{"title":"各向同性混合下一般AMX自旋体系的解析相干传递函数","authors":"Oliver Schedletzky, Steffen J. Glaser","doi":"10.1006/jmra.1996.0232","DOIUrl":null,"url":null,"abstract":"<div><p>Analytical coherence- and polarization-transfer functions are presented for spin systems consisting of three spins-<span><math><mtext>1</mtext><mtext>2</mtext></math></span> with arbitrary coupling constants under isotropic-mixing conditions. Based on these transfer functions, optimal durations for the mixing-time period can be determined for correlations of interest. The analytical expressions also make it possible to prove that isotropic-mixing polarization-transfer functions cannot become negative for three coupled spins-<span><math><mtext>1</mtext><mtext>2</mtext></math></span>.</p></div>","PeriodicalId":16165,"journal":{"name":"Journal of Magnetic Resonance, Series A","volume":"123 2","pages":"Pages 174-180"},"PeriodicalIF":0.0000,"publicationDate":"1996-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1006/jmra.1996.0232","citationCount":"24","resultStr":"{\"title\":\"Analytical Coherence-Transfer Functions for the General AMX Spin System under Isotropic Mixing\",\"authors\":\"Oliver Schedletzky, Steffen J. Glaser\",\"doi\":\"10.1006/jmra.1996.0232\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>Analytical coherence- and polarization-transfer functions are presented for spin systems consisting of three spins-<span><math><mtext>1</mtext><mtext>2</mtext></math></span> with arbitrary coupling constants under isotropic-mixing conditions. Based on these transfer functions, optimal durations for the mixing-time period can be determined for correlations of interest. The analytical expressions also make it possible to prove that isotropic-mixing polarization-transfer functions cannot become negative for three coupled spins-<span><math><mtext>1</mtext><mtext>2</mtext></math></span>.</p></div>\",\"PeriodicalId\":16165,\"journal\":{\"name\":\"Journal of Magnetic Resonance, Series A\",\"volume\":\"123 2\",\"pages\":\"Pages 174-180\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1996-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1006/jmra.1996.0232\",\"citationCount\":\"24\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Magnetic Resonance, Series A\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S1064185896902326\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Magnetic Resonance, Series A","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S1064185896902326","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Analytical Coherence-Transfer Functions for the General AMX Spin System under Isotropic Mixing
Analytical coherence- and polarization-transfer functions are presented for spin systems consisting of three spins- with arbitrary coupling constants under isotropic-mixing conditions. Based on these transfer functions, optimal durations for the mixing-time period can be determined for correlations of interest. The analytical expressions also make it possible to prove that isotropic-mixing polarization-transfer functions cannot become negative for three coupled spins-.
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