• Aucun résultat trouvé

ON THE PERTURBATION OF THE ATOMIC STRUCTURE OF LIQUID POTASSIUM BY THE ADDITION OF KCl

N/A
N/A
Protected

Academic year: 2021

Partager "ON THE PERTURBATION OF THE ATOMIC STRUCTURE OF LIQUID POTASSIUM BY THE ADDITION OF KCl"

Copied!
6
0
0

Texte intégral

(1)

HAL Id: jpa-00220375

https://hal.archives-ouvertes.fr/jpa-00220375

Submitted on 1 Jan 1980

HAL is a multi-disciplinary open access

archive for the deposit and dissemination of

sci-entific research documents, whether they are

pub-lished or not. The documents may come from

teaching and research institutions in France or

abroad, or from public or private research centers.

L’archive ouverte pluridisciplinaire HAL, est

destinée au dépôt et à la diffusion de documents

scientifiques de niveau recherche, publiés ou non,

émanant des établissements d’enseignement et de

recherche français ou étrangers, des laboratoires

publics ou privés.

ON THE PERTURBATION OF THE ATOMIC

STRUCTURE OF LIQUID POTASSIUM BY THE

ADDITION OF KCl

J .F. Jal, J. Dupuy, P. Chieux

To cite this version:

(2)

ON THE PERTURBATION OF THE ATOMIC STRUCTURE OF LIQUID POTASSIUM BY THE

ADDITION OF KC1

J.F. JAL, J. DUPUY and P. CHIEUX*

De'parternent de Physique des Matdriaux, Universitl Claude Bernard, Lyon V<lZeurbanne, France.

*

I n s t i t u t Laue-Langevin, CrenobZe, France.

Abstract: T!e present and analyse the effect of the addition of up to 25X of KC1 on the structure of molten potassium. At these metallic concentrations salient features of the salt structure are becoming apparent. The small angle scattering behavior and preliminary excess volume data point to strong devi- ation from regularity at very high metal concentration.

The solutions of the alkali metals in their molten salts have been long known

[ I 1

for their considerable change in electrical transport proper-

T

OC

ties versus addition of metal. They offer an inte- resting example of non metal to metal transition in

disordered systems. A detailed study of the concen- -t-'

a

tration fluctuations near the liquid-liquid mis- cibility gap in the systen K in KBr has already been made by small angle neutron scattering [ 2 ] ,

[ 3 1 . On the other hand, it is quite interesting to

',

-900

10

\

investigate the short range order behavior of this disordered system where ionicity sets in progressi- vely.

In the present study we have obtained the structure factors of several solutions of potassium in KC1 in a concentration range where the systen is

-

2

metallic r 4 1 i?-'cm-' <

a

< 10 - R-I cn-I and where the concentration fluctuations are definiti- vely very small 121 (see figure I ) . The experiments

have been performed on the D4 machine at the Institut Laue Langevin (Grenoble) [51.

I. The experimental results - The structuye factors The structure factors of five solutions of potassium chloride in potassium from 75X to 95Z in potassium content are displayed on figure 2. The

smoothxJ structure factorof potassium given for com- parison has not been extended to the whole Q range since it was found identical to the literature

K

,/

KCL

/

Fig. I : Phase diagramme and electrical conductivi- --

ty of K - !<C1

value [61. The data have been corrected for back- ground, furnace, vanadium container and multiple scattering in the usual manner [ 7 ] . The incoherent

scattering, assumed to he isotropic, has been ob- tained at large scattering angles fron the ratio of incoherent to total scattering cross section. This is however still a first approach of the data ac-

(3)

C8-258 JOURNAL DE PHYSIQUE

quisition and treatment. As it is visible on the graph not all the runs have been performed to the same accuracy, the 90Z concentration being especial- ly poor. A close look at the low angles reveals also some difficulties left in the background cor- rection, as noticeable on the 952 sample near 0.75 On the other hand, detection problems have sometimes contaminated the high angle values

(see the 75X sample). "re believe however that the

The potassium structure factor at 800'~ has been computed via a soft sphere model [ 171 fitted first on the 130'~ data.

1

1 .

95% K

Fig. 2: The structure factors for K

- KC1.

Tem-

peratures 867°,8300,8000, 725' ,780°c from 75 to 9 5 ~ .

present state of data analysis is sufficient to assert the main characteristics of those structure patterns. Several features are of interest. First, a significant small angle scattering signal is ob- served at all those concentrations, although it is very small at 95Z. The main peak of the potassium

structure factor is considerably lowered upon the addition of small amounts of KC1 and has practical- ly disappeared at a concentration of 85X in potas- sium. On the-other hand it is at about this concen- tration that we begin to detect a characteristic peak of the salt structure. It is a pity that the main peak in the partial structure factor SCc ex- pressing the correlation of charges in KC1 just happens to be at the main peak position of the structure factor of the pure metal preventing any analysis at this stage. However we see at the posi- tion QN 2 2.33

i-'

the main peak of the partial structure factor SNN, [8],expressing the correla- tions of density or mass in the salt. Finally, one notices also the almost structureless behavior of

the 90X concentration where the disappearance of the metal peak matches the appearance of the salt peak.

11. The Small Angle Scattering

(4)

a value of about 3

A,

the same value being obtairpd in a Guinier analysis. Such a small fluctuation would not have been detected on conventional small

angle machines such as DII or 017 at the I.L.L. It is of course difficult to give a definite ~hysical picture of so short fluctuations or to assess clearly if they are related to the phase separa- tion which appears at much lower concentration in metal. Accurate thermodynamic values and nore re- solution in the low angle data would be quite use- ful. One may however make a comment on the signifi- cant feature which appear on the figure 2, i.e. the

very low small angle signal at 9 5 3 .

The anomalies of the thermodynamic limit S(o) in a binary system depend essentially on two terms, the value of the partial structure factor Scc(o) related to the derivative of the chemical potential versus concentration [ I 1 1 and a contrast coeffi-

cient C which involves the difference of the neu- tron scattering length per unit volume between the two components [I21

S(o) = A + C Scc(o) (1)

the A-term depends on the isothermal compressibi- lity of the system. The contrast is

where ci, bi and

vi

are the concentration in mole fraction, the scattering length and partial molar volume of the two constituants, K and KC1 in our case (X).We have displayed on figure 3 the estimated

decrease smoothly on the potassium rich side. The contrast coefficient has been computed first on a regular solution basis (curve R) and shows a maxi- mum near 95Z in K. However, preliminary excess vo- lume neasurements as obtained from neutron trans- mission data display a positive excess volume in both K in KC1 and K in KBr systems at conccntra- tions rich in metal (see figure 3b). On this basis, the maximum in the contrast C would be around 85X (see curve AVEX 4 n figure 3). The very low

small angle scattering at 95":upports therefore the idea of strong deviations from regularity in the very concentrated metallic system.

variation of Scc(o) and of the contrast C versus

--

Fig. 3a) The contrast effect on S(o). 3b) Excess volunle and deviation from regularity.

concentration for the system K in KC1. The Sc,(o) values have been obtained from neutron small angle

(*) The choice of K and KC1 as the two basic constituants for writing the equations (I) and (2; scattering experiments f 2 1 made for the system K in

does not inply that these are really the two terms of the fluctuation process. Complementary experi-

K R r and developed in reduced coordinates around

(5)

C8-260

JOURNAL DE PHYSIQUE

111. The Fourier Transforms - Comparison with Au-Cs The effect of addition of small quantities of KC1 to potassium is well illustrated again on figure 4 by the Fourier transforms of the total structure factors. The concentrations80Z and 857 having intermediate values between those displayed have been omitted. Difficulties in Fourier trans- forming such as on the 909; sample which was of poor statistics have still to be overcomed but the main trends are obvious. On the 909; sample and probably already on 95X appears the characteristic distance dN of the KC1 structure which is quite different from the first and second nearest neighbor d l and d distances in potassium. We see on the total d i s

2

nat

t r i b u t i o n f u n c t i o n g N ( r ) o f KC1 a t 8 1 8 O ~ 181 that the peak position dN is typical of the first nearest neighbors i.e. the K+- ~ 1 - distance. One notices however that the distance of closest

Fig.

4:

The Fourier transforms of K

-

KC1.

approach which is nearly the same for all concen- trations studied is slightly larger than for the

0

pure salt (2.25 A). The first neighbor metal peak considerably diminishes with the addition of KC1. At 95X the diminution is approximatively described however by simply taking into account the tempera- ture and yolume expansion effectilk].

The macroscopic ?roperties of the !1 in 2tX

and the PI in f%u systems [I51 present strong ana- logies. This is also true if one compares their structure factors [161. In the Cs-Au case, the

+

-

characteristic Cs -Au distance of the salt was observed at a concentration of 20% Au in Cs and if the analogy with K in KC1 is correct, it should be detectable at even much higher concentrations of Cs

.

These first results are stimulating since they point to a significant salt-like structure even at high metal concentration. It is essential however to obtain accurate values of the partial structure factors and especially the charge charge partial Scc at one concentration at least, in or- der to throw some light on the onset of ionicity in these metallic systems.

References:

[I

1

see BREDIG, 15-A., in "molten salt chemistry7' Ed. BLAPIDER,PI. ,Wiley ,N,Y. (1964)

[Z] J.F.JAL,P.CHIEW,J,DUPF, J.Physique

41

(1980)

C33 P.CFTIEUX,P.DP~dAV,J.DUPV',J.?.JAL,Colloque WEYL

17(137?)to be published in S,Phys.Chen. (1980) [4] &;e thank B.BX~NSTEIN for kindly supplying his

original data

[5] J.?. JAL,F'.CI.IIEUX,J.DUPW, to be published [6] PI.JCH?TSOfiI, to be published

[7] S.EISEMBERG, thsse de sp6cialit6, LYON 1977 [8] J.DEP.I?IETJ,J.DUPU??,J.Physique 36,191 (1975) [9] W.T,QTOLL,S.STEEB,Z. Waturforsch.33a,L>72 ( 1978)

[lo]

M.J.HUIGBEET,N. VAN DER LUGT, W.A.FI.WIhLERT, 3.TH.V. DE HOSSON,C. VAN DIC,K,Physica,97B, 338-364 (1 979)

[

113

A.B.BP?TIA,D.E.TKO~TON,Phys .I.ev.g,3004 (1970) [ 127 P.DAh%Y,P, C H I E U X , Z . N a t u r f o r s c h . ~ , 8 0 4 ( 1 979) [I31 P.KOZOULIA,thBse de sp6cialit6,Univ. de Dro-

vence ( 1 980)

[ I 4 1 J . B L E T R Y , J . F . J A L , J . D ~ W , t o be published

1152 P.HENSEL,Adv.in Physics 2 3 < 4 ) , 555 (1979)

(6)

respectively. The cause of this discrepancy is still under invcstiga- tion (one possib~lity is a double-peak feature in the pair distribution

function of the Mo-Ni distances). However, several general features can bc seen from Table 11. Flrst. the distances are about O.IOA shorter in the amorphous than In the crystalline phase.

Second, coord~nation number of the first shell at the NI atoms in a-MoNi is high -12, the value found for densely close packed

structure. In comparison, the crystalline phases (Tables I and 11)

show low coordination number

-

7. Third, the root mean square deviations (Debyc-Waller factors) of

-

0 10 in the a-MoNi are large (in comparison to the correspond~ng values of - 0 . 0 5 ~ In the

crystalline matenals

Table 2. The distance r. Debye-Waller factor o.

and the c o o r d ~ n a t ~ o n number N of the first shcll of a-Mos0Ni5,, and c-MowNis,.

r(A)

b ( A )

N r(A) a ( A ) N Mo-Mo 2.76 0 0 9 1 2.81 0.05 2 Mo-Ni 2 4 3 0.10 4.7 2.57 0.04 5

NI-Mo 2.59 0.10 3.6 2.65 0.09 1 NI-Ni 2.36 0.09 8.4 2.47 0.1 1 6

The low coord~nation number of

N

-

7 at the first shcll for both Mo and Ni edges and the appearance of the second shell at -3.0A

for the Mo edge in c-MoNi suggest that the bcc-type local short range order prevails In the c-MoNi alloy. In contrast. the absence of the second shell at 3

OA

together with the large coordination number for the Ni edge in a-MoNi suggest that the structure of a-MoNl alloy differs from that of the crystall~ne alloys and may be

descnbed by a more or less dense random packing of binary spheres. This is in harmony w ~ t h the results obtained by X-ray

scattering measurements on many glassy metal-metal alloys, such as Zr70(Pd,Ni.Co.Fe),0'6' and Zr-Cu and Nb-Ni(7'.

The Dcbye-Waller factor decreases with lowering temperatures but

remains high of -0.1oA at 77 K for the amorphous alloys. This

parable to that reported for a - ~ d ~ ~ ~ e ~ ' ~ ' (a-0.1). It is premature

at this point to discuss whether the unlike pair distances ~ M ~ - N ,

show any dccreasc in the amorphous state as commonly observed

for many glassy alloys because factors such as large anharmonicity In o or asymmetry in thc pair distribution function can cause error in the distance determination. For the amorphous systems w ~ t h

large structural disorders a gencrallzed EXAFS formulation must be used.'9) The results will be published elsewhere.

The EXAFS data of Z r - C u glassy alloys are in many features siml- lar to those of the MoNi. Prelim~nary results indicate that the rela-

tive ratio of the c o o r d ~ n a t ~ o n number of Zr-Zr paws to that of Zr-Cu pairs decreases with increas~ng content of Cu.""

We are grateful for the exper~mental opportunity and personnel help at ~ i a n f o r d Synchrotron Radiation Laboratory.

References

[ I ] H. S. Chen. Rep. Prog. Phys 43. 353 (1980).

[21 B. K. Tea, P. A. Lec. A. L. Simons. P. Eisenberger, and B.

M. Kincaid, J Am Chcm. Soc. 99, 3854 (1977)

131 P A. Lec. B. K. Tea, and A. L. Simons, J. Am. Chem. Sac. 99 3856 (1977)

[41 B. K. Teo and P. A. Lee. J. Am. Chem. Sac. 101, 2815 (1979).

151 P. Eisenberger and B. M. Kincaid, Science. 200, 1441 (1978).

I61 Y. Waseda and H. S. Chen. Rapidly Quenched Metals 111,

Val. 2 (London: Metals Society) pp. 415 (1978).

[7] H. S. Chen and Y. Waseda, Phys. Stat. Sol~di (a) 51, 593 (1979).

181 T. M. Hayes, J. W. Allen, J Tauc. B. C. Giesscn and J. J.

Hauscr. Phys. Rev Lett 40, 1282 (1978).

191 (a) G. Brown and P. Eisenberger. Solid State Comm.. 29,

481 (1979); (b) T. M. Hayes. J. B Boycc, and J. L. Beeby,

J Phys., C11, 2931 (1978).

Références

Documents relatifs

and generally unknown, in order to gauge the relevance of solvent contributions in the analysis of small angle scattering data it is useful to compare the

Experimental results obtained by small angle neutron scattering on a two block copolymer PSH-PSD (hydrogenated and deuterated Polystyrene) in a mixture of hydrogenated

4, curve (a)), but with a damping (line width) that must increase towards critical as we approach the critical region. This is an example of a basic idea that there

Nous avons employe une approximation, celle du cr potentiel coherent n, pour construire une equation de transport auto-coherente, et nous avons calcult la

Abstract.- A brief, tutorial survey is presented of the structure of the two-dimensional electron gas formed by electrons in image-potential induced surface states on liquid

Vogelius , Boundary integral formulas for the reconstruction of electromagnetic imperfections of small diameter, ESAIM: Cont.. Volkov, Correction of order three for the expansion of

On the other hand, the experimental determination of S(0) from the structure factor data yields a value of 0.03 at the lowest after a supplementary rough isotropic correction for

To maintain the reflectivity close to unity at glancing angles above the critical angle for total reflection such mirrors consist of alternating layers of a metal of large