Calculating the Equilibrium Constants for All Monoazide Lanthanide Complexes in Aqueous Solution Based on the Formation of <math xmlns:mml="http://www.w3.org/1998/Math/MathML"><msubsup><mrow><mtext>Eu(III)/N</mtext></mrow><mrow><mn>3</mn></mrow><mrow><mo>−</mo></mrow></msubsup></math>: Table 1

Table 1: Calculated values of the Fronaeus function, F₀(L), determined by integrating the $\bar{n}$ versus ${[N_{3}^{-}]}_{2}$ data (I = 2.00 mol L⁻¹ (NaClO₄); T = 25.0 ± 0.1 °C).


pH₁	pK NH₃	${[N_{3}^{-}]}_{1}$ × 10⁻² (mol L⁻¹)	C_Eu(III) × 10⁻³ (mol L⁻¹)	pH₂	${[N_{3}^{-}]}_{2}$ × 10⁻³ (mol L⁻¹)	$\bar{n}$	F₀(L)

4.630	4.628	1.002	39.85	4.387	5.718	0.033	1.034
4.630	4.628	1.002	45.18	4.421	6.162	0.035	1.037
4.630	4.628	1.002	34.33	4.452	6.593	0.038	1.040
4.630	4.628	1.002	28.59	4.485	7.087	0.041	1.043
4.575	4.574	2.003	45.18	4.444	13.67	0.049	1.074
4.575	4.574	2.003	39.85	4.463	14.37	0.050	1.077
4.575	4.574	2.003	34.33	4.483	15.14	0.052	1.079
4.575	4.574	2.003	28.59	4.502	15.92	0.053	1.082
4.636	4.635	3.002	45.18	4.527	20.92	0.082	1.102
4.636	4.635	3.002	39.85	4.542	21.87	0.085	1.106
4.636	4.635	3.002	34.33	4.556	22.81	0.091	1.110
4.636	4.635	3.002	28.59	4.569	23.74	0.100	1.115
4.636	4.630	5.002	45.18	4.559	36.66	0.119	1.169
4.636	4.630	5.002	39.85	4.571	38.16	0.120	1.175
4.636	4.630	5.002	34.33	4.581	39.56	0.128	1.180
4.636	4.630	5.002	28.59	4.593	41.20	0.131	1.186
4.662	4.647	6.003	45.18	4.569	43.54	0.159	1.196
4.662	4.647	6.003	39.85	4.579	45.16	0.167	1.203
4.662	4.647	6.003	34.33	4.588	46.73	0.181	1.210
4.662	4.647	6.003	28.59	4.598	48.49	0.197	1.218
4.638	4.637	7.002	28.59	4.596	57.46	0.205	1.261
4.607	4.606	9.002	39.85	4.556	70.13	0.207	1.313
4.607	4.606	9.002	34.33	4.564	72.50	0.218	1.323
4.607	4.606	9.002	28.59	4.574	75.32	0.222	1.334
4.681	4.681	10.02	34.33	4.644	81.17	0.228	1.357
4.681	4.681	10.02	28.59	4.652	83.97	0.240	1.367