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Sintered microstructure effect on RF-wave shielding properties of a Cu-doped Ni–Zn-polycrystalline ferrite
Efecto de la microestructura de la pieza sinterizada sobre la absorción del blindaje en una ferrita policristalina de Ni-Zn dopada con Cu en el rango de la radiofrecuencia (RF)
Carolina Clausell-Terola,
Corresponding author
cclausel@uji.es

Corresponding author.
, Antonio Barba-Juana, Luis Nuñob
a Instituto Universitario de Tecnología Cerámica (IUTC), Departamento de Ingeniería Química, Universitat Jaume I, 12071, Castellón, Spain
b Departamento de Comunicaciones, Universidad Politécnica de Valencia, 46022, Valencia, Spain
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    "textoCompleto" => "<span class="elsevierStyleSections"><span id="sec0005" class="elsevierStyleSection elsevierViewall"><span class="elsevierStyleSectionTitle" id="sect0030">Introduction</span><p id="par0005" class="elsevierStylePara elsevierViewall">The current high technological level of our society has made the electromagnetic interference &#40;EMI&#41; between electronic devices a serious problem <a class="elsevierStyleCrossRefs" href="#bib0220">&#91;1&#8211;5&#93;</a>&#46; This kind of pollution can lead not only to serious disturbance or damage to electronic equipment but also to human health aspects <a class="elsevierStyleCrossRef" href="#bib0245">&#91;6&#93;</a>&#46; One of the most extended uses of ferrites is as a shielding material for electromagnetic interference &#40;EMI&#41; suppression&#44; absorbing the unwanted electromagnetic signals that perturbs the normal operation of electronic devices <a class="elsevierStyleCrossRef" href="#bib0250">&#91;7&#93;</a>&#46; The ferrites used in EMI applications are classified into two generic types&#58; NiZn and MnZn-ferrites&#46; Among these&#44; NiZn-ferrites &#40;most of them Cu-doped&#41; are the most broadly used since the frequencies for many EMI suppression applications are in the higher MHz band <a class="elsevierStyleCrossRefs" href="#bib0250">&#91;7&#44;8&#93;</a>&#46;</p><p id="par0010" class="elsevierStylePara elsevierViewall">In order to obtain bulk bodies&#44; particulate ferrites must be processed&#46; As found in literature&#44; there are mainly two types of bulk bodies&#58; ferrite composite materials &#40;in which ferrite particles are embedded in a binder matrix&#41; <a class="elsevierStyleCrossRef" href="#bib0260">&#91;9&#93;</a> and sintered ferrites &#40;in which ferrite particle are processed as any other ceramic material&#44; including forming and sintering stages at relatively high temperature&#41; <a class="elsevierStyleCrossRef" href="#bib0255">&#91;8&#93;</a>&#46; In both cases&#44; magnetic properties depend on chemical composition &#40;stoichiometry&#41; and on microstructure &#40;mainly grain size and relative density&#41;&#46; Indeed&#44; final properties can be disrupted due to impurity content and&#47;or heterogeneous final microstructure&#46;</p><p id="par0015" class="elsevierStylePara elsevierViewall">To consider a soft Ni&#8211;Zn ferrite a shielding material the reflection-loss absolute value RL should be above 35<span class="elsevierStyleHsp" style=""></span>dB&#46; Different studies have been undertaken to explore the shielding properties of Ni&#8211;Zn ferrites in RF range&#46; Some has been focused on the effect of chemical composition on the attenuation properties&#44; as Ruiz et al&#46; <a class="elsevierStyleCrossRef" href="#bib0265">&#91;10&#93;</a> who analyzed the effect of Cu content in a Cu<span class="elsevierStyleInf"><span class="elsevierStyleItalic">x</span></span>Ni<span class="elsevierStyleInf">0&#46;4&#8722;<span class="elsevierStyleItalic">x</span></span>Zn<span class="elsevierStyleInf">0&#46;6</span>Fe<span class="elsevierStyleInf">2</span>O<span class="elsevierStyleInf">4</span> ferrite observing an optimum attenuation for <span class="elsevierStyleItalic">x</span><span class="elsevierStyleHsp" style=""></span>&#61;<span class="elsevierStyleHsp" style=""></span>0&#46;2&#44; or Leal et al&#46; <a class="elsevierStyleCrossRef" href="#bib0270">&#91;11&#93;</a> who found that the best performance of electromagnetic absorption in the X-band was presented by the sintered NiZnCu ferrite with 0&#46;3<span class="elsevierStyleHsp" style=""></span>mol of Cu&#44; with 99&#46;8&#37; attenuation in the 11&#46;5<span class="elsevierStyleHsp" style=""></span>GHz frequency&#44; thus confirming its efficiency and great potential to be applied as a narrowband electromagnetic radiation absorber material&#46; In the same way&#44; Ma and coworkers <a class="elsevierStyleCrossRef" href="#bib0275">&#91;12&#93;</a> studied the influence of different metal ions on the absorption properties of nano Ni&#8211;Zn ferrites concluding that the increasing of Co<span class="elsevierStyleSup">2&#43;</span> dopant rise the bandwidth of the absorber and improve the performance of the materials in the GHz low frequency&#46; Same conclusion was achieved with 0&#46;15 Cu<span class="elsevierStyleSup">2&#43;</span> dopant addition&#44; but&#44; on the contrary&#44; Mn<span class="elsevierStyleSup">2&#43;</span> additions were found to decrease the absorbance performance&#46;</p><p id="par0020" class="elsevierStylePara elsevierViewall">Most of the literature about shielding NiZn ferrite materials are focused on ferrite-polymer composites <a class="elsevierStyleCrossRefs" href="#bib0280">&#91;13&#8211;15&#93;</a> studying&#44; either the effect of the particle size <a class="elsevierStyleCrossRefs" href="#bib0295">&#91;16&#44;17&#93;</a> and the dopant used on the ferrite <a class="elsevierStyleCrossRefs" href="#bib0285">&#91;14&#44;17&#93;</a>&#44; or the influence of the ferrite ratio in the formulated composite on the electromagnetic properties and microwave-absorbing characteristics <a class="elsevierStyleCrossRef" href="#bib0260">&#91;9&#93;</a>&#46; However&#44; the effect of sintered microstructure of the ferrite on the shielding properties of the Ni&#8211;Zn ferrites remains elusive and in-depth analyses cannot be found in the literature&#46; Thus&#44; the aim of this paper is to conduct a systematic research to study the possible relationships among the main microstructural parameters &#40;i&#46;e&#46;&#44; relative density &#981; and average grain size &#40;<span class="elsevierStyleItalic">G</span>&#41;&#41; and the electromagnetic and absorption properties of polycrystalline Cu-doped Ni&#8211;Zn ferrites&#44; obtained by the traditional ceramic route&#44; in the 1<span class="elsevierStyleHsp" style=""></span>MHz to 1<span class="elsevierStyleHsp" style=""></span>GHz frequency range&#44; as outlined in the abstract summary of the experimental procedure shown in <a class="elsevierStyleCrossRef" href="#fig0005">Fig&#46; 1</a>&#46;</p><elsevierMultimedia ident="fig0005"></elsevierMultimedia></span><span id="sec0010" class="elsevierStyleSection elsevierViewall"><span class="elsevierStyleSectionTitle" id="sect0035">Experimental procedure</span><span id="sec0015" class="elsevierStyleSection elsevierViewall"><span class="elsevierStyleSectionTitle" id="sect0040">Preparation of ferrite</span><p id="par0025" class="elsevierStylePara elsevierViewall">As in previous publications <a class="elsevierStyleCrossRefs" href="#bib0305">&#91;18&#44;19&#93;</a>&#44; a polycrystalline spray-dried ferrite granules of chemical composition &#40;Cu<span class="elsevierStyleInf">0&#46;12</span>Ni<span class="elsevierStyleInf">0&#46;23</span>Zn<span class="elsevierStyleInf">0&#46;65</span>&#41;Fe<span class="elsevierStyleInf">2</span>O<span class="elsevierStyleInf">4</span> &#40;supplied by Fair-Rite Products Corp&#46;&#41; was used as raw material&#46; The ferrite granules had an average size of 175<span class="elsevierStyleHsp" style=""></span>&#956;m&#44; made up of ferrite particles with an average size of 1&#8211;2<span class="elsevierStyleHsp" style=""></span>&#956;m and a narrow particle-size distribution &#40;around 4<span class="elsevierStyleHsp" style=""></span>&#956;m&#41;&#46; True density of the ferrite powder was experimentally determined on a helium pycnometer to be 5380<span class="elsevierStyleHsp" style=""></span>kg&#47;m<span class="elsevierStyleSup">3</span>&#46; The granules were used to form cylindrical and toroidal test specimens &#40;3<span class="elsevierStyleHsp" style=""></span>mm thick and 19<span class="elsevierStyleHsp" style=""></span>mm in external diameter for both specimens and 6<span class="elsevierStyleHsp" style=""></span>mm internal diameter for the toroidal ones&#41;&#44; by uniaxial pressing at 50&#44; 75&#44; 100&#44; 150&#44; 200 and 300<span class="elsevierStyleHsp" style=""></span>MPa&#46; The specimens were sintered in air in an electric laboratory kiln at ten peak sintering temperatures &#40;900&#176;&#44; 950&#176;&#44; 975&#176;&#44; 1000&#176;&#44; 1025&#176;&#44; 1050&#176;&#44; 1075&#176;&#44; 1100&#176;&#44; 1150&#176; and 1200<span class="elsevierStyleHsp" style=""></span>&#176;C&#41; and different dwell times &#40;up to 30<span class="elsevierStyleHsp" style=""></span>h&#41;&#44; using the following thermal cycle&#58; &#40;i&#41; Preheating stage &#40;burnout of organic additives used in the compaction stage&#41;&#58; 2<span class="elsevierStyleHsp" style=""></span>h dwell at a peak temperature of 500<span class="elsevierStyleHsp" style=""></span>&#176;C&#46; &#40;ii&#41; Densification and grain-growth stage&#58; heating at a rate of 12<span class="elsevierStyleHsp" style=""></span>&#176;C&#47;min to peak sintering temperature &#40;hereafter sintering temperature&#41;&#44; and dwell at this temperature for a given time &#40;hereafter sintering time&#41;&#46; &#40;iii&#41; Cooling stage&#58; cooling was performed&#44; from sintering to room temperature&#44; at a rate of 20<span class="elsevierStyleHsp" style=""></span>&#176;C&#47;min&#46; The initial point &#40;0&#46;0<span class="elsevierStyleHsp" style=""></span>h&#41; corresponds to the non-isothermal heating time required to reach each tested sintering temperature from room temperature&#46;</p><p id="par0030" class="elsevierStylePara elsevierViewall">Summing up&#44; six compaction pressures &#40;<span class="elsevierStyleItalic">P</span>&#41;&#44; ten sintering temperatures &#40;<span class="elsevierStyleItalic">T</span>&#41; and eleven sintering times &#40;<span class="elsevierStyleItalic">t</span>&#41; were tested &#40;<a class="elsevierStyleCrossRef" href="#sec0045">see Supplementary Tables 1&#8211;10</a>&#41;&#44; leading into 660 different final microstructures of the studied ferrite&#44; which have allowed to obtain a wide range of characteristic microstructure parameters&#58; relative density &#981; and average grain size <span class="elsevierStyleItalic">G</span> &#40;see <a class="elsevierStyleCrossRef" href="#fig0005">Fig&#46; 1</a>&#41;&#46;</p></span><span id="sec0020" class="elsevierStyleSection elsevierViewall"><span class="elsevierStyleSectionTitle" id="sect0045">Physical characterization of ferrite</span><p id="par0035" class="elsevierStylePara elsevierViewall">Bulk density was determined by the Archimedes method and relative density &#40;&#981;&#41; of each specimen was calculated as the quotient of bulk density to theoretical density &#40;5380<span class="elsevierStyleHsp" style=""></span>kg&#47;m<span class="elsevierStyleSup">3</span>&#41;&#46; Average grain size &#40;<span class="elsevierStyleItalic">G</span>&#41; was obtained from the grain size distribution&#44; which was determined by image analysis of the cross-sectional area of the rectangular thermal etched surface of each cylindrical test specimen&#44; observed by scanning electron microscopy &#40;SEM&#41; &#40;see <a class="elsevierStyleCrossRef" href="#fig0010">Fig&#46; 2</a> and <a class="elsevierStyleCrossRef" href="#sec0045">Supplementary Figs&#46; 1 and 2</a>&#41;&#46; Image processing was performed with the image analyser software ImageJ&#46; For the characterization of each sample more than 1000 grains were measured&#46; The grain&#39;s irregular area was determined by the &#8220;Analyze particles function&#8221;&#44; and the diameter was calculated assuming that all grains were spherical&#46; Grain size distributions were obtained by representing the accumulated frequency vs diameter&#44; where <span class="elsevierStyleItalic">G</span> is the grain diameter at which 50&#37; of the grains in area are smaller&#46;</p><elsevierMultimedia ident="fig0010"></elsevierMultimedia></span><span id="sec0025" class="elsevierStyleSection elsevierViewall"><span class="elsevierStyleSectionTitle" id="sect0050">Measurement of microwave-absorbing behavior of ferrite</span><p id="par0040" class="elsevierStylePara elsevierViewall">The measurement of &#949;&#8242;&#44; &#949;&#8243;&#44; &#956;&#8242; and &#956;&#8243; versus frequency were determined on an Agilent E4991A RF impedance&#47;material analyser&#44; in a frequency range of 1<span class="elsevierStyleHsp" style=""></span>MHz to 1<span class="elsevierStyleHsp" style=""></span>GHz&#44; using an Agilent 16454A magnetic and 16453A dielectric material test fixture fixtures&#46;</p><p id="par0045" class="elsevierStylePara elsevierViewall">The absorbing characteristics can be represented as the reflection-loss RL<a class="elsevierStyleCrossRefs" href="#bib0300">&#91;17&#44;20&#93;</a>&#58;<elsevierMultimedia ident="eq0005"></elsevierMultimedia><elsevierMultimedia ident="eq0010"></elsevierMultimedia>where Zin is the normalized input impedance relating to the impedance free space Z0&#61;&#956;0&#47;&#949;0&#61;120&#960;&#937;&#44; &#949;r&#61;&#949;&#8242;&#8722;j&#949;&#8243; is the complex relative permittivity of the material&#44; &#956;r&#61;&#956;&#8242;&#8722;j&#956;&#8243; is the complex relative permeability of the material&#44; <span class="elsevierStyleItalic">d</span> is the thickness of the ceramic absorber&#44; <span class="elsevierStyleItalic">c</span><span class="elsevierStyleInf">0</span> the velocity of light in free space &#40;&#8776;3<span class="elsevierStyleHsp" style=""></span>&#215;<span class="elsevierStyleHsp" style=""></span>10<span class="elsevierStyleSup">8</span><span class="elsevierStyleHsp" style=""></span>m&#47;s&#41; and <span class="elsevierStyleItalic">f</span> the frequency&#46;</p><p id="par0050" class="elsevierStylePara elsevierViewall">The impedance-matching condition representing the perfectly absorbing properties is given by Zin&#61;1&#46; This condition is satisfied at a particular matching thickness dm and a matching frequency fm&#44; where minimum reflection-loss RL occurs&#46; The impedance matching conditions is determined by the combinations of six parameters &#949;&#8242;&#44; &#949;&#8243;&#44; &#956;&#8242;&#44; &#956;&#8243;&#44; fm and dm Also knowing the &#949;r and &#956;r&#44; the RL value versus frequency can be evaluated at a specified thickness&#46;</p></span></span><span id="sec0030" class="elsevierStyleSection elsevierViewall"><span class="elsevierStyleSectionTitle" id="sect0055">Results and discussion</span><p id="par0055" class="elsevierStylePara elsevierViewall">Sintered microstructural parameters&#44; that is relative density &#981; and average grain size <span class="elsevierStyleItalic">G</span>&#44; of the 660 sintered Cu-doped Ni&#8211;Zn-polycrystalline ferrite specimens are shown in <a class="elsevierStyleCrossRef" href="#sec0045">Supplementary Tables 1&#8211;10</a>&#46; The scanning electron micrographs of the polished and etched cross-section areas of the sintered specimens at the six uniaxial pressures tested are shown in <a class="elsevierStyleCrossRef" href="#fig0010">Fig&#46; 2</a>&#46; The effect of sintering temperature and sintering time on the final microstructure of the sintered specimens are shown in <a class="elsevierStyleCrossRef" href="#sec0045">Supplementary Figs&#46; 1 and 2</a>&#44; respectively&#46;</p><p id="par0060" class="elsevierStylePara elsevierViewall">The frequency dependences of complex relative permeability &#956;r&#61;&#956;&#8242;&#8722;j&#956;&#8243;&#44; complex relative permittivity &#949;r&#61;&#949;&#8242;&#8722;j&#949;&#8243; and reflection-loss RL for the Cu doped-NiZn polycrystalline ferrite are presented in <a class="elsevierStyleCrossRefs" href="#fig0015">Figs&#46; 3&#8211;5</a>&#46; Effects of pressing pressure <span class="elsevierStyleItalic">P</span>&#44; sintering temperature <span class="elsevierStyleItalic">T</span> and sintering time <span class="elsevierStyleItalic">t</span> are shown in each figure in panels &#40;a&#41;&#44; &#40;b&#41; and &#40;c&#41;&#44; respectively&#46;</p><elsevierMultimedia ident="fig0015"></elsevierMultimedia><elsevierMultimedia ident="fig0020"></elsevierMultimedia><elsevierMultimedia ident="fig0025"></elsevierMultimedia><p id="par0065" class="elsevierStylePara elsevierViewall">The real part &#956;&#8242; of complex permeability decreases with increasing frequency in all cases&#46; The pressing pressure <span class="elsevierStyleItalic">P</span> effect is shown in <a class="elsevierStyleCrossRef" href="#fig0015">Fig&#46; 3</a>&#40;a&#41;&#46; Data indicate that the &#956;&#8242; values rapidly decreased from 10<span class="elsevierStyleSup">6</span> to 10<span class="elsevierStyleSup">8</span><span class="elsevierStyleHsp" style=""></span>Hz&#44; tending to zero from this frequency value&#46; The six tested pressing pressures are quite similar but the &#956;&#8242; values slightly increase with increasing <span class="elsevierStyleItalic">P</span> in the low frequency range &#40;below 10<span class="elsevierStyleSup">7</span><span class="elsevierStyleHsp" style=""></span>Hz&#41;&#46; When analyzing the sintering temperature <span class="elsevierStyleItalic">T</span> effect &#40;<a class="elsevierStyleCrossRef" href="#fig0015">Fig&#46; 3</a>&#40;b&#41;&#41;&#44; it is shown that increasing <span class="elsevierStyleItalic">T</span> shorten the frequency range in which &#956;&#8242; values are maintained constant and increase the &#956;&#8242; values in the low frequency range below 10<span class="elsevierStyleSup">7</span> Hz&#44; up to 1100<span class="elsevierStyleHsp" style=""></span>&#176;C&#46; Higher temperatures conduct to lower &#956;&#8242; values&#46; Finally&#44; <a class="elsevierStyleCrossRef" href="#fig0015">Fig&#46; 3</a>&#40;c&#41; shows the sintering time <span class="elsevierStyleItalic">t</span> effect and it indicates that&#44; excluding the lowest time which presents a frequency range in which &#956;&#8242; values are maintained constant&#44; all the tested times present a similar &#956;&#8242; curve in which &#956;&#8242; values decreased up to 10<span class="elsevierStyleSup">8</span><span class="elsevierStyleHsp" style=""></span>Hz&#44; tending to zero for higher frequencies&#46; In this case&#44; the &#956;&#8242; values significantly increase with increasing sintering time <span class="elsevierStyleItalic">t</span> in the low frequency range below 10<span class="elsevierStyleSup">7</span><span class="elsevierStyleHsp" style=""></span>Hz&#46;</p><p id="par0070" class="elsevierStylePara elsevierViewall">The resonance frequency&#44; at which &#956;&#8242; has its maximum value&#44; remains constant with pressing pressure <span class="elsevierStyleItalic">P</span> &#40;<a class="elsevierStyleCrossRef" href="#fig0015">Fig&#46; 3</a>&#40;a&#41; inset&#41;&#44; decreases with the rise in sintering temperature <span class="elsevierStyleItalic">T</span> &#40;<a class="elsevierStyleCrossRef" href="#fig0015">Fig&#46; 3</a>&#40;b&#41; inset&#41; and in sintering time <span class="elsevierStyleItalic">t</span> &#40;<a class="elsevierStyleCrossRef" href="#fig0015">Fig&#46; 3</a>&#40;b&#41; inset&#41;&#46;</p><p id="par0075" class="elsevierStylePara elsevierViewall">At it is widely accepted&#44; permeability in ferrites proceeds via two mechanisms&#44; domain wall motion and domain rotation <a class="elsevierStyleCrossRefs" href="#bib0320">&#91;21&#44;22&#93;</a>&#46; Lower permeability &#956;&#8242; values are normally due to smaller grains&#44; and higher &#956;&#8242; are commonly obtained because&#44; among other considerations&#44; domain wall oscillations can contribute to permeability as the grains are larger&#46; At low frequencies the domain wall motion is dominating to the initial permeability&#46; The existence of a large amount of grain boundaries in ferrites with small grain sizes prevents the domain wall motion and thereby weakens the &#956;&#8242;<a class="elsevierStyleCrossRef" href="#bib0330">&#91;23&#93;</a>&#46; Also&#44; a higher &#956;&#8242; value is related to higher densities because there is a decrease in the intergranular porosity and hence a reduction in the demagnetizing field due to pores&#46; In polycrystalline ferrites&#44; unavoidable pores and other imperfections generate a demagnetizing field&#46; Anisotropy field consists of magnetic anisotropy field and demagnetizing field&#46; As the pores volume decreases and the grains became bigger&#44; the saturation magnetization increases while demagnetizing field decreases <a class="elsevierStyleCrossRef" href="#bib0335">&#91;24&#93;</a>&#46; It is well known that porosity is a limiting factor for initial permeability&#44; either intergranular &#40;on the grain boundaries&#41; or intragranular &#40;inside the grains&#41;&#46; At the first stages of sintering&#44; initial permeability is influenced only by grain boundary porosity &#40;grain size is low and no intragranular porosity us formed&#41;&#46; As sintering proceeds grain size and densification increase&#44; the effect of intergranular porosity reduces and&#44; simultaneously&#44; the influence of intragranular porosity increases&#46; Sintering at high temperatures increases lattice parameter and grain growth&#44; enhancing the intragranular porosity and reducing initial permeability <a class="elsevierStyleCrossRefs" href="#bib0340">&#91;25&#44;26&#93;</a>&#46; Both the pores in the matrix and grain boundaries act as domain wall pinning factors <a class="elsevierStyleCrossRef" href="#bib0350">&#91;27&#93;</a> but&#44; compared to intragranular porosity&#44; intergranular porosity has negligible effect on initial permeability <a class="elsevierStyleCrossRef" href="#bib0340">&#91;25&#93;</a>&#46; Intergranular pores produce demagnetizing field&#44; which decreases the temperature dependence of initial permeability&#46; Intragranular pores pin and restrict the movement of the domain wall and lower the volume swept by wall bulging&#44; resulting in a decrease in the contribution of the domain wall motion to permeability <a class="elsevierStyleCrossRef" href="#bib0355">&#91;28&#93;</a>&#46; Thus&#44; maximum initial magnetic permeability is achieved when pore-to-pore distance of entrapped pores does not change significantly with the change in microstructure from inter- to intragranular porosity <a class="elsevierStyleCrossRef" href="#bib0360">&#91;29&#93;</a>&#46;</p><p id="par0080" class="elsevierStylePara elsevierViewall">This is why permeability broadly increases with pressing pressure&#44; sintering time and sintering temperature&#44; provided that not exaggerated and&#47;or abnormal grain growth is occurred&#44; since larger grains usually include pores within grains &#40;<a class="elsevierStyleCrossRef" href="#sec0045">see Supplementary Figs&#46; 1 and 2</a>&#41; which hinder the magnetization process <a class="elsevierStyleCrossRef" href="#bib0365">&#91;30&#93;</a>&#46; Another reason for the decrease of the permeability values is the present of defects in the grain boundaries&#44; as polycrystalline ferrites grain boundaries normally act as a sink of impurities&#46; Defects such as impurities&#44; non-magnetic second phases&#44; grain boundaries and chemical inhomogeneity impede the rotation of spins and the motion of the domain walls&#44; worsening this electromagnetic property of the final specimen <a class="elsevierStyleCrossRefs" href="#bib0305">&#91;18&#44;19&#93;</a>&#46;</p><p id="par0085" class="elsevierStylePara elsevierViewall">As it was previously stated by the authors <a class="elsevierStyleCrossRefs" href="#bib0370">&#91;31&#44;32&#93;</a>&#44; sintering temperature <span class="elsevierStyleItalic">T</span> and sintering time <span class="elsevierStyleItalic">t</span> &#40;as well as green relative density and cooling speed&#41; have a marked influence on the partial decomposition of the CuNiZn ferrite and ZnO and CuO crystal precipitation&#46; As <span class="elsevierStyleItalic">T</span> and <span class="elsevierStyleItalic">t</span> rise&#44; pore size distribution gets finer and narrower&#44; and the network formed between the particles become more tortuous&#44; making it difficult for oxygen to enter&#44; so that the oxygen concentration inside the sample decreases&#46; At low oxygen partial pressure and high temperatures &#40;as for 1150&#176; and 1200<span class="elsevierStyleHsp" style=""></span>&#176;C&#41;&#44; part of the iron III of the ferrite reduces&#44; causing the partial decomposition of the CuNiZn ferrite and the formation of ZnO and CuO &#40;Eq&#46; <a class="elsevierStyleCrossRef" href="#eq0015">&#40;3&#41;</a>&#41;&#46; The CuO obtained is unstable at high temperatures&#44; as reported in the traditional chemistry literature <a class="elsevierStyleCrossRefs" href="#bib0380">&#91;33&#44;34&#93;</a>&#44; taking place its decomposition &#40;Eq&#46; <a class="elsevierStyleCrossRef" href="#eq0020">&#40;4&#41;</a>&#41;&#46; In the same way&#44; ZnO easily decompose at low oxygen partial pressure and high temperatures into Zn and O<span class="elsevierStyleInf">2</span> &#40;Eq&#46; <a class="elsevierStyleCrossRef" href="#eq0025">&#40;5&#41;</a>&#41;&#44; and Zn volatilization occurred because of its low boiling point of 907<span class="elsevierStyleHsp" style=""></span>&#176;C <a class="elsevierStyleCrossRef" href="#bib0390">&#91;35&#93;</a>&#46;<elsevierMultimedia ident="eq0015"></elsevierMultimedia><elsevierMultimedia ident="eq0020"></elsevierMultimedia><elsevierMultimedia ident="eq0025"></elsevierMultimedia>The O<span class="elsevierStyleInf">2</span> and Zn vapor produced&#44; according to Eqs&#46; <a class="elsevierStyleCrossRefs" href="#eq0015">&#40;3&#41;&#8211;&#40;5&#41;</a>&#44; increases and&#47;or expands the pores in the sample&#44; which resulted in the lower relative density &#40;higher porosity&#41; of the specimens sintered at the highest conditions of temperature&#47;time &#40;<a class="elsevierStyleCrossRef" href="#sec0045">see Supplementary Tables 1&#8211;10</a>&#41;&#46;</p><p id="par0090" class="elsevierStylePara elsevierViewall">Permittivity increases with the three studied process parameters&#58; pressing pressure <span class="elsevierStyleItalic">P</span> &#40;<a class="elsevierStyleCrossRef" href="#fig0020">Fig&#46; 4</a>&#40;a&#41;&#41;&#44; sintering temperature <span class="elsevierStyleItalic">T</span> &#40;<a class="elsevierStyleCrossRef" href="#fig0020">Fig&#46; 4</a>&#40;b&#41;&#41; and sintering time <span class="elsevierStyleItalic">t</span> &#40;<a class="elsevierStyleCrossRef" href="#fig0020">Fig&#46; 4</a>&#40;c&#41;&#41;&#44; with a more marked rise in the case of temperature&#46; The real part of the relative dielectric permittivity &#949;&#8242; remains nearly constant with low values &#40;&#949;&#8242;&#60;25&#8722;15&#41; and the relative imaginary part &#949;&#8243; &#40;&#949;&#8243;&#8810;1&#41; is negligible for all cases practically throughout the studied frequency range&#46; Only those frequencies close to 10<span class="elsevierStyleSup">9</span><span class="elsevierStyleHsp" style=""></span>Hz conducted to appreciable changes in the permittivity values&#46;</p><p id="par0095" class="elsevierStylePara elsevierViewall">The dielectric permittivity &#949;&#8242; is a result of the contribution of four types of polarizations&#44; namely&#44; interfacial&#44; dipolar&#44; electronic an ionic&#46; The obtained &#949;&#8242; values are nearly constant&#44; possibly because the interfacial and dipolar polarizations play a dominant role at lower frequencies&#44; decreasing their contributions with frequency <a class="elsevierStyleCrossRef" href="#bib0265">&#91;10&#93;</a>&#46; The dispersion in dielectric permittivity is more pronounced at lower frequencies than a higher ones <a class="elsevierStyleCrossRef" href="#bib0395">&#91;36&#93;</a>&#46;</p><p id="par0100" class="elsevierStylePara elsevierViewall">Among other factors&#44; polarization is related to the sample density and homogeneity&#46; Some authors reported that Cu addition in NiZn ferrites may introduce some inhomogeneity that favors polarization&#44; causing an increase in &#949;&#8242;<a class="elsevierStyleCrossRef" href="#bib0400">&#91;37&#93;</a>&#46; However&#44; in our case&#44; the increase in &#949;&#8242; must be mainly related to the increase in density as no chemical composition changes have been conducted in the studied specimens&#46; During a normal grain growth densification process&#44; the relative density increases with pressing pressure <span class="elsevierStyleItalic">P</span>&#44; sintering temperature <span class="elsevierStyleItalic">T</span> and sintering time <span class="elsevierStyleItalic">t</span><a class="elsevierStyleCrossRef" href="#bib0405">&#91;38&#93;</a>&#44; as can be observed in <a class="elsevierStyleCrossRef" href="#sec0045">Supplementary Fig&#46; 3</a>&#44; which justifies the observed increase in values with these studied process parameters&#46;</p><p id="par0105" class="elsevierStylePara elsevierViewall">Complex electrical permittivity of polycrystalline solids depends on the microstructure of the sintered bodies &#40;porosity&#41; and the constituent permittivities &#40;grain and gas phase&#44; ferrite and air in our case&#41; <a class="elsevierStyleCrossRef" href="#bib0410">&#91;39&#93;</a>&#44; and varies with the angular frequency&#44; changing the involved polarization mechanism at high values&#46; Dielectric loss tangent &#40;tan&#8201;&#948;&#949;&#61;&#949;&#8243;&#47;&#949;&#8242;&#41; increases with porosity &#40;although it has also been found to increase when grain size decreases <a class="elsevierStyleCrossRef" href="#bib0415">&#91;40&#93;</a>&#41; and it also increases with angular frequency&#44; up to a maximum&#44; beyond which polarization falls&#46;</p><p id="par0110" class="elsevierStylePara elsevierViewall">Measured values of real &#956;&#8242; and imaginary &#956;&#8243; parts of complex relative permeability &#956;r&#61;&#956;&#8242;&#8722;j&#956;&#8243;&#44; as depicted in <a class="elsevierStyleCrossRef" href="#fig0015">Fig&#46; 3</a>&#44; and measured values of real &#949;&#8242; and imaginary &#949;&#8243; parts of complex relative permeability &#949;r&#61;&#949;&#8242;&#8722;j&#949;&#8243;&#44; as depicted in <a class="elsevierStyleCrossRef" href="#fig0020">Fig&#46; 4</a>&#44; were used to the calculation of reflection-loss RL in the sintered Cu doped-NiZn polycrystalline ferrites&#46; These calculations were performed using the model of a single-layered EM-wave absorber proposed by Naito and Suetake <a class="elsevierStyleCrossRef" href="#bib0420">&#91;41&#93;</a>&#46; In this model&#44; the input wave impedance Zin at the air&#47;absorber interface is given by Eq&#46; <a class="elsevierStyleCrossRef" href="#eq0005">&#40;1&#41;</a>&#46;</p><p id="par0115" class="elsevierStylePara elsevierViewall">The frequency dependence of reflection-loss RL for the sintered polycrystalline ferrites can be found in <a class="elsevierStyleCrossRef" href="#fig0025">Fig&#46; 5</a>&#44; where the effects of pressing pressure <span class="elsevierStyleItalic">P</span>&#44; sintering temperature <span class="elsevierStyleItalic">T</span> and sintering time <span class="elsevierStyleItalic">t</span> are shown in panels &#40;a&#41;&#8211;&#40;c&#41;&#44; respectively&#46; The pressing pressure <span class="elsevierStyleItalic">P</span> effect is depicted in <a class="elsevierStyleCrossRef" href="#fig0025">Fig&#46; 5</a>&#40;a&#41;&#46; Data indicate that the frequency-reflection-loss curves are quite similar for all the tested pressing pressures&#44; observing a slightly shift of the curves to lower frequency values&#46; When analyzing the sintering temperature <span class="elsevierStyleItalic">T</span> effect &#40;<a class="elsevierStyleCrossRef" href="#fig0025">Fig&#46; 5</a>&#40;b&#41;&#41;&#44; it is shown that the frequency-reflection-loss curves are substantially modified with the rise in this process parameter&#44; observing a large shift to a lower frequency range&#46; Finally&#44; <a class="elsevierStyleCrossRef" href="#fig0025">Fig&#46; 5</a>&#40;c&#41; depicts the sintering time <span class="elsevierStyleItalic">t</span> effect&#44; showing the same shift to lower frequencies of the frequency&#8211;reflection&#8211;loss curve&#44; albeit more moderately&#46; In conclusion&#44; the increase of all the three studied process parameters &#40;<span class="elsevierStyleItalic">P</span>&#44; <span class="elsevierStyleItalic">T</span> and <span class="elsevierStyleItalic">t</span>&#41; shifts the maximum RL to lower frequencies&#46; A value of RL greater than 20<span class="elsevierStyleHsp" style=""></span>dB means that the material absorbs 99&#37; of the input power <a class="elsevierStyleCrossRef" href="#bib0265">&#91;10&#93;</a>&#59; therefore&#44; as all the RL values are above 50<span class="elsevierStyleHsp" style=""></span>dB&#44; they can all be considered as appropriate shielding materials&#46; Overall&#44; the samples exhibit a relatively wide attenuation bandwidth in the frequency region from 2E7<span class="elsevierStyleHsp" style=""></span>Hz to 2E8<span class="elsevierStyleHsp" style=""></span>Hz&#46;</p><p id="par0120" class="elsevierStylePara elsevierViewall">The calculated absorption parameters&#44; i&#46;e&#46; the matching frequency fm&#44; matching thickness dm&#44; bandwidth for RL&#8804;&#8722;20&#8201;dB and minimum of reflection-loss RL&#44; are listed in the <a class="elsevierStyleCrossRef" href="#sec0045">Supplementary Tables 1&#8211;10</a> and depicted in <a class="elsevierStyleCrossRefs" href="#fig0030">Figs&#46; 6&#8211;9</a>&#44; where the effects of pressing pressure <span class="elsevierStyleItalic">P</span>&#44; sintering temperature <span class="elsevierStyleItalic">T</span> and sintering time <span class="elsevierStyleItalic">t</span> are shown in panels &#40;a&#41;&#44; &#40;b&#41; and &#40;c&#41;&#44; respectively&#46; Larger average grain size <span class="elsevierStyleItalic">G</span> scale graphs of these figures are shown in <a class="elsevierStyleCrossRef" href="#sec0045">Supplementary Figs&#46; 4&#8211;7</a>&#44; respectively&#46;</p><elsevierMultimedia ident="fig0030"></elsevierMultimedia><elsevierMultimedia ident="fig0035"></elsevierMultimedia><elsevierMultimedia ident="fig0040"></elsevierMultimedia><elsevierMultimedia ident="fig0045"></elsevierMultimedia><p id="par0125" class="elsevierStylePara elsevierViewall">The sintered microstructure &#40;relative density &#981; and average grain size <span class="elsevierStyleItalic">G</span>&#41; dependence of matching frequency fm of the sintered Cu-doped Ni&#8211;Zn-polycrystalline ferrite can be found in <a class="elsevierStyleCrossRef" href="#fig0030">Fig&#46; 6</a>&#46; The pressing pressure <span class="elsevierStyleItalic">P</span>&#44; sintering temperature <span class="elsevierStyleItalic">T</span> and sintering time <span class="elsevierStyleItalic">t</span> effects are depicted in panels &#40;a&#41;&#44; &#40;b&#41; and &#40;c&#41;&#44; respectively&#46; Larger average grain size <span class="elsevierStyleItalic">G</span> scale graphs are shown in <a class="elsevierStyleCrossRef" href="#sec0045">Supplementary Fig&#46; 4</a>&#44; with the same panel distribution for the three studied process parameters&#46; In general&#44; it is observed that the matching frequency fm is influenced by both the relative density &#981; and the average grain size <span class="elsevierStyleItalic">G</span>&#44; decreasing with the rise of both microstructural parameters as long as abnormal grain growth is not occurred&#44; which in our case is perfectly identified in the samples sintered at 1150&#176; and 1200<span class="elsevierStyleHsp" style=""></span>&#176;C &#40;<a class="elsevierStyleCrossRef" href="#fig0030">Fig&#46; 6</a>&#40;b&#41;&#41;&#46; All three process parameters &#40;<span class="elsevierStyleItalic">P</span>&#44; <span class="elsevierStyleItalic">T</span> and <span class="elsevierStyleItalic">t</span>&#41; enhanced the sintered microstructure of the final specimen&#44; decreasing the calculated matching frequency fm&#46;</p><p id="par0130" class="elsevierStylePara elsevierViewall">The sintered microstructure &#40;relative density &#981; and average grain size <span class="elsevierStyleItalic">G</span>&#41; dependence of matching thickness dm of the sintered Cu-doped Ni&#8211;Zn-polycrystalline ferrite can be found in <a class="elsevierStyleCrossRef" href="#fig0035">Fig&#46; 7</a>&#46; The pressing pressure <span class="elsevierStyleItalic">P</span>&#44; sintering temperature <span class="elsevierStyleItalic">T</span> and sintering time <span class="elsevierStyleItalic">t</span> effects are depicted in panels &#40;a&#41;&#44; &#40;b&#41; and &#40;c&#41;&#44; respectively&#46; Larger average grain size <span class="elsevierStyleItalic">G</span> scale graphs are shown in <a class="elsevierStyleCrossRef" href="#sec0045">Supplementary Fig&#46; 5</a>&#44; with the same panel distribution for the three studied process parameters&#46; In general&#44; it is observed that the matching thickness dm decreases with the rise of the relative density &#981; and increases rapidly at low average grain size <span class="elsevierStyleItalic">G</span> values and subsequently peaks&#46; The maximum value of the matching thickness dm is observed around 1<span class="elsevierStyleHsp" style=""></span>&#956;m&#44; tending to a constant value of 6<span class="elsevierStyleHsp" style=""></span>mm for higher average grain sizes&#44; and worsening when abnormal grain growth is observed&#46; As aforementioned&#44; all three process parameters enhanced the sintered microstructure of the final specimen&#44; generally decreasing the calculated matching thickness dm&#44; provided that normal grain growth occurs&#46;</p><p id="par0135" class="elsevierStylePara elsevierViewall">The reason for matching frequency fm &#40;and also matching thickness dm&#41; variation in polycrystalline ferrites according to the main microstructure parameters &#40;relative density &#981; and average grain size <span class="elsevierStyleItalic">G</span>&#41; may be found in the basic principles for designing EM-wave absorbers&#46; The following relationship between fm and dm can be written <a class="elsevierStyleCrossRef" href="#bib0425">&#91;42&#93;</a>&#58;<elsevierMultimedia ident="eq0030"></elsevierMultimedia></p><p id="par0140" class="elsevierStylePara elsevierViewall">This relation states that fm&#183;dm value is affected mainly by &#956;&#8242; values&#46; From <a class="elsevierStyleCrossRef" href="#sec0045">Supplementary Fig&#46; 1</a> it follows that increasing <span class="elsevierStyleItalic">P</span>&#44; <span class="elsevierStyleItalic">T</span> and <span class="elsevierStyleItalic">t</span> causes the increase of &#956;&#8242;&#44; which results in the decrease of fm&#183;dm value&#46; Also fm value decreases with increasing relative density &#981; and average grain size <span class="elsevierStyleItalic">G</span> &#40;see <a class="elsevierStyleCrossRef" href="#fig0030">Fig&#46; 6</a>&#41;&#46;</p><p id="par0145" class="elsevierStylePara elsevierViewall">The sintered microstructure &#40;relative density &#981; and average grain size <span class="elsevierStyleItalic">G</span>&#41; dependence of bandwidth for RL&#8804;&#8722;20dB of the sintered Cu-doped Ni&#8211;Zn-polycrystalline ferrite can be found in <a class="elsevierStyleCrossRef" href="#fig0040">Fig&#46; 8</a>&#46; The pressing pressure <span class="elsevierStyleItalic">P</span>&#44; sintering temperature <span class="elsevierStyleItalic">T</span> and sintering time <span class="elsevierStyleItalic">t</span> effects are depicted in panels &#40;a&#41;&#44; &#40;b&#41; and &#40;c&#41;&#44; respectively&#44; and larger average grain size <span class="elsevierStyleItalic">G</span> scale graphs are shown in <a class="elsevierStyleCrossRef" href="#sec0045">Supplementary Fig&#46; 6</a>&#46; As the relative density &#981; increases&#44; the bandwidth slightly decreases&#44; tending to a constant value of 2E8<span class="elsevierStyleHsp" style=""></span>Hz&#46; Similarly&#44; the bandwidth also decreases with the rise of average grain size <span class="elsevierStyleItalic">G</span>&#44; but this reduction is not constant but more pronounced at low <span class="elsevierStyleItalic">G</span> and lighter at higher values of the parameter&#44; tending to the same constant value of the bandwidth&#46; Unlike the previous absorption parameters&#44; abnormal grain growth &#40;mainly occurred at 1150&#176; and 1200<span class="elsevierStyleHsp" style=""></span>&#176;C&#41; does not significantly worsen the bandwidth&#44; reaching similar values for G&#62;25&#8201;&#956;m&#46;</p><p id="par0150" class="elsevierStylePara elsevierViewall">The sintered microstructure &#40;relative density &#981; and average grain size <span class="elsevierStyleItalic">G</span>&#41; dependence of minimum reflection-loss RL of the sintered Cu-doped Ni&#8211;Zn-polycrystalline ferrite can be found in <a class="elsevierStyleCrossRef" href="#fig0045">Fig&#46; 9</a>&#46; The pressing pressure <span class="elsevierStyleItalic">P</span>&#44; sintering temperature <span class="elsevierStyleItalic">T</span> and sintering time <span class="elsevierStyleItalic">t</span> effects are depicted in panels &#40;a&#41;&#44; &#40;b&#41; and &#40;c&#41;&#44; respectively&#46; Larger average grain size <span class="elsevierStyleItalic">G</span> scale graphs are shown in <a class="elsevierStyleCrossRef" href="#sec0045">Supplementary Fig&#46; 7</a>&#44; with the same panel distribution for the three studied process parameters&#46; Data indicates that the minimum reflection-loss RL quickly increases at short relative density &#981; and average grain size <span class="elsevierStyleItalic">G</span> values&#44; tending to a constant value of &#8722;60<span class="elsevierStyleHsp" style=""></span>dB&#44; and worsening when abnormal grain growth is occurred&#46; As in the previous absorption parameters&#44; the rise of the three studied process parameters &#40;<span class="elsevierStyleItalic">P</span>&#44; <span class="elsevierStyleItalic">T</span> and <span class="elsevierStyleItalic">t</span>&#41; generally improve the final microstructure&#44; enhancing the absorbing capacity of the ferrite&#46; It is well known that multidomain have a greater capacity to absorb electromagnetic radiation due to their greater contribution to domain wall motion&#44; which promotes a higher resonance effect&#44; dissipating energy as heat&#44; and hence&#44; rising the reflective property of the material <a class="elsevierStyleCrossRefs" href="#bib0330">&#91;23&#44;43&#93;</a>&#46; Larger grain size values suggest the formation of multidomain structures that promote greater domain wall motion&#44; hereby improving magnetic characteristics and&#44; therefore&#44; a better electromagnetic radiation absorption capacity of the final specimen&#46; But&#44; as set before&#44; when a minority of grains begin to grow at the expense of the surrounding grains&#44; some pores get trapped inside those grains &#40;see <a class="elsevierStyleCrossRef" href="#fig0010">Fig&#46; 2</a> and <a class="elsevierStyleCrossRef" href="#sec0045">Supplementary Figs&#46; 1 and 2</a>&#41;&#44; increasing the number of pinning sites and hindering the domain wall motion&#44; and thereby&#44; reducing magnetic properties&#46; Also&#44; bigger grains are usually related with unwanted phenomena of secondary phase precipitation&#44; as can be observed in the SEM micrographs in <a class="elsevierStyleCrossRef" href="#sec0045">Supplementary Figs&#46; 1 and 2</a>&#46; These precipitated crystals were observed to occur first at triple joint points&#44; then on grain boundaries and&#44; finally&#44; when the triple joint points and grain boundaries are saturated&#44; inside the ferrite grains <a class="elsevierStyleCrossRefs" href="#bib0370">&#91;31&#44;32&#93;</a>&#44; hindering the magnetization process through the inhibition of spin rotation and domain wall motion and worsening therefore the electromagnetic performance of the ferrite as shown in <a class="elsevierStyleCrossRefs" href="#fig0030">Figs&#46; 6&#8211;9</a> and <a class="elsevierStyleCrossRef" href="#sec0045">Supplementary Figs&#46; 4&#8211;7</a>&#46;</p></span><span id="sec0035" class="elsevierStyleSection elsevierViewall"><span class="elsevierStyleSectionTitle" id="sect0060">Conclusions</span><p id="par0155" class="elsevierStylePara elsevierViewall">An in-depth analysis of the effect of sintered microstructure&#44; mainly characterize by the relative density &#981; and the average grain size <span class="elsevierStyleItalic">G</span>&#44; of a Cu-doped Ni&#8211;Zn polycrystalline ferrite on their shielding properties has been conducted in the 1<span class="elsevierStyleHsp" style=""></span>MHz to 1<span class="elsevierStyleHsp" style=""></span>GHz frequency range&#46; Three have been the process parameters in the traditional ceramic route selected to modify the final sintered microstructure&#58; the pressing pressure <span class="elsevierStyleItalic">P</span>&#44; the sintering temperature <span class="elsevierStyleItalic">T</span> and the sintering time <span class="elsevierStyleItalic">t</span> of the thermal cycle used in the sintering stage&#46; In addition&#44; four absorption parameters were calculated to characterize the shielding properties of the material&#58; the matching frequency fm&#44; the matching thickness dm&#44; the bandwidth for RL&#8804;&#8722;20dB and the minimum of the reflection-loss RL&#46;</p><p id="par0160" class="elsevierStylePara elsevierViewall">The variation of the pressing pressure &#40;50&#8804;P&#8804;300&#8201;MPa&#41;&#44; sintering temperature &#40;900&#176;&#8804;T&#8804;1200&#8201;&#176;C&#41; and sintering time &#40;0&#8804;t&#8804;30h&#41; has allowed obtaining a widely-dispersed range of sintered microstructures &#40;660 specimens&#41; with both kinds of grain growth processes&#58; normal and abnormal&#46;</p><p id="par0165" class="elsevierStylePara elsevierViewall">It has been found that the four studied absorption parameters depend on the sintered microstructure and can be modified by changing the process parameters&#44; indicating that electromagnetic absorption characteristics on the current ferrite composition can be tailored by changing the processing conditions of the shielding material&#46; Generally&#44; the rise in pressing pressure <span class="elsevierStyleItalic">P</span>&#44; sintering temperature <span class="elsevierStyleItalic">T</span> and sintering time <span class="elsevierStyleItalic">t</span>&#44; conduct to a better sintered microstructure&#44; therefore improving the shielding properties of the final specimens&#44; provided that abnormal grain growth and&#47;or second precipitated phases are not conducted&#44; which has been mainly observed for the sintering temperatures of 1150&#176; and 1200<span class="elsevierStyleHsp" style=""></span>&#176;C&#46;</p><p id="par0170" class="elsevierStylePara elsevierViewall">This knowledge could be used to design a better ferrite shielding material&#44; which will be that with the greatest reflection-loss absolute value &#124;<span class="elsevierStyleItalic">RL</span>&#124;&#44; the widest bandwidth&#44; the smallest matching thickness&#44; and the lowest matching frequency&#46;</p><p id="par0175" class="elsevierStylePara elsevierViewall">The best performance of electromagnetic absorption in the 1<span class="elsevierStyleHsp" style=""></span>MHz to 1<span class="elsevierStyleHsp" style=""></span>GHz band was presented by the &#40;Cu<span class="elsevierStyleInf">0&#46;12</span>Ni<span class="elsevierStyleInf">0&#46;23</span>Zn<span class="elsevierStyleInf">0&#46;65</span>&#41;Fe<span class="elsevierStyleInf">2</span>O<span class="elsevierStyleInf">4</span> ferrite uniaxially pressed at 200<span class="elsevierStyleHsp" style=""></span>MPa and thermally treated at 1050<span class="elsevierStyleHsp" style=""></span>&#176;C with a dwell time of 2<span class="elsevierStyleHsp" style=""></span>h&#44; reaching a maximum &#124;<span class="elsevierStyleItalic">RL</span>&#124; of 82&#46;55<span class="elsevierStyleHsp" style=""></span>dB at a frequency of 1&#46;31<span class="elsevierStyleHsp" style=""></span>&#215;<span class="elsevierStyleHsp" style=""></span>10<span class="elsevierStyleSup">8</span><span class="elsevierStyleHsp" style=""></span>Hz&#44; with an attenuation bandwidth of 2&#46;39<span class="elsevierStyleHsp" style=""></span>&#215;<span class="elsevierStyleHsp" style=""></span>10<span class="elsevierStyleSup">8</span><span class="elsevierStyleHsp" style=""></span>Hz and a matching thickness of 6&#46;4<span class="elsevierStyleHsp" style=""></span>mm&#46;</p></span></span>"
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              "titulo" => "Measurement of microwave-absorbing behavior of ferrite"
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        "resumen" => "<span id="abst0010" class="elsevierStyleSection elsevierViewall"><p id="spar0005" class="elsevierStyleSimplePara elsevierViewall">The shielding properties of a Cu-doped Ni&#8211;Zn polycrystalline ferrite in the frequency range 1<span class="elsevierStyleHsp" style=""></span>MHz to 1<span class="elsevierStyleHsp" style=""></span>GHz were explored&#46; Samples of composition &#40;Cu<span class="elsevierStyleInf">0&#46;12</span>Ni<span class="elsevierStyleInf">0&#46;23</span>Zn<span class="elsevierStyleInf">0&#46;65</span>&#41;Fe<span class="elsevierStyleInf">2</span>O<span class="elsevierStyleInf">4</span> were prepared by the traditional ceramic route&#46; The complex relative permittivity &#40;&#949;r&#61;&#949;&#8242;&#8722;j&#949;&#8243;&#41; and permeability &#40;&#956;r&#61;&#956;&#8242;&#8722;j&#956;&#8243;&#41; of the absorber ceramics were measured&#44; and the minimum reflection-loss RL&#44; matching frequency fm&#44; matching thickness dm and bandwidth for RL&#8804;&#8722;20&#8201;dB were calculated using the theory of the absorbing wall&#46; Effect of the main process parameters &#40;pressing pressure <span class="elsevierStyleItalic">P</span>&#44; sintering temperature <span class="elsevierStyleItalic">T</span>&#44; and sintering time <span class="elsevierStyleItalic">t</span>&#41; on the electromagnetic properties and microwave-absorbing characteristics was deeply investigated&#46; The rise of the three selected process parameters was observed to improve the sintered microstructure of the final specimens &#40;monitored by the relative density &#981; and the average grain size <span class="elsevierStyleItalic">G</span>&#41;&#44; provided that abnormal grain growth does not occurred&#46; The increase in sintered relative density and average grain growth modifies complex permeability and permittivity in the explored frequency range&#44; enhancing the shielding properties of the material&#46;</p></span>"
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        "resumen" => "<span id="abst0015" class="elsevierStyleSection elsevierViewall"><p id="spar0015" class="elsevierStyleSimplePara elsevierViewall">Se han analizado las propiedades de blindaje de una ferrita policristalina de Ni&#8211;Zn dopada con Cu en el rango de frecuencia de 1<span class="elsevierStyleHsp" style=""></span>MHz-1<span class="elsevierStyleHsp" style=""></span>GHz&#46; Las muestras de composici&#243;n &#40;Cu<span class="elsevierStyleInf">0&#46;12</span>Ni<span class="elsevierStyleInf">0&#46;23</span>Zn<span class="elsevierStyleInf">0&#46;65</span>&#41;Fe<span class="elsevierStyleInf">2</span>O<span class="elsevierStyleInf">4</span> se prepararon por la ruta tradicional cer&#225;mica&#44; midiendo la permitividad &#40;&#949;r&#61;&#949;&#8242;&#8722;j&#949;&#8243;&#41; y la permeabilidad &#40;&#956;r&#61;&#956;&#8242;&#8722;j&#956;&#8243;&#41; relativas complejas de las cer&#225;micas absorbentes y se calcularon&#44; utilizando la teor&#237;a de la pared absorbente&#44; la p&#233;rdida por reflexi&#243;n m&#237;nima RL&#44; la frecuencia a la que se produce esta RL m&#237;nima fm&#44; el espesor &#243;ptimo de pieza dm y el ancho de banda para RL&#8804;&#8722;20dB&#46; Se ha llevado a cabo una investigaci&#243;n rigurosa del efecto de los principales par&#225;metros del proceso &#40;presi&#243;n de prensado <span class="elsevierStyleItalic">P</span>&#44; temperatura de sinterizaci&#243;n <span class="elsevierStyleItalic">T</span> y tiempo de sinterizaci&#243;n <span class="elsevierStyleItalic">t</span>&#41; sobre las propiedades electromagn&#233;ticas y los par&#225;metros caracter&#237;sticos de estos absorbedores&#44; observ&#225;ndose que el aumento de los tres par&#225;metros de proceso seleccionados mejoran la microestructura final de las muestras sinterizadas &#40;monitorizadas por la densidad relativa &#981; y el tama&#241;o medio de grano <span class="elsevierStyleItalic">G</span> siempre que no se produzca un crecimiento anormal del grano&#46; El aumento de la densidad relativa y el tama&#241;o medio de grano de las piezas sinterizadas modifican la permeabilidad y la permitividad complejas en el rango de frecuencia explorado&#44; mejorando las propiedades de blindaje del material&#46;</p></span>"
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        "texto" => "<p id="par0195" class="elsevierStylePara elsevierViewall">This study has been supported by Ministerio de Econom&#237;a y Competitividad &#40;Spain&#41; through grant number &#40;MAT2016-76320-R&#41; and by Universitat Jaume I &#40;Spain&#41;&#44; grant numbers &#40;UJIB2017-48 and UJIB2020-13&#41;&#46; Complex relative permeability and permittivity determination were carried out at the central facilities &#40;Servei Central d&#8217;Instrumentaci&#243; Cient&#237;fica&#41; of the Universitat Jaume I&#46;</p>"
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Article information
ISSN: 03663175
Original language: English
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