841: 1840: 1828: 1818: 1812: 1811: 1800: 1794: 1793: 1767: 1758: 1752: 1743: 1737: 1736: 1734: 1733: 1717: 1708: 1707:, ISO 31-0:1992. 1698: 1692: 1687: 1686: 1677:-ppq level. The 1669:Measurements of 1667: 1661: 1660: 1649: 1643: 1642: 1631: 1562: 1561: 1549: 1537: 1535: 1534: 1531: 1528: 1512: 1506: 1504: 1498: 1460:are pure-number 1435: 1427: 1402:0.3 (μHz/Hz)/°C 1370: 1362: 1343: 1335: 1316: 1308: 1269: 1261: 1242: 1234: 1181: 1173: 1154: 1146: 1127: 1119: 1083: 1075: 1052: 1044: 1000: 978: 898: 891: 869:(e.g. permitted 744:age of the Earth 652:time measurement 629:hundred thousand 614:In contrast, in 568:(%) and denotes 553: 552: 550:(larger version) 349: 316: 305: 293: 287: 261: 258: 233:are pure-number 228: 226: 225: 222: 191: 188: 130: 118: 106: 94: 21: 2006: 2005: 2001: 2000: 1999: 1997: 1996: 1995: 1941: 1940: 1913: 1908: 1907: 1899: 1892: 1887: 1886: 1882: 1875:Manual of Style 1866: 1862: 1849: 1848: 1844: 1837: 1820: 1819: 1815: 1802: 1801: 1797: 1765: 1760: 1759: 1755: 1744: 1740: 1731: 1729: 1719: 1718: 1711: 1699: 1695: 1691: 1684: 1682: 1668: 1664: 1651: 1650: 1646: 1641:. § 5.3.7. 1633: 1632: 1623: 1618: 1610:Per-unit system 1571: 1566: 1565: 1551: 1539: 1532: 1529: 1526: 1525: 1523: 1513: 1509: 1502: 1499: 1495: 1490: 1470: 1431: 1423: 1378:A strain of... 1366: 1358: 1339: 1331: 1312: 1304: 1297:A change of... 1265: 1257: 1238: 1230: 1177: 1169: 1150: 1142: 1123: 1115: 1079: 1071: 1048: 1040: 996: 974: 926: 924: 919: 917: 912: 911:parts-per ratio 910: 905: 887: 883: 861:, the field of 851:electrochemists 835:volume fraction 823: 815: 795: 789: 753: 613: 548: 547: 397: 395: 390: 388: 383: 381: 376: 374: 369: 367: 362: 360: 355: 353: 347: 306: 295: 291: 285: 283: 256: 254: 223: 220: 218: 208: 186: 183: 141: 128: 116: 104: 92: 37: 28: 23: 22: 15: 12: 11: 5: 2004: 2002: 1994: 1993: 1988: 1983: 1978: 1973: 1968: 1963: 1958: 1953: 1943: 1942: 1939: 1938: 1932: 1926: 1912: 1911:External links 1909: 1906: 1905: 1902:on 2014-03-10. 1880: 1860: 1842: 1835: 1813: 1795: 1753: 1738: 1709: 1693: 1689: 1662: 1644: 1620: 1619: 1617: 1614: 1613: 1612: 1607: 1604:Per cent mille 1601: 1595: 1589: 1583: 1578: 1570: 1567: 1564: 1563: 1507: 1492: 1491: 1489: 1486: 1469: 1466: 1440: 1439: 1436: 1428: 1420: 1417: 1413: 1412: 1409: 1406: 1403: 1400: 1392: 1391: 1388: 1385: 1382: 1379: 1375: 1374: 1371: 1363: 1355: 1352: 1351:A shift of... 1348: 1347: 1344: 1336: 1328: 1325: 1321: 1320: 1317: 1309: 1301: 1298: 1294: 1293: 1290: 1287: 1284: 1278: 1274: 1273: 1270: 1262: 1254: 1253:5.24 pmol/mol 1251: 1247: 1246: 1243: 1235: 1227: 1226:5.24 nmol/mol 1224: 1220: 1219: 1216: 1213: 1210: 1209:5.24 μmol/mol 1207: 1203: 1202: 1199: 1196: 1193: 1190: 1186: 1185: 1182: 1174: 1166: 1163: 1159: 1158: 1155: 1147: 1139: 1136: 1132: 1131: 1128: 1120: 1112: 1109: 1105: 1104: 1101: 1098: 1095: 1092: 1088: 1087: 1084: 1076: 1068: 1061: 1057: 1056: 1053: 1045: 1037: 1030: 1026: 1025: 1022: 1019: 1016: 1009: 1005: 1004: 1001: 993: 990: 987: 983: 982: 979: 971: 968: 961: 957: 956: 953: 950: 947: 937: 929: 928: 921: 914: 913:(short scale) 907: 902: 882: 879: 822: 819: 814: 811: 791:Main article: 788: 785: 752: 749: 748: 747: 727: 726: 710: 709: 689: 688: 660: 659: 635:per cent mille 624: 599: 574: 573: 538: 537: 534: 531: 528: 525: 522: 519: 515: 514: 511: 508: 505: 502: 499: 496: 492: 491: 488: 485: 482: 479: 476: 473: 469: 468: 465: 462: 459: 456: 453: 450: 446: 445: 442: 439: 436: 433: 430: 427: 423: 422: 419: 416: 413: 410: 407: 404: 400: 399: 392: 385: 378: 371: 364: 357: 346: 343: 330:chemical shift 289: 260:= 18.7 ppm/°C, 190:= 1.2 ppm/°C". 180:degree Celsius 140: 137: 75:. Since these 26: 24: 14: 13: 10: 9: 6: 4: 3: 2: 2003: 1992: 1989: 1987: 1984: 1982: 1979: 1977: 1974: 1972: 1969: 1967: 1964: 1962: 1959: 1957: 1954: 1952: 1949: 1948: 1946: 1936: 1933: 1930: 1927: 1924: 1919: 1915: 1914: 1910: 1898: 1891: 1884: 1881: 1877: 1876: 1870: 1867:According to 1864: 1861: 1856: 1852: 1846: 1843: 1838: 1832: 1827: 1826: 1817: 1814: 1809: 1805: 1799: 1796: 1791: 1787: 1783: 1779: 1775: 1771: 1764: 1757: 1754: 1750: 1749: 1742: 1739: 1727: 1723: 1716: 1714: 1710: 1706: 1702: 1697: 1694: 1680: 1676: 1672: 1666: 1663: 1658: 1654: 1648: 1645: 1640: 1636: 1630: 1628: 1626: 1622: 1615: 1611: 1608: 1605: 1602: 1599: 1596: 1593: 1590: 1587: 1584: 1582: 1579: 1576: 1573: 1572: 1568: 1559: 1555: 1547: 1543: 1521: 1517: 1511: 1508: 1497: 1494: 1487: 1485: 1483: 1479: 1475: 1467: 1465: 1463: 1459: 1455: 1451: 1447: 1434: 1426: 1414: 1398: 1393: 1376: 1369: 1361: 1349: 1342: 1334: 1327:9 μg/kg 1322: 1315: 1307: 1295: 1283: 1275: 1268: 1260: 1248: 1241: 1233: 1221: 1204: 1187: 1180: 1172: 1160: 1153: 1145: 1138:2 ng/kg 1133: 1126: 1118: 1111:2 μg/kg 1106: 1094:2 mg/kg 1089: 1082: 1074: 1066: 1058: 1051: 1043: 1035: 1027: 1014: 1006: 999: 984: 977: 966: 958: 946: 942: 935: 930: 922: 915: 908: 903: 900: 899: 893: 890: 880: 878: 876: 872: 868: 864: 860: 856: 852: 846: 843: 840: 836: 832: 831:mole fraction 828: 827:mass fraction 820: 818: 812: 810: 808: 804: 800: 799:named numbers 794: 786: 784: 782: 778: 774: 770: 766: 762: 758: 755:Although the 750: 745: 741: 737: 736: 733:One part per 731: 730: 729: 724: 720: 719: 716:One part per 714: 713: 712: 707: 703: 699: 698: 695:One part per 693: 692: 691: 686: 682: 678: 674: 670: 669: 666:One part per 664: 663: 662: 657: 653: 649: 645: 644:milli-percent 641: 637: 636: 631: 630: 627:One part per 625: 621: 617: 610: 606: 605: 602:One part per 600: 596: 592: 588: 584: 583: 580:One part per 578: 577: 576: 571: 567: 563: 562: 559:One part per 557: 556: 551: 544: 535: 532: 529: 526: 523: 520: 517: 516: 512: 509: 506: 503: 500: 497: 494: 493: 489: 486: 483: 480: 477: 474: 471: 470: 466: 463: 460: 457: 454: 451: 448: 447: 443: 440: 437: 434: 431: 428: 425: 424: 420: 417: 414: 411: 408: 405: 402: 401: 393: 386: 379: 372: 365: 358: 351: 350: 344: 342: 340: 336: 331: 327: 322: 320: 314: 310: 303: 299: 288: 281: 280:metering pump 277: 273: 269: 265: 259: 252: 248: 243: 240: 236: 232: 216: 212: 205: 203: 199: 195: 189: 181: 177: 173: 169: 165: 160: 158: 154: 150: 146: 138: 136: 134: 126: 122: 114: 110: 102: 98: 90: 86: 82: 78: 74: 73:mass fraction 70: 69:mole fraction 66: 62: 58: 54: 45: 41: 35: 34: 19: 1897:the original 1883: 1874: 1863: 1845: 1824: 1816: 1798: 1773: 1769: 1756: 1746: 1741: 1730:. Retrieved 1704: 1700: 1696: 1674: 1665: 1656: 1647: 1638: 1550:rather than 1510: 1496: 1471: 1462:coefficients 1453: 1449: 1443: 1432: 1424: 1381:1 μm/m 1367: 1359: 1354:1 nm/m 1340: 1332: 1313: 1305: 1266: 1258: 1239: 1231: 1178: 1170: 1151: 1143: 1124: 1116: 1080: 1072: 1049: 1041: 997: 975: 918:abbreviation 888: 884: 847: 844: 824: 816: 797:Because the 796: 754: 739: 732: 728: 722: 715: 711: 701: 694: 690: 672: 665: 661: 648:epidemiology 643: 639: 633: 626: 604:ten thousand 601: 586: 579: 575: 566:percent sign 558: 356:of ↓   323: 317:125 cm/ 244: 235:coefficients 214: 210: 206: 161: 142: 139:Applications 124: 120: 112: 108: 100: 96: 88: 84: 60: 50: 32: 1976:Measurement 1408:0.3 ppm/°C 735:quadrillion 620:basis point 194:uncertainty 172:micrometers 168:engineering 57:engineering 44:Fluorescein 1945:Categories 1836:0964458802 1732:2017-08-15 1703:. Part 0: 1616:References 1586:Percentage 1289:1 ppm/min 925:scientific 920:or symbol 685:metric ton 1598:Permyriad 1592:Per mille 1488:Footnotes 1430:0.35 ppb 1280:1 (μA/A)/ 1264:5.24 ppt 1237:5.24 ppb 1215:5.24 ppm 1192:5.2 μL/L 989:0.2 mV/V 927:notation 916:Parts-per 751:Criticism 609:permyriad 292:= 12 ppm, 242:parts"). 231:quotients 145:chemistry 77:fractions 1726:Archived 1569:See also 1552:18.7 (μ 1540:10.4 (μ 1198:5.2 ppm 1165:2 pg/kg 923:Value in 901:Measure 859:chemists 718:trillion 595:permille 591:trillion 582:thousand 249:of some 202:Accuracy 1981:Metrics 1851:"Units" 1790:7029702 1536:⁠ 1524:⁠ 1300:5 nΩ/Ω 803:billion 769:percent 706:century 697:billion 668:million 616:finance 561:hundred 490:0.0001 396:billion 389:million 382:100,000 328:(NMR), 321:, etc. 253:alloy, 239:percent 229:so the 164:physics 67:, e.g. 53:science 47:colour. 1937:(BIPM) 1931:(NIST) 1833:  1788:  1745:NIST: 1690:  1671:dioxin 1458:ratios 1399:of... 1387:1 ppm 1365:1 ppb 1338:9 ppb 1311:5 ppb 1176:2 ppq 1149:2 ppt 1122:2 ppb 1100:2 ppm 1078:2 ppt 1047:2 ppb 1021:2 ppm 936:of... 934:strain 906:units 839:CFC-11 761:French 677:mining 618:, the 530:10,000 513:0.001 498:10,000 418:0.0001 398:(ppb) 391:(ppm) 384:(pcm) 375:10,000 352:1 of → 307:125 μ 119:) and 59:, the 1900:(PDF) 1893:(PDF) 1786:S2CID 1766:(PDF) 1577:(IEC) 1560:)/°C. 909:Named 777:IUPAP 642:) or 533:1,000 501:1,000 475:1,000 441:0.001 415:0.001 368:mille 296:125 μ 251:brass 219:0.000 209:(2 n 176:meter 149:water 1831:ISBN 1639:BIPM 1548:)/°F 1067:V/V 1036:V/V 1015:V/V 995:2 ‱ 973:2 ‰ 967:V/V 683:per 681:gram 598:day. 518:ppb 495:ppm 472:pcm 464:0.01 438:0.01 412:0.01 377:(‱) 370:(‰) 363:(%) 361:cent 174:per 166:and 153:gram 55:and 1778:doi 1685:000 1683:146 1675:sub 1282:min 875:air 871:gas 833:or 740:ppq 723:ppt 702:ppb 673:ppm 640:pcm 587:not 504:100 487:0.1 478:100 467:10 461:0.1 452:100 444:10 435:0.1 421:10 409:0.1 394:per 387:per 380:per 373:per 366:per 359:per 354:= ⭨ 335:MHz 324:In 313:gal 309:gal 224:001 221:000 125:ppq 113:ppt 107:), 101:ppb 95:), 89:ppm 71:or 51:In 1947:: 1806:. 1784:. 1774:67 1772:. 1768:. 1724:. 1712:^ 1655:. 1637:. 1624:^ 1558:in 1554:in 1546:in 1542:in 1527:5 1484:. 1395:A 1063:2 1032:2 1011:2 963:2 941:cm 939:2 932:A 904:SI 892:. 829:, 632:, 536:1 527:10 524:10 521:10 507:10 481:10 455:10 449:‱ 429:10 426:‰ 403:% 339:Hz 311:/ 276:in 272:in 264:μm 227:), 213:/ 129:10 127:, 117:10 115:, 105:10 103:, 93:10 91:, 1839:. 1810:. 1792:. 1780:: 1751:. 1735:. 1659:. 1556:/ 1544:/ 1533:9 1530:/ 1454:m 1452:/ 1450:m 1433:! 1425:! 1368:! 1360:! 1341:! 1333:! 1314:! 1306:! 1267:! 1259:! 1240:! 1232:! 1179:! 1171:! 1152:! 1144:! 1125:! 1117:! 1081:! 1073:! 1065:p 1050:! 1042:! 1034:n 1013:μ 998:! 976:! 965:m 945:m 943:/ 889:! 738:( 721:( 708:. 700:( 671:( 638:( 510:1 484:1 458:1 432:1 406:1 319:m 315:, 304:, 302:L 300:/ 298:L 290:p 286:Q 274:/ 268:m 266:/ 257:α 215:m 211:m 187:α 184:" 123:( 111:( 99:( 87:( 36:. 20:)

Index

Parts-per-million
Parts per Billion

Fluorescein
science
engineering
dimensionless quantities
mole fraction
mass fraction
fractions
units of measurement
International System of Units
chemistry
water
gram
aqueous solutions
physics
engineering
micrometers
meter
degree Celsius
α
uncertainty
laser rangefinder
Accuracy
quotients
coefficients
percent
expansion coefficient
brass

Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.