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. Author manuscript; available in PMC: 2010 Jan 1.
Published in final edited form as: Acta Biomater. 2008 Jul 2;5(1):508–517. doi: 10.1016/j.actbio.2008.06.010

Table 2.

Abbreviations and the values of constants used in Eqs. (1) and (2)

[i] Concentration of species i (mol l−1)
(i) Activity of i (mol l−1)
ai Effective diameter of ion i Ref. [33]
A Parameter A for Debye-Hükel limiting law 0.51144
B Parameter B for Debye-Hükel limiting law 107.517
fi Activity coefficient for species i
J P/(HPO42−)
m Total ionic strength of the solution
P Total phosphate concentration (mol l−1)
S Concentration of ion pairs (H2PO4)22−
T Total concentration of ion pairs CaHPO4o and CaH2PO4+
U Total concentration of ionpairs MgHPO4o and MgH2PO4+
Zi Valence of ion I
First dissociation constant of phosphoric acid 10−2.127 Ref. [34]
Second dissociation constant of phosphoric acid 10−7.20 Ref. [35]
Third dissociation constant of phosphoric acid 10−12.325 Ref. [36]
Ionic product for water 10−13.99 Ref. [37]
Dissociation constants of CaHPO40 ion-pair 10−2.3874 Ref. [36]
Dissociation constants of CaH2PO4+ ion-pair 10−0.9138 Ref. [36]
Dissociation constants of MgHPO40 ion-pair 10−2.852 Ref. [38]
Dissociation constants of MgH2PO4+ ion-pair 10−1.276 Ref. [38]