Uncertainty in analyte mass for samples containing small numbers of particles
A sampling equation was derived that relates the standard deviation in analyte mass to the number of particles in the sample, the fractions of the different types of particles in the mixture and the masses and analyte concentrations of the individual particles. The equation, which is applicable to s...
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| Veröffentlicht in: | Analyst (London) 2001-01, Vol.126 (6), p.947-952 |
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| container_title | Analyst (London) |
| container_volume | 126 |
| creator | ZHI GAO DUKE, M. John M KRATOCHVIL, Byron |
| description | A sampling equation was derived that relates the standard deviation in analyte mass to the number of particles in the sample, the fractions of the different types of particles in the mixture and the masses and analyte concentrations of the individual particles. The equation, which is applicable to samples containing any number of particles, was verified by sampling and analysis of two cereal grain mixtures for manganese, potassium, chlorine and magnesium, and by Monte Carlo computer simulation. Comparison of the sampling precision of analyte mass with the analytical measurement precision was also studied, and it was shown that use of the equation allows the calculation of the minimum number of particles required to hold the sampling relative standard deviation to that of the analytical measurement. |
| doi_str_mv | 10.1039/b008594o |
| format | Article |
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Comparison of the sampling precision of analyte mass with the analytical measurement precision was also studied, and it was shown that use of the equation allows the calculation of the minimum number of particles required to hold the sampling relative standard deviation to that of the analytical measurement.</description><identifier>ISSN: 0003-2654</identifier><identifier>EISSN: 1364-5528</identifier><identifier>DOI: 10.1039/b008594o</identifier><identifier>PMID: 11445968</identifier><identifier>CODEN: ANALAO</identifier><language>eng</language><publisher>Cambridge: Royal Society of Chemistry</publisher><subject>Analytical chemistry ; Chemistry ; Exact sciences and technology ; General, instrumentation ; Measurement and error theory ; Metrology ; Metrology, measurements and laboratory procedures ; Physics</subject><ispartof>Analyst (London), 2001-01, Vol.126 (6), p.947-952</ispartof><rights>2001 INIST-CNRS</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784,2831,27924,27925</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=993225$$DView record in Pascal Francis$$Hfree_for_read</backlink><backlink>$$Uhttps://www.ncbi.nlm.nih.gov/pubmed/11445968$$D View this record in MEDLINE/PubMed$$Hfree_for_read</backlink></links><search><creatorcontrib>ZHI GAO</creatorcontrib><creatorcontrib>DUKE, M. 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Comparison of the sampling precision of analyte mass with the analytical measurement precision was also studied, and it was shown that use of the equation allows the calculation of the minimum number of particles required to hold the sampling relative standard deviation to that of the analytical measurement.</description><subject>Analytical chemistry</subject><subject>Chemistry</subject><subject>Exact sciences and technology</subject><subject>General, instrumentation</subject><subject>Measurement and error theory</subject><subject>Metrology</subject><subject>Metrology, measurements and laboratory procedures</subject><subject>Physics</subject><issn>0003-2654</issn><issn>1364-5528</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2001</creationdate><recordtype>article</recordtype><recordid>eNpF0EtLxDAUhuEgijOOgr9AAoK4qebk0iZLGbzBiBtnXZI0kUqb1qRdzL-3w1RdHQ48fIsXoUsgd0CYujeESKF4d4SWwHKeCUHlMVoSQlhGc8EX6Cylr-kFIsgpWgBwLlQul-htG6yLg67DsMN1wDroZjc43OqUsO8iTrrtG5ew7cJe1eETp1Y3DQ5ja1xMuPO413Go7aTO0YnXTXIX812h7dPjx_ol27w_v64fNpmlUg4Zd8Tm3BhpbSEoN1ZXUIEgwK13hWRKSlUYArIwXIETRnvIvQerGPdQebZCN4fdPnbfo0tD2dbJuqbRwXVjKgsgFKiECd4eoI1dStH5so91q-OuBFLu05W_6SZ6NW-OpnXVP5xbTeB6BjpZ3fiog63Tn1OKUSrYDyhsdiA</recordid><startdate>20010101</startdate><enddate>20010101</enddate><creator>ZHI GAO</creator><creator>DUKE, M. 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John M</au><au>KRATOCHVIL, Byron</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Uncertainty in analyte mass for samples containing small numbers of particles</atitle><jtitle>Analyst (London)</jtitle><addtitle>Analyst</addtitle><date>2001-01-01</date><risdate>2001</risdate><volume>126</volume><issue>6</issue><spage>947</spage><epage>952</epage><pages>947-952</pages><issn>0003-2654</issn><eissn>1364-5528</eissn><coden>ANALAO</coden><abstract>A sampling equation was derived that relates the standard deviation in analyte mass to the number of particles in the sample, the fractions of the different types of particles in the mixture and the masses and analyte concentrations of the individual particles. The equation, which is applicable to samples containing any number of particles, was verified by sampling and analysis of two cereal grain mixtures for manganese, potassium, chlorine and magnesium, and by Monte Carlo computer simulation. Comparison of the sampling precision of analyte mass with the analytical measurement precision was also studied, and it was shown that use of the equation allows the calculation of the minimum number of particles required to hold the sampling relative standard deviation to that of the analytical measurement.</abstract><cop>Cambridge</cop><pub>Royal Society of Chemistry</pub><pmid>11445968</pmid><doi>10.1039/b008594o</doi><tpages>6</tpages></addata></record> |
| fulltext | fulltext |
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| ispartof | Analyst (London), 2001-01, Vol.126 (6), p.947-952 |
| issn | 0003-2654 1364-5528 |
| language | eng |
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| source | Royal Society Of Chemistry Journals; Royal Society of Chemistry Journals Archive (1841-2007); Alma/SFX Local Collection |
| subjects | Analytical chemistry Chemistry Exact sciences and technology General, instrumentation Measurement and error theory Metrology Metrology, measurements and laboratory procedures Physics |
| title | Uncertainty in analyte mass for samples containing small numbers of particles |
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