MgO Ä Z Ø o ù p § T Ó Þ X ¢ w Æ X Ø X-ray > H± n Ç ÷ m Ç] M ö8 ý S z » Æ X Øy ¢ | ºX N Ë ì Å
» õ i u® £ · - ! H6 0* å · Ð+ Ö < ÷ 7 B · £* å ¬ £ · » õ i ;M ∗
Â
Òí ß @ / < Æ § Ó ü t o < Æõ , Â Òí ß 609-735 (2008¸ 2 Z 4 4{ 9 ~ Ã Î6 £ §)
Ä
ºo H MgO ì r ´ ú ` ¦ s 6 x # ¦ : r XRD z ´+ « >_ r « Ñ : r ¸ Ð& ñ ½ ¨\ ¦ % i . : r ¸\ ¦ or &
9 X-ray r] X z ´+ « >` ¦ à º' < ÊÜ ¼ Ð" f & ñ ½ ¨ ¸ : r ¸\ É r o\ ¦ ½ ¨½ + É M :, & ñ S X ô Ç r « Ñ : r ¸
\
¦ · ú l 0 AK " f, y : r ¸\ É r & ñ S X ô Ç © Ã º · ú 9 MgO ì r ´ ú _ « Ñ\ ¦ s 6 x # , MgO ì r
´ ú
_ : r ¸\ É r © Ã º\ ¦ 2 < ÊÃ º Ð í ß Ø ¦ % i . r « Ñ\ 5 % _ MgO ì r ´ ú ` ¦ ' # , 15
◦∼ 135
◦_ 2θ % ò % i \ " f r] X z ´+ « >` ¦ Ã º' % i ¦, Õ ª õ \ ¦ Rietveld refinement ì r$ 3 ` ¦ # , r
«
Ñ ? /\ [ O # e H MgO ì r ´ ú _ & ñ S X ô Ç © Ã º\ ¦ % 3 % 3 . s ü < ° ú É r ~ ½ ÓZ O ` ¦ s 6 x # , MgO_ : r
¸\ ¦ $ & ñ ¦, s \ É r r « Ñ_ : r ¸\ ¦ É r z ´+ « >[ þ t õ q § # & ñ S X ô Ç z ´+ « >s ÷ & H כ ` ¦ S X
% i .
PACS numbers: 41.60.Bq, 61.12.Ld, 77.84 Keywords: : r ¸ Ð& ñ , ¦ : r XRD, MgO ì r ´ ú
I. " e  ] Ø
þ
j H í ß oÓ ü t É r D h Ðî r y © Ä » ^ , $ í ^ , Õ ªo ¦ y ©
^
1 p x s µ 1 Ï| ÷ &# Qf \ ´ ú § É r Å Ò3 l q` ¦ ~ Ã Î ¦ e . t è
ß 20¸ ç ß y © Ä » ^ H l > r _ BaTiO
3, Ba
1−xSr
xTiO
3\ ¦
@
/ K Z } É r · ú $ í x 9 Ä ºÃ ºô Ç y © Ä » : £ ¤$ í ` ¦ t PbZr
xTi
1−xO
3(PZT) _ Ó ü t| 9 \ @ / # ´ ú § É r ½ ¨ [1–
3]\ ¦ Ã º' ÷ &% 3 Ü ¼ 9, þ j H \ H Ð ¨ 8 â 2 ; o& h èF
\
¦ > hµ 1 Ï l 0 AK Pb\ ¦ í < Ê t · ú § H y © Ä » ^ > hµ 1 Ï\ Å
Ò§ 4 ` ¦ ¦ e [4,5]. ¢ ¸ô Ç La
xCa
1−xMnO
3ü < ° ú É r í
@ / l $ ½ Ó ´ òõ H í ß oÓ ü t s µ 1 Ï| ÷ &# Q f Ü
¼ Ð" f $ © B ^ µ 1 Ï \ H l # \ ¦ % i [6]. s ü < 8 Ô
¦ # Q TbMnO
3ü < ° ú É r y © Ä » $ í ÷ r ë ß m $ í : £ ¤f ç s
< Êa Ðs H y © ^ í ß oÓ ü t [7] s µ 1 Ï| ÷ &# Q D h Ðî r
½
¨ ì r Ð" f Å Ò3 l q ~ Ã Î ¦ e .
s
Qô Ç D h Ðî r í ß oÓ ü t \ @ /ô Ç : £ ¤f ç ` ¦ s K l 0 AK Ã
º' H ª ô Ç z ´+ « > x 9 ì r$ 3 É r, r « Ñ_ { ½ ¨ ¸, l
&
h
: £ ¤$ í , l & h : £ ¤$ í 1 p x` ¦ · ú Ã º e . ¢ ¸ô Ç s Qô Ç Ó ü t
| 9
_ : £ ¤$ í É r y Ó ü t| 9 _ ½ ¨ ¸ü < x 9 ] X ô Ç ' a > [8–10]\ ¦ t
¦ e l M :ë H \ , r] X z ´+ « >` ¦ : x ô Ç y Ó ü t| 9 _ ½ ¨ ¸\ ¦ ì
r$ 3 É r 9 כ ¹ . : £ ¤ y Peroveskite ½ ¨ ¸\ ¦ t H y © Ä »
^ _ â Ä º, B-site s : r _ 0 A y © Ä » ^ : £ ¤f ç \ H
% ò
¾ ÓÜ ¼ Ð Å Òl M :ë H \ x-ray r] X z ´+ « > É r B Ä º × æ כ ¹ [8,10].
∗
E-mail: [email protected]
¢
¸ô Ç y © Ä » ^ H : r ¸ o\ © s & ³ © ` ¦ t
¦ e 6 £ § Ü ¼ Ð : r ¸\ É r ½ ¨ ¸ ì r$ 3 É r Ó ü t| 9 : £ ¤$ í _
"
é
¶ ` ¦ µ 1 ßy H X < × æ כ ¹ô Ç % i ½ + É` ¦ ô Ç [2, 3]. { 9 ì ø Í& h Ü ¼
Ð ¦ : r r] X z ´+ « > © u H ³ ðï r r « Ñ\ ¦ s 6 x # © u
_ : r ¸\ ¦ # QÖ ¼ & ñ ¸ Ð& ñ t ë ß , í ß oÓ ü t _ â Ä º \ P
¸ ¸ B Ä º å ÔÙ ¼ Ð, © u _ : r ¸ü < r « Ñ_ : r ¸
{ 9 u ô Ç ¦ ^ ¦ Ã º \ O . " f, : r ½ ¨\ " f H s
Qô Ç © u _ : r ¸ü < r « Ñ_ : r ¸\ ¦ Ð& ñ l 0 AK ,
É
r Ó ü t| 9 õ ¸ ú ì ø Í6 £ x t · ú § H MgO ì r ´ ú ` ¦ r « Ñ\ 5
% ' # : r ¸\ É r r] X z ´+ « >` ¦ Ã º' % i [11].
: r ½ ¨\ " f 6 x ô Ç r « Ñ H, þ j H Suchomel 1 p x s Ð ¦ ô
Ç, 0.2(BiZn
0.5Ti
0.5O
3)-0.8(PbTiO
3) (0.2BZT-0.8PT) Ð
"
f PbTiO
3r « Ñ\ BiZn
0.5Ti
0.5O
3\ ¦ ' # & ñ ~ ½ Ó$ í (tetragonality)` ¦ ß ¼> 7 £ x r ~ ´Ã º e H כ ` ¦ Ð ¦
% i
H X < [11], s r « Ñ\ : r ¸ Ð& ñ ~ ½ ÓZ O ` ¦ & h 6 x # X-ray
r] X z ´+ « >õ , s r « Ñü < ' a > ) a É r ½ ¨ õ \ ¦ ' a t
#
Q Ó ü t$ í ` ¦ ì r$ 3 # H כ s 0 p x < Ê` ¦ Ðs ¦ ô Ç .
II. ÷ m Ç] M öU ê s0 n É
: r ¸\ É r ½ ¨ ¸ o_ ì r$ 3 \ & h 6 x l 0 AK 0.2(BiZn
0.5Ti
0.5)O
3-0.8(PbTiO
3) r « Ñ\ ¦ ¦ © ì ø Í6 £ x ~ ½ ÓZ O Ü
¼ Ð ] j % i Ü ¼ 9. ï r q ) a r « Ñ\ ¦ s 6 x # Ä » Ö ¦ 8 £ ¤
&
ñ z ´+ « >õ , ¦ : r XRD z ´+ « >` ¦ Ã º' % i . : r ¸\ É r
-209-
Fig. 1. The dielectric constant as a function of the tem- perature at 100 kHz. The ferroelectric phase transition temperature is 585
◦C. The inset shows the x-ray diffrac- tion patterns of (101)/(110) peaks around the phase transition temperatures measured pohang synchrotron source.
Ä
» Ö ¦ 8 £ ¤& ñ É r r « Ñ\ ¦ l Ð\ V , É r Ê ê : r ¸\ ¦ 7 £ x r
&
" f HP4194\ ¦ s 6 x # Ä » © Ã º ° ú כ` ¦ 8 £ ¤& ñ % i
. ¦ : r XRD z ´+ « > É r í ½ Ó ~ ½ Ó F g 5 Å q l 8C2 c
\
" f x-ray r] X z ´+ « >` ¦ % i Ü ¼ 9, \ P < Hz ´ x 9 / B N l í ß ê ø Í
\
_ ô Ç # Q כ ¹ [ þ t` ¦ ] j l 0 A # / B N © I (∼
50 mTorr) \ " f z ´+ « >` ¦ Ã º' % i . ¦ : r XRD z ´+ « >\
"
f r « Ñ_ & ñ S X ô Ç : r ¸\ ¦ · ú l 0 A # , BZT-PT ì r ´ ú r
«
Ñ\ 5 % _ MgO ì r ´ ú ` ¦ ' r & x-ray r] X z ´+ « >` ¦
% i Ü ¼ 9, 15
◦∼ 135
◦(2θ) t y y _ : r ¸\ @ / # 8
£ ¤& ñ % È . y : r ¸\ " f % 3 # Q XRD õ \ ¦ Rietveld refinement < ÊÜ ¼ Ð" f BZT-PT x 9 MgO _ © Ã º\ ¦
½
¨ % i . Rietveld refinement ~ ½ ÓZ O Ü ¼ Ð % 3 # Q MgO
© Ã º\ ¦ : r ¸\ É r © Ã º ' a > d \ @ /{ 9 # r
«
Ñ_ & ñ x 9 ô Ç : r ¸\ ¦ % 3 % 3 .
III. ÷ m Ç] M ö+ s ÇÊ Ý / Í º8 ý
Fig. 1 É r 0.2BZT-0.8PT \ @ /ô Ç : r ¸\ É r XRD x 9 Ä
» Ò ¦ z ´+ « >_ õ \ ¦ Ð# Å Ò ¦ e . Ä » Ö ¦ É r 100 kHz _
§À Ó · ú ` ¦ # : r ¸\ ¦ 7 £ x r v " f 8 £ ¤& ñ
%
i Ü ¼ 9, : r ¸\ É r Ä » Ò ¦ z ´+ « > õ H 585
◦C \ " f y © Ä
» © s { 9 # Q ¦ e 6 £ §` ¦ " î S X y Ð# ï r . Fig.
1 _ ¶ ú o H 31
◦∼ 33
◦_ # 3 0 A\ " f % 3 É r XRD z ´+ « > õ
\
¦ Ð# Å Ò ¦ e Ü ¼ 9, y : r ¸ H © u _ : r ¸\ ¦ ? / ¦ e
. ¶ ú o\ Ø Ô : r ¸ 7 £ x < Ê\ (110)/(011)
`
¦ \ P > ) a . t ë ß ¦ : r XRD _ â Ä º z ´+ « > © q _
6 x ô Ç / B N ç ß s a ? è l M :ë H \ , ç H{ 9 ô Ç : r ¸ ì r 0 Al \ ¦ ]
j/ B N K × ¦ Ã º e H l Ð\ ¦ 6 x t 3 l w ô Ç . s z ´+ « >\
"
f 6 x ) a z ´+ « > © q H © u ü < r « Ñ_ é ß \ P ` ¦ 0 AK © : r
\
" f 10
−3torr _ / B N ì r 0 Al \ " f z ´+ « > 9, ì r ´ ú r
«
Ñ Ð A _ sample holder \ K-type thermocouple\ ¦
© Ã Ì # : r ¸\ ¦ 8 £ ¤& ñ % i . s M :, \ P É r r « Ñ_ ô Ç A á ¤
ë ß \ P ÷ & ¦, Qt É r / B N Ü ¼ Ð ¸¿ º é ß \ P ) a © I s
. s ü < ° ú É r ¸| _ z ´+ « >¨ 8 â É r \ P ¸Ö ¦ s a % ~ t 3 l w ô
Ç í ß oÓ ü t õ ° ú É r r « Ñ H, / B N Ü ¼ Ð é ß \ P ÷ &# Q e H _
ì r ´ ú , 7 £ ¤ z ´] j r] X \ l # H ì r ´ ú r « Ñ_ : r ¸ H thermocouple s ì r ´ ú r « Ñ_ Ð A \ Z ~ # e 8
¸ thermocouples { 9 É r : r ¸ü < H H s \ ¦ t > ) a
. s Ð K Ä » © Ã º 8 £ ¤& ñ \ " f_ r « Ñ_ : r ¸ H ø @
$ í
` ¦ S X Ð ½ + É Ã º e Ü ¼ , ¦ : r XRDz ´+ « >_ r « Ñ : r ¸ H
#
QÖ ¼ & ñ ¸_ Ð& ñ s 9 כ ¹ > ) a . " f, ¦ : r XRD z
´+ « >\ " f_ : r ¸ Ð& ñ ` ¦ 0 A # Ä ºo H ³ ðï r r « Ñ Ð" f MgO ì r ´ ú ` ¦ × þ % i . MgO ì r ´ ú É r É r Ó ü t| 9 \ q K
0 l q H& h s Z } Ü ¼ 9, Z } É r î ß & ñ $ í ` ¦ t ¦ e # Q É r Ó ü t
| 9
õ ì ø Í6 £ x` ¦ ¸ ú t · ú § H © & h s e . ¢ ¸ô Ç MgO\ @ / ô
Ç \ P Ø ½ Ó > Ã º [12,13] 1 p x s ¸ ú · ú 94 R e # Q : r ¸\
É
r © à º ' a > \ ¦ ~ 1 > ½ ¨½ + É e .
Fig. 2 H MgO ì r ´ ú _ © à ºü < : r ¸_ ' a > \ ¦ Ð
#
Å Ò ¦ e . Ä ºo H MgO _ © à ºü < : r ¸_ ' a > \ ¦ 2 < Êà º
Y = a + bx + cx
2(1)
Ð ? /% 3 ¦, 30
◦C \ " f  Ò' 1000
◦C t _ © Ã
º\ É r : r ¸ < Êà º\ ¦ % 3 ` ¦ à º e % 3 . s X O > % 3 # Q MgOì r ´ ú _ © à ºü < : r ¸ü <_ ' a > \ ¦ s 6 x # ¦
: r XRD z ´+ « >\ " f % 3 # Q 0.2BZT-0.8PTì r ´ ú _ õ \ ¦ Rietveld refinement [14] ~ ½ ÓZ O Ü ¼ Ð ì r$ 3 < ÊÜ ¼ Ð+ & ñ S X ô Ç r
« Ñ_ : r ¸\ ¦ % 3 H X < & h 6 x > ) a .
Fig. 2. The lattice constant of the MgO powder as a function of the temperature (closed circles). The solid line is the fitting of the lattice constant using a second order polynomial function of the temperature.
Fig. 3. The Rietveld refinement analysis for PAL X-ray diffraction data at two different temperatures: (a) The tetragonal structure at room temperature and (b) The cubic structure at high temperature (higher than T
C).
Ä
ºo H ¦ : r z ´+ « >_ > l ¸ \ ¦ × ¦ s l 0 A # , 0.2BZT-0.8PT r « Ñü < MgO ì r ´ ú ` ¦ y y z ´+ « >` ¦ t
Fig. 4. The calibrated temperature of the sample by using the MgO powder (closed circle) and un-calibrated temperature of the sensor reading (the solid line). Note that the temperature difference between sample and in- strument increased as the temperature increased.
· ú
§ ¦, r « Ñ ? /\ 5 %_ MgO ì r ´ ú ` ¦ ' < ÊÜ ¼ Ð+ 1 l x{ 9 ô
Ç ¨ 8 â \ " f z ´+ « >` ¦ Ã º' % i . r] X z ´+ « > õ \ ¦ ì r$ 3
H X <\ & h 6 x ô Ç Rietveld refinement ~ ½ ÓZ O É r z ´+ « > õ ü
< > í ß ÷ &# Q & ñ ½ ¨ ¸ü < © u כ ¹ \ l íô Ç ¸4 S q s
_ s \ ¦ þ j è o ¸2 ¤ Ã º\ ¦ × þ # Ó ü t o & h _ p
\ ´ ú ¸2 ¤ or & ì r ´ ú r « Ñ_ & ñ ½ ¨ ¸\ ¦ [ jy
¬
¹ H ~ ½ ÓZ O s . X-ray r] X Á º] (\ " f & ñ _ © Ã
º H ì r ´ ú r « Ñ\ " f & ñ _ ß ¼l ü < & ñ s \ " f 6 x
H © § 4 1 p x \ _ K % ò ¾ Ó` ¦ ~ Ã Î H . Ä ºo H Rietveld refinement ~ ½ ÓZ O ì r$ 3 \ e # Q" f, Thomsom Pseudo-Voit profile < ÊÃ º\ ¦ 6 x # r] X Á º] (_ + þ AI ü < & ñ _ ß ¼ l
\ _ ô Ç ´ òõ \ ¦ ì r$ 3 % i ¦, 0.2BZT-0.8PTì r ´ ú r « Ñ _
p [ j½ ¨ ¸ ì r$ 3 ` ¦ 0 AK P. W. Stephens < ÊÃ º\ ¦ s 6 x
#
anisotropic-strain כ ¹ ` ¦ Ð& ñ % i [15]. s X O > r ] X
Á º] (\ % ò ¾ Ó` ¦ Å Ò H ` ¦ ¸¿ º Ð& ñ # MgO ì r ´ ú _
& ñ S X ô Ç © Ã º\ ¦ y y _ : r ¸\ " f % 3 ` ¦ Ã º e % 3 .
Fig. 3 É r © : r _ tetragonal © õ ¦ : r _ Cubic © \
"
f à º' ô Ç Rietveld refinement ô Ç õ \ ¦ Ð# Å Ò ¦ e
. y y 0 AA á ¤ \ Õ ª 9 0.2BZT-0.8PT_ © õ A A á ¤ \ Õ
ª 9 MgO © _ Bragg-peak 0 Au \ ¦ ^ ¦ Ã º e Ü ¼ 9, > í
ß ° ú כõ 8 £ ¤& ñ ° ú כ, Õ ªo ¦ Õ ª s \ ¦ ¿ º Õ ªa Ë >\ " f ^ ¦ Ã º e
.
Fig. 4 H MgO ì r ´ ú _ © Ã º\ ¦ s 6 x # Ð& ñ ô Ç r
« Ñ_ : r ¸ü < © u РÒ' { 9 É r : r ¸\ ¦ q § l 0 AK
? /% 3 . z ´ É r © u _ : r ¸ü < r « Ñ_ : r ¸ ° ú ` ¦ M
: ± ú Ã º e H õ s . Ä ºo % 3 É r r « Ñ_ : r ¸
H Ï ã T É r " é ¶ Ü ¼ Ð ³ ðr ) a & h s 9, s & h É r ¦ : r Ü ¼ Ð ° ú Ã º
Fig. 5. The ferroelectric transition temperatures from four different experiments: Dielectric constant mea- surement (open diamond), dielectric constant measure- ment from reference (filled diamond), synchrotron x-ray (SXRD) measurement without temperature calibration (open circle), SXRD measurement with temperature cal- ibration (closed circle), respectively.
2
¤ & h & h © u _ : r ¸ü < H H s \ ¦ Ðs ¦ e . s õ
\ ¦, q 5 p w ô Ç ¸$ í _ y © Ä » ^ s 9 · ú ´ òõ B Ä º ß ¼
¦ High-T
cÓ ü t| 9 Ð · ú 9 Pb(Zr
0.52Ti
0.48)O
3\ & h 6 x K
: r , s Ó ü t| 9 _ y © Ä » © s : r ¸ 400
◦C H %
\
" f ¸ 90
◦C s © _ H : r ¸ s \ ¦ Ð{ 9 Ã º e .
"
f © u ÐÂ Ò' r « Ñ_ : r ¸\ ¦ { 9 H כ ë ß Ü ¼ Ð H þ j H y F
g ~ Ã Î H y © Ä » Ó ü t| 9 , : £ ¤ y High-T
cÓ ü t| 9 _ ½ ¨ ¸ ½ ¨\
&
h
6 x H כ É r j Ë µ[ þ t H כ ` ¦ · ú Ã º e Ü ¼ 9, s & h s : r
½ ¨ l # ½ + É Ã º e H Â Òì r s .
Fig. 5 H : r ½ ¨\ " f 8 £ ¤& ñ ô Ç Ä » © Ã º õ ü <, Ã Ð ¦ ë
H ³ [13] _ Ä » © Ã º 8 £ ¤& ñ õ , Õ ªo ¦ : r ¸ Ð& ñ ` ¦ t
· ú § É rX-ray r] X z ´+ « >, : r ¸ Ð& ñ ` ¦ 2 ; X-ray r] X z
´+ « >\ " f_ © s : r ¸\ ¦ < Êa · p כ s . Ä » © Ã
º\ ¦ 8 £ ¤& ñ ô Ç ¿ º z ´+ « > ¸¿ º q 5 p w ô Ç © s : r ¸\ ¦ Ðs ¦ e
. t ë ß : r ¸ Ð& ñ ` ¦ u t · ú § É r X-ray r] X z ´+ « >
_
© s : r ¸ H 160
◦C _ : r ¸ s \ ¦ Ð# Å Ò ¦ e
. ì ø Í , : r ½ ¨\ " f à º' ô Ç MgO ì r ´ ú ` ¦ s 6 x ô Ç : r ¸
Ð& ñ ` ¦ u , Ä » © Ã º 8 £ ¤& ñ z ´+ « >\ î r © s : r
¸\ ¦ Ð# Å Ò ¦ e 6 £ §` ¦ · ú Ã º e .
IV. + s Ç Â ] Ø
í
ß oÓ ü t r « Ñü < ° ú s \ P ¸Ö ¦ s a % ~ t · ú § É r r « Ñ H ¦
: r X-ray r] X z ´+ « >` ¦ à º' ½ + É M : © u _ : r ¸ü < r « Ñ_
: r ¸ s \ H : r ¸ s µ 1 ÏÒ q tô Ç . s : r ¸ s \ ¦ Ð
s
7 Hë H É r  Òí ß @ / < Æ § Ä »õ ] j < ÆÕ ü t ½ ¨q (2¸ )\ _
# ½ ¨÷ &% 3 6 £ §.
Y
c p w à U Ø ô
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Cheong, Phys. Rev. Lett. 75, 3336 (1995).
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Sample-temperature Calibration for High-temperature XRD Using MgO Powder
Bongju Kim, Daeyoung Kwon, Junyoung Jo, Youngsu Wu and Bog G. Kim
∗Department of Physics, Pusan National University, Busan 609-735
(Received 4 February 2008)
A temperature-calibration method for X-ray powder scattering using a MgO powder has been demonstrated experimentally. The temperature-dependent lattice parameter of the MgO standard material is well known. By adding 5 % MgO as a calibration material, we performed X-ray scattering measurement on a 0.2(BiZn
0.5Ti
0.5O
3)-0.8(PbTiO
3) sample to check the structural phase transition.
A full-pattern rietveld refinement was applied to obtain the lattice constant of the MgO powder.
The exact temperature of the specimen could be obtained from a polynomial fitting of the lattice constant of the MgO powder at each temperature. The current method can be generally applied to various X-ray experiments at high temperatures.
PACS numbers: 41.60.Bq, 61.12.Ld, 77.84
Keywords: Rietveld refinement, Temperature calibration of XRD, MgO reference powder
∗