The influence of the physicochemical state of the particle surface on the interparticle magnetic interaction
in a closepacked system of singledomain microcrystals of highly anisotropic hexaferrite BaFe12O19
has been studied. The efficiency of the used technique of treatment of the particle surface with acid and alkali
solutions has been determined from the data on the Fe3+ ion concentration in the solution and on the
change in the elemental composition in the nearsurface layer. It has been shown that, when the etched
layer thickness is 2.5c (c is the lattice parameter of ferrite), the parameter of the resulting interparticle interaction
changes qualitatively and quantitatively. The technologically accessible technique used allows
the attenuation of the interparticle magnetic interaction in a system of closepacked particles by several
times.
When you are citing the document, use the following link http://essuir.sumdu.edu.ua/handle/123456789/3518

Kamzin, A.S.

Mozul', K.A.

Ol’khovik, L.P.

Shurinova, E.V.

Sizova, Z.I.

Electronic Sumy State University Institutional Repository

PROCEEDINGS OF THE INTERNATIONAL CONFERENCE  NANOMATERIALS: APPLICATIONS AND PROPERTIES Vol. 2 No 2, 02PCN24(3pp) (2013)   2304-1862/2013/2(2)02PCN24(3) 02PCN24-1 Ó 2013 Sumy State University Influence of the BaFe12O19 Crystal Surface on the Interparticle Magnetic Interaction  L.P. Ol’khovik1, Z.I. Sizova1, E.V. Shurinova1,2,*, K.A. Mozul’1,†, A.S. Kamzin3  1 Karazin Kharkiv National University, Svoboda sq. 4, Kharkiv, 61077 Ukraine 2 Ukrainian Engineering Pedagogics Academy, Universitetskaya str.16, Kharkiv, 61003 Ukraine 3 Ioffe Physical_Technical Institute, Russian Academy of Sciences, Politekhnicheskaya str. 26, St. Petersburg, 194021 Russia  (Received 07 June2013; published online 01 September 2013)  The influence of the physicochemical state of the particle surface on the interparticle magnetic interac-tion in a closepacked system of singledomain microcrystals of highly anisotropic hexaferrite BaFe12O19 has been studied. The efficiency of the used technique of treatment of the particle surface with acid and al-kali solutions has been determined from the data on the Fe3+ ion concentration in the solution and on the change in the elemental composition in the nearsurface layer. It has been shown that, when the etched layer thickness is 2.5c (c is the lattice parameter of ferrite), the parameter of the resulting interparticle in-teraction changes qualitatively and quantitatively. The technologically accessible technique used allows the attenuation of the interparticle magnetic interaction in a system of closepacked particles by several times.  Keywords: Interparticle magnetic interaction, Singledomain particles, Oxide ferrimagnet, Surface layer.   PACS numbers: 75.30. Pd; 75.50. Gg.                                                           * giperbola79@mail.ru † monk813@mail.ru 1. INTRODUCTION  The interparticle magnetic interaction is a factor that unpredictably influences the behavior in magnetic field of a real ensemble of particles with a size distribu-tion and a random orientation of the easy magnetiza-tion axes. The study of this problem is substantially hampered by the dependence of the interaction param-eters on the packing density, morphology, degree of particle aggregation, and the particle magnetic state. The problem of interrelation between the interparticle magnetic interaction and surface magnetic properties of particles was studied in [1]. The aim of this work is to elucidate the influence of an open crystal surface and adjacent structural defect layer with so called scanted magnetic structure [2] on the parameter of interparticle magnetic interaction in a packed system of initially disoriented singledomain microcrystals.  2. EXPERIMENTAL TECHNIQUE AND JUSTI-FICATION OF THE CHOICE OF THE OBJECT UNDER INVESTIGATION   According to the known technique [3], the effect of interparticle magnetic interaction is manifested as a deviation of the experimental dependence md = f(mr) from the theoretical dependence    (1)  Relationship (1) is valid for an ensemble of sin-gle_domain noninteracting particles with uniaxial magnetic anisotropy and chaotic orientation of the easy magnetization axes. Along with the above noted limita-tions, the deviation from the linear dependence md = f(mr) can be due to the existence in the system of an impurity in the form of superparamagnetic and (or) multidomain particles and also the effects of incoherent rotation of magnetic moments of ions in an isolated particle. In this connection, it is appropriate to analyze the chosen object under study. Hexagonal ferrite BaFe12O19 is a uniaxial ferriagnet with the easymagnetization axis (easiest for the nano-crystal [4]) directed along the hexagonal c axis [001] [5] independently of the crystal size. The magnetically sta-ble state of the particle in the temperature range under study is provided by the high crystalline magnetic ani-sotropy (KI ≅ 106 erg/cm3 [4]), i.e., small critical super-paramagnetic volume as compared to the real particle volume. Therefore, as the basis object under study, we took the system of lamellar singledomain BaFe12O19 microcrystals  in  which  the  specific  feature  of  the  mag-netic properties, as follows from the analysis, is exclu-sively provided by the surface.  As for the effects of incoherent rotation of the mag-netic moments, they, as known [6], are first due to heterogeneity of the magnetic structure of a small par-ticle. The degree of perturbation of the magnetic struc-ture depends on the ratio of the volumes of the core and the structural_defect near_surface layer with a scanted magnetic structure. The layer thickness in the basal plane of the BaFe12O19 crystal is δ = 3–5 nm at 300 K, and the angle of scanting the magnetic moments with respect to the hexagonal axis c is 〈θ〉 =20° Ѓ} 3° [7]. To perform the quantitative estimation of the degree of heterogeneity of the magnetic structure of the lamellar microcrystals, we used the distribution of particles over the thickness h. As seen from Fig. 1, 〈h〉 = 0.27 μm. In this case, the fractional contribution of the nearsurface layer 2δ/h in the basal (001) planes closing the single crystal is comparatively small and is, on average, ~3% of the total particle volume.  L.P. OL’KHOVIK, Z.I. SIZOVA, E.V. SHURINOVA ET AL. PROC. NAP 2, 02PCN24 (2013)   02PCN24-2   Fig. 1 – Electron microscopy image of particles of the initial BaFe12O19 powder sample and the thickness distribution of the particles. To solve the posed problem, we used three powder ferrite samples with various prehistory of the for-mation of the particle surface. In the initial sample no. 1, the surface of the microcrystals was formed during their crystallization under conditions of deposition from the melt using the water_soluble flux component (BaCl2 ·  2H2O) [8]. It allows the separation of the fer-rite particles from the flux matrix at the final stage of the technological process by washing with distillated water with no damages of it surface, i.e., with no changes of its physicochemical state in the process. Samples nos. 2 and 3 are the barium ferrite whose particles are additionally treated by various aggressive media. Table 1 gives the necessary data on the objects under study.  3. TECHNIQUE FOR ETCHING OF THE SUR-FACE OF MICROCRYSTALS AND ITS EFFI-CIENCY   Since the thickness of the nearsurface layer of the highly anisotropic hexaferrite BaFe12O19 is a relative-ly small, it was necessary to develop the technique of  treatment of the particle surface with aggressive me-dia. In this case, we used the HCl acid solution (pH = 1, 6) for sample no. 2 and the NaOH alkali solution (pH = 9) for sample no. 3. To state the optimal time required for etching a layer with thickness of no more than 3–5 nm and also to analyze the efficiency of this technique, we studied the solubility of the powder samples and determined the elemental composition within the near-surface layer of the particles. To estimate the loss of the Fe3+ ions  as  a  result  of  treatment of the particles were also used the data characterizing the elemental composition of three mi-crocrystalline powder samples with various technologi-cal prehistory (Nos. 1–3) obtained using a scanning electron microscope with an EDX attachment at the Institute of Inorganic Chemistry of the Essen Universi-ty (Germany).  Table 2 – The change of the elemental composition of the surface layer of microcrystals BaFe12O19 by treatment with aggressive media  Sample Treatment The change of ion con-tent, % О2- Fe3+ №2 HCl solution -18 -35 №3 NaOH solution -35 -40  Assuming that the deviation on stoichiometry of the elemental composition of near-surface layer of the micro-crystal is the same as for the macroscopic crystal before treatment, namely, an excess content of oxygen ions (~15%) and a deficit of iron ions (26%) [9], the conclusion can be made as follows. As a result of the treatment, the excess oxygen content is completely removed, and the near-surface layer initially depleted in Fe3+ ions addi-tionally losses almost a half of existing Fe3+ ions. The data obtained allow the prediction of the prop-erties of individual particles of the powder samples under study and also collective effects provided by the interparticle magnetic interaction.  4. DETERMINATION OF THE PARAMETER OF THE INTERPARTICLE MAGNETIC INTER-ACTION  The experimental data were obtained on three powder samples  with  a  packing  factor  of  the  particles  p~ 0.4. Using the method of  Henkel  [10]  and Kelly  [11]  (Fig.  2)  was revealed the presence of interaction, its sign and the intensity of the interaction of the external magnetic field.  The electron microscopy image (Fig. 1) visually con-firms this fact. The powder preliminarily demagnetiz-ing sample clearly contains clusters of particles as rather extended stacks. The formation of similar    Fig. 2 – Kelly plot. The curve numbers correspond to the sample numbers  Table 1 – Information about the objects of research  Sample Composition Technological prehistory <d>, μm <h>, μm Method of obtaining Method of treatment   №1 BaFe12O19 The modified co-precipitation from the melt - 0,86 0,27 №2 --//-- --//-- HCl solution 0,78 0,24 №3 --//-- --//-- NaOH solution     INFLUENCE OF THE BAFE12O19 CRYSTAL SURFACE… PROC. NAP 2, 02PCN24 (2013)   02PCN24-3 clusters of particles is due to both the morphological peculiarities of the particles (lamellar shape) and the uniaxial crystalline magnetic anisotropy (easy magnet-ization axis is perpendicular to the basal plane of the particle). For the samples treated by the acid solution (no. 2) and alkali solution (no. 3) the deviation from the linearity in the plot md = f(mr) is substantially smaller as compared to the initial sample (no. 1). In this case, Δm > 0 for the initial sample over entire range of fields;     Fig. 3 – Temperature dependence of the effect of treatment of BaFe12O19 microcrystals with aggressive media: (1) sample No.  1,  (2)  sample  No.  2;  curves  3' and 3'' correspond to two maxima in curve 3 (Fig. 4) of sample No. 3 on the other hand, the treated samples demonstrate the changes in sign of this parameter: Δm < 0 in sample no. 2, and Δm is sign changing in field in sample no. 3 (Fig.  4).  The  quantity  Δmmax is more indicative. For sample no. 2, |Δmmax| (H = 3.5 kOe) ≅0.2; sample no. 3 demonstrates two maxima: |Δmmax| ≅0.1 in the field H = 1.75 kOe and |Δmmax| ≅ 0.2 in the field H = 4.5 kOe. Thus, the effect of treatment of the particles with aggressive media is the attenuation of the interparticle magnetic interaction (at 300 K, by a factor of more than three). The attenuation of the interaction is observed in the temperature ranges that are of interest from the practical standpoint, namely, technical (300–370 K) and “therapeutic” (310–325 K) (Fig. 3).  5. CONCLUSIONS  The setting up of the experiment, namely, the choice of the object under study and technologies of treatment of the particle surface allowed us for the first time to immediately confirm the determining role of the magnetic moments of ions localized on the particle surface and adjacent structural defect layer in the formation of the interparticle magnetic interaction. The work was done in the framework of the project No. 0112U005918 of MES of Ukraine.   REFERENCES  1. E. Tronc, A. Ezzir, R. Cherkaoui, C. Chaneac, M. Nogues, H. Kachkachi, D. Fiorani, A.M. Testa, J.M. Greneche, J.P. Jolivet, J. Magn. Magn. Mater. 221, 63 (2000). 2. G.S. Krinchik, A.P. Khrebtov, A.A. Askochenskii, V.E. Zubov, JETP Lett. 17 9, 335 (1973). 3. E.P. Wohlfarth, J. Appl. Phys. 29, 595 (1958). 4. S.N. Zinenko, A.A. Murakhovskii, L.P. Ol’khovik, Z.I. Sizova, E.V. Shurinova, A.S. Kamzin, JETP 96 5, 945 (2003). 5. J. Smith, H.P.J. Wijn, Ferrites (Philips Technical Library, Eindhoven, The Netherlands, 1959; Inostrannaya Litera-tura, Moscow, 1962). 6. M.E. Schabes, J. Magn. Magn. Mater. 95, 249 (1991). 7. A.S. Kamzin, B. Stahl, R. Gellert, G. Klingelhofer, E. Kankeleit, L.P. Ol’khovik, and D. Vcherashnii, Phys. Solid State 42 5, 897 (2000). 8. I. Borisov, N.M. Borisova, L.P. Ol’khovik, M.I. Rudenko, S.S. Tserevitinov, UA Patent no. 4 932 383 (November 15, 1994), Byul. “Promislova Vlasnist’”, no. 21 (1994). 9. A.S. Kamzin, V.L. Rozenbaum, L.P. Ol’khovik, E.D. Kovtun, J. Magn. Magn. Mater. 161, 139 (1996). 10. O. Henkel, phys. status solidi 7, 919 (1964). 11. P.E. Kelly, K. O’Grady, P.L. Mayo, R.W. Chantrell, IEEE Trans. Magn. MAG_25 5, 3881 (1989). 12. R. Corradi, E.P. Wohlfart, IEEE Trans. Magn. MAG_14 5, 861 (1978).  

Influence of the BaFe12O19 Crystal Surface on the Interparticle Magnetic Interaction

SocioEconomic Challenges Journal (Sumy State University)

PROCEEDINGS OF THE INTERNATIONAL CONFERENCE  
NANOMATERIALS: APPLICATIONS AND PROPERTIES 
Vol. 2 No 2, 02PCN24(3pp) (2013) 
 
 
2304-1862/2013/2(2)02PCN24(3) 02PCN24-1 Ó 2013 Sumy State University 
Influence of the BaFe12O19 Crystal Surface on the Interparticle Magnetic Interaction 
 
L.P. Ol’khovik1, Z.I. Sizova1, E.V. Shurinova1,2,*, K.A. Mozul’1,†, A.S. Kamzin3 
 
1 Karazin Kharkiv National University, Svoboda sq. 4, Kharkiv, 61077 Ukraine 
2 Ukrainian Engineering Pedagogics Academy, Universitetskaya str.16, Kharkiv, 61003 Ukraine 
3 Ioffe Physical_Technical Institute, Russian Academy of Sciences, Politekhnicheskaya str. 26, St. Petersburg, 
194021 Russia 
 
(Received 07 June2013; published online 01 September 2013) 
 
The influence of the physicochemical state of the particle surface on the interparticle magnetic interac-
tion in a closepacked system of singledomain microcrystals of highly anisotropic hexaferrite BaFe12O19 
has been studied. The efficiency of the used technique of treatment of the particle surface with acid and al-
kali solutions has been determined from the data on the Fe3+ ion concentration in the solution and on the 
change in the elemental composition in the nearsurface layer. It has been shown that, when the etched 
layer thickness is 2.5c (c is the lattice parameter of ferrite), the parameter of the resulting interparticle in-
teraction changes qualitatively and quantitatively. The technologically accessible technique used allows 
the attenuation of the interparticle magnetic interaction in a system of closepacked particles by several 
times. 
 
Keywords: Interparticle magnetic interaction, Singledomain particles, Oxide ferrimagnet, Surface layer. 
 
 PACS numbers: 75.30. Pd; 75.50. Gg. 
 
 
                                                        
* giperbola79@mail.ru 
† monk813@mail.ru 
1. INTRODUCTION 
 
The interparticle magnetic interaction is a factor 
that unpredictably influences the behavior in magnetic 
field of a real ensemble of particles with a size distribu-
tion and a random orientation of the easy magnetiza-
tion axes. The study of this problem is substantially 
hampered by the dependence of the interaction param-
eters on the packing density, morphology, degree of 
particle aggregation, and the particle magnetic state. 
The problem of interrelation between the interparticle 
magnetic interaction and surface magnetic properties 
of particles was studied in [1]. 
The aim of this work is to elucidate the influence of 
an open crystal surface and adjacent structural defect 
layer with so called scanted magnetic structure [2] on 
the parameter of interparticle magnetic interaction in a 
packed system of initially disoriented singledomain 
microcrystals. 
 
2. EXPERIMENTAL TECHNIQUE AND JUSTI-
FICATION OF THE CHOICE OF THE OBJECT 
UNDER INVESTIGATION  
 
According to the known technique [3], the effect of 
interparticle magnetic interaction is manifested as a 
deviation of the experimental dependence md = f(mr) 
from the theoretical dependence 
 
  (1) 
 
Relationship (1) is valid for an ensemble of sin-
gle_domain noninteracting particles with uniaxial 
magnetic anisotropy and chaotic orientation of the easy 
magnetization axes. Along with the above noted limita-
tions, the deviation from the linear dependence 
md = f(mr) can be due to the existence in the system of 
an impurity in the form of superparamagnetic and (or) 
multidomain particles and also the effects of incoherent 
rotation of magnetic moments of ions in an isolated 
particle. In this connection, it is appropriate to analyze 
the chosen object under study. 
Hexagonal ferrite BaFe12O19 is a uniaxial ferriagnet 
with the easymagnetization axis (easiest for the nano-
crystal [4]) directed along the hexagonal c axis [001] [5] 
independently of the crystal size. The magnetically sta-
ble state of the particle in the temperature range under 
study is provided by the high crystalline magnetic ani-
sotropy (KI ≅ 106 erg/cm3 [4]), i.e., small critical super-
paramagnetic volume as compared to the real particle 
volume. Therefore, as the basis object under study, we 
took the system of lamellar singledomain BaFe12O19 
microcrystals  in  which  the  specific  feature  of  the  mag-
netic properties, as follows from the analysis, is exclu-
sively provided by the surface.  
As for the effects of incoherent rotation of the mag-
netic moments, they, as known [6], are first due to 
heterogeneity of the magnetic structure of a small par-
ticle. The degree of perturbation of the magnetic struc-
ture depends on the ratio of the volumes of the core and 
the structural_defect near_surface layer with a scanted 
magnetic structure. The layer thickness in the basal 
plane of the BaFe12O19 crystal is δ = 3–5 nm at 300 K, 
and the angle of scanting the magnetic moments with 
respect to the hexagonal axis c is 〈θ〉 =20° Ѓ} 3° [7]. To 
perform the quantitative estimation of the degree of 
heterogeneity of the magnetic structure of the lamellar 
microcrystals, we used the distribution of particles over 
the thickness h. As seen from Fig. 1, 〈h〉 = 0.27 μm. In 
this case, the fractional contribution of the nearsurface 
layer 2δ/h in the basal (001) planes closing the single 
crystal is comparatively small and is, on average, ~3% 
of the total particle volume. 
 
L.P. OL’KHOVIK, Z.I. SIZOVA, E.V. SHURINOVA ET AL. PROC. NAP 2, 02PCN24 (2013) 
 
 
02PCN24-2 
 
 
Fig. 1 – Electron microscopy image of particles of the initial 
BaFe12O19 powder sample and the thickness distribution of 
the particles. 
To solve the posed problem, we used three powder 
ferrite samples with various prehistory of the for-
mation of the particle surface. In the initial sample no. 
1, the surface of the microcrystals was formed during 
their crystallization under conditions of deposition from 
the melt using the water_soluble flux component 
(BaCl2 ·  2H2O) [8]. It allows the separation of the fer-
rite particles from the flux matrix at the final stage of 
the technological process by washing with distillated 
water with no damages of it surface, i.e., with no 
changes of its physicochemical state in the process. 
Samples nos. 2 and 3 are the barium ferrite whose 
particles are additionally treated by various aggressive 
media. Table 1 gives the necessary data on the objects 
under study. 
 
3. TECHNIQUE FOR ETCHING OF THE SUR-
FACE OF MICROCRYSTALS AND ITS EFFI-
CIENCY  
 
Since the thickness of the nearsurface layer of the 
highly anisotropic hexaferrite BaFe12O19 is a relative-
ly small, it was necessary to develop the technique of  
treatment of the particle surface with aggressive me-
dia. In this case, we used the HCl acid solution (pH = 1, 
6) for sample no. 2 and the NaOH alkali solution (pH = 
9) for sample no. 3. To state the optimal time required 
for etching a layer with thickness of no more than 3–5 
nm and also to analyze the efficiency of this technique, 
we studied the solubility of the powder samples and 
determined the elemental composition within the near-
surface layer of the particles. 
To estimate the loss of the Fe3+ ions  as  a  result  of  
treatment of the particles were also used the data 
characterizing the elemental composition of three mi-
crocrystalline powder samples with various technologi-
cal prehistory (Nos. 1–3) obtained using a scanning 
electron microscope with an EDX attachment at the 
Institute of Inorganic Chemistry of the Essen Universi-
ty (Germany). 
 
Table 2 – The change of the elemental composition of the 
surface layer of microcrystals BaFe12O19 by treatment with 
aggressive media 
 
Sample Treatment 
The change of ion con-
tent, % 
О2- Fe3+ 
№2 HCl solution -18 -35 
№3 NaOH solution -35 -40 
 
Assuming that the deviation on stoichiometry of the 
elemental composition of near-surface layer of the micro-
crystal is the same as for the macroscopic crystal before 
treatment, namely, an excess content of oxygen ions 
(~15%) and a deficit of iron ions (26%) [9], the conclusion 
can be made as follows. As a result of the treatment, the 
excess oxygen content is completely removed, and the 
near-surface layer initially depleted in Fe3+ ions addi-
tionally losses almost a half of existing Fe3+ ions. 
The data obtained allow the prediction of the prop-
erties of individual particles of the powder samples 
under study and also collective effects provided by the 
interparticle magnetic interaction. 
 
4. DETERMINATION OF THE PARAMETER OF 
THE INTERPARTICLE MAGNETIC INTER-
ACTION 
 
The experimental data were obtained on three powder 
samples  with  a  packing  factor  of  the  particles  p~ 0.4. 
Using the method of  Henkel  [10]  and Kelly  [11]  (Fig.  2)  
was revealed the presence of interaction, its sign and the 
intensity of the interaction of the external magnetic field.  
The electron microscopy image (Fig. 1) visually con-
firms this fact. The powder preliminarily demagnetiz-
ing sample clearly contains clusters of particles as 
rather extended stacks. The formation of similar 
 
 
 
Fig. 2 – Kelly plot. The curve numbers correspond to the 
sample numbers 
 
Table 1 – Information about the objects of research 
 
Sample Composition 
Technological prehistory <d>, μm <h>, μm 
Method of obtaining Method of treatment   
№1 BaFe12O19 The modified co-precipitation from the melt - 0,86 0,27 
№2 --//-- --//-- HCl solution 0,78 0,24 
№3 --//-- --//-- NaOH solution   
 
 
INFLUENCE OF THE BAFE12O19 CRYSTAL SURFACE… PROC. NAP 2, 02PCN24 (2013) 
 
 
02PCN24-3 
clusters of particles is due to both the morphological 
peculiarities of the particles (lamellar shape) and the 
uniaxial crystalline magnetic anisotropy (easy magnet-
ization axis is perpendicular to the basal plane of the 
particle). For the samples treated by the acid solution 
(no. 2) and alkali solution (no. 3) the deviation from the 
linearity in the plot md = f(mr) is substantially smaller 
as compared to the initial sample (no. 1). In this case, 
Δm > 0 for the initial sample over entire range of fields;  
 
 
 
Fig. 3 – Temperature dependence of the effect of treatment of 
BaFe12O19 microcrystals with aggressive media: (1) sample 
No.  1,  (2)  sample  No.  2;  curves  3' and 3'' correspond to two 
maxima in curve 3 (Fig. 4) of sample No. 3 
on the other hand, the treated samples demonstrate 
the changes in sign of this parameter: Δm < 0 in sample 
no. 2, and Δm is sign changing in field in sample no. 3 
(Fig.  4).  The  quantity  Δmmax is more indicative. For 
sample no. 2, |Δmmax| (H = 3.5 kOe) ≅0.2; sample no. 3 
demonstrates two maxima: |Δmmax| ≅0.1 in the field 
H = 1.75 kOe and |Δmmax| ≅ 0.2 in the field 
H = 4.5 kOe. 
Thus, the effect of treatment of the particles with 
aggressive media is the attenuation of the interparticle 
magnetic interaction (at 300 K, by a factor of more than 
three). The attenuation of the interaction is observed in 
the temperature ranges that are of interest from the 
practical standpoint, namely, technical (300–370 K) 
and “therapeutic” (310–325 K) (Fig. 3). 
 
5. CONCLUSIONS 
 
The setting up of the experiment, namely, the 
choice of the object under study and technologies of 
treatment of the particle surface allowed us for the first 
time to immediately confirm the determining role of 
the magnetic moments of ions localized on the particle 
surface and adjacent structural defect layer in the 
formation of the interparticle magnetic interaction. 
The work was done in the framework of the 
project No. 0112U005918 of MES of Ukraine. 
 
 
REFERENCES 
 
1. E. Tronc, A. Ezzir, R. Cherkaoui, C. Chaneac, M. Nogues, 
H. Kachkachi, D. Fiorani, A.M. Testa, J.M. Greneche, 
J.P. Jolivet, J. Magn. Magn. Mater. 221, 63 (2000). 
2. G.S. Krinchik, A.P. Khrebtov, A.A. Askochenskii, 
V.E. Zubov, JETP Lett. 17 9, 335 (1973). 
3. E.P. Wohlfarth, J. Appl. Phys. 29, 595 (1958). 
4. S.N. Zinenko, A.A. Murakhovskii, L.P. Ol’khovik, 
Z.I. Sizova, E.V. Shurinova, A.S. Kamzin, JETP 96 5, 945 
(2003). 
5. J. Smith, H.P.J. Wijn, Ferrites (Philips Technical Library, 
Eindhoven, The Netherlands, 1959; Inostrannaya Litera-
tura, Moscow, 1962). 
6. M.E. Schabes, J. Magn. Magn. Mater. 95, 249 (1991). 
7. A.S. Kamzin, B. Stahl, R. Gellert, G. Klingelhofer, 
E. Kankeleit, L.P. Ol’khovik, and D. Vcherashnii, Phys. 
Solid State 42 5, 897 (2000). 
8. I. Borisov, N.M. Borisova, L.P. Ol’khovik, M.I. Rudenko, 
S.S. Tserevitinov, UA Patent no. 4 932 383 (November 15, 
1994), Byul. “Promislova Vlasnist’”, no. 21 (1994). 
9. A.S. Kamzin, V.L. Rozenbaum, L.P. Ol’khovik, 
E.D. Kovtun, J. Magn. Magn. Mater. 161, 139 (1996). 
10. O. Henkel, phys. status solidi 7, 919 (1964). 
11. P.E. Kelly, K. O’Grady, P.L. Mayo, R.W. Chantrell, IEEE 
Trans. Magn. MAG_25 5, 3881 (1989). 
12. R. Corradi, E.P. Wohlfart, IEEE Trans. Magn. MAG_14 5, 
861 (1978). 
 


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Influence of the BaFe12O19 Crystal Surface on the Interparticle Magnetic Interaction

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