Influence of La and Ce additions on the magnetocaloric effect of Fe–B–Cr-based amorphous alloys
Abstract
The magnetic entropy change (ΔSM), temperature of peak ΔSM (Tpk) and refrigerant capacity (RC) in Fe(RE)80B12Cr8 (RE = La, Ce, or Gd) alloys were studied. Increasing La, Ce, and Gd content led to relatively constant, decrease, and increase in Tpk, respectively. Both the phenomenologically constructed universal curve for ΔSM and field dependence power laws demonstrated that these alloys exhibited similar critical exponents at Curie temperature. With 5% Ce added to Fe80B12Cr8, Tpk could be tuned near room temperature with relatively constant peak ΔSM. Fe79B12Cr8La1 exhibited enhanced RC compared to Gd5Si2Ge1.9Fe0.1. The tunable Tpk and enhanced RC are needed in active magnetic regenerators.
Full text
In luence o La and Ce addi ions on he magne ocalo ic e ec
o Fe–B–C -based amo phous alloys
J. Y. Law,1V. F anco,2and R. V. Ramanujan1,a兲
1School o Ma e ials Science and Enginee ing, Nanyang Technological Uni e si y, Singapo e 639798
2Dp o. Física de la Ma e ia Condensada, ICMSE-CSIC, Uni e sidad de Se illa, P.O. Box 1065,
41080 Se illa, Spain
共Recei ed 14 Ma ch 2011; accep ed 14 Ap il 2011; published online 10 May 2011兲
The magne ic en opy change 共⌬SM兲, empe a u e o peak ⌬SM共Tpk兲and e ige an capaci y 共RC兲
in Fe共RE兲80B12C 8共RE=La, Ce, o Gd兲alloys we e s udied. Inc easing La, Ce, and Gd con en
led o ela i ely cons an , dec ease, and inc ease in Tpk, espec i ely. Bo h he phenomenologically
cons uc ed uni e sal cu e o ⌬SMand ield dependence powe laws demons a ed ha hese
alloys exhibi ed simila c i ical exponen s a Cu ie empe a u e. Wi h 5% Ce added o Fe80B12C 8,
Tpk could be uned nea oom empe a u e wi h ela i ely cons an peak ⌬SM.Fe
79B12C 8La1
exhibi ed enhanced RC compa ed o Gd5Si2Ge1.9Fe0.1. The unable Tpk and enhanced RC a e needed
in ac i e magne ic egene a o s. © 2011 Ame ican Ins i u e o Physics.关doi:10.1063/1.3589353兴
Magne ic e ige a ion 共MR兲o e s a compe i i e al e -
na i e o con en ional apo comp ession e ige a ion sys-
ems due o i s high ene gy e iciency and en i onmen al
iendliness.1–3I employs he magne ocalo ic e ec 共MCE兲,
which is ela ed o he e e sible empe a u e change in a
magne ocalo ic ma e ial 共MCM兲subjec ed o a ying mag-
ne ic ield unde adiaba ic condi ions.1The Cu ie empe a-
u e 共TC兲o MCM plays a signi ican ole in magne ocalo ic
s udies because MCE peaks nea TC. Gadolinium, a well-
known MCM, exhibi s la ge MCE wi h a second o de mag-
ne ic ansi ion 共SOMT兲a TCnea oom empe a u e 共RT兲.
Howe e , i s high cos , poo co osion esis ance, and e-
s ic ed a ailabili y necessi a e he de elopmen o MCM o
nea RT MR. An ideal MCM should be low cos and exhibi
good e ige an capaci y 共RC兲and peak magne ic en opy
change 共兩⌬SM
pk兩兲 wi h li le hys e esis. I on-based amo phous
alloys ul ill such equi emen s. They o e low magne ic
hys e esis, high elec ical esis i i y, enhanced co osion e-
sis ance, good mechanical p ope ies, and unable TCby
composi ion a ia ion.4–6In addi ion, he elemen s in ol ed
a e abundan and ab ica ion cos s a e easonable, making
hem highly compe i i e. Fe80C 8B12 amo phous alloys ex-
hibi p omising MCE nea RT, C addi ions enhance he co -
osion esis ance o he alloy.7Gd addi ions o his alloy ha e
been s udied p e iously8wi h he aim o uning he TCo he
alloy. Fe79B12C 8Gd1alloy displayed enhanced 兩⌬SM
pk兩
共⬃33% la ge han Fe80B12C 8兲and RC alues 关⬃29% la ge
han Gd5Si2Se1.9Fe0.1 共Re . 9兲兴. These indings sugges ha
s udies o he e ec o a e ea hs 共REs兲addi ions on he
MCE o Fe-based amo phous alloys would be use ul. The
ype o RE addi ions o ansi ion me als 共TMs兲, such as Fe,
in luences he ne magne ic momen o he alloys signi i-
can ly: Gd and hea y RE con ibu e o e imagne ism while
ligh RE con ibu e o e omagne ism, which gene ally e-
sul s in a la ge ne magne ic momen han he o me .10 The
magne ism in such alloys depends on he na u e o coupling
be ween he RE and TM momen s. As he 4 -5delec on
exchange in e ac ion a he RE si e is e omagne ic, he an-
i e omagne ic 5d共RE兲-3d共TM兲elec on in e ac ions esul
in e omagne ic coupling o ligh RE o TM momen s and
ice e sa o hea y RE.11 This p esen wo k shows ha La,
Ce, and ou p e iously s udied Gd addi ions o Fe–B–C
amo phous alloys in luence he empe a u e o ⌬SM
pk 共Tpk兲
di e en ly.
Alloys wi h nominal composi ion Fe80−xB12C 8Lax
共x=0, 1, 5, 10, and 15兲and Fe80−yB12C 8Cey共y=2, 5, 10,
and 15兲we e mel spun in o ibbons. The ibbons a e de-
no ed by hei 共a兲La con en as La1, La5, La10, and La15,
and 共b兲Ce con en as Ce2, Ce5, Ce10, and Ce15. The amo -
phici y o he ibbons was con i med by x- ay di ac ion.
Magne ic p ope ies we e measu ed by Lakesho e 7407 i-
b a ing sample magne ome e o magne ic ields up o 15
kOe. The magne ic en opy change 共⌬SM兲due o he a ia-
ion in applied magne ic ield 共H兲was de e mined om
⌬SM=兰0
H共
M/
T兲HdH. RC is calcula ed in wo ways in his
s udy: 共a兲RCFWHM: he p oduc o ⌬SM
pk imes he ull em-
pe a u e wid h a hal maximum o he peak 共RCFWHM
=⌬SM
pk⫻
␦
TFWHM兲, and 共b兲RCAREA: nume ical in eg a ion o
he a ea unde he ⌬SM共T兲cu es, using he ull empe a u e
wid h a hal maximum o he peak as he in eg a ion limi s.
The composi ional dependence o 兩⌬SM
pk兩,T
pk, and
RCFWHM a e shown in he main panel o Fig. 1. Fo bo h La
and Ce se ies, 兩⌬SM
pk兩 alues emains ela i ely cons an o
RE con en up o 5 a . % and p og essi ely dec eases o
highe concen a ions. The 兩⌬SM
pk兩 o Fe80−xRExB12C 8共RE
=La o Ce; x=1–5 a . %兲alloys compa e a o ably wi h
he base Fe80B12C 8amo phous alloy.7Fo highe Gd con-
en , he dec ease in 兩⌬SM
pk兩 o he Gd alloy se ies was la ge
han hose o he La and Ce se ies 共Gd con en ⱖ3 a . %兲.
⌬SMhas been shown o be co ela ed wi h he magne ic mo-
men o he ma e ial in o he alloy sys ems.8,12,13 To in es i-
ga e whe he such a ela ionship holds be ween 兩⌬SM
pk兩
and he magne ic momen o Fe80−xB12C 8Laxand
Fe80−yB12C 8Ceyamo phous alloys, he empe a u e depen-
dence o magne iza ion was measu ed below TC. The low
empe a u e spon aneous magne iza ion 共M0兲was ob ained
by he linea ex apola ion o M共T3/2兲plo s. The expe imen-
al 兩⌬SM
pk兩 alues we e plo ed as a unc ion o M0in he inse
a兲Au ho o whom co espondence should be add essed. Elec onic mail:
[email p o ec ed]. Tel.: ⫹65 67904342. FAX: ⫹65 67909081.
APPLIED PHYSICS LETTERS 98, 192503 共2011兲
0003-6951/2011/98共19兲/192503/3/$30.00 © 2011 Ame ican Ins i u e o Physics98, 192503-1
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o Fig. 1,a共i兲 o bo h alloy se ies as well as he p e iously
s udied Fe80−zB12C 8Gdz共z=1–11 a . %兲alloys.8兩⌬SM
pk兩in-
c eases wi h inc easing M0, e idencing he abo emen ioned
linea co ela ion be ween 兩⌬SM
pk兩and M0. This also a ibu es
o he composi ional dependence o 兩⌬SM
pk兩. As La a oms do
no exhibi magne ic momen ,11 he end o 兩⌬SM
pk兩dec eas-
ing wi h highe La concen a ion in La alloys e lec dilu ion
o he magne ic coupling be ween he Fe momen s. The M0
alues o he Ce alloy se ies we e obse ed o be lowe han
he co esponding La alloys in Fig. 1,a共ii兲. The Ce ion in
Fe–Ce alloys was epo ed o exhibi e a alen alence s a e
unlike o he i alen RE ions.14 Hence, he localized 4 elec-
on o Ce a om can be easily displaced o he 5dconduc ion
band. This esul s in a u he dis inc hyb idiza ion o 5d
s a es wi h 3ds a es in Fe–Ce alloys, which can lead o lowe
magne iza ion in Fe–Ce alloys compa ed o o he amo phous
ligh RE-Fe alloys.15,16 Fo he Gd alloy se ies, he la ge
magne ic momen o Gd compa ed o he o he RE in es i-
ga ed in his s udy led o he highes 兩⌬SM
pk兩 alue 共1 a . %
Gd兲. I s educed 兩⌬SM
pk兩 o inc easing Gd addi ions is due o
he an ipa allel coupling be ween Gd and Fe momen s, lead-
ing o educed M0 o highe Gd con en .
The empe a u e o he peak magne ic en opy change
共Tpk兲can be conside ed as Tc o low H.17 Tpk shows li le
a ia ion as La con en inc eases, consis en wi h ea lie e-
po s in amo phous Fe–La bina y alloys.18 The p esence o
C and B in ou alloys displaces TC o highe empe a u es
compa ed o he li e a u e.18–20 In con as , Tpk educes as Ce
concen a ion inc eases. The Ce alloy se ies displays lowe
Tpk alues compa ed o he La alloy se ies.21
The magne ic o de ing empe a u es o Gd and Ce al-
loys we e he highes and lowes , espec i ely.22 Ce was e-
po ed o adop he e a alen s a e in Ce–Fe alloys, which
can lead o educ ion in he Fe–Fe dis ance, which in u n
educes TC,23 and hus hese alloys exhibi lowes TCcom-
pa ed o o he ligh RE alloys.22 Gd has been epo ed o
display he la ges TCamong all RE,22,23 which led de
Gennes o co ela e his maximum wi h he maximal alue o
4 spin in Gd.24 In addi ion, Tpk in he La se ies showed li le
a ia ion wi h La con en compa ed o hose o Ce and Gd
con aining alloys. In con as , Ce alloys show a mono onic
dec ease in Tpk wi h inc easing Ce con en . Unlike he La
and Ce se ies, Tpk was obse ed o inc ease wi h highe Gd
addi ions.25,26 RCFWHM educed wi h inc easing RE con en ,
wi h he Gd alloy se ies displaying he la ges dec ease com-
pa ed o he La and Ce alloy sys ems. Fo Ce15, he dec eas-
ing end o RC shows a la ge nega i e slope compa ed o
ha o he La15 alloy. To s udy his educ ion in RCFWHM,
he composi ional dependence o ull empe a u e wid h a
hal maximum 共
␦
TFWHM兲o 兩⌬SM
pk兩was plo ed 关inse o Fig.
1共c兲兴. Fo RE=15 a . %:
␦
TFWHM inc eased o he La15 al-
loy while he Ce15 alloy showed a la ge educed
␦
TFWHM
among he Ce alloy se ies. Fo La alloy se ies,
␦
TFWHM did
no signi ican ly change wi h La concen a ion. On he o he
hand,
␦
TFWHM dec eased wi h inc easing Ce concen a ion.
The dec ease in RC o he La alloy se ies could be a ibu ed
o he educ ion in 兩⌬SM
pk兩共RC being p opo ional o 兩⌬SM
pk兩
and
␦
TFWHM兲since 兩⌬SM
pk兩gene ally plays a dominan ole in
RC maximiza ion o SOMT ma e ials.27 Fo he Ce alloy
se ies, he educed 兩⌬SM
pk兩and
␦
TFWHM con ibu es o a much
lowe RC alue, e.g., in he Ce15 alloy. Fo he Gd se ies, he
la ge dec easing end o RC could be a ibu ed o he la ge
educ ion in 兩⌬SM
pk兩wi h Gd addi ion.
Li e a u e epo s o he p ope ies o MCM a e usually
published a he maximum a ailable magne ic ield in indi-
idual labo a o ies. To compa e di e en li e a u e alues,
he ield dependence s udies o ⌬SM
pk and RC should be
known. The ield dependence o magne ic en opy change
can be exp essed as ⌬SM
pk⬀Hn, alida ed expe imen ally in
se e al so magne ic amo phous alloys and some RE-based
c ys alline MCM.17 The exponen nis ield in a ian a TCo
Tpk.17 The ield dependence o RC can also be ep esen ed by
a powe law exp ession: RCFWHM⬀HN. Exponen s n 共and N兲
should ha e simila alues o a gi en alloy se ies since hey
a e con olled by he c i ical exponen s o he alloy se ies.
As an example, ⌬SM
pk共H兲and RC共H兲 o he La5 and Ce5
alloys a e p esen ed in he inse s o Fig. 2. The good i s
shown aid he de e mina ion o he exponen s n and N. Fo
he La alloys: n=0.79⫾0.01 and N=1.20⫾0.01; and Ce al-
loys: n=0.77⫾0.03 and N=1.20⫾0.01. These alues a e
close o hose ob ained o Gd alloys 共n=0.75⫾0.01 and N
=1.16⫾0.01兲.8Bo h RCFWHM and RCAREA ha e been p e-
dic ed o scale wi h ield wi h he same alue o exponen ,17
in good ag eemen wi h ou expe imen al esul s. When
兩RCAREA兩 o he La1 and La5 alloy a e ex apola ed o H
=50 kOe, alues o 386 J kg−1 and 356 J kg−1, espec-
i ely, a e ob ained, which a e up o ⬃9% highe han he
well-known MCM—Gd5Si2Ge1.9Fe0.1.9Fo Ce2 alloys, i s
兩RCAREA兩yield 367 J kg−1 when ex apola ed o 50 kOe,
FIG. 1. 共Colo online兲Composi ional dependence o 共a兲兩⌬SM
pk兩,共b兲Tpk, and
共c兲RCFWHM o he as-spun ibbons a H=11 kOe. 共1a兲inse : 共i兲spon ane-
ous magne iza ion dependence o 兩⌬SM
pk兩and 共ii兲composi ional dependence
o M0.共1c兲inse : composi ional dependence o
␦
TFWHM.
192503-2 Law, F anco, and Ramanujan Appl. Phys. Le . 98, 192503 共2011兲
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which shows ⬃3% imp o emen o e Gd5Si2Ge1.9Fe0.1.9A
phenomenological uni e sal cu e o ⌬SMis used o ex-
apola e magne ocalo ic p ope ies o magne ic ields and/o
empe a u es which a e inaccessible in di e en labo a o ies.
This aids he pe o mance e alua ion o di e en MCM. I s
cons uc ion equi es he no maliza ion o ⌬SM共T兲wi h e-
spec o hei peaks:17 ⌬S⬘=⌬SM/⌬SM
pk and escaling he em-
pe a u e axis
using wo e e ence empe a u es 共T 兲such
ha ⌬SM共T 兲/⌬SM
pk=0.6. The escaled ⌬SM共T兲cu es o La
and Ce alloys a e p esen ed in he main panel o Fig. 2. The
no malized ⌬SMcu es collapse nicely on o a single cu e
o each alloy se ies, con i ming ha hey exhibi SOMT,
ha he uni e sal cu e is applicable o hese alloys and ha
hei c i ical exponen s should be he same.
In summa y, addi ions o La and Ce o Fe–B–C amo -
phous alloys led o di e en in luences on Tpk. Wi h inc eas-
ing RE con en , Tpk dec eases o Fe80−yB12C 8Ceybu in-
c eases o Fe80−zB12C 8Gdz. La addi ions ha e li le e ec
on Tpk. Fo x=1 and 5 a . % in Fe80−xB12C 8Laxand
Fe80−xB12C 8Cexamo phous alloys, Tpk can be uned nea
RT wi h 兩⌬SM
pk兩compa able o he base Fe80B12C 8alloy.
Bo h ⌬SM
pk共H兲and RC共H兲ag ees wi h heo e ical p edic ions
o a powe law dependence, yielding exponen s as 0.79 and
1.20, espec i ely, o he La alloy se ies and 0.77 and 1.20,
espec i ely, o he Ce alloys. These a e in good ag eemen
wi h he p e ious esul s o he Gd alloy se ies.
Fe79B12C 8La1alloys exhibi enhanced RC compa ed o he
well-known MCM Gd5Si2Ge1.9Fe0.1.
This wo k was suppo ed by he U.S. AOARD 共G an
No. AOARD-08-4018兲, p og am manage , D . R. Ponnap-
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FIG. 2. 共Colo online兲Uni e sal cu es o Fe80−xB12C 8RExwhe e RE
=La o Ce. Inse : ield dependence o ⌬SM
pk 共䊐兲,RC
FWHM 共䊊兲, and RCAREA
共䉭兲 o 共a兲La5 and 共b兲Ce5 alloys. Lines a e i s o he powe law
exp essions.
192503-3 Law, F anco, and Ramanujan Appl. Phys. Le . 98, 192503 共2011兲
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