A Rapid Method for Determining Diffusion Constants in Solution
A method has been rediscovered, and developed in theory and practice, for optical observation of the earliest stages of diffusion across an initially sharp boundary between a dilute solution and a solvent. It enables the diffusion constant of a monodisperse solute to be measured about fifty times as...
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Veröffentlicht in: | Proceedings of the Royal Society of London. Series A, Mathematical and physical sciences Mathematical and physical sciences, 1948-02, Vol.192 (1030), p.382-402 |
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container_title | Proceedings of the Royal Society of London. Series A, Mathematical and physical sciences |
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creator | Coulson, Charles Alfred Cox, J. T. Ogston, Alexander George Philpot, J. St L. |
description | A method has been rediscovered, and developed in theory and practice, for optical observation of the earliest stages of diffusion across an initially sharp boundary between a dilute solution and a solvent. It enables the diffusion constant of a monodisperse solute to be measured about fifty times as quickly as by other methods, at lower concentration and possibly with greater accuracy; it should therefore be particularly valuable for the study of high molecular substances. The method is based on the interference pattern which is formed when monochromatic light from a horizontal slit is focused after passing through a cell where diffusion is occurring. The pattern, a set of horizontal bands, contracts towards the optic axis as diffusion proceeds, at a rate from which the diffusion constant can be calculated. By counting the bands in the pattern the refractive increment of the solute can be determined. The sharp initial boundary is obtained by flowing the solution and solvent out through a common narrow horizontal slit. The construction, calibration, and use of the apparatus are described. |
doi_str_mv | 10.1098/rspa.1948.0015 |
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The pattern, a set of horizontal bands, contracts towards the optic axis as diffusion proceeds, at a rate from which the diffusion constant can be calculated. By counting the bands in the pattern the refractive increment of the solute can be determined. The sharp initial boundary is obtained by flowing the solution and solvent out through a common narrow horizontal slit. The construction, calibration, and use of the apparatus are described.</description><identifier>ISSN: 1364-5021</identifier><identifier>ISSN: 0080-4630</identifier><identifier>EISSN: 1471-2946</identifier><identifier>EISSN: 2053-9169</identifier><identifier>DOI: 10.1098/rspa.1948.0015</identifier><language>eng</language><publisher>London: The Royal Society</publisher><subject>Approximation ; Calibration ; Glass ; Light refraction ; Mathematical constants ; Optics ; Oscillators ; Pipettes ; Solutes ; Solvents</subject><ispartof>Proceedings of the Royal Society of London. 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T.</creatorcontrib><creatorcontrib>Ogston, Alexander George</creatorcontrib><creatorcontrib>Philpot, J. St L.</creatorcontrib><title>A Rapid Method for Determining Diffusion Constants in Solution</title><title>Proceedings of the Royal Society of London. Series A, Mathematical and physical sciences</title><addtitle>Proc. R. Soc. Lond. A</addtitle><addtitle>Proc. R. Soc. Lond. A</addtitle><description>A method has been rediscovered, and developed in theory and practice, for optical observation of the earliest stages of diffusion across an initially sharp boundary between a dilute solution and a solvent. It enables the diffusion constant of a monodisperse solute to be measured about fifty times as quickly as by other methods, at lower concentration and possibly with greater accuracy; it should therefore be particularly valuable for the study of high molecular substances. The method is based on the interference pattern which is formed when monochromatic light from a horizontal slit is focused after passing through a cell where diffusion is occurring. The pattern, a set of horizontal bands, contracts towards the optic axis as diffusion proceeds, at a rate from which the diffusion constant can be calculated. By counting the bands in the pattern the refractive increment of the solute can be determined. The sharp initial boundary is obtained by flowing the solution and solvent out through a common narrow horizontal slit. The construction, calibration, and use of the apparatus are described.</description><subject>Approximation</subject><subject>Calibration</subject><subject>Glass</subject><subject>Light refraction</subject><subject>Mathematical constants</subject><subject>Optics</subject><subject>Oscillators</subject><subject>Pipettes</subject><subject>Solutes</subject><subject>Solvents</subject><issn>1364-5021</issn><issn>0080-4630</issn><issn>1471-2946</issn><issn>2053-9169</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1948</creationdate><recordtype>article</recordtype><recordid>eNp9T01v0zAYjhBIjMGVA6f8gZTXsePYF1Dp-JJWQBsMicurNLFXl86ObAcovx4nQZMqxE7-eL6z7CmBBQEpnvvQNwsimVgAkOpedkJYTYpSMn4_3SlnRQUleZg9CmEHALIS9Un2YplfNL3p8rWKW9fl2vn8TEXlb4w19jo_M1oPwTibr5wNsbEx5Mbml24_xPT7OHugm31QT_6ep9mXN68_r94V5x_fvl8tz4uW1TwWZUVJQ5VM7WrOFW3LTnW67TQw4AwolLJjbJNQ1ahWaNgoKlknxUZAqzSnp9li9m29C8Erjb03N40_IAEc1-O4Hsf1OK5PAjoLvDukYq41Kh5w5wZv0_P_qnCX6uLy05JIKn4QWRqSaiMIStICVkn8bfrJbiQkyxJNCIPCiXYc82_qszl1F6Lzt8ukgAoSWMygCVH9ugUb_x15TesKrwTDq6-v1vzb-gPWif9y5m_N9fan8QqPtkzRrbNR2Ti1nPpRUaIe9nvsO50cyJ0O7tD70ByJ6R9gJMRx</recordid><startdate>19480218</startdate><enddate>19480218</enddate><creator>Coulson, Charles Alfred</creator><creator>Cox, J. T.</creator><creator>Ogston, Alexander George</creator><creator>Philpot, J. St L.</creator><general>The Royal Society</general><general>Cambridge University Press</general><scope>BSCLL</scope><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>19480218</creationdate><title>A Rapid Method for Determining Diffusion Constants in Solution</title><author>Coulson, Charles Alfred ; Cox, J. T. ; Ogston, Alexander George ; Philpot, J. 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Series A, Mathematical and physical sciences</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Coulson, Charles Alfred</au><au>Cox, J. T.</au><au>Ogston, Alexander George</au><au>Philpot, J. St L.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A Rapid Method for Determining Diffusion Constants in Solution</atitle><jtitle>Proceedings of the Royal Society of London. Series A, Mathematical and physical sciences</jtitle><stitle>Proc. R. Soc. Lond. A</stitle><addtitle>Proc. R. Soc. Lond. A</addtitle><date>1948-02-18</date><risdate>1948</risdate><volume>192</volume><issue>1030</issue><spage>382</spage><epage>402</epage><pages>382-402</pages><issn>1364-5021</issn><issn>0080-4630</issn><eissn>1471-2946</eissn><eissn>2053-9169</eissn><abstract>A method has been rediscovered, and developed in theory and practice, for optical observation of the earliest stages of diffusion across an initially sharp boundary between a dilute solution and a solvent. It enables the diffusion constant of a monodisperse solute to be measured about fifty times as quickly as by other methods, at lower concentration and possibly with greater accuracy; it should therefore be particularly valuable for the study of high molecular substances. The method is based on the interference pattern which is formed when monochromatic light from a horizontal slit is focused after passing through a cell where diffusion is occurring. The pattern, a set of horizontal bands, contracts towards the optic axis as diffusion proceeds, at a rate from which the diffusion constant can be calculated. By counting the bands in the pattern the refractive increment of the solute can be determined. The sharp initial boundary is obtained by flowing the solution and solvent out through a common narrow horizontal slit. The construction, calibration, and use of the apparatus are described.</abstract><cop>London</cop><pub>The Royal Society</pub><doi>10.1098/rspa.1948.0015</doi><tpages>21</tpages></addata></record> |
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language | eng |
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source | Jstor Complete Legacy; Alma/SFX Local Collection; JSTOR Mathematics & Statistics |
subjects | Approximation Calibration Glass Light refraction Mathematical constants Optics Oscillators Pipettes Solutes Solvents |
title | A Rapid Method for Determining Diffusion Constants in Solution |
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