Abstract
Alkali metal ions play very important roles in all biological systems, some of them are essential for life. Their concentration depends on several physiological factors and is very variable. For example, sodium concentrations in human fluids vary from quite low (e.g., 8.2 mmol dm−3 in mature maternal milk) to high values (0.14 mol dm−3 in blood plasma). While many data on the concentration of Na+ and K+ in various fluids are available, the information on other alkali metal cations is scarce. Since many vital functions depend on the network of interactions occurring in various biofluids, this chapter reviews their complex formation with phosphates, nucleotides, amino acids, and related ligands of biological relevance. Literature data on this topic are quite rare if compared to other cations. Generally, the stability of alkali metal ion complexes of organic and inorganic ligands is rather low (usually log K < 2) and depends on the charge of the ligand, owing to the ionic nature of the interactions. At the same time, the size of the cation is an important factor that influences the stability: very often, but not always (e.g., for sulfate), it follows the trend Li+ > Na+ > K+ > Rb+ > Cs+. For example, for citrate it is: log K ML = 0.88, 0.80, 0.48, 0.38, and 0.13 at 25 °C and infinite dilution. Some considerations are made on the main aspects related to the difficulties in the determination of weak complexes. The importance of the alkali metal ion complexes was also studied in the light of modelling natural fluids and in the use of these cations as probes for different processes. Some empirical relationships are proposed for the dependence of the stability constants of Na+ complexes on the ligand charge, as well as for correlations among log K values of NaL, KL or LiL species (L = generic ligand).
Please cite as: Met. Ions Life Sci. 16 (2016) 133–166
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References
H. S. Harned, B. B. Owen, The Physical Chemistry of Electrolytic Solutions, Reinhold Pub. Corp., New York, 1958, pp. 803.
C. Lentner, Geigy Scientific Tables, 8th edn., Ed C. Lentner, CIBA-Geigy, Basel, Switzerland, 1983.
J. Buffle, Complexation Reactions in Aquatic Systems: An Analytical Approach, Ellis Horwood, Chichester, 1988, pp. 692.
W. Stumm, J. J. Morgan, Aquatic Chemistry. Chemical Equilibria and Rates in Natural Waters, 3rd edn., John Wiley & Sons, Inc., New York, 1996, pp. 1040.
I. Grenthe, I. Puigdomenech, Modelling in Aquatic Chemistry, Eds I. Grenthe, I. Puigdomenech, OECD, Paris, 1997, pp. 777.
F. J. Millero, Physical Chemistry of Natural Waters, John Wiley & Sons, Inc., New York, 2001, pp. 654.
R. M. Roat-Malone, Bioinorganic Chemistry: A Short Course, 2nd edn., John Wiley & Sons, Inc., Hoboken, NJ, 2007, pp. 544.
R. R. Crichton, Biological Inorganic Chemistry, 2nd edn., A New Introduction to Molecular Structure and Function, Elsevier, Amsterdam, 2012, pp. 472.
Elements and Their Compounds in the Environment, 2nd edn., Eds E. Merian, M. Anke, M. Ihnat, M. Stoeppler, Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim, 2004, pp. 1773.
D. M. Templeton, F. Ariese, R. Cornelis, L. G. Danielsson, H. Muntau, H. P. van Leeuwen, R. Lobinski, Pure Appl. Chem. 2000, 72, 1453–1470.
L. G. Sillén, A. E. Martell, Stability Constants of Metal Ion Complexes, Special Publ. 17, The Chemical Society, Wiley, London, 1964.
L. G. Sillén, A. E. Martell, Stability Constants of Metal Ion Complexes. Supplement Special Publ. 25, The Chemical Society, Wiley, London, 1964.
E. Hogfeldt, Stability Constants of Metal-Ion Complexes. Part A: Inorganic Ligands, IUPAC Chemical Data Series, Pergamon Press, Oxford, 1982, pp. 310.
P. M. May, K. Muray, Talanta 1991, 38, 1419–1426.
D. Pettit, K. Powell, IUPAC Stability Constants Database, Academic Software, Otley, UK, 2004.
A. E. Martell, R. M. Smith, R. J. Motekaitis, NIST Standard Reference Database 46, version 8, Gaithersburg, 2004.
Y. Marcus, G. Hefter, Chem. Rev. 2006, 106, 4585–4621.
P. G. Daniele, C. Foti, A. Gianguzza, E. Prenesti, S. Sammartano, Coord. Chem. Rev. 2008, 252, 1093–1107.
S. Berto, P. G. Daniele, G. Lando, E. Prenesti, S. Sammartano, Int. J. Electrochem. Sci. 2012, 7, 10976–10986.
A. Braibanti, G. Ostacoli, P. Paoletti, L. D. Pettit, S. Sammartano, Pure Appl. Chem. 1987, 59, 1721–1728.
R. P. Buck, S. Rondinini, A. K. Covington, F. G. K. Baucke, C. M. A. Brett, M. F. Camoes, M. J. T. Milton, T. Mussini, R. Naumann, K. W. Pratt, P. Spitzer, G. S. Wilson, Pure Appl. Chem. 2002, 74, 2169–2200.
A. De Robertis, C. De Stefano, S. Sammartano, C. Rigano, Talanta 1987, 34, 933–938.
P. G. Daniele, A. De Robertis, C. De Stefano, S. Sammartano, C. Rigano, J. Chem. Soc. Dalton Trans. 1985, 2353–2361.
C. De Stefano, D. Milea, A. Pettignano, S. Sammartano, Anal. Bioanal. Chem. 2003, 376, 1030–1040.
R. M. Cigala, M. Cordaro, F. Crea, C. De Stefano, V. Fracassetti, M. Marchesi, D. Milea, S. Sammartano, Ind. Eng. Chem. Res. 2014, 53, 9544–9553.
Activity Coefficients in Electrolyte Solutions, Ed R. M. Pytkowicz, Vol. 1, CRC Press, Inc., 1979, pp. 288.
Activity Coefficients in Electrolyte Solutions, Ed R. M. Pytkowicz, Vol. 2, CRC Press, Inc., 1979, pp. 330.
F. Crea, C. De Stefano, D. Milea, A. Pettignano, S. Sammartano, Bioinorg. Chem. Appl. 2015, 2015, pp. 12, ID 267985.
P. G. Daniele, M. Grasso, C. Rigano, S. Sammartano, Ann. Chim. (Rome) 1983, 73, 495–515.
C. F. Baes, R. E. Mesmer, Am. J. Sci. 1981, 281, 935–962.
K. Popov, L. H. J. Lajunen, A. Popov, H. Rönkkömäki, M. Hannu-Kuure, A. Vendilo, Inorg. Chem. Commun. 2002, 5, 223–225.
F. J. Millero, J. Phys. Chem. 1970, 74, 356–362.
K. Johnson, R. M. Pytkowicz, Am. J. Sci. 1978, 278, 1428–1447.
A. De Robertis, C. Rigano, S. Sammartano, O. Zerbinati, Thermochim. Acta 1987, 115, 241–248.
A. A. Reznikov, V. A. Shaposhnik, Russ. J. Phys. Chem. A 2007, 81, 179–181.
R. Heyrovská, J. Electrochem. Soc. 1996, 143, 1789–1793.
P. G. Daniele, C. Rigano, S. Sammartano, Inorg. Chim. Acta 1982, 63, 267–272.
E. C. Righellato, C. W. Davies, Trans. Faraday Soc. 1930, 26, 592–600.
D. Midgley, Chem. Soc. Rev. 1975, 4, 549–568.
F. P. Daly, C. W. Brown, D. R. Kester, J. Phys. Chem. 1972, 79, 3664–3668.
F. Crea, C. De Stefano, A. Gianguzza, D. Piazzese, S. Sammartano, Talanta 2006, 68, 1102–1112.
P. G. Daniele, A. De Robertis, C. De Stefano, A. Gianguzza, S. Sammartano, J. Solution Chem. 1991, 20, 495–515.
R. M. Smith, R. A. Alberty, J. Phys. Chem. 1956, 60, 180–184.
C. De Stefano, C. Foti, A. Gianguzza, J. Chem. Res. 1994, (S) 464 (M) 2639–2661.
C. De Stefano, C. Foti, A. Gianguzza, D. Piazzese, Chem. Spec. Bioavail. 1998, 10, 19–26.
F. Crea, C. De Stefano, D. Milea, S. Sammartano, Coord. Chem. Rev. 2008, 252, 1108–1120.
F. Crea, P. Crea, C. De Stefano, D. Milea, S. Sammartano, J. Mol. Liq. 2008, 138, 76–83.
N. Veiga, J. Torres, I. Macho, K. Gomez, G. Gonzalez, C. Kremer, Dalton Trans. 2014, 43, 16238–16251.
R. M. Cigala, F. Crea, G. Lando, D. Milea, S. Sammartano, J. Chem. Thermodyn. 2010, 42, 1393–1399.
A. M. Bond, G. T. Hefter, Critical Survey of Stability Constants and Related Thermodynamic Data of Fuoride Complexes in Aqueous Solution, Ed. IUPAC, Pergamon Press, Oxford (UK), 1980, pp. 67.
G. R. Miller, D. R. Kester, Mar. Chem. 1976, 4, 67–82.
F. J. Rawson, A. J. Downard, K. H. Baronian, Sci. Rep. 2014, 4, pp. 9, ID:5216.
A. De Robertis, C. Rigano, S. Sammartano, Ann. Chim. (Rome) 1984, 74, 33–39.
S. Capone, A. De Robertis, C. De Stefano, R. Scarcella, J. Chem. Res. 1986, (S) 412.
S. Capone, A. De Robertis, S. Sammartano, C. Rigano, Thermochim. Acta 1986, 102, 1–14.
M. T. Beck, Chemistry of Complex Equilibria, Van Nostrand Reinhold, London, 1970, pp. 285.
W. A. Eaton, P. George, G. I. H. Hanania, J. Phys. Chem. 1967, 71, 2016–2021.
J. M. Pratt, R. J. P. Williams J. Chem. Soc. A 1967, 1291–1298.
J. Z. Yang, P. S. Song, D. B. Wang, J. Chem. Thermodyn. 1997, 29, 1343–1351.
A. Bousher, J. Coord. Chem. 1995, 34, 1–11.
L. M. Rowe, L. B. Tran, G. Atkinson, J. Solution Chem. 1989, 18, 675–689.
H. R. Rogers, C. M. G. Van Den Berg, Talanta 1988, 35, 271–275.
A. Gianguzza, D. Milea, F. J. Millero, S. Sammartano, Mar. Chem. 2004, 85, 103–124.
G. Svehla, Vogel’s Textbook of Macro and Semimicro Qualitative Inorganic Analysis, 5th edn., Longman Group Limited, London, 1979, pp. 605.
F. Crea, A. De Robertis, C. De Stefano, S. Sammartano, Talanta 2007, 71, 948–963.
Metal Ions in Biological Systems: Volume 32: Interactions of Metal Ions with Nucleotides: Nucleic Acids, and Their Constituents, Eds A. Sigel, H. Sigel, Marcel Dekker Inc., New York, 1996, pp. 854.
R. M. Smith, A. E. Martell, Y. Chen, Pure Appl. Chem. 1991, 63, 1015–1080.
N. C. Melchior, J. Biol. Chem. 1954, 208, 615–628.
M. M. Taqui Khan, A. E. Martell, J. Am. Chem. Soc. 1966, 88, 668–671.
J. M. Blair, Eur. J. Biochem. 1970, 13, 384–390.
M. S. Mohan, G. A. Rechnitz, J. Am. Chem. Soc. 1970, 92, 5839–5842.
G. A. Rechnitz, M. S. Mohan, Science 1970, 168, 1460.
N. C. Melchior, G. A. Rechnitz, M. S. Mohan, Science 1971, 171, 1267–1268.
E. J. Foot, G. A. Rechnitz, Arch. Biochem. Biophys. 1974, 165, 604–614.
R. K. Kobos, G. A. Rechnitz, Arch. Biochem. Biophys. 1976, 175, 11–20.
R. Calì, S. Musumeci, C. Rigano, S. Sammartano, Inorg. Chim. Acta 1981, 56, L11–L13.
A. De Robertis, C. De Stefano, S. Sammartano, R. Calì, R. Purrello, C. Rigano, J. Chem. Res. 1986, (S) 164 (M) 1301–1347.
C. De Stefano, D. Milea, A. Pettignano, S. Sammartano, Biophys. Chem. 2006, 121, 121–130.
J. Botts, A. Chashin, H. L. Young, Biochemistry 1965, 4, 1788–1796.
F. Crea, C. De Stefano, A. Gianguzza, D. Piazzese, S. Sammartano, Chem. Spec. Bioavail. 2004, 16, 1–8.
A. De Robertis, C. De Stefano, A. Gianguzza, Thermochim. Acta 1991, 177, 39–57.
A. De Robertis, C. De Stefano, D. Milea, S. Sammartano, J. Solution Chem. 2005, 34, 1211–1226.
A. Casale, C. De Stefano, G. Manfredi, D. Milea, S. Sammartano, Bioinorg. Chem. Appl. 2009, 2009, pp. 17, ID 219818.
F. Crea, C. Foti, D. Milea, S. Sammartano, in Cadmium: From Toxicity to Essentiality, Vol. 11 of Metal Ions in Life Sciences, Eds A. Sigel, H. Sigel, R. K. O. Sigel, Springer Science + Business Media B.V., Dordrecht, 2013, Vol. 11, pp. 63–83.
D. Cucinotta, C. De Stefano, O. Giuffrè, G. Lando, D. Milea, S. Sammartano, J. Mol. Liquids 2014, 200, 329–339.
S. Fiol, I. Brandariz, M. S. de Vicente, Talanta 1995, 42, 797–801.
A. Casale, C. De Stefano, S. Sammartano, P. G. Daniele, Talanta 1989, 36, 903–907.
C. De Stefano, A. Gianguzza, Ann. Chim. (Rome) 1991, 81, 119–130.
C. De Stefano, C. Foti, A. Gianguzza, S. Sammartano, Chem. Spec. Bioavail. 1995, 7, 1–8.
C. Bretti, A. Giacalone, A. Gianguzza, D. Milea, S. Sammartano, Fluid Phase Equilib. 2007, 252, 119–129.
A. S. Reddy, G. N. Sastry, J. Phys. Chem. A 2005, 109, 8893–8903.
P. Crea, A. De Robertis, C. De Stefano, D. Milea, S. Sammartano, J. Chem. Eng. Data 2007, 1028–1036.
R. M. Cigala, F. Crea, C. De Stefano, G. Lando, D. Milea, S. Sammartano, Amino Acids 2012, 43, 629–648.
C. Bretti, F. Crea, O. Giuffrè, S. Sammartano, J. Solution Chem. 2008, 37, 183–201.
C. Bretti, F. Crea, C. De Stefano, S. Sammartano, Fluid Phase Equilib. 2008, 272, 47–52.
S. Cascio, A. De Robertis, C. Foti, Fluid Phase Equilib. 2000, 170, 167–181.
C. Bretti, R. M. Cigala, C. De Stefano, G. Lando, S. Sammartano, J. Chem. Eng. Data 2013, 59, 143–156.
A. Casale, A. De Robertis, F. Licastro, C. Rigano, J. Chem. Res. 1990, (S) 204 (M) 1601–1620.
A. De Robertis, C. De Stefano, C. Rigano, S. Sammartano, R. Scarcella, J. Chem. Res. 1985, (S) 42, (M) 629–650.
P. G. Daniele, A. De Robertis, C. De Stefano, A. Gianguzza, S. Sammartano, J. Chem. Res. 1990, (S) 300 (M) 2316–2350.
A. De Robertis, C. Foti, A. Gianguzza, Ann. Chim. (Rome) 1993, 83, 485–497.
A. De Robertis, C. De Stefano, C. Foti, Ann. Chim. (Rome) 1996, 86, 155–166.
A. Katchalsky, Biophys. J. 1964, 4, 9–41.
C. De Stefano, A. Gianguzza, D. Piazzese, S. Sammartano, Mar. Chem. 2004, 86, 33–44.
C. Bretti, F. Crea, C. Rey-Castro, S. Sammartano, React. Funct. Polym. 2005, 65, 329–342.
C. De Stefano, A. Gianguzza, D. Piazzese, S. Sammartano, React. Funct. Polym. 2003, 55, 9–20.
F. Crea, C. De Stefano, F. J. Millero, V. K. Sharma, J. Solution Chem. 2004, 33, 1349–1367.
R. M. Cigala, F. Crea, S. Sammartano, J. Mol. Liq. 2008, 143, 129–133.
R. M. Cigala, F. Crea, C. De Stefano, S. Sammartano, J. Chem. Eng. Data 2009, 54, 2137–2139.
C. Bretti, R. M. Cigala, F. Crea, S. Sammartano, Talanta 2007, 72, 1059–1065.
C. Bretti, C. De Stefano, C. Foti, O. Giuffrè, S. Sammartano, J. Solution Chem. 2009, 38, 1225–1245.
G. Crisponi, V. M. Nurchi, J. I. Lachowicz, M. Crespo-Alonso, M. A. Zoroddu, M. Peana, Coord. Chem. Rev. 2015, 284, 278–285.
G. Anderegg, Critical Survey of Stability Constants of EDTA Complexes, Pergamon Press, Oxford (UK), 1977, pp. 48.
G. Anderegg, Pure Appl. Chem. 1982, 54, 2693–2758.
G. Anderegg, F. Arnaud-Neu, R. Delgado, J. Felcman, K. Popov, Pure Appl. Chem. 2005, 77, 1445–1495.
K. Popov, H. Wanner, In Biogeochemistry of Chelating Agents, Eds B. Nowack, J. M. Vanbriesen, American Chemical Society, Washington DC, 2005, pp. 50.
G. Anderegg, Helv. Chim. Acta 1967, 50, 2333–2340.
G. Anderegg, Z. Naturforsch. B 1976, 31, 786–789.
J. I. Watters, O. E. Schupp III, J. Inorg. Nucl. Chem. 1968, 30, 3359–3362.
G. Schwarzenbach, E. Kampitsch, R. Steiner, Helv. Chim. Acta 1945, 28, 828–840.
G. Schwarzenbach, H. Ackermann, Helv. Chim. Acta 1947, 30, 1798–1804.
C. De Stefano, S. Sammartano, A. Gianguzza, D. Piazzese, Anal. Bioanal. Chem. 2003, 375, 956–967.
F. Crea, C. De Stefano, A. Gianguzza, D. Piazzese, S. Sammartano, Chem. Spec. Bioavail. 2003, 15, 75–86.
C. Bretti, C. De Stefano, C. Foti, S. Sammartano, J. Solution Chem. 2013, 42, 1452–1471.
K. Popov, H. Rönkkömäki, L. H. J. Lajunen, Pure Appl. Chem. 2001, 70, 1641–1677.
A. Alderighi, A. Vacca, F. Cecconi, S. Midollini, E. Chinea, S. Dominguez, A. Valle, D. Dakternieks, A. Duthie, Inorg. Chim. Acta 1999, 285, 39–48.
R. G. G. Russell, Bone 2011, 49, 2–19.
C. Foti, O. Giuffrè, S. Sammartano, J. Chem. Thermodyn. 2013, 66, 151–160.
R. Carrol, R. Irani, Inorg. Chem. 1967, 6, 1994–1998.
V. P. Vasil’ev, E. V. Kozlovskii, T. B. Marina, Zhur. Neorg. Khim. 1985, 30, 36–40.
C. Bretti, I. Cukrowski, C. De Stefano, G. Lando, J. Chem. Eng. Data 2014, 59, 3728–3740.
P. Demianov, C. De Stefano, A. Gianguzza, S. Sammartano, Environ. Toxicol. Chem. 1995, 14, 767–773.
C. Bretti, C. De Stefano, G. Lando, S. Sammartano, Fluid Phase Equilib. 2010, 292, 71–79.
C. Bretti, R. M. Cigala, C. De Stefano, G. Lando, S. Sammartano, Int. J. Electrochem. Sci. 2013, 8, 10621–10649.
V. M. Nurchi, G. Crisponi, M. Arca, M. Crespo-Alonso, J. I. Lachowicz, D. Mansoori, L. Toso, G. Pichiri, M. Amelia Santos, S. M. Marques, J. Niclos-Gutierrez, J. M. Gonzalez-Perez, A. Dominguez-Martin, D. Choquesillo-Lazarte, Z. Szewczuk, M. Antonietta Zoroddu, M. Peana, J. Inorg. Biochem. 2014, 141, 132–143.
E. Shchori, N. Nae, J. Jagur-Grodzinski, J. Chem. Soc. Dalton Trans. 1975, 2381–2386.
F. Arnaud-Neu, R. Delgado, S. Chaves, Pure Appl. Chem. 2003, 75, 71–102.
M. Marangella, M. Petrarulo, C. Vitale, P. G. Daniele, S. Sammartano, D. Coseddu, F. Linari, Clin. Sci. 1991, 81, 483–490.
P. G. Daniele, C. De Stefano, M. Marangella, C. Rigano, S. Sammartano, Biochim. Clin. 1989, 13, 507–510.
N. Ingri, W. Kakołowicz, L. G. Sillén, B. Warnqvist, Talanta 1967, 14, 1261–1286.
D. K. Nordstrom, J. W. Ball, in Complexation of Trace Metals in Natural Waters, Eds C. J. M. Kramer, J. C. Duinker, Nijhoff/Junk, The Hague, 1984, pp. 149–164.
G. Eriksson, Anal. Chim. Acta 1979, 112, 375–383.
C. De Stefano, P. Princi, C. Rigano, S. Sammartano, Comput. Chem. 1989, 13, 343–359.
J. A. Dyer, P. Trivedi, N. C. Scrivner, D. L. Sparks, Environ. Sci. Technol. 2003, 37, 915–922.
G. Biederman, in Dahlem Workshop on the Nature of Seawater, Dahlem Konferenzen, Berlin, 1975, pp. 339–362.
K. S. Pitzer, J. Phys. Chem. 1973, 77, 268–277.
K. S. Pitzer, Activity Coefficients in Electrolyte Solutions, 2nd Edn., Ed. K. S. Pitzer, CRC Press, Inc., Boca Raton, FL, 1991, pp. 542.
L. A. Bromley, AIChE J. 1973, 19, 313–320.
H. Krienke, J. Barthel, J. Mol. Liq. 1998, 78, 123–138.
H. Krienke, J. Barthel, Z. Phys. Chem. (Munich) 1998, 204, 71–83.
T. H. Ho, C. C. Lai, Y. H. Liu, S. M. Peng, S. H. Chiu, Chem. Eur. J. 2014, 20, 4563–4567.
Y. H. Lin, C. C. Lai, Y. H. Liu, S. M. Peng, S. H. Chiu, Angew. Chem. Int. Ed. 2013, 52, 10231–10236.
A. N. Thompson, I. Kim, T. D. Panosian, T. M. Iverson, T. W. Allen, C. M. Nimigean, Nat. Struct. Mol. Biol. 2009, 16, 1317–1324.
K. J. Liu, P. Gast, M. Moussav, S. W. Norby, N. Vahidi, T. Walczak, M. Wu, H. M. Swartz, Biophysics 1993, 90, 5438–5442.
R. P. Pandian, S. M. Chacko, M. L. Kuppusamy, B. K. Rivera, P. Kuppusamy, Adv. Exp. Med. Biol. 2011, 701, 29–36.
R. P. Pandian, M. Dolgos, C. Marginean, P. M. Woodward, P. C. Hammel, P. T. Manoharan, P. Kuppusamy, J. Mater. Chem. 2009, 19, 4138–4147.
S. Spicuglia, S. Kumar, L. Chasson, D. Payet-Bornet, P. Ferrier, J. Biochem. Bioph. Meth. 2004, 59, 189–194.
S. A. Akman, J. H. Doroshow, M. Dizdaroglu, Arch. Biochem. Biophys. 1990, 282, 202–205.
G. C. Terstappen, Assay Drug Dev. Technol. 2004, 2, 553–559.
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Crea, F., De Stefano, C., Foti, C., Lando, G., Milea, D., Sammartano, S. (2016). Alkali Metal Ion Complexes with Phosphates, Nucleotides, Amino Acids, and Related Ligands of Biological Relevance. Their Properties in Solution. In: Sigel, A., Sigel, H., Sigel, R. (eds) The Alkali Metal Ions: Their Role for Life. Metal Ions in Life Sciences, vol 16. Springer, Cham. https://doi.org/10.1007/978-3-319-21756-7_5
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