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dual, high psrr, 200ma low dr opout regulat o r pt5128 general description the pt 5 1 2 8 i s a du al cha nne l l o w- dr o p o u t vol t a ge re gul at or desi g n e d f o r p o rt a b l e an d wi rel e ss a ppl i c at i ons t h at r e qu ir e h i gh psrr, low qu iescen t cur r en t an d ex cellen t li n e an d lo ad tran sien t r e sponse. th e pt51 28 is stab le w ith a sm a ll 1 f cera m ic cap acito r o n t h e ou tpu t . w ith its b e tter th an 75 d b psrr at 1 k hz, th e pt5 128 is id eal for b a tt ery po we red sy st em s t o del i v er l o w d r o p out vol t age and l o w quiescent c u rre n t. this d e vice can be used for mobile phone a nd similar b a tter y po wered wir e less applica tions. it pr ovides up to 20 0ma at each channel, from a 2.5v to 5.5v input. the pt51 28 consumes less than 0.1a in shutdow n mode. the pt5128 is availab l e in 6 pin sot23 packag e. the output voltage is av ailabl e at 1 . 5v, 1 . 8v, 2.5v, 2.8v, 3.0v and 3.3v . fea t ures z -40c to +8 5 c ju nc ti on te m p erature for opera ti on z 2. 5v t o 5. 5 v i n p u t ran g e z 200m a guara n teed output c u rrent (eac h l d o) z 62 db p s r r @ 1 k h z, v in = v out + 1v 58 db p s r r @ 1 0 k hz, v in = v out + 1v z low quiesce nt curr en t: 6 0ua (t yp .) z 1 8 0 m v m a x i mu m d r opo u t voltag e w ith 100m a lo ad z < 1 u a qui esce nt cu rre nt at s h ut d o w n m ode z fast tu rn on time: 7 2 u s (typ i cal) z th erm a l sh u t do wn and sho r t-circu it curren t li mit z 1. 5v , 1 . 8 v , 2. 5v , 2 . 8 v , 3. 0v , 3 . 3 v t y pi cal o u t p ut st anda rd z m i ni at ure s o t - 2 3 - 6 package applica t ions z c d m a / g sm m obi l e pho nes z co rd less teleph on es z wl an an d b l uet o ot h a p pl i a nces z pdas/mp3 z b a t t e ry po were d po rt abl e de vi ces typical applica t ions* key performan ce 1 k 10k 10 k -75 -70 -65 -60 -55 -50 -45 -40 -35 r i pp le r e j e cti on (d b) frequency (h z ) ri ppl e re j e ct i on vs fr eque n c y v in (d c ) = 3. 8v v in (a c ) = 200 m v v out = 2. 8v c out = 1 u f 100 v in v en 1 v en 2 gn d v ou t1 v ou t2 v in v out 1 v ou t 2 c in 1u f c ou t 1 1uf c out 2 1uf *not e c ou t 1 , c ou t2 : recommended c eramic c a pacit o r orderin g informa t ion* p a ck age t e m p eratur e ra ng e channe l-1 output v o lt age (v) channe l-2 output v o lt age (v) part num b er p a ck age t e m p eratur e ra ng e channe l-1 output v o lt age (v) channe l-2 output v o lt age (v) part num b er s t andard part s non-s t and a rd p a rt s 2. 8 2 . 8 pt 51 2 8 e 2 3f-a 3. 0 3 . 0 pt 51 2 8 e 2 3 f - b 2. 8 2 . 5 pt 51 2 8 e 2 3f-d 2. 8 3 . 0 pt 51 2 8 e 2 3 f - c 2. 8 1 . 8 pt 51 2 8 e 2 3f-e 3. 0 2 . 5 pt 51 2 8 e 2 3 f - j 2. 5 2 . 5 pt 51 2 8 e 2 3 f - f 3. 0 1 . 8 pt 51 2 8 e 2 3f-k 2. 5 1 . 8 pt 51 2 8 e 2 3f-g 1. 8 1 . 5 pt 51 2 8 e 2 3 f - m 3. 3 2 . 5 pt 51 2 8 e 2 3f-h 3. 0 3 . 0 pt 51 2 8 e 2 3 f - b so t - 23- 6 -40 to 85 3. 3 1 . 8 pt 51 2 8 e 2 3 f - i so t - 23- 6 -40 to 85 2. 8 3 . 0 pt 51 2 8 e 2 3 f - c * all par t s are supplied as 3000 units , tape and r e el. p a g e 1 www.micro-bridge.com
pt5128 dual, high psrr, 200ma low dr opout regulat o r pin assignment pin descriptions sy mbol sot23-6 de sc r i ption v in 5 i n p u t o f l d o g n d 2 g r o u n d v en1 4 ldo1 enable in put log i c, en able high v en2 3 ldo2 enable in put log i c, en able high v out1 6 o u t p u t of l d o 1 v out2 1 o u t p u t of l d o 2 3 2 1 4 6 v en2 gnd v ou t2 v en 1 v ou t 1 so t 23-6 5 pt 51 28 v in simplifi ed bl ock dia g ram v in gnd v ou t 1 v ou t2 c u rr ent li mit therm al shutdo wn vol t ag e r e f erence v en 1 c u rre n t li mit vo lta g e re fe r e nc e v en 2 ra 1 ra 2 rb 1 rb 2 figu r e 1 . major function a l b l ock s in th e pt5128 in figure 1 , th e block of voltag e ref e rence pro v ides the referen c e voltag e of the ldo. the op- amp blo c k is used as th e error am plif ie r of th e ldo which co mpares the outp u t f eedback voltage with the referen c e. i t s output contr o ls the g a te of a large pmos pass element and h e r e b y ad justs th e output voltag e . the re sistor ra 1 and ra 2 (or r b 1 , rb 2 ) form a voltage divider to p r ovid e th e f eedb ack v o ltag e . t h e c u r r e nt l imi t b l oc k se n s es t h e l do o u t pu t c u r r e nt and limits the ou tput cu rrent fro m being too hig h . th is is most ly a short c i rc ui t protection f eatur e. absol u te maxi mum ra tings p arameter v a lue unit v in range -0.3~6.0v v v out1 , v out2 ra nge -0.3~(v in +0.3)< 6.0v v v en 1 , v en 2 range -0.3~6.0v v ma xi mum powe r dissipation (note1) sot23-6 3 6 0 m w junction t e mp. 1 5 0 c s t orage t e m p . - 6 5 ~ 1 5 0 c lead t e m p . (no t e2) 2 3 5 c esd rating, hbm 2 k v p a g e 2 www.micro-bridge.com pt5128 dual, high psrr, 200ma low dr opout regulat o r opera t ing range p arameter v a lue unit v in range -0.3~ 5 .5v v v en 1 , v en 2 range -0.3~(v in + 0 . 3 ) < 5 . 5 v v therm a l r e sista n ce, ja sot23-6 2 2 0 c / w ma x i mu m po we r dissipation (note3) sot23-6 2 5 0 m w o p eration t e m p . - 4 0 ~ 8 5 c electri cal chara c teristics u n les s otherw is e s p ec ifi e d: v in = v out(nom) + 1.0v , v en1 = v en1 = v in , c in = 1uf , i out = 30m a, c out1 = c out2 =1uf , t a = +25c. (note 4) ( n ote5) sy mbol paramet er condi ti ons ty p . min. max. uni t output v o ltage error i out = 1m a -2 2 %v out line regulation error i out = 30m a, v in =(v out (nom) + 0.5v) to 5 . 5v 0 . 0 3 - 0 . 2 0 . 2 % / v ? v out load r e gulation error (note 6) i out = 1m a to 2 00m a 15 5 0 m v i outmax maxim u m output current 2 0 0 m a f = 100hz i out = 50m a 72 f = 1khz i out = 50m a 62 psrr power supply r e jection ratio (note 7) v in = v out(nom) + 1.0v v in ( a c ) = 0.2v f = 10khz i out = 50m a 58 db i out = 0m a v out = 2.5v 60 1 10 i q q u iescent curre nt v en = 0v 0.1 1.0 ua i out = 50m a 55 80 v di ff dropout v o ltag e i out = 100m a 108 150 mv i sc output short current lim it v out1 or v out2 grounded 300 m a t on t u rn-on t i m e ( n ote 8) 72 us v il maxim u m low input leve l a t v en1 and v en2 v in = 2 . 5 t o 5. 5 0 . 4 v v ih minim u m high input leve l a t v en1 and v en2 v in = 2 . 5 t o 5. 5 1 . 4 v therm a l shutdo wn t e m p er ature 1 6 0 c ts d therm a l shutdo wn h y ster esis 2 0 c ? v out / v out v out t e m p eratu r e charac terist ics t e m p er ature = - 40 to 125 o c 77 ppm /c p a g e 3 www.micro-bridge.com pt5128 dual, high psrr, 200ma low dr opout regulat o r note 1 : t h e absolute m a xim u m power dissipation depe nds on the am bien t te m p er ature and c a n be calcu lated using the form ula: p d =(t j -t a )/ ja , where t j is the junction te m p erature, t a is the a m bient t e m p eratur e, and ja is the junction- to- a m b ient therm a l resistance. t h e 364m w rati n g f o r sot23-6 appearing under absolute maxi m u m ratings results fro m substituting the abso lut e maxi m u m juncti on te m p e r ature, 150 ? c, for t j , 7 0 ? c for t a , and 220 ? c/w for ja . m o r e p o wer can be dissipated safely at a m b i ent te m p er atures below 70 ? c. l e ss power can be dissipated safely at am bient tem p er atu r es above 70 ? c. the absolute maxim u m power dissipation can be increased by 4.5 m w f o r each degree below 70 ? c, and it m u st be derated b y 4.5 m w for each d e gree above 70 ? c. note 2 : additional inform ation on lea d te m p eratur e and pad te m p erature may be obtained by contact cr powt ech note 3 : l i ke the absolute m a xim u m power dissipation, the m a xi m u m pow er dissipation for oper a tion depends on the am bient tem p er atur e. th e 250 m w rating for sot23-6 appearing under op erating ratings results fro m substituting the m a xi m u m junction te m p erature for opera tion, 125 ? c, for t j , 7 0 ? c for t a , and 220 ? c/w for ja above. m o r e power can be dissipated at a m bient tem p er atur es below 70 ? c. l e ss power can be dissipated at am bient te m p eratur es above 70 ? c. the m a xi m u m po wer dissipation f o r operation can be increased by 4.5 m w f o r each degree below 70 ? c, and it m u st be derated by 4. 5 m w for each degr ee above 70 ? c. note 4 : the tar g et output voltage, which is labeled v out (n o m ) , is the desir e d voltage option. note 5 : all lim its ar e guar a nteed. all electr i cal character i stics having r o o m - t e m p e r a tur e lim i ts are tested during pr oductio n with t j = 25 ? c or correlated using s t atistical quality c ontrol (sqc) m e th ods. all hot and c o ld li m its are guaranteed by correlati ng the elect rica l c h aracteristics t o pr ocess and tem p er atur e var i ations and apply i ng statistical pr ocess contr o l. note 6 : an increas e in the load cur r e nt r e sults in a slight decr ease in the output voltage and vice ver s a. note 7 : t h e prss is m e asur ed by apply i ng a 400 m v p- p sine wave on v in and m easur e the ripple at v out ( s ee figur e 2) . due to the ver y high psrr perform a nc e of the pt5128, it is strongl y reco m m e nded to use a spectru m anal y z er ra the r than an oscilloscope to w a tch the psrr per f orm a nce. 400mv v in =v ou t(no m) +1v figur e 2. gr aph show the sine waveform added on v in to m e asure psrr note 8 : dr opout voltage is the input- t o- output volta ge differ e nce at whic h the output voltage is 100 m v below its no m i nal value. t h is specification does not apply fo r input voltages below 2. 5v. note 9 : turn-on ti m e is ti m e m easured between th e enable input just exc eeding vih and the output v o ltage just reaching 95% of its no m ina l value. p a g e 4 www.micro-bridge.com pt5128 dual, high psrr, 200ma low dr opout regulat o r typical performance chara c teristi cs unless ot herwi s e speci fied: v in = v out(no m ) + 1v , v en1 = v en2 = v in , c in = c out1 = c out2 =1 uf ce ram i c t a = +25c . 0 5 0 1 00 15 0 200 40 60 80 10 0 12 0 14 0 16 0 18 0 20 0 22 0 g r ou n d c u rren t (u a) load c u rrent (ma ) gro und cur r ent vs lo ad c u rrent 30 c in = c out = 1uf v en 1 = v in v en 2 = gnd v ou t 2 = 2.8v v in = 3. 8v 2 . 5 3 .0 3 . 5 4 .0 4 . 5 5 .0 5 . 5 20 40 60 80 100 120 140 160 180 200 220 240 260 280 g r o u n d cu rr e n t (u a ) input voltage (v) g r oun d c u r r e nt vs i n p u t v o ltag e c in = c out = 1uf v en 1 = v in v en 2 = g n d v out 2 = 2. 8v - 4 0 - 20 0 2 0 4 0 6 0 8 0 100 120 1. 78 6 1. 78 8 1. 79 0 1. 79 2 1. 79 4 1. 79 6 1. 79 8 1. 80 0 1. 80 2 1. 80 4 1. 80 6 outp ut vo ltage ( v ) temperature ( o c) ou t p u t vo l t ag e t e mp era t u r e ch arac t e ri st i c s c in = c ou t = 1uf v en = v in v ou t = 1. 8v -40 - 20 0 2 0 4 0 6 0 8 0 100 120 2. 78 0 2. 78 5 2. 79 0 2. 79 5 2. 80 0 2. 80 5 2. 81 0 2. 81 5 2. 82 0 ouput vo l t a g e (v) temp erature ( o c) ou t p u t vo l t ag e te mp era t u r e ch arac t e ri st i c s c in = c out = 1 u f v en = v in v ou t = 2 . 8 v 50 100 15 0 2 0 0 0 50 100 150 200 250 300 d r op out v o ltag e (m v) load cur r ent (ma ) dr opout voltag e vs loa d cur r ent 1 1k 10k 10k -75 -70 -65 -60 -55 -50 -45 -40 -35 rip p le r e ject i on (db) frequ e ncy ( h z ) rip p le re jection vs fre quenc y v in (dc ) = 3 . 8 v v in (ac ) = 200 mv v out = 2. 8v c out = 1 u f 10 0 p a g e 5 www.micro-bridge.com pt5128 dual, high psrr, 200ma low dr opout regulat o r typical performance chara c teristi cs ena b le v o ltag e (0 . 5 v/d i v) outp ut vo ltage ( 0 .5v/ div) t i m e ( 2 5u s / d i v) e n ab l e s t art- u p t i me c in = c out = 1uf i l oad = 50ma 2. 4 2. 6 2. 8 3. 0 3. 2 3. 4 3. 6 3. 8 4. 0 4. 2 4. 4 4. 6 4. 8 out p ut vo lta g e ( v ) t i me (2 00 us / d iv) l i n e t r a n si e n t r e spon se c in = c out = 1u f v en = v in i l oad = 50 ma o u tput vo lta ge d e via tion ( 20m v / di v ) t i m e (1 0m s / d i vv ) cr o s s t a l k 15 0 0 30 0 45 0 60 0 l o ad c u r r ent ( m a ) out p u t 2 ( 1 . 8 v) out p u t 1 ( 2 . 8 v) t i m e ( 2 5u s / d i v) loa d t r ans i ent re spons e output v o ltag e de viati o n ( 1 0mv / d i v ) l o ad c u rre n t (m a) 150 0 30 0 45 0 60 0 c in = c out = 1 u f v en = v in v in = v out + 1 v p a g e 6 www.micro-bridge.com dual, high psrr, 200ma low dr opout regulat o r pt5128 applica t ion inf o rma t i on in pu t cap ac it or an i n pu t cap acito r of 1. 0 f i s requi re d bet w een t h e pt5 1 2 8 v in and g nd pi n. thi s capaci t o r m u st be located within 1cm distance from v in pin and connected to a clear ground . a ceram ic capacitor is recomm ended alth o ugh a goo d qu ality tan t alu m o r fil m m a y b e u s ed at th e inpu t. howev e r , a tan t alu m cap acito r can suf f er catastrophic fa ilures due t o s u r g e c u rre nt when c o nnected to a l o w i m pedance po we r s u p p l y ( s uc h as a bat t e ry or a very lar g e capa c itor). there i s n o re qui rem e nt fo r t h e esr o n t h e i n put ca paci t o r , but tole rance and tem p erature c o e f ficient m u st be co nsid ered in o r d e r t o en su re th e cap acito r work with in t h e operation range over the full ra nge of t e m p erature a n d ope rat i n g c o n d i t i ons. outp ut ca p a cit o r in app licatio n s , it is im p o r tant to select t h e o u t p u t cap acit o r to k e ep th e pt512 8 in stable op eration . th e ou tpu t capacitor m u st m eet all the requi rem e nt s sp ecified in th e follo wing reco mmen d e d cap aci to r tab l e o v e r all co n d itions in ap p lication s . th e m i n i m u m cap acitan ce fo r stab ility an d co rrect o p e ratio n is 0 . 6 f . t h e capacita nce t o lera nce shoul d be 3 0 % o r bet t e r ov er t h e o p er at i o n t e m p erat ure r a nge . th e recommen d e d cap a cito r typ e is x7 r to m eet th e full device temperat ure speci fication. recommende d output capacitor (c out ) typ min ma x unit c a paci t a n c e 1 . 0 0. 6 1 0 f esr 0 40 0 m ? th e cap acito r ap p lication con d ition s also in clud e dc -b ias, frequ e n c y an d tem p erature. un stab le o p e ratio n wil l resu lt if th e cap acitan ce d r ops b e l o w m i nimum specified value (see the next section cap acito r ch aracteristics). th e pt512 8 is d e si g n e d t o wo rk with v e ry small cera m ic o u t pu t cap acito rs. a 1 . 0 f capacito r (x7 r typ e ) with esr t y pe bet w een 0 a n d 4 00m ? is su itab l e in t h e pt51 28 app lication s . x5 r cap acito rs m a y b e used bu t h a v e a nar r o w t e m p er at ure ran g e . w i t h t h ese a n d ot her capaci t o r t y pes ( y 5v , z6 u) t h at m a y be use d , sel ect i o n rel i e s o n t h e rang e o f op eratin g con d ition s an d tem p eratu r e ran g e fo r a sp ecified app licatio n . it m a y al so be pos si bl e t o use t a nt al um o r fi l m capaci t o rs at t h e out put , but t h ese a r e n o t a s go o d f o r rea s ons of size and c o st. it i s al s o rec o m m e nded t h at t h e out put ca pa ci t o r be l o cat e d wi t h i n 1cm from t h e o u t p ut pi n a n d ret u r n t o a cl ean g r ou nd w i r e . ca p a cit o r ch a r a c te risti c s th e pt5 128 is d e si g n ed to work with cera m i c cap acito r on th e ou tpu t to tak e adv a ntag e o f th e b e n e fit t h ey of fer: f o r ca pa ci t o r val u e s fr om 1.0 f to 4.7uf ra nge , c e ra m i c capacitors are t h e sm allest, least e x pe nsive a n d ha ve t h e l o west e s r val u es ( w hi ch i s g o o d f o r el im i n at i ng hi gh f r eq ue ncy noi se ). the e s r o f a t y pi cal 1u f ce ram i c cap acito r is in th e rang e o f 20m ? to 40 m ? t h at easily satisfies th e esr req u i rem e n t fo r stab ility b y th e pt512 8. for b o t h i n put an d out put ca paci t o rs care f u l un de rst a n d ing th e cap acitor sp ecificatio ns is req u i red to en su re correct device ope ration. the capacitor value can cha n ge greatly bec a us e of t h e ope rat i ng co n d i t i on and ca paci t o r type. in pa rticular the output capacitor selecti on s h oul d take account of all the cap acitor pa ram e ters to ensure that the sp ecification is satisfied for th e app licatio n. cap acitor v a l u es can v a ry with dc b i as co nd itio ns, tem p eratu r e, an d fre que ncy of o p erat i o n. c a pa ci t o r val u es wi l l al so dem onst r ate som e dec r ease ove r tim e due to agi n g. the ca pacitor param e ters are also de penda n t on t h e parti c ular cas e si ze with sm aller size givi ng poo r e r p e rf or m a n ce f i gu r e s on gene ral . as a n exam ple, the following figure s h o w s a t y pi cal gra p h s h owi n g a c o m p arison of capacitor case sizes in c a paci t a nce vs . dc b i as pl ot . as s h ow n i n t h e gr ap h, as a result of t h e dc bias condition t h e ca pacitance val u e m a y dr o p bel o w t h e m i nim u m capaci t a nce val u e gi ve n i n t h e re co m m e nded ca paci t o r t a bl e. i t is also recom m ended that the ca pacitor manufact ure ? s speci fication fo r th e no rm al v a lu e cap acitor are co n s u lted for all co nd i tio n s as so m e capacitor sizes may not be s u itable in t h e act ual applica tion. p a g e 7 www.micro-bridge.com pt5128 dual, high psrr, 200ma low dr opout regulat o r figur e 3 . t y pi cal vari at i o n of capaci t a nce vs . dc bi as the ce ram i c c a pacitor?s ca pa citance can va ry with tem p erature. the capa c ito r type x7r , which operat es over a te mperat ure ra nge of -55 ? c t o +125 ? c, will o n l y v a ry th e cap acitan ce to with in 15 % . th e cap acito r t y p e x5 r h a s a sim ilar tolerance over a re duc ed tem p erature ra nge of -55 ? c to +85 ? c. most large value ceram ic capacitors () 2.2f) are m a nufactured with z5u or y5v tem p er ature c h aracteri s tics. their ca pacitan ce can drop by m o re tha n 50% a s the te mperat ure goes from 25 ? c to 8 5 ? c . t h er ef ore x7r i s rec o m m e nded o v e r z 5 u a n d y 5 v i n a ppl i cat i ons wh ere t h e a m b i en t tem p e r atu r e will ch an g e sign ifican tly ab ov e o r b e l o w 25 ? c. tantalum capacitors are less desira ble than ceram ic for use as out put capacitors because they are m o re expe nsi v e whe n c o m p ari n g e qui val e nt ca pa ci t a nce an d v o l t a ge rat i n gs i n t h e 1 f t o 4 . 7 f ra ng e. an ot he r i m po rt ant c onsi d er at i on i s t h at t a nt al um capaci t o rs have hi g h er esr val u es t h a n eq ui v a l e nt si ze ceram ics. th is m ean s th at while it may b e p o ssib l e to find a tan t alu m cap acito r with an esr v a lu e wit h in th e stab le ran g e, i t w oul d ha ve t o be l a r g er i n ca paci t a nce ( w hi c h m e ans bi gge r and m o re c o stly) t h an a ce ram i c capacitor with th e sam e esr v a lu e. it shou ld also b e n o ted th at th e e s r of a typic a l tantalum will increase a b out 2: 1 as t h e t e m p erat ure g o e s f r om 25 ? c do wn t o ? 40 ? c , so s o m e gua rd ban d m u st be a l l o wed . no -loa d s t ability th e pt512 8 will re m a in stab le and i n regu latio n with no ex tern al lo ad . th is is esp ecially i m p o r tan t i n cmos ram k e ep-aliv e ap p lication s . on/off i n p u t ope r ation th e pt512 8 is tu rn ed of f b y pu llin g t h e v en pi n l o w , a n d t u rne d o n by p u l l i ng i t hi g h . if t h i s f u nct i o n i s not use d , t h e v en pi n sh o u l d be t i ed t o v in to keep th e regu lator o u t p u t on at a ll ti m e . to assu re prop er o p e ratio n, th e si gnal s o urce u s ed t o dri v e t h e v en in pu t m u st b e ab le to swi n g abov e an d belo w t h e sp ecified turn-on / off v o ltag e th resh o l d s listed in th e electrical characteris tics section under v il and v ih. p a g e 8 www.micro-bridge.com pt5128 dual, high psrr, 200ma low dr opout regulat o r p a g e 9 p a cka g e informa t ion sot 2 3- 6 millim eters inche s sym b ol mi n m ax mi n m ax a 1 . 050 1 . 250 0 . 041 0 . 049 a1 0 . 000 0 . 100 0 . 000 0 . 004 a2 1 . 050 1 . 150 0 . 041 0 . 045 b 0 . 300 0 . 400 0 . 012 0 . 016 c 0 . 100 0 . 200 0 . 004 0 . 008 d 2 . 8 2 0 3. 0 2 0 0. 1 1 1 0. 1 1 9 e 1 . 500 1 . 700 0 . 059 0 . 067 e 1 2 . 6 5 0 2. 9 5 0 0. 1 0 4 0. 1 1 6 e 0 . 950 t y p 0 . 037 t y p e1 1 . 800 2 . 000 0 . 071 0 . 079 l 0 . 700 r e f 0 . 028 r e f l1 0 . 300 0 . 600 0 . 012 0 . 024 0 8 0 8 d b e1 e e e1 a a2 a1 l c l1 0. 2 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