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The formation constant K<z,\ for the heavy-water system (log i?2,i = 12.28) had a larger value than th at for the light-water system (log K%t1 = 1 1

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N o tizen 1493 Solvent Deuterium Isotope Effect on Hydrolysis

of Nd3+ Ion

Ma s t jn o b u Ma e d a*, To sh ih ik o Am a y a, and Hid e t a k e Ka k ih a n a

*Department of Applid Chemistry, N agoya In stitu te of Technology, Gokiso, Showa-ku, Nagoya 466, Japan Research Laboratory for Nuclear Reactors,

Tokyo In stitute of Technology, O-okayama, Meguro-ku, Tokyo 152, Japan (Z. Naturforsch. 32 b, 1493-1495 [1977]; received August 30, 1977)

Deuterium Isotope Effect, Formation Constant, H eavy W ater, Hydrolysis, Neodymium Ion

The hydrolysis equilibria of N d3+ ion in light- and heavy-water solutions containing 3 mol dm-3 (Li)C104 as an ionic medium were studied at 25 °C by measuring the lyonium- ion concentration with a glass electrode.

Analysis o f the em f data indicated the forma­

tion o f only the mononuclear com plex Nd(OL)2+ in both light and heavy water. The form ation constant was smaller in D2O (log */?2,i = -— 16.54 ± 0.04) than in H2O (log *ß2,i = — 15.90 ± 0.06). The formation constant K<z,\ for the heavy-water system (log i?2,i = 12.28) had a larger value than th at for the light-water system (log K%t1 =

1 1 . 8 6 ).

Introduction

As was reported in previous papers1-7, the authors studied the hydrolytic reactions of various metal ions in both light and heavy water. The composi­

tions of complexes formed by hydrolysis in heavy water were found to be analogous to those in light water, and the formation constant */?P,q of the complexes in D2O were smaller than those in H2O.

In a previous w ork7 the authors measured the ionic product of D2O containing 3 mol dm-3 LiC104 and examined th e deuterium isotope effect on formation constants i£p,q for hydrolysis species of boric acid.

I t was found th a t the K v<ri values in heavy water were slightly larger than those in light water. The deuterium isotope effect on i£P,q values for other hydrolysis species was not reported.

In the present work, potentiometric measure­

ments of the hydrolysis of N d3+ ion were carried out in heavy w ater as well as in light water in order to elucidate the deuterium isotope effect. These experi­

ments used 3 mol dm-3 (Li)C104 as an ionic medium, because the ionic product of D2O in this system is available7.

R equests for reprints should be sent to Dr. M . Ma e d a, D epartm ent of Applied Chemistry, Nagoya Institute of Technology, Gokiso, Showa-ku, Nagoya 466, Japan.

A neodymium perchlorate sample solution and other reagents used were prepared and analyzed according to the same procedures as those in the previous papers5-6.

All the apparatus employed were the same as those in Ref. 7.

Preparation of a test solution

A test solution was prepared as follows. A slightly acidic neodymium perchlorate solution, which had been freed from CO2 by passing purified N2 gas, was electrolyzed to reduce L+ ions by using a d. c. power supply until precipitates appeared. In order to saturate the solution with Nd(OL)3 precipi­

tates the m ixture was stirred with a magnetic rod for two days. The precipitates of Nd(OL)3 were removed by filtration with G 4 glass filters. All the procedures were carried out under an atmosphere of N2 gas in a room kept a t 25 ± 1 °C.

Emf measurements

A test solution thus prepared, in which the total concentration of perchlorate ions was kept a t 3 mol dm-3 by addition of LiC10 4, was acidified in small steps by constant-current coulometry, and the lyonium-ion concentration was measured by means of a glass electrode8. The same cell assembly as described in Ref. 9 was used for emf measure­

m ents and coulometric titrations.

All the measurements were performed a t 25,00 ± 0,02 °C in a parrafin oil therm ostat in a room therm ostated a t 25 ± 1 °C.

Results and Discussion

The values of Z (log d)s for the heavy-water system are graphically shown in Fig. 1.

Experimental R ea g en ts a n d a p p a r a tu s

Fig. 1. Average number, Z, of OD bound per N d 3+ as a function of log d. The drawn curve was calculated w ith the formation constant of log *ßz.i = — 16.54.

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1494 N o tizen I t is seen th a t the plot is a function of only d and independent of B. The plot analogous to th a t in Fig. 1 was obtained in the light-w^ater system. This indicates th a t only mononuclear complexes are formed in both light and heavy water.

On the basis of these d ata the compositions and formation constants of the hydrolysis species were estim ated by graphical procedures. The concentra­

tion of the lyonium ion set free by hydrolysis, BZ, is given by the following form,

BZ = 2 p *jffPlibl-P (1)

Since the values of Z do not exceed 0.02 in the solutions studied, the graphical calculations can be simplified by using the approxim ation b = B. Thus, equation (1) gives

Z = £ p * f t , , l - p (2)

According to Eq. (2), 1/2 Z l2 values were plotted as a function of — log 1. The data for the heavy water system are shown in Fig. 2. I t is apparent th a t 1/2 z d2 values are independent of d values, which means p = 2. The same result was obtained for the light water system. Thus, it is concluded th a t the hydrolysis species formed in light and heavy water is Nd(OL)2+. The formation constants read from the intercepts were — 16.54 ± 0 .0 4 (in D2O) and — 15.90 ± 0 .0 6 (in H2O) in log unit.

The presence of the Nd(OH)2+ species was not reported previously. All the previous investiga­

to rs10-12 found only N dO H 2+ as a mononuclear species. This complex was not detected in the present work, although its possibility was examined by a least squares m ethod with an electronic

Fig. 2. 1/2 Zd2 as a function of — log d. The straight line was calculated with the formation constant of

log *ß2.i = — 16.54.

computer. One possible explanation for this in ­ consistency m ay be th at the maxium Z values reached in the present work is much larger th an those in the previous studies and th a t the low-Z region, where the NdOH2+ complex was probably formed, was not measured in the present work.

Bu r k o v et a l. 12 reported th a t the main hydrolytic reaction of N d3+ ion in 3 mol dm-3 (Na)C104 aqueous solution is the formation of the dimer N d2(OH)24+.

They titrated an acidic neodymium perchlorate solution with an alkali, and their maximum Z value did not exceed 0.005. The authors titrated a solution saturated with Nd(OH)3 precipitates with an acid and obtained the maximum Z value of 0.02. Such differences in experimental procedure m ight cause the inconsistency in composition of hydrolysis species, if the attainm ent of hydrolysis equilibria is slow.

The formation constant *ß2.i of the Nd(OL)2+ species in D2O was smaller than th a t in H2O. This trend is consistent with th a t for other m etal ion hydrolysis species1-7. The formation constants K 2,i wTere calculated using the *^2,1 values and the values of K w for H2O (pKw) = 13.88) and D2 0(pÜLW = 14.41)7.Theiip,q values for hydrolysis species of Y 3+

and lanthanoid ions were also calculated by use of the *ßp,q values in 3 mol dm-3 (Li)C104 solution reported previously5*6. The calculated ifp.q values are summarized in Table I. The K Pt(l values in the heavy water system are larger than those in the light water system. This means th a t there are some isotope effects in hydrolysis other th an th a t ascribed to the difference between the ionic products of light and heavy water.

Notation L: lyon, H or D,

d : concentration of the free deuterium ion,

1: concentration of the free lyonium ion, B : total concentration of N d3+,

b : concentration of free N d3+,

*/?p>q: formation constant for the reaction qM>+ + P L2O = Mq(OL)p(«i- pH -f- p L +, Zp,q formation constant for the reaction

qMz+ - f pO L- = Mq(OL)p(M-P)+,

Z = (1— L — K w/1)/B, the average num ber of lyonium ions split off per N d3+,

Kw: ionic product of water.

Table I. i£p,q values for hydrolysis of Y 3+ and lanthanoid ions in H2O and D2O containing 3 mol dm-3 (Li)C104-

Y 3+ La3+ N d 3+ Gd3+ Er3+

h2o d2o h2o d2o h2o d2o h2o d2o h2o d2o

log K \,\ - - 3.84 4.06 - - 5.68 6.07

log K 2,i 1 0.96 I I.82 - - 11 .8 6 12.28 - - 10.56 11.42

log-K:22 13.72 14.07 _______- __________ - ________- _________ - _________ 14.04 14.53 1 H. Ka k i h a n a and M . Ma e d a, Bull. Chem. Soc.

Jpn. 43, 109 [1970].

2 M . Ma e d a and H. Ka k i h a n a, ibid. 43, 1097 [1970].

3 H. Ka k i h a n a, T. Am a y a, and M . Ma e d a, ibid. 43, 3155 [1970].

4 H. Ka k i h a n a, T. Am a y a, and M . Ma e d a, Pure

A p p l . Chem. 34, 49 [1972].

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N o tizen 1495 T. Am a y a, H. Ka k i h a n a, and M . Ma e d a, Bull.

Chem. Soc. Jpn. 46, 1720 [1973].

T. Am a y a, H. Ka k i h a n a, and M . Ma e d a, ibid. 46, 2889 [1973].

M . Ma e d a, Y. Su n a o k a, and H. Ka k i h a n a, J.

Inorg. Nucl. Chem. in press.

H . Ka k i h a n a, M . Ma e d a, and T. Am a y a, Bull.

Chem. Soc. Jpn. 43, 1377 [1970].

9 H. Ts u k u d a, T . Ka w a i, M . Ma e d a, a n d H. Oh t a k i, ib id . 4 8 , 6 9 1 [ 1 9 7 5 ] .

io T . J. Mo e l l e r, J. Phys. Chem. 5 0 , 2 4 2 [1 9 4 6 ].

u R. S . To b i a s a n d A. B. Ga r r e t t, J. Am. Chem. S o c . 8 0 , 3 5 3 2 [ 1 9 5 8 ] .

12 K . A. Bu r k o v, L . S . Li l i c h, Ng u e n Di n h Ng o, a n d A. Y u. Sm i r n o v, Ru s s. J. I n o r g . Chem. 1 8 , 7 9 7

[ 1 9 7 3 ] .

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