In the chlorine complex equilibrium of the antimony trichloride hydrolysis system, Sb ^{3 +} can form six chlorine complex ions with Cl ^- , SbCl _i ^3-i (i = 1 ~ 6), and thus the total concentration of trivalent europium is:

(1)

The Cl ^- concentration coordinated to Sb(III) is:

(2)

Other metal ions (Me ^{n +)} ligand Cl ^- in a concentration of:

(3)

Where K _i is the chlorine complex stability constant of Me ^{n +} , [Cl ^- ] represents the free chlorine concentration, and Me ^{n +} does not form a chlorine complex ion, then [Cl ^- ] _Me =0, therefore, total chloride The concentration is:

(4)

Sb(III) indicates that the hydrolysis equilibrium of the chlorine complex ion has the following form:

(5)

In the formula, Sb _a Cl _j O _h is a solid hydrolysis product. According to this, the number of ion concentration index equations equal to the number of Sb(III) ions can be established.

(6)

In the formula, [R _i ^{Z -} ] includes [SbO ⁺ ] and [SbCl _i ^{3 -i} ]; N is a constant, which can be obtained from the equilibrium constant of the hydrolysis reaction; H = 2h∕a, that is, a ruthenium chloride complex ion hydrolysis reaction The proton number is lost; L=i-j∕a, which is the number of chloride ions liberated by a hydrazine chloride complex ion hydrolysis reaction.

According to the principle of electrical neutrality, establish a charge balance equation:

(7)

Substituting equations (2), (3), and (6) into equations (1), (4), and (7), assuming [Cl ^- ] _T or [Cl ^- ] _T and [Me ^{n +} ] _T , simultaneous (1), (4) and (7), solve and plot, and finally find the basic thermodynamic model of [Cl ^- ] _T or [Cl ^- ] _T and [Me ^{n +} ] _T :

(8)

or (9)

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