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g 7 / j ^;P o @ : O/ V;P C A / @ N;P J ? B / @ B F;P G K E / ! >;P O F P !/ d# 6;R Q ! 8 / B ! .;P ! A _! 9 / q- b! &;P g! B ! ; / F ! ;P ! D ! < / u ! ;P ! E 7" = / :" ;P ?" F " > / " ;P " G " ? O / " :P " H # @ o / " # :P # I W# C L 5/ Z# :R _# M # D d/ # :P # N # 6 / s @ # :P # ? /$ K -I 2$ :P 7$ S w$ L ~ z$ :P $ T $ M -b $ :P $ U % P : % :P % V O% Q : R% :P W% W % R + % :P % X % S O + % : % Y '& T o @ *& :P /& Z o& J -s: @ r& :P w& R & s @ & :P & & 3t3 3t3 /' Q@ Q@ g' "" "" ' 1 1 ' ( " " G( " " ( ( ( 5` U : ( : ( ?) &` S B) n: G) {) h XY #C ;f!%~)3* 6*&~*)& *g&H+&wV+ &+ wf!g+ w ., v,,-N- -2 & -C&$ &.r5S%n.&s.. ;+s* J) Dp4 v* f:R {* * J) D4 * ^:R * + J) D4 + V:R + K+ J) :D4 N+ N:R S+ + J) xDY4 + F:R + + J) )" # + >:R + #, J) : ! &, 6:R +, k, J) i J n, .:R s, , J) j , &:R , , J) { , :R - C- J) F- :R K- - J) 5% - :R - - J) D 4 - :R - . J) D 4 . 9R #. c. J) SC f. 9R k. . J) 6D4 . 9R . . 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"@ "A B C #D b#E J F J 2&K #L :$M $P $Q %R Z%S %T %] b c 2 d z e f g R h i j * k r l m n J " j B b : Z 2 z& & & 2' j' ' ' ( J( ( ( ) 6* ~* * + V+ + + ., v, , - N- - - &. n. . . 0 0 1 F0 f1 1 1 >2 2 2 3 ^3 3 3 64 ~4 J) 4 4 65 n5 F/ h 5 5 66 ~6 6 7 V7 7 7 .8 v8 31 Ga? 20 Ca' ) Al = 13 Al{ Q 14 Si e 15 P+ y 16 S 17 Cl Helium 2 He 19 K 11 Na3 Argon 18 Ar 12 Mg 22 Ti 3 21 Sc G 32 Ge [ 28 Nic o 27 Co 26 Fe 25 Mnk 24 Cr ! 23 V " 34 SeG # 33 As $ 30 Znw % 29 Cu & H -' 1 Hg A( 35 Br O) Krypton c* 36 Kr[ w+ 49 In , 38 Sra - 37 Rb . 40 Zr / 39 YI 0 50 Sn/ 1 46 Pd 2 45 Rh 3 44 RuQ +4 43 Tc ?5 42 Mo S6 41 NbY g7 52 Te {8 51 Sb 9 48 Cd : 47 Ag ; 53 I7 < Xenon = 54 Xe > 81 Tl ? 56 Ba @ 55 Cs ' A 72 Hf+ ; B 57* La O C 82 Pbi c D 78 Pt w E 77 Ir F 76 Os G 75 Re H 74 W? I 73 Ta J 84 Po K 83 Bi L Mercury M 80 Hg % N 79 AuS 9 O 85 Atq E P Radon Y Q 86 Rn m R 88 Ra S 87 Fr T 104 Rf[ U 89^ Ac V 109 Une W 108 Unoe X 107 Uns Y 106 Unh Z 105 Haq # [ 66 Dy 7 \ 67 Ho K ] 63 Euo _ ^ 62 Sm s _ 61 Pm ` 60 Ndw a 59 Pr b 58 Ce' c 69 Tm d 68 Er e 65 Tb/ f 64 Gd g 70 Yb ' h 71 Lu7 ; i 98 Cf O j 99 Es c k 95 Am? w l 94 Pu m 93 Np n 92 UG o 91 Pa p 90 Th q 101 Mdd r 100 Fmmm s 97 Bk t 96 Cm[ + u 102 Noo ? v 103 Lrr G w B [ x 5 Bm o y 6 C z 7 N { 8 Ou | 9 F } Li ~ 3 Li- Neon 10 Ne Be 4 Be! * La G j [ ^ AcAc 12 11 10 w 7 9 c 8 W 18 17 7 16 15 ? 14 k 13 7 g 6 5 G 4 G 3 ' s 2 1 2B 1B i # 8B O 8A { 7A I 6A 5A ) 4A + 3A W 7B y 6B 5B Y 4B 3B 9 3 2A _ 1A s NewNumbering OldNumbering 1 2 3 + 6 C 5 o 4 { 7 7 / 6 3 ElementChoice ! ` ] 1 Hydrogen H 1 2 Helium He 4 2 Helium He 3 Lithium Li 7 4 Beryllium Be 9 5 Boron B 11 6 Carbon C 12 7 Nitrogen N 14 8 Oxygen O 16 9 Fluorine F 19 10 Neon Ne 20 11 Sodium Na 23 12 Magnesium Mg 24 13 Aluminum Al 27 14 Silicon Si 28 15 Phosphorus P 31 16 Sulfur S 32 17 Chlorine Cl 35 18 Argon Ar 40 19 Potassium K 39 20 Calcium Ca 40 21 Scandium Sc 45 22 Titanium Ti 48 23 Vanadium V 51 24 Chromium Cr 52 25 Manganese Mn 55 26 Iron Fe 56 27 Cobalt Co 59 28 Nickel Ni 59 29 Copper Cu 63 30 Zinc Zn 65 31 Gallium Ga 70 32 Germanium Ge 73 33 Arsenic As 75 34 Selenium Se 79 35 Bromine Br 80 36 Krypton Kr 84 37 Rubidium Rb 85 38 Strontium Sr 88 39 Yttrium Y 89 40 Zirconium Zr 91 41 Niobium Nb 93 42 Molybdenum Mo 96 43 Technetium Tc 98* 44 Ruthenium Ru 101 45 Rhodium Rh 103 46 Palladium Pd 106 47 Silver Ag 108 48 Cadmium Cd 112 49 Indium In 115 50 Tin Sn 119 51 Antimony Sb 122 52 Tellurium Te 128 53 Iodine I 127 54 Xenon Xe 131 55 Cesium Cs 133 56 Barium Ba 137 57 Lanthanum La 139 58 Cerium Ce 140 59 Praseodymium Pr 141 60 Neodymium Nd 144 61 Promethium Pm 145 62 Samarium Sm 150 63 Europium Eu 152 64 Gadolinium Gd 157 65 Terbium Tb 159 66 Dysprosium Dy 163 67 Holmium Ho 165 68 Erbium Er 167 69 Thulium Tm 169 70 Ytterbium Yb 173 71 Luthetium Lu 175 72 Hafnium Hf 178 73 Tantalum Ta 181 74 Tungsten W 184 75 Rhenium Re 186 76 Osium Os 190 77 Iridium Ir 192 78 Platuim Pt 195 79 Gold Au 197 80 Mercury Hg 201 81 Thallium Tl 204 82 Lead Pb 207 83 Bismuth Bi 209 84 Polonium Pu 244 85 Astatine At 210 86 Radon Rn 222 87 Francium Fr 223 88 Radium Ra 226 89 Actinium Ac 227 90 Thorium Th 232 91 Protactinium Pa 231 92 Uranium U 238 93 Neptunium Np 237 94 Plutonium Pu 244 95 Americium Am 243 96 Curium Cr 247 97 Berklium Bk 247 98 Calfornium Cf 251 99 Einsteinium Es 252 100 Fremium Fm 257 101 Mendelevium Md 258 102 Nobelium No 259 103 Lawrencium Lr 260 104 Unnilquadium Unq 261 105 Unnilpentium Unp 262 106 Unnilhexium Unh 263 107 Unnilseptium Uns 262 108 Unniloctium Uno 265 109 Unnilennium Une 266 ! ! 3 1 Atomic# Element Symbol Mass### " #" =" W" q" " " " " " # '# A# [# u# # # # # # $ +$ E$ _$ y$ $ $ $ $ $ % /% I% c% }% % % % % % & 3& M& g& & & & & & ' ' 7' Q' k' ' ' ' ' ' ( !( ;( U( o( ( ( ( ( ( ) %) ?) Y) s) ) ) ) ) ) * )* C* ]* w* * * * * * + -+ G+ a+ {+ + + + + + , 1, K, e, ,! ," ,# ,$ ,% -& -' 5-( O-) i-* -+ -, -- -. -/ .0 .1 9.2 S.3 m.4 .5 .6 .7 .8 .9 /: #/; =/< W/= q/> /? /@ /A /B /C 0D '0E A0F [0G u0H 0I 0J 0K 0L 0M 1N +1O E1P _1Q y1R 1S 1T 1U 1V 1W 2X /2Y I2Z c2[ }2\ 2] 2^ 2_ 2` 2a 3b 33c M3d g3e 3f g h @ ^ p $ . B V j ~ $ 8 L ` t 2 F T h | 0 D X l , @ T h | * > J ^ r ( < P d x , @ T h | 0 D L ` t L ` < h D p L x ( T 0 \ 8 d x H t $ 8 ! ! ! " (" B" \" v" " " " " " # ,# F# `# z# # # # # # $ 0$ J$ d$ ~$ $ $ $ $ % % 4% N% h% % % % % % & & 8& R& l& & & & & & ' "' <' V' p' ' ' ' ' ' ( &( @( Z( t( ( ( ( ( ( ) *) D) ^) x) ) ) ) ) ) * .* H* b* |* * * * * * + 2+ L+ f+ + + + + + , , 6, P, j, , , , , , - - :- T- n- - - - - - . $. >. X. r. . . . . . / (/ B/ \/ v/ / / / / / 0 ,0 F0 `0 z0 0 0 0 0 0 1 01 J1 d1 ~1 1 1 1 1 2 2 42 N2 h2 2 2 2 2 2 3 3 83 R3 l3 3 . / 2 ' * 0 / P t @ ` @ F0 @ * @ 6$ @ $ 6 # b b# < @ @ V b N @ D B = e config2 #v h " @ s X W 3 2 { q 3 # 2 r & 2 [ 8Y| e ^ 2 c ? h 2 sw 2 3 " TF 6 2 ; { ' ^ d1 ~ 2 ( hs @ 2 ) s O 2 S * sF#@ V 2 [ 4 ) Z ) Z ) Z{ U8s9 T 0 ^ ) Z 1 ^ { U { U 5 { .. U m 2 ^ s9 T 9 E p > E9 : ! C^ C^ C^ j 6 C^ G 7 C Jg C ~ s 8 RRo ooq @ & ' 88 88 88D5A < 88 y = $ C | C ~ s > % 5 RRo ooq% F , - 3N8 3N8(G J3N8v&s B 3N8 C * C C ~ s D + & # RRo ooqW L 2 3 $ Sn % Sn %Zy |Sn % " # & Sn % I &0 C C ~ s 5 J &1 " 8 U RRo ooq e J K ? Z% ? Z% ? Z% 2 " N X ? Z% O X 6 C / C ~ s g P X 7 " j RRo ooq X : ; +FC +FC +FC 1d @ T +FC A U 8 1 C D a C ~ s V 9 @ RRo ooq ^ @ A 3N4 3N4 3N4> " 1; Z 3N4 s [ > " C v C ~ s \ ? 1 RRo ooq d F G J e"C J e"C" A D J e"Cp 1 @!m ` J e"C a D 1 C C ~ s b E @! RRo ooq] f N W ` 2 e O g P 2 Q h R Z u! 2 S 5 j W y4: 8 2 = X } k Y !L7# 2 Z l [ y 2 \ u i l D ::3 Fd+ o _ 2 ` p a 2 b 9 q c < 2 A d r e : 2 f s g : 2 h t i 3 2 j Y w o F \ 2 a p n ] + 2 ^ u k 2 l 1 v m 4 2 9 n y i T | 2 +( H ` y ) &; ; ;2 # +\!! ; # +\!! ; # +\!8 ' fB Ar18 kernalAr argonkernal buttondown d ^ y ) &; ; ;; # +\!! ;# # +\!8 ; # +\!8 ' fB Ar18 kernalAR argonkernal buttonup P E㐷kernalAr㐷Ar18argonkernalG㐷kernalAR2 V U 9 ~ s s pf < 2 A t o v $ ` ! r< e-1 Filling Sequence w ^ K`' @@ ! X U + < )& & .-" ;B# ?( ( .-" ;B# ? ' fS MlselectedElement keyUp V R 0 ) & ;B# ? ' f MlselectedElement buttonUp key 4selectedElement b = W . = keyDownArrow < W -- znothing } 4e j W ] x ^ 'K ! 2 z y H 3 3 # | # 9 # # M } g9 g # ~ n # b b # 'J k J 'k # - 3 E> > E3 # e )M M # 8 # V # y y # E Ef! f!E # } F F # p # Wp W # - B u&r 0 2 5 u g x 2 } k; ; # W3F W3 # ! + = + '2 ; < u4 M 4px4py1 ue a ASYM_BeenHere q | 3dxy3dxz } 3dxz3dyz 3dxy3dxz1 3dyz3dx2y2a 3dz24s1 N V > H T b 4px4py z 14 ue ? F > W 4s3dz2 e 3dz24s 0 6!n!~ 3dyz3dx2y2 4s3dxy 3dxz3dyz1 4s3dz2a 4s4px 2 d4/9rule { B>, -L ?< true D>0U 4s c 4px + 4py 4pz 3dxyC + 3dxz M _ 3dyz+ k 3dx2-y2 ` 3dz2O ! + 2s 7 4sup E 4sdown O 4s y r 6 arrowcount 4pxup 4pxdown 4px ! # r T # arrowcount $ 4pyup !% 4pydown +& 4py U' 4 ) r b u) arrowcount * 4pzup + 4pzdown , 4pz - L / r T / arrowcount 0 3dxyup 1 3dxydown 2 3dxy 73 " 5 r D x W5 arrowcount e6 3dxzup u7 3dxzdown 8 3dyzup 9 3dyzdown : 3dyz ; . = r = arrowcount > 3dx2-y2up ? 3dx2-y2down @ 3dx2-y2 CA C r P 4/9rule cC arrowcount qD 3dz2up E 3dz2down F 3dz2 G { I r H 4s3dxy1 I arrowcount J 3dxz K ( M r 6 -M arrowcount AN 4s_shorthand QO 4s U eP 3d_shorthand sQ 3d R 4p_shorthand S 4p T kernalAr U [Ar ]c V P W 4scount X 2 Y 4pcount Z 6 [ 3dcount \ 50+ + ] 3scount 7 ^ 2 K _ 1s_shorthand [ ` 1s I o a 2s_shorthand b 2s c 2p_shorthand d 2p e 3s_shorthand f 3s y g 3p_shorthand h 3p i 2scount j 2 k 2pcount l 6 ) m 3pcount 5 n 6 C o 1scount O p 2 _ q shorthand } r Chemist Shorthand:e s ar18 t 18 u argonkernal v FillOrder w ElementChoice Yx |1 Hydrogen H 1 2 Helium He 4 2 Helium He 3 Lithium Li 7 4 Beryllium Be 9 5 Boron B 11 6 Carbon C 12 7 Nitrogen N 14 8 Oxygen O 16 9 Fluorine F 19 10 Neon Ne 20 11 Sodium Na 23 12 Magnesium Mg 24 13 Aluminum Al 27 14 Silicon Si 28 15 Phosphorus P 31 16 Sulfur S 32 17 Chlorine Cl 35 18 Argon Ar 40 19 Potassium K 39 20 Calcium Ca 40 21 Scandium Sc 45 22 Titanium Ti 48 23 Vanadium V 51 24 Chromium Cr 52 25 Manganese Mn 55 26 Iron Fe 56 27 Cobalt Co 59 28 Nickel Ni 59 29 Copper Cu 63 30 Zinc Zn 65 31 Gallium Ga 70 32 Germanium Ge 73 33 Arsenic As 75 34 Selenium Se 79 35 Bromine Br 80 36 Krypton Kr 84 37 Rubidium Rb 85 38 Strontium Sr 88 39 Yttrium Y 89 40 Zirconium Zr 91 41 Niobium Nb 93 42 Molybdenum Mo96 43 Technetium Tc98* 44 Ruthenium Ru 101 45 Rhodium Rh 103 46 Palladium Pd 106 47 Silver Ag 108 48 Cadmium Cd 112 49 Indium In 115 50 Tin Sn 119 51 Antimony Sb 122 52 Tellurium Te 128 53 Iodine I 127 54 Xenon Xe 131 55 Cesium Cs 133 56 Barium Ba 137 y ) ) Atomic# Element Symbol Mass# z xB . ue ( ue " ue 4py4pz B ruleshift ue 1 6>I ue W 4py4pz1 m f " # |' >( ) * 0 1 2 84 ^6 7 8 j: < = D> @ B JC vD F I J L &N O P 2 T U V d X Z [ > \ ^ ` D a p b d e X f g hh i <j k @l n do lp q r Ds t u v w { ~ D ` P 0 h H 8 f>^&X h@<D`P0hH8 \ shift electrons from s to d to make 5 or 10 total electrons in the d orbitals 41, 74, and 78 a. shift electrons from s to d to make 5 or 10 2p before proceeding to 3s remember d 4-9 rule:: % ? Y s ) C ] w - G a { 1 K e 5 O i 9 S m # = W q ' A [ u + E _ y @ R r \ J Z h 0 R d & 0 < J T 6 & 0 h z $ J \ j z 2 V h v $ 2 F V j x " 0 < P ` t . : H T d ^ f v L \ N < j * D ^ x . H b | 2 L f 6 P j : T n $ > X r ( B \ v , F ` z 0 J d ~ ` H ] ` - @ config2 < H = , I \ , 0 config6 8L T O e config3 %v h " R s a a 6 6 { P d# 2 Q & 2 [ 8Y| e ^ 2 c ? h 2 sw 2 3 " T ^ 6 2 ; { & W ~ 2 ' | ^ 2 ( 6^ 2 S ) ^ V 2 [ * F#^ 2 T U 6 G K G K G K(9 [9 ct% 0 G K ] 1 9 [ C `} C ~ s 2 9 ct RRo ooq l m C^ C^ + .C^ Z W 6 C^ 7 C C ~ s 8 RRo ooq; p q ,G8 ,G8>] `,G85 < ,G8 = C C ~ s > 5 9 RRo ooqm t u 3N8 3N8p 3N8& B < 3N8 C <! C C ~ s K D <" & Nk RRo ooq X Y Sn % Sn % Sn %H " # n Sn % % I n# C ( E C ~ s } J n$ " RRo ooq \ ] N i% N i% N i%" z " N N i% W O % C Z w C ~ s P & " RRo ooq ` a +FC +FC % ( +FCT 1 @Q T +FC U ' 1 C C ~ s V ( @ RRo ooq5 d e 3NR 3N48 W Z 3N4 " 1 Z 3NR [ ) @ C C ~ s \ * O 3 RRo ooqg h i J e"C J e"Cj J e"C 1 @! ` 6 J e"C a 6 + 1 C C ~ s E b 6 , @! He RRo ooq f - Hr 2 . g / R 2 0 5 h 1 Z u! 8 2 = 2 } j 6 r.%: 2 7 k 8 !L7# 2 9 l : = 2 ; U i 3 X g 2 $+( H b { ) &; ; ;2 # +\!! ; # +\!! ; # +\!8 ' fB Kr36 kernalKr kryptonkernal buttondown f ` { ) &; ; ;; # +\!! ;# # +\!8 ; # +\!8 ' fB kr36 kernalKr kryptonkernal buttonup N E㐷kernalKr㐷Kr36kryptonkernalG㐷4kr36 5 4 ~ R 74 2 S S e# e#V #B G44! ! hbYRe):tY t! e_Zpt#_; &2!e#57 " # : 2 ? o "> G 2 ? p "@ 4 2 A q "B 4! 2 C W r "D ! h Z 2 _ E s "F Y 2 G t "H R 2 I / w "N e) 2 2 7 O w n "< tY z 2 = u "J t! 2 K v "L e 2 M O "x _ R 2 W y "z pt# 2 { "| _; 2 } ' "~ & * 2 / o " !e#5 r 2 w & bP ! < e-1 Filling Sequence i' @@ ! + < )& & .-" ;B# ?( ( .-" ;B# ? ' fS MlselectedElement keyUp V R ? ) & ;B# ? ' f MlselectedElement buttonUp key 4selectedElement b = W . = keyDownArrow < W -- znothing } 4e j W Q'i ! 2 + Z yFO F# c p # Wp W # k; ; # 9\ 9 # C b5 X 5b# { # e # # e # R5 # # 4 % # [ I # -: - # ? # QT M T# ; " *!D# { v g ~ 2 r " 5% 2 n @ C& 2 S " %& V 2 [ " %& 2 ( 2 + " 5% . 2 3 O + & w0 &&; u4 M 4dxy4dxz Za ASYM_BeenHere o 5s4dxy y m Nb-41 is the first exception to the d 4/9 rule, as an exception it has to have 4 e-1 in the d's 41, 74, and 78 a. shift electrons from s to d to make 5 or 10 2p before proceeding to 3s / F4* Y ue gV tD,D 5s 5px [ 5py 5pz ? ' 4dxys I Y kernalAr o Kernal:[Ar] P ; 4dxzo 4dyz # 4dx2-y2 [ ` m 4dz2 2s 5sup 5sdown 5pxup 5pxdown 5pyup 5pydown ! 5pzup " 5pzdown # 4dxyup )$ 4dxydown 7% 4dxzup G& 4dxzdown U' 4dyzup e( 4dyzdown u) 4dx2-y2up * 4dx2-y2down + 4dz2up , 4dz2down - 5s_shorthand . 5s / 4d_shorthand 0 4dq 1 5p_shorthand 2 5p 3 kernalKr /4 [Kr ] E5 P S6 5scount _7 1 m8 5pcount y9 6 : 4dcount ; 10 < 3scount = 2 > 1s_shorthand ? 1s @ 2s_shorthand A 2s W B 2p_shorthand C 2p -D 3s_shorthand =E 3s ! QF 3p_shorthand _G 3p mH 2scount yI 2 J 2pcount K 6 L 3pcount M 6 N 1scount O 2 P shorthand Q Chemist Shorthand: R Kr36 S 361 T 5s CU W r PF cW arrowcount oX 4dxy Y [ r Z 5s5px [ arrowcount \ 4dxz ] V _ r 5px5py _ arrowcount ` 4dyz E a c r S 5py5pz e c arrowcount s d 4dx2-y2 e ^ g r 5px5py1 g arrowcount h 4dz2 i b k r 5py5pz1 k arrowcount l 5px G m f o r T B g o arrowcount q p 5py q j s r F s arrowcount t 5pz u w r w arrowcount # x 4s_shorthand 3 y 4s A z 4scount M { 2 a | 3d_shorthand o } 3d } ~ 3dcount 10 4p_shorthand 4p 4pcount 6 kryptonkernal FillOrder ElementChoice {{1 Hydrogen H 1 2 Helium He 4 2 Helium He 3 Lithium Li 7 4 Beryllium Be 9 5 Boron B 11 6 Carbon C 12 7 Nitrogen N 14 8 Oxygen O 16 9 Fluorine F 19 10 Neon Ne 20 11 Sodium Na 23 12 Magnesium Mg 24 13 Aluminum Al 27 14 Silicon Si 28 15 Phosphorus P 31 16 Sulfur S 32 17 Chlorine Cl 35 18 Argon Ar 40 19 Potassium K 39 20 Calcium Ca 40 21 Scandium Sc 45 22 Titanium Ti 48 23 Vanadium V 51 24 Chromium Cr 52 25 Manganese Mn 55 26 Iron Fe 56 27 Cobalt Co 59 28 Nickel Ni 59 29 Copper Cu 63 30 Zinc Zn 65 31 Gallium Ga 70 32 Germanium Ge 73 33 Arsenic As 75 34 Sellium Se 79 35 Bromine Br 80 36 Krypton Kr 84 37 Rubidium Rb 85 38 Strontium Sr 88 39 Yttrium Y 89 40 Zirconium Zr 91 41 Niobium Nb 93 42 Molybdenum Mo96 43 Technetium Tc98* 44 Ruthenium Ru 101 45 Rhodium Rh 103 46 Palladium Pd 106 47 Silver Ag 108 48 Cadmium Cd 112 49 Indium In 115 50 Tin Sn 119 51 Antimony Sb 122 52 Tellurium Te 128 53 Iodine I 127 54 Xenon Xe 131 55 Cesium Cs 133 56 Barium Ba 137 ) ) Atomic# Element Symbol Mass# B v d4/9rule r ruleshift ruleshift %j ue 7f ue Eb VfVf6 remember d 4-9 rule:: * ^ ue 4dxz4dyz 5s4dx2y2 # 3 4dxz4dyz1 E 4dyz4dx2y2 W ue hDz true ` R T ` T ` _ g