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HAL Id: jpa-00213981

https://hal.archives-ouvertes.fr/jpa-00213981

Submitted on 1 Jan 1971

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MAGNETIC AND THERMAL PROPERTIES OF DYSPROSIUM VANADATE

A. Cooke, D. Martin, M. Wells

To cite this version:

A. Cooke, D. Martin, M. Wells. MAGNETIC AND THERMAL PROPERTIES OF DYS- PROSIUM VANADATE. Journal de Physique Colloques, 1971, 32 (C1), pp.C1-488-C1-489.

�10.1051/jphyscol:19711160�. �jpa-00213981�

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PEROVSKITES DE TERRES RARES

MAGNETIC AND THERMAL PROPERTIES OF DYSPROSIUM VANADATE

A. H. COOKE, D. M. MARTIN and M. R. WELLS Clarendon Laboratory, Parks Road, Oxford, England

R6sumB. - Le vanadate de dysprosium est ordonnt d'une facon antiferromagnetique avec une tempkature de NkI

&gale B

3,05 OK.

On a 6tudi6 I'etat antiferromagnetique par des mesures de la susceptibilite et de I'aimantation. On discute les couplages d'khange entre les ions Dy3+, et la structure antiferromagnttique.

Abstract. -

Dysprosium vanadate orders antiferromagnetically with a NteI point of

3.05 OK.

The antiferromagnetic state has been investigated by magnetic moment and magnetic susceptibility measurements. The exchange interactions and possible ordering patterns of the Dy3+ ions are discussed.

The rare earth vanadates, RVO,, crystallize in a tetragonal zircon structure, space group I4,/amd, in which the rare earth configuration is well described by a four nearest-neighbour diamond-like array. We have investigated the magnetic properties of several mem- bers of the series. GdV04 behaves as a simple two- sublattice antiferromagnet, ordering along the tetra- gonal c-axis at 2.5 OK [l]. Preliminary work on TbV04 and ErVO, indicates that these order antiferromagne- tically below 1 OK. HoVO, displays a temperature- independent susceptibility below 4.20K. As already briefly reported by Cooke et al. [2], DyVO, orders antiferromagnetically at 3.0 OK with the ordering axis in the basal plane a-a' of the tetragonal cell. Ordering in this plane is permitted only if the compound has undergone a crystallographic distortion to a symmetry lower than that of the room temperature structure.

Optical and spectroscopic observations on a single crystal cooled to 4.2% confirmed the change of symmetry, and specific heat measurements showed an anomaly at 14.0 OK attributed to the crystallographic transition as well as a lambda-anomaly at 3.07 OK, the NCel point. Further spectroscopic work which has since been reported by Ellis et al. 131 supports the view that the structural distortion is of the Jahn-Teller type, associated with a splitting of a quartet state of the Dy3+ ions into two Kramers doublets.

In this paper we discuss the exchange and magnetic dipole interactions between the ~y~~ ions, and the possible patterns of ordering. Without detailed X-ray analysis on a crystal cooled to liquid helium tempera- tures, we are unable to ascertain the low temperature structure, but we shall assume that it is orthorhombic, since all the results can be indexed within this frame- work, and when we refer to the [loo], [OlO] and [OOI]

axes of the crystal, these correspond to the a, a' and c axes of the original tetragonal cell. We have made magnetic moment and magnetic susceptibility measu- rements on single crystal specimens at temperatures below 4.2 OK, At these temperatures we may assume that only the ground doublet state of the rDy3+ ions is appreciably populated, since the splitting between this state and the excited doublet is estimated to be 27 cm'l [2]. Measurements have been made in fields applied along the [OOl] axis, and in fields applied along directions in the basal plane perpendicular to this axis.

For fields applied along the [OOl] axis, the magnetic susceptibility is small and almost independent of tem- perature, corresponding to a g-value < 1. Although

the crystalline distortion in the basal plane must be quite small, the magnetic properties in this plane are extremely anisotropic, with one principal g-value much higher than the other. Measurements on a crystal whose axes had been determined by X-ray measure- ments at room temperature showed that the axis of high g-value could be either the [l001 or the [OlO]

axis. As already reported

[2],

this anisotropy is liable to be obscured in measurements of bulk magnetic properties, since a crystal cooled below the transition temperature in zero magnetic field is found to be divided into domain-like regions having different magnetic axes. By applying a sufficiently high magnetic field along say the [l001 axis, the crystal can be conver- ted into a single domain, with all the ions having their high g-value along this axis.

Our estimates of the principal g-value in the basal plane are based on magnetic moment measurements on a single crystal in fields up to 25 kOe at 0.5 OK, at which temperature the system may be considered to be fully ordered into sublattices. By applying the maximum field along the [l001 direction the crystal was converted into a single domain

P,

and magnetic moment measurements were made as the field was reduced to zero. A metamagnetic spin-fip

D

transi- tion was observed at a critical field H,

=

2.1 kOe. At this field the magnetic moment changed abruptly from a very small value in low fields to a saturation moment M,

=

52,700 e. m.

U.

per mole, corresponding to a g-value of 18.9. Since the maximum possibleg-value for a doublet belonging to the 6H,,,, state of the

~ y ion is 20, corresponding to ~ + J,

=

k 1512,

g, =

413, the g-values perpendicular to the magnetic axis can be expected to be small, so that the assembly of Dy3+ ions will behave as an Ising-like system. It is difficult to make magnetic measurements in the basal plane in fields perpendicular to the magnetic axis, since application of a field tends to switch this axis to the direction of the field. We therefore made another moment measurement with field along the [l 101 direc- tion. For an Ising system with magnetic moments confined to the [l001 direction, one would expect a metamagnetic transition at a field of f i H, to a satu- ration moment of M,I,/Z, and this was observed.

Figure 1 shows two possible patterns of ordering for the Dy3+ ions, based on the assumption that the magnetic and crystalline unit cells are the same.

Pattern I, in which all nearest neighbours are anti- parallel, is favoured if antiferromagnetic exchange

Article published online by EDP Sciences and available at http://dx.doi.org/10.1051/jphyscol:19711160

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MAGNETIC AND THERMAL PROPERTIES OF DYSPROSIUM VANADATE C 1

-

489

between nearest neighbours is dominant. Pattern I1 is favoured if magnetic dipole interaction predominates, since in this pattern the magnetic dipole field at an ion is 6.85 kOe in the favourable direction, while in pattern I it is 1.03 kOe in the unfavourable direction.

FIG. l . -TWO possible patterns for the antiferromagnetic ordering of dysprosium ions in dysprosium vanadate.

The interpretation of the spin-flip observed at 2.1 kOe differs for the two patterns. For pattern I, spin-flip occurs when the applied field exceeds the exchange and dipole fields at an ion of type 1 due to ions of types 2 and 3. From this we would calcujate that the exchange field at ion 1 due to ions of type 2 and 3 must be 5.38 kOe. On the other hand, for pattern I1 ordering, spin-flip occurs when the applied field exceeds the exchange and dipole fields due to ions of types 2 and 4.

From this we find that the exchange field at ion 1 due to ions of types 2 and 4 is 1.43 kOe. Since ions 1 and 4 are not nearest neighbours, it is plausible to attri- bute the whole of this exchange field to the two ions of type 2. If we write the interaction energy between two ions i and j as Wij

= -

2 Jij S, Sj,, this gives an exchange constant J1,/k

=

- 0.910. If the ordering is of type 11, the spin-flip field gives no information as to the exchange interaction between ions 1 and 3, since their relative orientation is unaltered by the flip.

(There is no reason to expect that it is the same as between ions 1 and 2.) We can however put an upper limit on it, since strong antiferromagnetic exchange between ions 1 and 3 would make pattern 11 unstable

;

this limit is 3.94 kOe, corresponding to J1,/k

= -

2.5O.

A further estimate can be made as follows : From the total energy change associated with the specific heat anomaly at 3.0 OK due to the antiferromagnetic tran- sition, we estimate that at absolute zero each sublattice is subject to an effective field of 8.0 kOe. Under pattern I1 ordering, magnetic dipole interaction ac- counts for 6.85 kOe, leaving an exchange field of 1.15 kOe. Since we estimate that the exchange field at ion 1 due to the type 2 ions is 1.43 kOe, this suggests that the exchange field due to the type 3 ions is small, of the order of 0.3 kOe. No great weight can be placed on this figure however, since it is reached as the diffe- rence of much larger quantities.

Our measurements do not suffice to decide between the two patterns of ordering. Neutron diffraction work should readily settle the question.

References

[l]

CASHION

(J.

D.), COOKE (A. H.), HOEL

(L.

A.), MAR-

TIN (D.

M.) and

WELLS

(M.

R.),

Colloques Internationaux du

CNRS, Les

Elements des Terres Rares,

1969,

No

180,

Tome

11, 417.

[2]

COOKE (A.

H.),

ELLIS (C.

J.),

GEHRING

(K.

A.), LEASK (M.

J.

M.), MARTIN (D.

M.),

WANKLYN

(B. M.),

WELLS

(M.

R.) and

WHITE (R.

L.), Solid State

Communications,

1970, 8, 689.

[3]

ELLIS (C.

J.),

GEHRING

(K.

A.), LEASK

(M. J.

M.)

and WHITE (R.

L.),

J. Physique,

1971,

Paper

presented at this conference.

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