New phase Ho3(Ag0.50-0.52Al0.50-0.48)14Agx (x = 0.67-0.77): crystal structure and magnetic properties Ho3Ag7.67Al7.01 and Ho3Ag8.10Al6.76

Phase analysis and the crystal structure of the compounds has been investigated by means of X-Ray analysis. Magnetic properties of two synthesised compounds were investigated revealing paramagnetic behaviour in whole investigated temperature range.

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New phase Ho3(Ag0.50-0.52Al0.50-0.48)14Agx (x = 0.67-0.77): crystal structure and magnetic properties Ho3Ag7.67Al7.01 and Ho3Ag8.10Al6.76

O. Stelmakhovych1, B. Stelmakhovych1, T. Krachan2, S. Cerna3,

1Ivan Franko National University of Lviv,

Kyryla i Mefodija Str., 6, 79005, Lviv, Ukraine;

2State Agrarian and Engineering University in Podillya, Shevchenka Str., 13, 32300, Kamyanets-Podilskyy, Ukraine;

3Charles University, Ke Karlovu, 5, 12116, Prague, Czech Republic

The crystal structure of the Ho3(Ag0.50-0.52Al0.50-0.48)14Agx compounds (x = 0.67-0.77) has been investigated by means of X-Ray analysis. It adopts DyAg2.4Ak.6-type of structure and crystallizes in the space group P6dmmc. Magnetic properties of two synthesised compounds were investigated revealing paramagnetic behaviour in whole investigated temperature range.

Keywords: Crystal structure, homogeneity range, partial occupation, coordination polyhedra, magnetic properties.

Нова фаза Ho3(Ag0.50-0.52Al0.50-0.48)14Agx (x = 0.67-0.77): кристалічна структура та магнітні властивості Ho3Ag7.67Al7.o1 та Ho3Ag8.1oAl6.76

О. Стельмахович1, Б. Стельмахович1*, Т. Крачан2, С. Черна3,

1 Львівський національний університет імені Івана Франка, вул. Кирила і Мефодія 6,

79005, Львів, Україна;

2Подільський державний аграрно-технічний університет, вул. Шевченка, 13, 32300, Кам'янець-Подільськ, Україна;

3Карловий університет, Ке Карлову, 5, 12116, Прага, Чеська Республіка

Методами рентгеноструктурного та рентгеноспектрального аналізів досліджено кристалічну структуру двох сполук у межах твердого розчину фази Ho3(Ag0,50-0,52Al0,50-0,48)14Agx (x = 0,67-0,77): a = 0,91470(3), c = 0,93860(4) нм для складу Ho3Ag7,67Al7,01, a = 0,91728(3), c = 0,93302(3) нм для складу Ho3Ag8,1цAl6,76. Сполуки належать до структурного типу DyAg2,4Al2,6, просторова група P63/mmc. Синтез проводили методом електродугового сплавляння шихти вихідних компонентів в атмосфері очищеного аргону з наступним гомогенізувальним відпалюванням при 870 К протягом 500 год. у вакуумованих кварцових ампулах. Рентгенофазовий та рентгеноструктурний аналізи проводили за рентгенограмами порошку, отриманими на автоматичному дифрактометрі ДРОН-3М (Cu Ka випромінювання, Ni Я фільтр, режим крокової реєстрації інтенсивностей дифракційної картини, А9 = 0,05 град, час сканування - 20 с в кожній точці). Кількісний склад досліджених зразків додатково підтверджено методом локального рентгеноспектрального аналізу (електронний мікроскоп РЕММА 102-02, як стандарт використали бінарні сполуки HoAg і HoAk). Результати рентгенофазового і рентгеноспектрального аналізу задовільно корелюють. Поміри магнітних властивостей та температурної теплоємкості проводили на магнетометрі Quantum Design PPMS.

Кристалічна структура досліджених сполук є близькоспорідненою до структурних типів EuMg5 і Sc3Ni11Si4 і характеризується частковим заповненям кристалографічних позицій 2a (0 0 0), 2b (0 0 1/4) і 4e (0 0 z) атомами аргентуму, які заповнюють тригонально- та тетрагонально- призматичні пустоти, розташовані вздовж каналу 0Z.

Дослідження магнітних властивостей вказують про парамагнітний характер обох сполук у дослідженій області температур з ефективними магнітними моментами yes = 10,8 gB/Ho (для Ho3Ag7.67Al7.01) і fieff = 10.8 gB/Ho (для Ho3Ag8.10Al6.76), близькими до теоретичного значення 10.61 gB/Ho.

Ключові слова: Кристалічна структура, область гомогенності, часткове заповнення, координаційний многогранник, магнітні властивості.

Introduction

While investigating the phase equilibria diagram of the Ho-Ag-Al system [1], the existence of the ternary Ho(Ago.5Alo.5)5 compound [2] has been confirmed (DyAg2.4Al2.6-type of structure [3], SG P6fmmc). This compound has insignificant homogeneity range with composition ~Hoi7Ag4o-45Al43-38. Isostructural compounds are known in related RE-Ag-Al systems (RE = Y, Pr, Nd, Sm, Gd-Lu) [4]. However crystal structures have been investigated only for the following compounds: YAg2.5Al2.7 [5], NdAg3.26Al1.89 [6], SmAg2.6Ab.5 [4], GdAg2.3Al2.7 [7], and TbAg2.7Al2.5 [8]. All compounds are characterized by insignificant homogeneity ranges, caused by the statistical distribution of smaller atoms (Ag and Al) and partial occupation of several crystallographic sites by Ag atoms [3-11]. A similar type of distribution of smaller atoms (Ag and Al) is observed in other ternary compounds of RE-Ag- Al systems. Partial occupation of crystallographic positions with Ag and/or Al atoms is characteristic of ternary aluminides with Th2Nin- [12] and Yb8CunAl49-type of structure [13].

crystal structure phase magnetic

Materials and Methods

Samples were synthesized by arc melting of the mixtures of initial components using metals of the following purity (wt. %): Ho - 99.7, Ag - 99.9, and Al - 99.95, which was followed by annealing of the alloys in sealed evacuated quartz ampoules at 870 К for 500 h.

Phase analysis and crystal structure investigation were performed by means of X-Ray diffraction methods using DRON-3M diffractometer with Cu Ka radiation. All calculations were performed using WinCSD software [14].

Composition of the compounds was confirmed by means of electron microscopy analysis using scanning electron microscope REMMA 102-02 (binary compounds HoAg and HoAl2 were used as standard samples).

Quantum Design PPMS equipment was used for magnetic studies and heat-capacity measurements. Magnetic measurements were performed in the temperature range 2-300 K and fields up to 14 T. The grains of the sample for magnetic measurement were fixed in random orientation by acetone-soluble glue.

Results and discussion

Crystal structure determination for the samples with the starting compositions of HonAg42Al41 and HonAg4sAl38 using the DyAg2.4Al2.6 (SG P63/mmc) model of structure confirmed that these compounds are isostructural. Conditions and results of the X-Ray investigations are shown in Table 1.

Table 1 Crystallographic data and results of the structure refinement of the Ho3Ag7.67Al7.01 and Ho3Ag8.10Al6.76 compounds

Compounds

Ho3Ag7.67Al7.01

Ho3Ag8.10Al6.76

Structure type

DyAg2.4Al2.6

Space group

P6i/mmc

Lattice parameters, nm

a = 0.91470(3)

a = 0.91728(3)

c = 0.93860(4)

c = 0.93302(3)

Cell volume, nm3

0.68009(7)

0.67988(6)

Number of atoms in cell

35.3

35.6

Calculated density, g/cm3

7.3750(7)

7.5634(7)

Radiation and wavelength, nm

Cu Ka, 1

= 0.154185

Diffractometer

Powder, DRON-3M

Mode of refinement

Full profile

Number of atom sites

8

20max and sin $maxA-

128.5, 0.584

Scale factor

0.6019(2)

0.49804(8)

Ri, Rp

0.068, 0.150

0.083, 0.158

Crystal structure of the compounds is characterized by statistical distribution of Ag and Al atoms in the crystallographic positions and also by the presence of partially occupied sites 2(a), 2(b), and 4(e) (Tables 2, 3). Ultimate calculations lead to the compounds compositions as follows: Ho3(Ag0.50Al0.50)14AgxAgyAgz (x = 0.09, y = 0.31, z = 0.27) and Ho3(Ag0.52Al0.48)14AgxAgyAgz (x = 0.09, y = 0.35, z = 0.33), or Ho3Ag7.67Al7.01 and Ho3Ag8.10Al6.76, respectively.

Ho atoms are located in the centers of 16-vertices polyhedra with mm symmetry (Table 4). The coordination polyhedra of X4-X6 atoms are the icosahedra, which differ from each other by their vertices occupation order and, as a result, by the type of deformation. X7 atoms are located in the centers of 12-vertices polyhedra with one apex alternatively filled by the atom X1 or X2, or one of two X3 atoms. The X1 atoms are located in trigonal prisms with 60° “twisted” parallel triangular sides formed by X7 atoms (Sx1-x7 = 0.2633(2 ) nm). This polyhedron can also be interpreted as tetragonal bipyramid. The distances to six Ho atoms which are centered the triangular sides are much larger (5x1-ho = 0.3903(1) nm).

Table 2

Atomic coordinates and isotropic displacement parameters for Ho3Ag7.67Al7.01

Atoms

WP

Coordinates

У

Biso, *lO2 nm2

Ho(6Ho)

6(h)

0.1968(2)

2x

1/4

1.24(1)

X1(0.18(2) Ag)

2(a)

0

0

0

1.02(2)

X2(0.62(2) Ag)

2(b)

0

0

1/4

0.99(2)

X3(0.53(3) Ag)

4(e)

0

0

0.318(3)

0.98(2)

X4(0.17(4) Ag+3.83(4) Al)

4(f)

1/3

2/3

0.0152(14)

0.91(2)

X5(3.61(5) Ag+2.39(5) Al)

6(g)

1/2

0

0

1.21(2)

X6(1.19(5) Ag+4.81(5) Al)

6(h)

0.5677(5)

2x

1/4

1.13(2)

X7(9.02(7) Ag+2.98(7) Al)

12(k)

0.8432(2)

2x

0.0929(3)

1.17(1)

Table 3

Atomic coordinates and isotropic displacement parameters for Ho3Ag8.10Al6.76

Atoms

WP

X

Coordinates

У z

Biso, * 102 nm2

Ho(6Ho)

6(h)

0.1976(2)

2x

1/4

1.02(1)

X1(0.18(2) Ag)

2(a)

0

0

0

1.00(1)

X2(0.70(2) Ag)

2(b)

0

0

1/4

1.07(1)

X3(0.66(3) Ag)

4(e)

0

0

0.336(3)

1.02(1)

X4(0.52(4) Ag+3.48(4) Al)

4(f)

1/3

2/3

0.0131(12)

0.95((1)

X5(2.76(5) Ag+3.24(5) Al)

6(g)

1/2

0

0

1.09(1)

X6(1.54(5) Ag+4.46(5) Al)

6(h)

0.5690(4)

2x

1/4

1.041)

X7(9.82(7) Ag+2.18(7) Al)

12(k)

0.8434(2)

2x

0.0903(3)

1.02(1)

The X2 and X3 atoms are located in trigonal prisms formed by X7 atoms. Tetragonal sides of the prisms are centered by three Ho atoms. Each of such prisms can be alternatively centered by one X2 atom or one of two X3 atoms. Thus, the peculiarity of the investigated structure is the existence of the void channels, located along 0Z axis (x = 0, y = 0), successively formed by two types of trigonal prisms of X7 atoms. These prisms are connected together by their triangular sides. The unit cell contains one channel, formed by two prisms of X1 atoms and two prisms of X2 (or X3) atoms.

The structures closely related to the DyAg2.4Al2.6 type [3] are the EuMg5 [15] and Sc3NinSi4 [17] structure types with the different type of the 0Z channel occupation by the smaller atoms (Table 5). The authors of Refs. [15-16] repeatedly investigated the crystal structure of the ~EuMg5 compound. It was found that this compound has insignificant homogeneity range, composition of which can be described as E^MgnMg (1< x <1.7). In this structure Mg-atoms occupy the 0Z channels in the same manner as Ag- atoms in the structure of DyAg2.4Al2.6.

The temperature dependence of magnetic susceptibility of the both Ho3Ag7.67Al7.01 and Ho3Ag8.10Al6.76 compounds exhibits the Curie-Weiss behavior with parameters ^eff = 10.8 цв/Ho, 0p = 0.2 K (for Ho3Ag7.67Al7.01) and ^eff = 10.8 цв/Ho, 0p = -1.5 K (for Ho3Ag8.10Al6.76). The effective moment close to the theoretical value 10.61 цв/Ho indicates that both compounds are paramagnetic down to low temperatures. The deviation of susceptibility in 3 and 6 T (Figs. 1-2), which is apparent below T = 50 K, is a natural consequence of Brillouin-type saturation of magnetization related to large Ho moments.

Table 4

Interatomic distances in Ho3Ag7.67Al7.01 and Ho3Ag8.10Al6.76 compounds

Atoms

Ho3Ag7.67Al7.01

Ho3Ag8.10Al6.76

Coordinational polyhedra

a, nm

a, nm

Ho - 2X4

- 1X2

- 2X3

- 4X7

- 2X6

- 2X7

- 4X5

- 2Ho

0.3087(10)

0.3118(2)

0.3184(5)

0.3213(2)

0.3231(5)

0.3280(3)

0.3383(1)

0.3746(2)

0.3088(8)

0.3139(2)

0.3241(6)

0.3233(6)

0.3255(4)

0.3241(3)

0.3375(1)

0.3736(2)

[H02x4ix.2x3ix72x02x-4x.2Hoi

X1 -*X3 -2*X2

- 6X7

- 2*X3

- 6*Ho

0.170(2)

0.23465(1)

0.2633(2)

0.299(2)

0.3903(1)

0.153(2)

0.23326(1)

0.2626(2)

0.314(2)

0.3911(1)

[ХібХ'1

X2 -2*X3 - 2X*1

- 6X7

- 3Ho

0.064(2)

0.23465(1)

0.2890(2)

0.3118(2)

0.081(2)

0.23326(1)

0.2900(2)

0.3139(2)

[26X73H зі

X3- 1*X2

- 1*X3

- 1*X1

- 3X7

- 1*X1

- 3Ho

- 3X7

0.064(2)

0.128(3)

0.170(2)

0.2621(8)

0.299(2)

0.3184(5)

0.3264(15)

0.081(2)

0.161(3)

0.153(2)

0.2580(6)

0.314(2)

0.3241(6)

0.339(2)

[Хз. ШЗНОЗ Х7І

X4 - 3X5

- 3X6

- 3X7

- 3Ho

0.26444(8)

0.2942(12)

0.2975(5)

0.3087(10)

0.26508(6)

0.2904(10)

0.2969(4)

0.3088(8)

Atoms

Ho3Ag7.67Al7.01

Ho3Ag8.10Al6.76

Coordinational polyhedra

a, nm

a, nm

X5 - 2X6

- 2X4

- 4X7

- 4Ho

0.2580(2)

0.26444(8)

0.2858(2)

0.3383(1)

0.2577(2)

0.26508(6)

0.2859(2)

0.3375(1)

[X52X62X44X74Ho]

X6 - 2X5

- 2X6

- 4X7

- 2X4

- 2Ho

0.2580(2)

0.2714(6)

0.2840(4)

0.2942(12)

0.3231(5)

0.2577(2)

0.2688(6)

0.2856(4)

0.2904(10)

0.3255(4)

[X62X52X64X74Ho]

X7 - 1X3

- 1X1

- 2X6

- 2X5

- 1X2

- 1X7

- 1X4

- 2X7

- 2Ho - 1*X3

- 1Ho

0.2621(8)

0.2633(2)

0.2840(4)

0.2858(2)

0.2890(2)

0.2949(4)

0.2975(5)

0.3036(3)

0.3213(2)

0.3264(15)

0.3280(3)

0.2580(6)

0.2626(2)

0.2856(4)

0.2859(2)

0.2900(2)

0.2981(4)

0.2969(4)

0.3004(3)

0.3233(2)

0.339(2)

0.3241(3)

[X71X31X12X62X51X21X71X42X72Ho]

* Alternative positions are shown which mutually exclude the possibility of simultaneous occupation by the atoms in one unit cell

and Ho3Ag8.10Al6.76 measured in pH = 3 and 6 T. The inset shows low temperature part of temperature dependence of magnetic susceptibility measured in various magnetic fields

Fig. 2 Temperature dependence of specific heat of Ho3Ag7.67Al7.01 (in C/T vs. T2 representation) and Ho3Ag8.10Al6.76 (in C/T vs. T2 representation). Low temperature part of specific heat of Ho3Ag8.10Al6.76 measured in various magnetic fields

As strong magnetic fields can modify the magnetic state, fingerprints of magnetic ordering have to be traced out in low fields. Ho3Ag7.67Al7.01 exhibits a cusp in the temperature range 25-30 K (Fig. 1), which indicates an anti-ferromagnetic order. But the fact that the cusp is superimposed on still increasing slope of x(T) is suggestive of extrinsic (impurity) origin of this anomaly, which is progressively suppressed in magnetic field. The other reason is that there is no corresponding anomaly in the temperature dependence of heat capacity (Fig. 2). In the case of Ho there is a high entropy released at the magnetic phase transition (due to J = 8), such transition would have to be reflected in C(T). At low temperatures there is a high contribution of nuclear specific heat for Ho, and the fast increase of C/T vs. T masks possible magnetic entropy released in the T-range below 10 K.

Table 5 Peculiarities of the EuMg5 [13], Sc3NinSi4 [15] and DyAg2.4Al2.6 [3] types of structure

WP

EuMg5

Sc3NiiiSi4

DyAg2.4Al2.6

6h (x 2x 1/4)

4f (1/3 2/3 z)

6g (1/2 0 0)

6h (x 2x 1/4)

12k (x 2x z)

6Eu, x = 0.1951

4Mg, z =0.0031

6Mg

6Mg, x = 0,8385

12Mg, x = 0,8385, z = 0,0900

6Sc, x = 0.1920

4Ni, z = 0.0086

6Si

6Ni, x = 0,5618

12Ni,x = 0,8386, z = 0,0857

6Dy, x = 0.19538

4X*1, z = 0.0131

6X2

6X3, x = 0,5679

12X4, x = 0,8426, z = 0,092

2a (0 0 0)

2b (0 0 1/4)

4e (0 0 z)

2Mg

2Si

1.08Al

0.52Ag

0.67Ag, z = 0.298

X* - statistical mixtures of the Ag and Al atoms.

Ho3Ag8.10Al6.76 has the spurious anomaly at 25-30 K much weaker, but still discernible. Besides that there is a rounded maximum at 5-6 K (Fig. 2). This is most likely intrinsic, reflecting magnetic order round 5 K. In this case there is magnetic entropy below 5 K, which is removed by applied magnetic field. The nuclear specific heat itself cannot be affected by fields of several Tesla at all (Fig. 2).

Conclusions

The crystal structure calculations for the samples with composition of HonAg43Al40 and HonAg45Al38 using the DyAg2.4Al2.6 (SG P63/mmc) model of structure confirmed that these compounds are isostructural. Magnetic susceptibility and heat capacity measurements reveal paramagnetic behaviour for both compounds.

Literature

1. Stelmakhovych B., Zhak O. The Ho-Ag-Al system. // XIII scientific conference “Lviv chemical readings-2011”, H73.

2. Krachan T., Maskovд S., Stelmakhovych O, Stelmakhovych B. Crystal structure and magnetic properties of the Ho6Ag15.32Al14.01 and Ho6Ag16.18Al13.36 compounds // Coll. Abstr. of XIII Intern. Conf. on Crystal Chemistry of Intermetallic Compounds. Lviv (Ukraine). September 25-29. 201. P. 80.

3. Stelmakhovych B., Kuzma Yu. New DyAg2.4Al2.6 compound and its crystal structure // Kristallografiya. 1992. No. 37. P. 1334-1337.

4. Denysyuk O., Stelmakhovych B., Kuzma Yu. Crystal structure of new compounds Ln(Ag0.5Al0.5)5 (Ln-Y, La-Lu) // Izvestiya RAN Metally. 1993. No. 5. P. 213-215.

5. Stel 'makhovych B. M., Gumenyuk T. M., Kuz 'ma, Yu. B. Ternary compounds in the Y- Ag-Al system and their crystal structures // J. of Alloys and Compounds. 2000. No. 298. P. 164-168.

6. Kuzma Yu., Zhak О., Sarapina О. X-Ray investigation of the Nd-Ag-Al system // Izvestiya RAN Metally. 1997. № 2. P. 166-172.

7. Stel'makhovych B., Zhak O., Bilas N., Kuz'ma Yu. The Gd-Ag-Al system // J. of Alloys and Compounds. 2004. Vol. 363. P. 243-248.

8. Gumeniuk R. V., Stel'makhovych B.M., Kuz'ma Yu.B. The Tb-Ag-Al system // J. of Alloys and Compounds. 2001. Vol. 321. P. 132-137.

9. Zhak O.V., Stel'makhovych B.M., Kuz'ma Yu.B. The Sm-Ag-Al system // J. of Alloys and Compounds. 1996. Vol. 237. P. 144-149.

10. Stelmakhovych B., Kuzma Yu. Phase equilibria diagram of the Dy-Ag-Al system at 870 К // Dop. AN Ukrainy. 1994. No. 3. P. 86-89.

11. Gumenyuk T.M., Kuz'ma Yu.B., Stel'makhovych B.M. The Y-Ag-Al system. // J. of Alloys and Compounds. 2000. Vol. 299. P. 213-216.

12. Stelmakhovych B., Kuzma Yu. New compounds with Th2Nin-type structure in the rera erth metal-silver-aluminium systems // Dop. AN Ukrainy. 1991. No. 7. P. 135-137.

13. Tyvanchuk Yu., Stelmakhovych B., Krachan T., Baran S., Szytula A. Crystal structure and magnetic properties of the Gd8Ag19.5Al45.2 and Ho8Ag21.2Al43.3 compounds // J. Phase Transitions (GPHT). 2019. Vol. 92. No. 12. P. 1127-1135.

14. Akselrud L., Grin. Yu. WinCSD: software package for crystallographic calculations (Version 4)// J. Appl. Crystallogr. 2014. Vol. 47. P. 803-805.

15. Mьhlprfordt W. Die Kristallstruktur von MgsEu // Zeitschrift fьr Anorganische und Allgemeine Chemie. 1970. №374. P. 174-185.

16. Mьhlprfordt W. (Eu3Mgi4)Mgx 1.7>x>1. Eine intermetallische Phase mit Kanalstruktur // Zeitschrift fьr Anorganische und Allgemeine Chemie. 1997. No. 623. P. 985-989.

17. Kotur B., Sikirica M., Bodak O., Gladyshevskii E. New compound Sc3NinSi4 and its crystal structure // Kristallografiya 1983. № 28P. 658-661.

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