Coupled diffusion in aqueous citric acid + calcium citrate solutions
•Binary mutual diffusion coefficients of aqueous citric acid and aqueous calcium citrate.•Ternary mutual diffusion coefficients of aqueous citric acid plus calcium citrate solutions.•Coupled diffusion as indicated by cross-diffusion coefficients. Taylor dispersion is used to measure ternary mutual d...
Saved in:
| Published in: | The Journal of chemical thermodynamics Vol. 131; pp. 314 - 321 |
|---|---|
| Main Authors: | , , , , |
| Format: | Journal Article |
| Language: | English |
| Published: |
Elsevier Ltd
01-04-2019
|
| Subjects: | |
| Online Access: | Get full text |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Abstract | •Binary mutual diffusion coefficients of aqueous citric acid and aqueous calcium citrate.•Ternary mutual diffusion coefficients of aqueous citric acid plus calcium citrate solutions.•Coupled diffusion as indicated by cross-diffusion coefficients.
Taylor dispersion is used to measure ternary mutual diffusion in aqueous citric acid(1) + calcium citrate(2) solutions at 25 °C. Main diffusion coefficients D11 and D22 reach values 25% to 60% larger than the respective binary diffusion coefficients of aqueous citric acid and calcium citrate. Of additional interest, cross-coefficient D12 is large and negative, indicating that each mole of diffusing calcium citrate counter-transports up to two moles of citric acid. Nernst-Planck (NP) equations are used to relate the fluxes of the citric acid and calcium citrate components to the fluxes of the solution species: molecular citric acid (H3Cit) and its dissociation products (H+, H2Cit−, HCit2− and Cit3− ions), Ca2+ ions, and calcium complexes produced by ion association (CaCit−, CaHCit, CaH2Cit+). The NP analysis identifies key roles in the coupled diffusion of citric acid and calcium citrate played by ion association and by ion migration in the electric field generated by hydrogen-ion concentration gradients. |
|---|---|
| AbstractList | •Binary mutual diffusion coefficients of aqueous citric acid and aqueous calcium citrate.•Ternary mutual diffusion coefficients of aqueous citric acid plus calcium citrate solutions.•Coupled diffusion as indicated by cross-diffusion coefficients.
Taylor dispersion is used to measure ternary mutual diffusion in aqueous citric acid(1) + calcium citrate(2) solutions at 25 °C. Main diffusion coefficients D11 and D22 reach values 25% to 60% larger than the respective binary diffusion coefficients of aqueous citric acid and calcium citrate. Of additional interest, cross-coefficient D12 is large and negative, indicating that each mole of diffusing calcium citrate counter-transports up to two moles of citric acid. Nernst-Planck (NP) equations are used to relate the fluxes of the citric acid and calcium citrate components to the fluxes of the solution species: molecular citric acid (H3Cit) and its dissociation products (H+, H2Cit−, HCit2− and Cit3− ions), Ca2+ ions, and calcium complexes produced by ion association (CaCit−, CaHCit, CaH2Cit+). The NP analysis identifies key roles in the coupled diffusion of citric acid and calcium citrate played by ion association and by ion migration in the electric field generated by hydrogen-ion concentration gradients. |
| Author | Ribeiro, Ana C.F. Verissimo, Luis M.P. Leaist, Derek G. Esteso, Miguel A. Rodrigo, M. Melia |
| Author_xml | – sequence: 1 givenname: M. Melia surname: Rodrigo fullname: Rodrigo, M. Melia organization: U.D. Química Física, Universidad de Alcalá, 28871 Alcalá de Henares, Madrid, Spain – sequence: 2 givenname: Ana C.F. surname: Ribeiro fullname: Ribeiro, Ana C.F. email: anacfrib@ci.uc.pt organization: Centro de Química, Department of Chemistry, University of Coimbra, 3004-535 Coimbra, Portugal – sequence: 3 givenname: Luis M.P. surname: Verissimo fullname: Verissimo, Luis M.P. organization: U.D. Química Física, Universidad de Alcalá, 28871 Alcalá de Henares, Madrid, Spain – sequence: 4 givenname: Miguel A. surname: Esteso fullname: Esteso, Miguel A. organization: U.D. Química Física, Universidad de Alcalá, 28871 Alcalá de Henares, Madrid, Spain – sequence: 5 givenname: Derek G. surname: Leaist fullname: Leaist, Derek G. organization: Department of Chemistry, St. Francis Xavier University, Antigonish, Nova Scotia B2G 2W5, Canada |
| BookMark | eNp9kMFKw0AQhhepYFt9AG-5S-JMkl27eJKiVih40fMymd2FDWlSs4ngzTfynXwSU-vZwzCHme_n51uIWdu1TohLhAwB1XWd1TxkOeAqQ8wAihMxR9AqLVSuZmIOkGOqFZZnYhFjDQC60DAXm3U37htnExu8H2Po2iS0Cb2NrhtjwmHoAyfEwX5_fl1Nw9RwGHe_FxpcErtmHCYqnotTT010F397KV4f7l_Wm3T7_Pi0vtumnJd6SCWwJ81qBQRMXntFUBY3lixU7IuqAikLyarUK2JZIZaV9QQkJeQVlVgsBR5zue9i7J03-z7sqP8wCOagwtRmUmEOKgyimVRMzO2RcVOx9-B6Ezm4lp0NvZt-bRf-oX8A8ntsAg |
| CitedBy_id | crossref_primary_10_1002_cjce_24693 crossref_primary_10_1016_j_jclepro_2022_135581 crossref_primary_10_1016_j_foodres_2020_109867 crossref_primary_10_1016_j_foodchem_2021_130674 crossref_primary_10_1016_j_foodchem_2019_04_065 crossref_primary_10_1016_j_jece_2024_112825 crossref_primary_10_1016_j_molliq_2024_123961 crossref_primary_10_1016_j_idairyj_2022_105561 crossref_primary_10_1016_j_fluid_2024_114056 crossref_primary_10_1016_j_molliq_2020_113704 crossref_primary_10_1016_j_desal_2023_116686 crossref_primary_10_1016_j_jct_2022_106996 crossref_primary_10_1016_j_jct_2023_107208 crossref_primary_10_1007_s00217_023_04380_0 |
| Cites_doi | 10.1139/v91-229 10.1039/jr9530004134 10.1039/TF9575300642 10.1021/je950222q 10.1515/zna-1991-1-222 10.1007/s11157-004-3849-1 10.1039/FT9938902775 10.1021/je200808q 10.1021/j100638a009 10.1016/S0272-6386(00)70203-4 10.1016/j.desal.2014.10.014 10.1016/j.idairyj.2016.02.033 10.1021/ja01172a039 10.1007/BF00517126 10.1039/f19888402431 |
| ContentType | Journal Article |
| Copyright | 2018 Elsevier Ltd |
| Copyright_xml | – notice: 2018 Elsevier Ltd |
| DBID | AAYXX CITATION |
| DOI | 10.1016/j.jct.2018.11.003 |
| DatabaseName | CrossRef |
| DatabaseTitle | CrossRef |
| DatabaseTitleList | |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Chemistry |
| EISSN | 1096-3626 |
| EndPage | 321 |
| ExternalDocumentID | 10_1016_j_jct_2018_11_003 S0021961418308516 |
| GroupedDBID | --K --M -DZ -~X .~1 0R~ 123 1B1 1RT 1~. 1~5 29K 4.4 457 4G. 5VS 6TJ 7-5 71M 8P~ 8WZ 9JN 9M8 A6W AACTN AAEDT AAEDW AAEPC AAHCO AAIAV AAIKJ AAKOC AALRI AAOAW AAQFI AAQXK AARJD AARLI AAXUO ABEFU ABFNM ABJNI ABMAC ABNUV ABXDB ABXRA ABYKQ ACDAQ ACGFS ACNCT ACNNM ACRLP ADBBV ADECG ADEWK ADEZE ADFGL ADMUD AEBSH AEKER AENEX AFKWA AFTJW AFZHZ AGHFR AGUBO AGYEJ AHHHB AHIDL AHPOS AIEXJ AIKHN AITUG AJBFU AJOXV AJQLL AJSZI AKURH ALMA_UNASSIGNED_HOLDINGS AMFUW AMRAJ ASPBG AVWKF AXJTR AZFZN BELTK BKOJK BLXMC CAG COF CS3 D-I DM4 DU5 EBS EFBJH EFLBG EJD ENUVR EO8 EO9 EP2 EP3 F5P FDB FEDTE FGOYB FIRID FLBIZ FNPLU FYGXN G-Q GBLVA HMU HVGLF HZ~ H~9 IHE J1W JARJE KOM LG5 M35 M41 MAGPM MO0 N9A NCXOZ O-L O9- OAUVE OHT OZT P-8 P-9 P2P PC. Q38 R2- RIG RNS ROL RPZ SCB SDF SDG SDP SES SEW SPC SPCBC SSG SSK SSR SSZ T5K UPT VOH WH7 WUQ XJT XOL XPP YQT ZCG ZU3 ~02 ~G- AAXKI AAYXX AFJKZ AKRWK CITATION |
| ID | FETCH-LOGICAL-c249t-50cfa9c680a0caf9f6a0437dad0bcf3bb05535c6498ac5b114bdfa0a5502ba413 |
| ISSN | 0021-9614 |
| IngestDate | Thu Sep 26 17:01:29 EDT 2024 Fri Feb 23 02:22:45 EST 2024 |
| IsPeerReviewed | true |
| IsScholarly | true |
| Keywords | Fick equations Nernst-Planck equations Coupled diffusion Calcium citrate Citric acid Ion association |
| Language | English |
| LinkModel | OpenURL |
| MergedId | FETCHMERGED-LOGICAL-c249t-50cfa9c680a0caf9f6a0437dad0bcf3bb05535c6498ac5b114bdfa0a5502ba413 |
| PageCount | 8 |
| ParticipantIDs | crossref_primary_10_1016_j_jct_2018_11_003 elsevier_sciencedirect_doi_10_1016_j_jct_2018_11_003 |
| PublicationCentury | 2000 |
| PublicationDate | 2019-04-01 |
| PublicationDateYYYYMMDD | 2019-04-01 |
| PublicationDate_xml | – month: 04 year: 2019 text: 2019-04-01 day: 01 |
| PublicationDecade | 2010 |
| PublicationTitle | The Journal of chemical thermodynamics |
| PublicationYear | 2019 |
| Publisher | Elsevier Ltd |
| Publisher_xml | – name: Elsevier Ltd |
| References | Apelblat (b0030) 2014 Deng, Leaist (b0065) 1991; 69 Davies, Hoyle (b0010) 1955 Benezeth, Palmer, Wesolowski (b0085) 1997; 26 Alizadeh, Nieto de Castro, Wakeham (b0050) 1980; 1 Soccol, Vandengerghe, Rodrigues, Pandey (b0025) 2006; 44 Tyrrell, Harris (b0055) 1984 Costello, Franklin, Reynolds, Chellaiah (b0040) 2013; 4 Ahmad, Callan, Cole, Blagg (b0045) 2000; 35 Gosting, Akeley (b0110) 1952; 74 Hao, Leaist (b0075) 1996; 41 Apelblat, Barthel (b0090) 1991; 46a Leaist, Hao (b0100) 1993; 89 Pitzer, Mayorga (b0105) 1973; 77 Muller, Stokes (b0120) 1957; 53 MacAdam, Parson (b0015) 2004; 3 Chaussemier, Pourmohtasham, Gelus, Pecoul, Perrot, Ledion, Cheap-Charpentier, Horner (b0020) 2015; 356 Newman (b0095) 1973 Davies, Hoyle (b0005) 1953 Secuinu, Maitland, Trusler, Wakeham (b0070) 2011; 56 Robinson, Stokes (b0115) 1959 Price (b0060) 1988; 1 Bates, Pinching (b0080) 1949; 71 Vavrusova, Skibsted (b0035) 2016; 57 Chaussemier (10.1016/j.jct.2018.11.003_b0020) 2015; 356 Ahmad (10.1016/j.jct.2018.11.003_b0045) 2000; 35 Deng (10.1016/j.jct.2018.11.003_b0065) 1991; 69 Muller (10.1016/j.jct.2018.11.003_b0120) 1957; 53 Apelblat (10.1016/j.jct.2018.11.003_b0090) 1991; 46a Apelblat (10.1016/j.jct.2018.11.003_b0030) 2014 Costello (10.1016/j.jct.2018.11.003_b0040) 2013; 4 Benezeth (10.1016/j.jct.2018.11.003_b0085) 1997; 26 Newman (10.1016/j.jct.2018.11.003_b0095) 1973 Price (10.1016/j.jct.2018.11.003_b0060) 1988; 1 Davies (10.1016/j.jct.2018.11.003_b0005) 1953 Davies (10.1016/j.jct.2018.11.003_b0010) 1955 Hao (10.1016/j.jct.2018.11.003_b0075) 1996; 41 Pitzer (10.1016/j.jct.2018.11.003_b0105) 1973; 77 Vavrusova (10.1016/j.jct.2018.11.003_b0035) 2016; 57 Secuinu (10.1016/j.jct.2018.11.003_b0070) 2011; 56 Alizadeh (10.1016/j.jct.2018.11.003_b0050) 1980; 1 Gosting (10.1016/j.jct.2018.11.003_b0110) 1952; 74 Leaist (10.1016/j.jct.2018.11.003_b0100) 1993; 89 Tyrrell (10.1016/j.jct.2018.11.003_b0055) 1984 Robinson (10.1016/j.jct.2018.11.003_b0115) 1959 Bates (10.1016/j.jct.2018.11.003_b0080) 1949; 71 MacAdam (10.1016/j.jct.2018.11.003_b0015) 2004; 3 Soccol (10.1016/j.jct.2018.11.003_b0025) 2006; 44 |
| References_xml | – start-page: 4134 year: 1953 end-page: 4136 ident: b0005 publication-title: J. Chem. Soc. contributor: fullname: Hoyle – volume: 3 start-page: 159 year: 2004 end-page: 169 ident: b0015 publication-title: Rev. Environ. Sci. Biotechnol. contributor: fullname: Parson – year: 1984 ident: b0055 article-title: Diffusion in Liquids contributor: fullname: Harris – volume: 74 start-page: 2058 year: 1952 end-page: 2060 ident: b0110 publication-title: J. Phys. Chem. contributor: fullname: Akeley – volume: 1 start-page: 243 year: 1980 end-page: 284 ident: b0050 publication-title: Int. J. Thermophys. contributor: fullname: Wakeham – volume: 71 start-page: 1274 year: 1949 end-page: 1283 ident: b0080 publication-title: J. Am. Chem. Soc. contributor: fullname: Pinching – volume: 1 start-page: 2431 year: 1988 end-page: 2439 ident: b0060 publication-title: J. Chem. Soc., Faraday Trans. contributor: fullname: Price – volume: 26 start-page: 63 year: 1997 end-page: 84 ident: b0085 publication-title: J. Solution Chem. contributor: fullname: Wesolowski – year: 1959 ident: b0115 article-title: Electrolyte Solutions contributor: fullname: Stokes – volume: 356 start-page: 47 year: 2015 end-page: 55 ident: b0020 publication-title: Desalination. contributor: fullname: Horner – volume: 46a start-page: 131 year: 1991 end-page: 140 ident: b0090 publication-title: Z. Naturforsch. contributor: fullname: Barthel – year: 1973 ident: b0095 article-title: Electrochemical Systems contributor: fullname: Newman – start-page: 1038 year: 1955 end-page: 1039 ident: b0010 publication-title: J. Chem. Soc. contributor: fullname: Hoyle – volume: 77 start-page: 2300 year: 1973 end-page: 2308 ident: b0105 publication-title: J. Phys. Chem. contributor: fullname: Mayorga – volume: 57 start-page: 20 year: 2016 end-page: 28 ident: b0035 publication-title: Int. Dairy J. contributor: fullname: Skibsted – volume: 35 start-page: 493 year: 2000 end-page: 499 ident: b0045 publication-title: Am. J. Kidney Disease. contributor: fullname: Blagg – volume: 53 start-page: 642 year: 1957 end-page: 645 ident: b0120 publication-title: Trans. Faraday Soc. contributor: fullname: Stokes – volume: 44 start-page: 141 year: 2006 end-page: 149 ident: b0025 publication-title: Food Technol. Biotechnol. contributor: fullname: Pandey – volume: 69 start-page: 1548 year: 1991 end-page: 1553 ident: b0065 publication-title: Can J. Chem. contributor: fullname: Leaist – volume: 41 start-page: 210 year: 1996 end-page: 213 ident: b0075 publication-title: J. Chem. Eng. Data contributor: fullname: Leaist – volume: 4 year: 2013 ident: b0040 publication-title: Open Bone J. contributor: fullname: Chellaiah – year: 2014 ident: b0030 article-title: Citric Acid contributor: fullname: Apelblat – volume: 56 start-page: 4840 year: 2011 end-page: 4848 ident: b0070 publication-title: J. Chem. Eng. Data contributor: fullname: Wakeham – volume: 89 start-page: 2775 year: 1993 end-page: 2782 ident: b0100 publication-title: J. Chem. Soc., Faraday Trans. contributor: fullname: Hao – year: 2014 ident: 10.1016/j.jct.2018.11.003_b0030 contributor: fullname: Apelblat – volume: 26 start-page: 63 year: 1997 ident: 10.1016/j.jct.2018.11.003_b0085 publication-title: J. Solution Chem. contributor: fullname: Benezeth – volume: 74 start-page: 2058 year: 1952 ident: 10.1016/j.jct.2018.11.003_b0110 publication-title: J. Phys. Chem. contributor: fullname: Gosting – volume: 69 start-page: 1548 year: 1991 ident: 10.1016/j.jct.2018.11.003_b0065 publication-title: Can J. Chem. doi: 10.1139/v91-229 contributor: fullname: Deng – start-page: 4134 year: 1953 ident: 10.1016/j.jct.2018.11.003_b0005 publication-title: J. Chem. Soc. doi: 10.1039/jr9530004134 contributor: fullname: Davies – volume: 53 start-page: 642 year: 1957 ident: 10.1016/j.jct.2018.11.003_b0120 publication-title: Trans. Faraday Soc. doi: 10.1039/TF9575300642 contributor: fullname: Muller – volume: 4 year: 2013 ident: 10.1016/j.jct.2018.11.003_b0040 publication-title: Open Bone J. contributor: fullname: Costello – volume: 41 start-page: 210 year: 1996 ident: 10.1016/j.jct.2018.11.003_b0075 publication-title: J. Chem. Eng. Data doi: 10.1021/je950222q contributor: fullname: Hao – start-page: 1038 year: 1955 ident: 10.1016/j.jct.2018.11.003_b0010 publication-title: J. Chem. Soc. contributor: fullname: Davies – volume: 46a start-page: 131 year: 1991 ident: 10.1016/j.jct.2018.11.003_b0090 publication-title: Z. Naturforsch. doi: 10.1515/zna-1991-1-222 contributor: fullname: Apelblat – year: 1973 ident: 10.1016/j.jct.2018.11.003_b0095 contributor: fullname: Newman – volume: 3 start-page: 159 year: 2004 ident: 10.1016/j.jct.2018.11.003_b0015 publication-title: Rev. Environ. Sci. Biotechnol. doi: 10.1007/s11157-004-3849-1 contributor: fullname: MacAdam – volume: 89 start-page: 2775 year: 1993 ident: 10.1016/j.jct.2018.11.003_b0100 publication-title: J. Chem. Soc., Faraday Trans. doi: 10.1039/FT9938902775 contributor: fullname: Leaist – year: 1959 ident: 10.1016/j.jct.2018.11.003_b0115 contributor: fullname: Robinson – volume: 56 start-page: 4840 year: 2011 ident: 10.1016/j.jct.2018.11.003_b0070 publication-title: J. Chem. Eng. Data doi: 10.1021/je200808q contributor: fullname: Secuinu – volume: 77 start-page: 2300 year: 1973 ident: 10.1016/j.jct.2018.11.003_b0105 publication-title: J. Phys. Chem. doi: 10.1021/j100638a009 contributor: fullname: Pitzer – volume: 35 start-page: 493 year: 2000 ident: 10.1016/j.jct.2018.11.003_b0045 publication-title: Am. J. Kidney Disease. doi: 10.1016/S0272-6386(00)70203-4 contributor: fullname: Ahmad – volume: 356 start-page: 47 year: 2015 ident: 10.1016/j.jct.2018.11.003_b0020 publication-title: Desalination. doi: 10.1016/j.desal.2014.10.014 contributor: fullname: Chaussemier – volume: 57 start-page: 20 year: 2016 ident: 10.1016/j.jct.2018.11.003_b0035 publication-title: Int. Dairy J. doi: 10.1016/j.idairyj.2016.02.033 contributor: fullname: Vavrusova – volume: 71 start-page: 1274 year: 1949 ident: 10.1016/j.jct.2018.11.003_b0080 publication-title: J. Am. Chem. Soc. doi: 10.1021/ja01172a039 contributor: fullname: Bates – volume: 1 start-page: 243 year: 1980 ident: 10.1016/j.jct.2018.11.003_b0050 publication-title: Int. J. Thermophys. doi: 10.1007/BF00517126 contributor: fullname: Alizadeh – volume: 1 start-page: 2431 year: 1988 ident: 10.1016/j.jct.2018.11.003_b0060 publication-title: J. Chem. Soc., Faraday Trans. doi: 10.1039/f19888402431 contributor: fullname: Price – year: 1984 ident: 10.1016/j.jct.2018.11.003_b0055 contributor: fullname: Tyrrell – volume: 44 start-page: 141 year: 2006 ident: 10.1016/j.jct.2018.11.003_b0025 publication-title: Food Technol. Biotechnol. contributor: fullname: Soccol |
| SSID | ssj0009390 |
| Score | 2.2977343 |
| Snippet | •Binary mutual diffusion coefficients of aqueous citric acid and aqueous calcium citrate.•Ternary mutual diffusion coefficients of aqueous citric acid plus... |
| SourceID | crossref elsevier |
| SourceType | Aggregation Database Publisher |
| StartPage | 314 |
| SubjectTerms | Calcium citrate Citric acid Coupled diffusion Fick equations Ion association Nernst-Planck equations |
| Title | Coupled diffusion in aqueous citric acid + calcium citrate solutions |
| URI | https://dx.doi.org/10.1016/j.jct.2018.11.003 |
| Volume | 131 |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| link | http://sdu.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwtV1bb9MwFLa67gFeEAwQGwz5YbwQJUqaS5PHrqTqkIYQDLS3yHbiydWWTsvyvn-0_7RfsnNiOyk3aSDx0Chx6tTy-XpuORdCDrJEcpkyAK-QoQv2l3QzwZnLp2ksJUi8WKBPd_l1-uk0_ZBH-WhkO1QNY_-V0jAGtMbM2b-gdv9QGIBzoDkcgepwfBDd5-v28hy0SOx80jYmkpEB98dYV6GwIL_DBCxLRznMFu8mh_05EEyo9qL7HiihTr_UTR12yCbr9FhhSw6gKnmxLnWL-yGEfl1eqbPOIXvsOcfVueoFwRfFK2XybGrmzL2FZ299xwrSDeCo8xu0qoHJn_u7OUCz0Y9UZ20FIPM2vRdBthH00rnUbFrNEMOkUwwCN0t0dqlXac4MtpaLtXN-YN1GgmjmG9oJ-kpnXv8iIrS3YuWtBIbSBqmHRVz9cJCHfZQivsgOcBnA9lAzTbbI9gT4WTwm27Oj_PTjUN051M48u277-rwLJPzph36vAG0oNSdPyRNDRTrTMHpGRlW9Qx7NbRPA52Rp4ER7OFFVUwMnquFEEU53N7cOfAyAqAEQ7QH0gnxb5CfzpWuab7gCLPJrN_aFZJlIUp_5gslMJgzLYJWs9Dn8rTn34ziMRRJlKRMxB7Oal5L5DCzeCWegGr0k43pdV68IzSSI45JPhET7OJQ8kJzJaIo1kcsqCnbJe7sjxaWusVLY4MNVAdtX4PaBrYqFbHdJZPesMEqiVv4KIPCfp-3927TX5PGA2jdkfH3VVvtkqynbtwYD90JqiLY |
| link.rule.ids | 315,782,786,27935,27936 |
| linkProvider | Elsevier |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Coupled+diffusion+in+aqueous+citric+acid%E2%80%AF%2B%E2%80%AFcalcium+citrate+solutions&rft.jtitle=The+Journal+of+chemical+thermodynamics&rft.au=Rodrigo%2C+M.+Melia&rft.au=Ribeiro%2C+Ana+C.F.&rft.au=Verissimo%2C+Luis+M.P.&rft.au=Esteso%2C+Miguel+A.&rft.date=2019-04-01&rft.pub=Elsevier+Ltd&rft.issn=0021-9614&rft.eissn=1096-3626&rft.volume=131&rft.spage=314&rft.epage=321&rft_id=info:doi/10.1016%2Fj.jct.2018.11.003&rft.externalDocID=S0021961418308516 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0021-9614&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0021-9614&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0021-9614&client=summon |