مجلة إبن الھیثم للعلوم الصرفة و التطبیقیة 2012 السنة 25 المجلد 1 العدد Ibn Al-Haitham Journal for Pure and Applied Science No. 1 Vol. 25 Year 2012 SSSyyynnnttthhheeesssiiisss,,, CCChhhaaarrraaacccttteeerrriiizzzaaatttiiiooonnn aaannnddd AAAnnnaaalllyyytttiiicccaaalll SSStttuuudddyyy ooofff MMMeeetttaaalll CCCooommmpppllleeexxxeeesss DDDeeerrriiivvveeeddd fffrrrooommm 111,,,222---BBBiiisss---(((444´́́---AAAmmmiiinnnooo--- 222´́́,,,333´́́--- DDDiiimmmeeettthhhyyylll---111´́́--- PPPhhheeennnyyylll---PPPyyyrrraaazzzooollliiinnnyyylll)))--- DDDiiiiiimmmiiinnnooo EEEttthhhaaannneee JJJ...MMM... DDDhhhaaabbbaaabbb ,,,MMM... NNN... AAAlll---JJJbbboooooorrriii ,,,HHH... HHH... AAALLL---BBBaaajjjaaalllaaannn DDDeee pppaaarrrtttmmmeee nnnttt ooofff CCChhheee mmmiiisss tttrrryyy ,,, CCCooolllllleee gggeee ooofff SSSccciiieee nnnccceee ... AAAlll---MMMuuussstttnnnsss iiirrriiiyyyaaahhh UUUnnniiivvveee rrrsss iiitttyyy RRReee ccceee iiivvveee ddd iiinnn ::: 777 FFFeee bbbrrruuurrryyy 222000111111 AAAcccccceee pppttteee ddd iiinnn ::: 111888 OOOccctttooobbbeee rrr 222000111111 AAAbbbssstttrrraaaccc ttt SSSiiixxx ttt rrraaannnsss iiittt iiiooonnn mmmeeettt aaalll cccooommmppp llleeexxxeeesss ooofff CCCrrr (((IIIIIIIII))),,, MMM nnn(((IIIIII))),,, CCCooo(((IIIIII))),,, NNNiii(((IIIIII))),,, CCCuuu(((IIIIII))),,, aaannnddd ZZZ nnn(((IIIIII))) wwweeerrreee ppp rrreeeppp aaarrreeeddd uuusss iiinnnggg 111,,,222---bbbiiisss ---(((444---AAAmmmiiinnnooo---222,,,333---dddiiimmmeeettt hhhyyy lll---111--- ppp hhheeennnyyy lll---ppp yyy rrraaazzz ooollliiinnnyyy lll)))---dddiiiiiimmmiiinnnooo eeettt hhhaaannneee(((LLL))) aaasss llliiigggaaannnddd... TTT hhheeessseee cccooommmppp llleeexxxeeesss wwweeerrreee ccchhhaaarrraaacccttt eeerrriiizzz eeeddd bbbyyy eeellleeemmmeeennnttt aaalll aaannnaaalllyyy sss iiisss ,,, mmmaaagggnnneeettt iiiccc sssuuusssccceeeppp ttt iiibbbiiillliiittt yyy ,,, UUUVVV///VVVIIISSS aaannnddd FFFTTT ---IIIRRR sssppp eeecccttt rrrooossscccoooppp yyy ... TTT hhheeessseee dddaaattt aaa ssshhhooowwweeeddd ttt hhhaaattt ttt hhheee sssooollliiiddd cccooommmppp llleeexxxeeesss ooofff MMM nnn(((IIIIII))),,, CCCooo(((IIIIII))),,, ZZZ nnn(((IIIIII))) wwweeerrreee ttt eeettt rrraaahhheeedddrrraaalll gggeeeooommmeeettt rrryyy ,,, aaannnddd CCCrrr(((IIIIIIIII))) wwwaaasss ooocccttt aaahhheeedddrrraaalll wwwhhhiiillleee ttt hhheee sssyyy mmmmmmeeettt rrryyy aaarrrooouuunnnddd NNNiii(((IIIIII))) aaannnddd CCCuuu(((IIIIII))) iiiooonnnsss wwwiiittt hhh ttt hhheee nnneeewww llliiigggaaannnddd wwweeerrreee sssqqquuuaaarrreee ppp lllaaannnaaarrr ooofff ttt hhheee fffooorrrmmmuuulllaaa [[[MMM LLL]]]CCClll 222 ,,, MMM ===NNNiii(((IIIIII))) aaannnddd CCCuuu(((IIIIII)))... AAA sss iiimmmppp llleee mmmeeettt hhhoooddd fffooorrr ttt hhheee dddeeettt eeerrrmmmiiinnnaaattt iiiooonnn ooofff ttt rrraaaccceee aaammmooouuunnnttt sss ooofff cccoooppp ppp eeerrr aaasss aaannn eeexxxaaammmppp llleee bbbyyy sssppp eeecccttt rrroooppp hhhooottt ooommmeeettt eeerrr wwwaaasss dddeeessscccrrriiibbbeeeddd bbbaaassseeeddd ooonnn ttt hhheee fffooorrrmmmaaattt iiiooonnn ooofff ttt hhheee CCCuuu---LLL cccooommmppp llleeexxx... TTT hhheee oooppp ttt iiimmmiiizzz aaattt iiiooonnn wwweeerrreee dddooonnneee ooonnn bbbaaasss iiisss ,,, rrreeeaaagggeeennnttt cccooonnnccceeennnttt rrraaattt iiiooonnn ,,, rrreeeaaacccttt iiiooonnn ttt iiimmmeee aaannnddd ppp HHH mmmeeedddiiiuuummm fffooorrr CCCuuuLLL--- cccooommmppp llleeexxx... TTT hhheee mmmooolllaaarrr aaabbbsssooorrrppp ttt iiivvviiittt yyy ooofff ttt hhheee cccooommmppp llleeexxxeeesss aaattt ppp HHH 999...000 ,,, mmmooolllaaarrr rrraaattt iiiooo (((111:::111))) (((LLL:::MMM ))) aaattt 333999000 nnnmmm wwwaaasss 000...222000xxx111000 444 LLL///mmmooolll...CCCmmm,,, wwweeerrreee dddeeettt eeerrrmmmiiinnneeeddd aaafffttt eeerrr cccooommmppp llleeettt iiiooonnn ttt hhheee sss ttt aaabbbiiillliiittt yyy ooofff CCCuuu(((IIIIII))) cccooommmppp llleeexxx sssppp eeecccttt rrroooppp hhhooottt ooommmeeettt rrriiicccaaallllllyyy ... KKKeee yyy wwwooorrrdddsss ::: ttt rrraaannnsss iiittt iiiooonnn mmmeeettt aaalll ;;; cccooommmppp llleee xxxeeesss ooofff ttt rrraaannnsss iiittt iiiooonnn mmmeeettt aaalll;;; sssyyy nnnttt hhheeesss iiizzz eeeddd ooofff SSSccchhhiiiffffff bbbaaassseee ;;;444---aaammmiiinnnooo aaannnttt yyy ppp rrriiinnneee;;; sssppp eeecccttt rrroooppp hhhooottt ooommmeeettt rrryyy IIInnntttrrroooddduuuccctttiiiooonnn MMM eeettt aaalll cccooommmppp llleeexxxeeesss ooofff 444---aaammmiiinnnooo aaannnttt iiippp yyy rrriiinnneee dddeeerrriiivvvaaattt iiivvveeesss aaarrreee eeexxxttt eeennnsss iiivvveeelllyyy sss ttt uuudddiiieeeddd ddduuueee ttt ooo sssyyy nnnttt hhheeettt iiiccc fffllleeexxxiiibbbiiillliiittt yyy aaannnddd ssseeennnsss iiittt iiivvviiittt yyy ttt ooowwwaaarrrddd vvvaaarrriiieeettt yyy ooofff mmmeeettt aaalll iiiooonnnsss [[[111]]]... TTT hhheeeyyy aaarrreee fffooouuunnnddd ttt ooo bbbeee uuussseeefffuuulll iiinnn cccaaattt aaalllyyy sss ttt ,,, mmmeeedddiiiaaa aaasss aaannnttt iiibbbiiiooottt iiicccsss aaannnddd aaannnttt iii---iiinnnffflllaaammmmmmaaattt iiiooonnn aaagggeeennnttt sss [[[222---555]]],,, aaannnddd aaasss aaannnaaalllyyy ttt iiicccaaalll rrreeeaaagggeeennnttt iiinnn dddeeettt eeerrrmmmiiinnnaaattt iiiooonnn ooofff ttt rrraaaccceee aaammmooouuunnnttt sss ooofff eeellleeemmmeeennnttt sss [[[666---777]]]... TTT hhheeessseee dddeeerrriiivvvaaattt iiivvveeesss ,,, eeesssppp eeeccciiiaaallllllyyy SSSccchhhiiiffffff bbbaaassseee hhhaaavvviiinnnggg NNN 444 aaannnddd NNN 222OOO 222 dddooonnnooorrr aaacccttt iiivvveee sss iiittt eeesss TTT hhheeessseee ttt yyy ppp eeesss ooofff llliiigggaaannndddsss aaannnddd cccooommmppp llleeexxxeeesss wwweeerrreee eeexxxttt eeennnsss iiivvveeelllyyy sss ttt uuudddiiieeeddd bbbeeecccaaauuussseee ooofff ttt hhheeeiiirrr wwwiiidddeee sssppp eeecccttt rrruuummm iiinnn aaappp ppp llliiieeeddd aaannnaaalllyyy ttt iiicccaaalll ccchhheeemmmiiisss ttt rrryyy fffooorrr dddeeettt eeerrrmmmiiinnnaaattt iiiooonnn ooofff mmmeeettt aaalll iiiooonnnsss [[[888---111555]]]... مجلة إبن الھیثم للعلوم الصرفة و التطبیقیة 2012 السنة 25 المجلد 1 العدد Ibn Al-Haitham Journal for Pure and Applied Science No. 1 Vol. 25 Year 2012 TTT hhheee ppp rrreeessseeennnttt ppp aaappp eeerrr dddeeeaaalllsss wwwiiittt hhh ttt hhheee sssyyy nnnttt hhheeesss iiisss aaannnddd ccchhhaaarrraaacccttt eeerrriiizzz aaattt iiiooonnn ooofff nnneeewww cccooommmppp llleeexxxeeesss ooofff CCCrrr (((IIIIIIIII))),,, MMM nnn(((IIIIII))) ,,, CCCooo(((IIIIII))),,, NNNiii(((IIIIII))),,, CCCuuu(((IIIIII))),,, aaannnddd ZZZ nnn(((IIIIII wwwiiittt hhh 111,,,222---BBBiiisss ---(((444---AAAmmmiiinnnooo---222,,,333dddiiimmmeeettt hhhyyy lll---111---ppp hhheeennnyyy lll--- ppp yyy rrraaazzz ooollliiinnnyyy lll)))dddiiiiiimmmiiinnnooo eeettt hhhaaannneee (((LLL)))... MMM ooorrreeeooovvveeerrr,,, ttt hhheee sssppp eeecccttt rrrooossscccoooppp iiiccc aaannnaaalllyyy sss iiisss ooofff CCCuuu(((IIIIII))) iiiooonnnsss wwweeerrreee rrreeeppp ooorrrttt eeeddd uuusss iiinnnggg ttt hhheee ppp rrreeevvviiiooouuusss llliiigggaaannnddd aaasss ooorrrgggaaannniiiccc rrreeeaaagggeeennnttt aaafffttt eeerrr ttt hhheee oooppp ttt iiimmmiiizzz aaattt iiiooonnn ooofff ttt hhheee ppp HHH,,, λλλ mmm aaa xxx ,,, ttt iiimmmeee aaannnddd mmmooolllaaarrr rrraaattt iiiooo (((MMM :::LLL))),,, cccooonnndddiiittt iiiooonnnsss ... EEExxxpppeeerrriiimmmeee nnntttaaalll aaa --- MMMaaattteee rrriii aaalllsss aaannnddd MMMeee ttthhhooodddsss RRReeeaaagggeeennnttt sssuuuccchhh aaasss 444---aaammmiiinnnooo aaannnttt iiippp yyy rrriiinnneee ,,,eeettt hhhyyy llleeennneeedddiiiaaammmiiinnneee ,,,mmmeeettt aaalll ccchhhlllooorrriiidddeee CCCrrrCCClll 333...666HHH 222OOO,,, MMM nnnCCClll222...444HHH 222OOO,,, CCCoooCCClll222...666HHH 222OOO,,, NNNiiiCCClll222...666HHH 222OOO,,, CCCuuuCCClll222...222HHH 222OOO aaannnddd aaannnhhhyyy dddrrrooouuusss ZZZ nnnCCClll222 wwweeerrreee ooofff cccooommmmmmeeerrrccciiiaaalll qqquuuaaallliiittt yyy ((( AAAllldddrrriiiccchhh,,,MMM eeerrrccckkk))) aaannnddd wwweeerrreee uuussseeeddd aaasss rrreeeccceeeiiivvveeeddd... SSSooolllvvveeennnttt sss wwweeerrreee dddrrriiieeeddd aaannnddd ppp uuurrriiifffiiieeeddd uuusss iiinnnggg ttt hhheee sss ttt aaannndddaaarrrddd ttt eeeccchhhnnniiiqqquuueee... MMM iiicccrrrooo aaannnaaalllyyy ttt iiicccaaalll dddaaattt aaa (((CCC...HHH...NNN...))) wwweeerrreee dddooonnneee uuusss iiinnnggg aaannn eeellleeemmmeeennnttt aaalll vvvaaarrriiiaaa iiinnnsss ttt rrruuummmeeennnttt (((CCCaaarrrlllooo---EEErrrbbbaaa 111111000666 eeellleeemmmeeennnttt aaalll aaannnaaalllyyy zzz eeerrr iiinnn kkkiiinnnggg uuunnniiivvveeerrrsss iiittt yyy aaattt JJJooorrrdddaaannn)))... FFFTTT ...IIIRRR sssppp eeecccttt rrraaa wwweeerrreee rrreeecccooorrrdddeeeddd fffooorrr sssooollliiidddsss iiinnn KKKBBBrrr aaannnddd CCCsssIII mmmeeedddiiiaaa sssppp eeecccttt rrroooppp hhhooottt ooommmeeettt eeerrr... EEEllleeecccttt rrrooonnniiiccc sssppp eeecccttt rrraaa ooofff cccooommmppp ooouuunnndddsss sssooollluuuttt iiiooonnnsss rrreeecccooorrrdddeeeddd iiinnn eeettt hhhaaannnooolll aaannnddd DDDMMM FFF sssooolllvvveeennnttt sss ooonnn VVVaaarrriiiaaannn UUUVVV---VVViiisss iiibbbllleee sssppp eeecccttt rrroooppp hhhooottt ooommmeeettt eeerrr 111000000 cccooonnnccc ttt yyy ppp eee... MMM ooolllaaarrr cccooonnnddduuucccttt aaannnccceee ooofff 111000 --- 333 sssooollluuuttt iiiooonnnsss ooofff ttt hhheee ppp rrreeeppp aaarrreeeddd cccooommmppp llleeexxx iiinnn DDDMMM FFF wwweeerrreee mmmeeeaaasssuuurrreeeddd ooonnn CCCooorrriiinnnggg 222222000 cccooonnnddduuucccttt iiivvviiittt yyy mmmeeettt eeerrr... TTT hhheee ppp eeerrrccceeennnttt aaagggeeesss ooofff mmmeeettt aaalll iiinnn sssooollliiiddd cccooommmppp llleeexxxeeesss wwweeerrreee dddeeettt eeerrrmmmiiinnneeeddd bbbyyy SSShhhiiimmmaaadddzzz uuu AAA,,,AAA---666777000 sssppp eeecccttt rrroooppp hhhooottt ooommmeeettt eeerrr vvviiiaaa FFF...AAA...AAA...SSS... MMM aaagggnnneeettt iiiccc sssuuusssccceeeppp ttt iiibbbiiillliiittt yyy mmmeeeaaasssuuurrreeemmmeeennnttt sss wwweeerrreee ooobbbttt aaaiiinnneeeddd aaattt 222555 CCC °°° ooonnn ttt hhheee sssooollliiiddd sss ttt aaattt eee aaappp ppp lllyyy iiinnnggg FFFaaarrraaadddaaayyy sss mmmeeettt hhhoooddd uuusss iiinnnggg BBBrrruuukkkeeerrr BBBMMM 666 iiinnnsss ttt rrruuummmeeennnttt aaattt aaalll---NNNaaahhhrrraaaiiinnn uuunnniiivvveeerrrsss iiittt yyy ... bbb---SSS yyynnnttthhheee sssiii sss ooofff SSS ccchhhiii ffffff bbbaaassseee [[[111,,,222---BBBiiisss ---(((444---AAAmmmiii nnnooo---222,,,333---dddiii mmmeee ttthhhyyylll ---111---ppphhheee nnnyyylll ---pppyyyrrraaazzz ooollliii nnnyyylll )))--- dddiii iii mmmiiinnnoooeee ttthhhaaannneee ]]] TTT hhh eee SSSccchhh iiifff fff bbbaaassseee (((LLL))) wwwaaasss sssyyy nnn ttt hhh eeesssiiizzzeeeddd bbbyyy cccooo nnn dddeeennn sssaaattt iiiooo nnn ooo fff aaa iiinnn ooo aaannn ttt yyy ppp yyy rrr iiinnn eee(((444 ...000 666 666 gggmmm ,,,222 000 mmmMMM))) iiinnn 888000 mmm lll ooo fff eeettt hhh aaannn ooo lll aaannn ddd (((000 ...555 gggmmm ,,,111 000 mmm MMM))) ooo fff eeettt hhh yyy llleeennn eee dddiiiaaammm iiinnn eee ... TTT hhh eee rrr eeesssuuulllttt iiinnn ggg rrr eeeaaacccttt iiiooo nnn mmm iiixxx ttt uuurrr eee wwwaaasss rrr eeefffllluuuxxxeeeddd fffooo rrr 222 hhh ooo uuurrr sss ...TTT hhh eee yyy eeellllllooo www sssooo llliiiddd ppp rrr eeeccciiippp iiittt aaattt eee ooo fff SSSccchhh iiifff fff bbbaaassseee wwwaaasss fff iii lll ttt eeerrr eeeddd ,,,wwwaaassshhh eeeddd wwwiiittt hhh dddiiisssttt iii lll llleeeddd wwwaaattt eeerrr ,,,dddrrriiieeeddd aaannn ddd rrr eeecccrrryyy sssttt aaallllll iiizzzeeeddd fff rrrooo mmm eeettt hhh aaannn ooo lll ,,, aaannn ddd fff iiinnn aaallllllyyy ppp rrr eeessseeerrrvvv eeeddd iiinnn dddeeesssiiiccccccaaattt ooo rrr ... yyy iiieeelllddd::: 777 555 %%% (((mmm ...ppp ... 111 999 555 ---111 999 777CCC˚̊̊ )))... TTT hhh eee ppp rrr eeeppp aaarrr aaattt iiiooo nnn ooo fff ttt hhh eee lll iiigggaaannn ddd wwwaaasss ssshhh ooo wwwnnn iiinnn sssccchhh eeemmm eee (((111 ))) ,,, aaasss bbbeeelllooo www::: N N CH3 CH3 O NH2 Ph + NH 2-CH2-CH2-NH 2 N N NH2CH3 CH 3 Ph N N NH 2 CH 3 CH3 Ph = N -CH2-C H2-N = E tOH Re flux L ig an d S ch eme (1 ) BBBiiisss,,,111 ,,,222 --- (((444 ´́́---AAAmmm iiinnn ooo ---222 ´́́,,, 333 ´́́dddiiimmm eeettthhh yyy lll---111 ´́́---ppphhh eeennnyyy lll---ppp yyyrrr aaazzzooo llliiinnn yyy lll)))dddiiiiiimmm iiinnn ooo eeettt hhh aaannn eee (((LLL))) ... SSS yyynnnttthhheee sss iii sss ooofff CCCooommmppplll eee xxxeee sss AAA sssooollluuuttt iiiooonnn ooofff mmmeeettt aaalll ccchhhlllooorrriiidddeee iiinnn (((111555mmmlll))) eeettt hhhaaannnooolll (((000...000111 mmmooollleee))) wwwaaasss rrreeefffllluuuxxxeeeddd wwwiiittt hhh aaannn eeettt hhhaaannnooollliiiccc sssooollluuuttt iiiooonnn(((222000mmmlll))) ooofff ttt hhheee llliiigggaaannnddd (((LLL))) (((000...000111mmmooollleee))) fffooorrr 222 hhhooouuurrrsss ... TTT hhheee sssooollluuuttt iiiooonnn wwwaaasss ttt hhheeennn rrreeeddduuuccceeeddd ttt ooo hhhaaalllfff ooonnn wwwaaattt eeerrr bbbaaattt hhh ... ttt hhheee sssooollliiiddd cccooommmppp llleeexxx ppp rrreeeccciiippp iiittt aaattt eeeddd wwwaaasss fffiiilllttt eeerrreeeddd ,,, wwwaaassshhheeeddd ttt hhhooorrrooouuuggghhhlllyyy wwwiiittt hhh eeettt hhhaaannnooolll aaannnddd dddrrriiieeeddd iiinnn vvvaaacccuuuuuummm... مجلة إبن الھیثم للعلوم الصرفة و التطبیقیة 2012 السنة 25 المجلد 1 العدد Ibn Al-Haitham Journal for Pure and Applied Science No. 1 Vol. 25 Year 2012 SSS tttuuudddyyy ooofff cccooommmppplll eee xxxeee sss fffooorrrmmmaaatttiii ooonnn iii nnn sssooolll uuutttiii ooonnn CCCooommmppp llleeexxxeeesss ooofff ttt hhheee SSSccchhhiiiffffff bbbaaassseee (((LLL))) wwwiiittt hhh mmmeeettt aaalll iiiooonnnsss CCCrrr(((IIIIIIIII))),,, MMM nnn(((IIIIII))),,, CCCooo(((IIIIII))),,, NNNiii(((IIIIII))),,,CCCuuu(((IIIIII))),,, aaannnddd ZZZ nnn(((IIIIII))) wwweeerrreee sss ttt uuudddiiieeeddd iiinnn sssooollluuuttt iiiooonnn uuusss iiinnnggg eeettt hhhaaannnooolll aaasss sssooolllvvveeennnttt ,,, iiinnn ooorrrdddeeerrr ttt ooo dddeeettt eeerrrmmmiiinnneee [[[MMM :::LLL]]] rrraaattt iiiooo iiinnn ttt hhheee cccooommmppp llleeexxx fffooollllllooowwwiiinnnggg mmmooolllaaarrr rrraaattt iiiooo[[[111666]]]... AAA ssseeerrriiieeesss ooofff sssooollluuuttt iiiooonnnsss wwweeerrreee ppp rrreeeppp aaarrreeeddd hhhaaavvviiinnnggg aaa cccooonnnsss ttt aaannnttt cccooonnnccceeennnttt rrraaattt iiiooonnn 111000 --- 333 ooofff ttt hhheee mmmeeettt aaalll iiiooonnn aaannnddd LLL... AAAbbbsssooorrrbbbeeennnccciiieeesss wwweeerrreee mmmeeeaaasssuuurrreeeddd aaagggaaaiiinnnsss ttt bbblllaaannnkkksss ppp rrreeeppp aaarrreeeddd ssseeeppp aaarrraaattt eeelllyyy fffooorrr eeeaaaccchhh cccooonnnccceeennnttt rrraaattt iiiooonnn ooofff ccchhheeelllaaattt iiinnnggg aaagggeeennnttt aaattt ttt hhheee fffooorrrmmmeeeddd cccooommmppp llleeexxx... TTT hhheee rrreeesssuuulllttt sss ooofff cccooommmppp llleeexxxeeesss fffooorrrmmmaaattt iiiooonnn iiinnn eeettt hhhaaannnooolll sssooollluuuttt iiiooonnn wwweeerrreee llliiisss ttt eeeddd iiinnn ttt aaabbbllleee (((444 ))) ... CCC---GGGeee nnneee rrraaalll PPPrrroooccceee ddduuurrreee ooofff dddeee ttteee rrrmmmiii nnnaaatttiii ooonnn ooofff CCCuuu mmmeee tttaaalll bbbyyy uuuvvv...vvviii sss ... ssspppeee ccctttrrroooppphhhoootttooommmeee tttrrryyy... 111xxx111000 --- 333MMM ooofff cccoooppp ppp eeerrr ccchhhlllooorrriiidddeee (((555mmmlll))) wwweeerrreee ttt rrraaannnsss fffeeerrrrrreeeddd iiinnnttt ooo aaa 222555 mmmLLL ooofff cccaaallliiibbbrrraaattt eeeddd ffflllaaassskkk aaannnddd 111xxx111000 --- 333 MMM (((555mmmlll))) ooofff llliiigggaaannnddd sssooollluuuttt iiiooonnn wwwaaasss aaaddddddeeeddd... TTT hhheee ppp HHH ooofff ttt hhheee sssooollluuuttt iiiooonnn wwwaaasss aaadddjjjuuusss ttt eeeddd wwwiiittt hhh sssooollluuuttt iiiooonnn aaaccceeettt aaattt eee bbbuuuffffffeeerrr ttt ooo ppp HHH 999...000,,, ttt hhheeennn ttt hhheee wwwhhhooollleee sssooollluuuttt iiiooonnn wwwaaasss mmmiiixxxeeeddd aaannnddd dddiiillluuuttt eeeddd wwwiiittt hhh DDDMMM FFF ttt ooo ttt hhheee mmmaaarrrkkk... AAAfffttt eeerrr 555 mmmiiinnn,,, ttt hhheee aaabbbsssooorrrbbbaaannnccceee ooofff ttt hhhiiisss sssooollluuuttt iiiooonnn wwwaaasss mmmeeeaaasssuuurrreeeddd aaattt 333999000 nnnmmm bbbyyy sssppp eeecccttt rrroooppp hhhooottt ooommmeeettt eeerrr aaagggaaaiiinnnsss ttt aaa rrreeeaaagggeeennnttt bbblllaaannnkkk... RRReeesssuuullltttsss aaannnddd DDDiiissscccuuussssss iiiooonnn TTT hhheee cccooommmppp llleeexxxeeesss wwweeerrreee ppp rrreeeppp aaarrreeeddd bbbyyy rrreeeaaacccttt iiiooonnn ooofff llliiigggaaannnddd wwwiiittt hhh mmmeeettt aaalll ccchhhlllooorrriiidddeee ooofff CCCrrr(((IIIIIIIII))),,, MMM nnn(((IIIIII))),,, CCCooo(((IIIIII))),,, NNNiii(((IIIIII))),,, CCCuuu(((IIIIII))),,, aaannnddd ZZZ nnn(((IIIIII))) iiinnn eeettt hhhaaannnooolll uuunnndddeeerrr rrreeefffllluuuxxx... ttt hhheeessseee cccooommmppp llleeexxxeeesss aaarrreee sss ttt aaabbbllleee iiinnn ttt hhhiiisss sssooollluuuttt iiiooonnn ...TTT hhheee aaannnaaalllyyy ttt iiicccaaalll aaannnddd ppp hhhyyy sss iiicccaaalll dddaaattt aaa wwweeerrrsss llliiisss ttt eeeddd iiinnn ttt aaabbbllleee (((111)))... TTT hhheee hhhiiiggghhheeerrr dddeeecccooommmppp ooosss iiittt iiiooonnn ppp oooiiinnnttt sss ooofff cccooommmppp llleeexxxeeesss iiinnn cccooommmppp aaarrriiisssooonnn wwwiiittt hhh fffrrreeeeee llliiigggaaannnddd sssuuuggggggeeesss ttt ttt hhheee ttt hhheeerrrmmmaaalll sss ttt aaabbbiiillliiittt yyy ooofff cccooommmppp llleeexxxeeesss wwwhhhiiiccchhh iiinnncccrrreeeaaassseeesss wwwiiittt hhh ttt hhheee iiinnncccrrreeeaaassseee ooofff eeellleeecccttt rrrooo nnneeegggaaattt iiivvviiittt yyy ooofff mmmeeettt aaalll iiinnn ttt hhheee ppp eeerrriiioooddd (((MMM nnn,,,CCCooo,,,NNNiii,,,aaannnddd CCCuuu)))... III ...RRR ssspppeee ccctttrrruuummm TTT hhheee IIIRRR sssppp eeecccttt rrruuummm ooofff ttt hhheee SSSccchhhiiiffffff bbbaaassseee ssshhhooowwwsss aaa mmmeeedddiiiuuummm bbbaaannnddd aaattt 333222555000 cccmmm --- 111 wwwhhhiiiccchhh aaassssss iiigggnnneeeddd ttt ooo --- NNNHHH 222 vvviiibbbrrraaattt iiiooonnn... TTT hhheee llliiigggaaannnddd hhhaaasss nnnooo aaabbbsssooorrrppp ttt iiiooonnn aaattt 111777000000 cccmmm---111 wwwhhhiiiccchhh cccooonnnfffiiirrrmmmsss ttt hhheee fffooorrrmmmaaattt iiiooonnn ooofff llliiigggaaannnddd uuuppp ooonnn cccooonnndddeeennnsssaaattt iiiooonnn wwwiiittt hhh eeettt hhhyyy llleeennneee dddiiiaaammmiiinnneee... TTT hhheee sss ttt rrrooonnnggg aaabbbsssooorrrppp ttt iiiooonnn aaattt 111666111555 cccmmm --- 111 rrreeegggiiiooonnn iiisss aaassssss iiigggnnneeeddd ttt ooo CCC===NNN vvviiibbbrrraaattt iiiooonnn[[[111777]]],,, fffiiiggg... (((111)))... IIInnn ttt hhheee sssppp eeecccttt rrraaa ooofff ssshhhiiifffttt bbbaaassseee cccooommmppp llleeexxxeeesss ,,, ttt hhheee ννν (((NNNHHH 222))) aaannnddd ννν (((CCC=== NNN ))) mmmooodddeeesss aaarrreee fffooouuunnnddd ttt ooo ssshhhiiifffttt ttt ooo lllooowwweeerrr ooorrr hhhiiiggghhheeerrr wwwaaavvveee nnnuuummmbbbeeerrrsss ,,, wwwhhhiiiccchhh iiinnndddiiicccaaattt eee ttt hhheee llliiinnnkkkaaagggeee ooofff fffooouuurrr nnniiittt rrrooogggeeennn aaattt ooommmsss ooofff aaammmiiinnnooo aaaccciiiddd ,,, iiisssooommmeeettt hhhiiinnneee gggrrrooouuuppp sss ttt ooo mmmeeettt aaalll aaattt ooommmsss ,,, aaallllll ttt hhheee cccooommmppp llleeexxxeeesss eeexxxhhhiiibbbiiittt eeeddd bbbaaannndddsss aaarrrooouuunnnddd (((444333000---555333000 cccmmm --- 111)))[[[111888]]],,, wwwhhhiiiccchhh cccooouuulllddd bbbeee aaassssss iiigggnnneeeddd ttt ooo ttt hhheee vvviiibbbrrraaattt iiiooonnnsss ooofff ννν (((MMM ---NNN))),,,fffiiiggguuurrreee (((222)))...fffuuurrrttt hhheeerrrmmmooorrreee,,, ttt hhheee ccchhhrrrooommmiiiuuummm(((IIIIIIIII))) cccooommmppp llleeexxxeeesss eeexxxhhhiiibbbiiittt eeeddd wwweeeaaakkk aaabbbsssooorrrppp ttt iiiooonnn iiinnn rrreeegggiiiooonnn (((222999000---333555000 cccmmm --- 111))) wwwhhhiiiccchhh iiisss aaassssss iiigggnnnaaabbbllleee ttt ooo ννν (((CCCrrr---CCClll))) vvviiibbbrrraaattt iiiooonnnsss [[[111999]]]... TTThhheee UUUVVV...VVViii sssbbblll eee ssspppeee ccctttrrraaa ooofff cccooommmppplll eee xxxeee sss TTT hhheee eeellleeecccttt rrrooonnniiiccc sssppp eeecccttt rrruuummm ooofff llliiigggaaannnddd (((111000 --- 333 MMM ))) iiinnn eeettt hhhaaannnooolll aaannnddd cccooommmppp llleeexxxeeesss (((111000 --- 333 MMM ))) iiinnn DDDMMM FFF,,, fffiiiggg...(((333))),,, ssshhhooowwwsss dddiiisss ttt iiinnncccttt ppp eeeaaakkksss aaattt 444000000000000,,,333111222555000 aaannnddd 222777777777777 cccmmm --- 111 ppp eeettt aaaiiinnniiinnnggg ttt ooo πππ→→→πππ*** ,,,nnn→→→πππ***,,, aaannnddd ccchhhaaarrrgggeee ttt rrraaannnsss fffeeerrr ttt rrraaannnsss iiittt iiiooonnnsss ooofff llliiigggaaannnddd [[[222000]]]... TTT hhheee CCCrrr(((IIIIIIIII))) cccooommmppp llleeexxx sssooollluuuttt iiiooonnn iiinnn DDDMMM FFF eeexxxhhhiiibbbiiittt sss ttt wwwooo wwweeeaaakkk bbbaaannndddsss aaattt 111444333000555 aaannnddd 111666111222999 cccmmm --- 111 wwwhhhiiiccchhh mmmaaayyy bbbeee aaassssss iiigggnnneeeddd ttt ooo AAA 222ggg444 →→→ TTT 222ggg444 (((111000DDD qqq ))) aaannnddd AAA 222ggg444 →→→ TTT 111ggg444(((ppp ))) rrreeesssppp eeecccttt iiivvveeelllyyy ... TTT hhheeessseee bbbaaannndddsss cccooonnnfffiiirrrmmm ttt hhheee ooocccttt aaahhheeedddrrraaalll eeennnvvviiirrrooonnnmmmeeennnttt aaarrrooouuunnnddd CCCrrr(((IIIIIIIII))) iiiooonnn[[[222111]]] ... TTT hhheee eeellleeecccttt rrrooonnniiiccc sssppp eeecccttt rrraaa ooofff MMM nnn (((IIIIII))) cccooommmppp llleeexxx ssshhhooowwweeeddd ttt wwwooo sssppp iiinnn aaallllllooowwweeeddd ttt rrraaannnsss iiittt iiiooonnn aaattt 333555777111444 aaannnddd 222666888888111 cccmmm --- 111,,, ttt hhheeessseee bbbaaannndddsss hhhaaavvveee bbbeeeeeennn aaassssss iiigggnnneeeddd ttt ooo πππ→→→πππ*** aaannnddd mmmeeettt aaalll ttt ooo llliiigggaaannnddd ccchhhaaarrrgggeee ttt rrraaannnsss fffeeerrr (((MMM LLLCCCTTT ))),,, sssuuuggggggeeesss ttt iiinnnggg ttt eeettt rrraaahhheeedddrrraaalll gggeeeooommmeeettt rrryyy aaarrrooouuunnnddd MMM nnn(((IIIIII))) iiiooonnnsss [[[222222]]]... مجلة إبن الھیثم للعلوم الصرفة و التطبیقیة 2012 السنة 25 المجلد 1 العدد Ibn Al-Haitham Journal for Pure and Applied Science No. 1 Vol. 25 Year 2012 AAAsss wwweeellllll aaasss CCCooo(((IIIIII))) cccooommmppp llleeexxx iiinnn DDDMMM FFF ssshhhooowwweeeddd aaabbbsssooorrrppp ttt iiiooonnn bbbaaannndddsss iiinnn ttt hhheee vvviiisss iiibbbllleee rrreeegggiiiooonnn 111666999444999,,, 111666111888111 aaannnddd 111444555999888 cccmmm --- 111 aaattt ttt rrriiibbbuuuttt eeeddd ttt ooo AAA 222 444 →→→ TTT 222 444 ,,, AAA 222 444 →→→ TTT 111 444 ,,, AAA 222 444 →→→ TTT 111 444 (((PPP))) rrreeesssppp eeecccttt iiivvveeelllyyy [[[222333]]],,, aaarrreee iiinnn cccooonnnfffooorrrmmmiiittt yyy wwwiiittt hhh ttt eeettt rrraaahhheeedddrrraaalll rrreeeaaarrrrrraaannngggeeemmmeeennnttt fffooorrr CCCooo(((IIIIII))) iiiooonnn... TTT hhheee rrreeeddd sssooollluuuttt iiiooonnn ooofff NNNiii(((IIIIII))) cccooommmppp llleeexxx eeexxxhhhiiibbbiiittt eeeddd aaabbbsssooorrrppp ttt iiiooonnn bbbaaannndddsss aaattt 222999444111111 aaannnddd 111888555111888 cccmmm --- 111 wwwhhhiiiccchhh cccaaannn bbbeee aaattt ttt rrriiibbbuuuttt eeeddd ttt ooo AAA 111ggg 111 →→→EEEggg111 aaannnddd AAA 111ggg 111 →→→BBB222ggg 111 ttt rrraaannnsss iiittt iiiooonnnsss rrreeesssppp eeecccttt rrriiivvvlllyyy ,,,ttt hhheeessseee bbbaaannndddsss cccooonnnfffiiirrrmmm ttt hhheee sssqqquuuaaarrreee ppp lllaaannnnnneeerrr aaarrrooouuunnnddd NNNiii(((IIIIII))) iiiooonnn[[[222444]]]... BBBeeesss iiidddeeesss ttt hhhaaattt ttt hhheee bbbrrrooowwwnnniiissshhh sssooollluuuttt iiiooonnn ooofff CCCuuu(((IIIIII))) cccooommmppp llleeexxx iiinnn DDDMMM FFF eeexxxhhhiiibbbiiittt eeeddd wwweeellllll–––rrreeesssooolllvvveeeddd bbbaaannndddsss aaattt 111666111222999 aaannnddd 222555333111666cccmmm --- 111 ,,, fffiiiggg...(((444))),,, wwwhhhiiiccchhh aaarrreee aaassssss iiigggnnneeeddd ttt ooo ttt hhheee ttt rrraaannnsss iiittt iiiooonnnsss BBB 111ggg 222 →→→AAA 111ggg 222 aaannnddd BBB111ggg222 →→→BBB222ggg222 rrreeesssppp eeecccttt iiivvveeelllyyy fffooorrr aaa lllooowww sssppp iiinnn sssqqquuuaaarrreee ppp lllaaannnnnneeerrr [[[222444]]]... HHHooowwweeevvveeerrr ,,, ttt hhheee ZZZ nnn(((IIIIII))) cccooommmppp llleeexxx eeexxxhhhiiibbbiiittt eeeddd ooonnnlllyyy hhhiiiggghhh iiinnnttt eeennnsss iiittt yyy bbbaaannnddd aaattt 222777000222555cccmmm---111 wwwhhhiiiccchhh iiisss aaassssss iiigggnnneeeddd aaasss iiinnnttt rrraaa ––– llliiigggaaannnddd ccchhhaaarrrgggeee ttt rrraaannnsss fffeeerrr (((IIINNNCCCTTT ))) ,,, ttt hhhiiisss iiisss iiinnn wwweeellllll aaagggrrreeeeeemmmeeennnttt wwwiiittt hhh ttt eeettt rrraaahhheeedddrrraaalll sssyyy mmmmmmeeettt rrryyy ooofff ZZZ nnn(((IIIIII))) cccooommmppp llleeexxx[[[222555,,,222666]]]... TTT hhheee mmmooolllaaarrr cccooonnnddduuucccttt aaannnccceee vvvaaallluuueeesss ooofff ttt hhheee sssooollluuubbbllleee MMM nnn(((IIIIII))) ,,,CCCooo(((IIIIII))),,,NNNiii(((IIIIII))),,,CCCuuu(((IIIIII))) aaannnddd ZZZ nnn(((IIIIII))) cccooommmppp llleeexxxeeesss iiinnn DDDMMM FFF sssooollluuuttt iiiooonnnsss (((111000 --- 333 MMM ))) wwweeerrreee iiinnn ttt hhheee rrraaannngggeee (((111222999---111555000)))ooohhhmmm--- 111...cccmmm222...mmmooolll--- 111 iiinnndddiiicccaaattt eeeddd ttt hhheee eeellleeecccttt rrrooolllyyy ttt iiiccc ccchhhaaarrraaacccttt eeerrrsss aaannnddd cccooonnnfffiiirrrmmm 111:::222 rrraaattt iiiooo [[[222777]]]... AAAsss wwweeellllll aaasss ttt hhheee CCCrrr(((IIIIIIIII))) cccooommmppp llleeexxx sssooollluuuttt iiiooonnn iiinnn DDDMMM FFF bbbeeehhhaaavvveeesss aaasss eeellleeecccttt rrrooolllyyy ttt eee iiinnn 111:::111 rrraaattt iiiooo ,,, hhhaaavvviiinnnggg aaa mmmooolllaaarrr cccooonnnddduuucccttt aaannnccceee vvvaaallluuueee ooofff 999555 ooohhhmmm --- 111...cccmmm222...mmmooolll--- 111 ... MMMaaagggnnneee tttiiiccc SSSuuusssccceeeppptttiiibbbiiillliiitttyyy MMMeeeaaasssuuurrreeemmmeeennntttsss MMM aaagggnnneeettt iiiccc mmmooommmeeennnttt fffooorrr CCCrrr(((IIIIIIIII))),,,MMM nnn (((IIIIII)))aaannnddd CCCooo(((IIIIII))) ssshhhooowwwsss vvvaaallluuueee ooofff 333...333000,,, 555...333000 aaannnddd 444...222000 BBB...MMM ,,, wwwhhhiiiccchhh aaagggrrreeeeeesss wwwiiittt hhh ttt eeettt rrraaahhheeedddrrraaalll sssyyy mmmmmmeeettt rrryyy [[[222888]]] wwwhhhiiillleee NNNiii(((IIIIII))) aaannnddd ZZZ nnn(((IIIIII))) wwweeerrreee dddiiiaaammmaaagggnnneeettt iiiccc aaannnddd CCCuuu(((IIIIII))) cccooommmppp llleeexxx ssshhhooowww dddeeecccrrreeeaaassseee iiinnn mmmaaagggnnneeettt iiiccc ppp rrroooppp eeerrrttt yyy (((111...000555 BBBMMM ))) [[[222999]]] ddduuueee ttt ooo ttt hhheee ooorrrbbbiiittt aaalll cccooonnnttt rrriiibbbuuuttt iiiooonnn ooofff sssqqquuuaaarrreee sssyyy mmmmmmeeettt rrryyy ooofff CCCuuu(((IIIIII)))iiiooonnn... TTT hhheee mmmaaagggnnneeettt iiiccc mmmooouuunnnttt sss ooofff ttt hhheee sssooollliiiddd cccooommmppp llleeexxxeeesss aaattt 333000000 KKK wwweeerrreee cccooonnnsss iiisss ttt eeennnttt wwwiiittt hhh ttt hhheee sssuuuggggggeeesss ttt eeeddd gggeeeooommmeeettt rrriiieeesss aaarrrooouuunnnddd ttt hhheee ccceeennnttt rrraaalll mmmeeettt aaalll iiiooonnn... TTT hhheee eeellleeemmmeeennnttt aaalll aaannnaaalllyyy ssseeesss ,,, mmmooolllaaarrr cccooonnnddduuucccttt aaannnccceee aaannnddd ttt hhheee mmmaaagggnnneeettt iiiccc mmmooommmeeennnttt mmmeeeaaasssuuurrreeemmmeeennnttt sss aaagggrrreeeeee wwwiiittt hhh ttt hhheee ppp rrroooppp ooossseeeddd fffooorrrmmmuuulllaaa ,,, aaannnddd aaalllsssooo cccooonnnfffiiirrrmmmeeeddd ttt hhheee sss ttt oooiiiccchhhiiiooommmeeettt rrriiieeesss [[[CCCrrr III III III LLLCCClll222]]]CCClll ,,, sssqqquuuaaarrreee ppp lllaaannnnnneeerrr ooofff [[[MMM LLL]]]CCClll222 MMM ===NNNiiiIII III aaannnddd CCCuuuIII III aaannnddd ttt eeettt rrraaahhheeedddrrraaalll ooofff [[[MMM LLL]]]CCClll222 MMM === MMM nnnIII III ,,, CCCoooIII III aaannnddd ZZZ nnnIII III fffiiiggg...(((888---111000)))... DDDeee ttteee rrrmmmiii nnnaaatttiii ooonnn ooofff cccoooppppppeee rrr mmmeee tttaaalll uuusss iii nnnggg ttthhheee pppuuurrrpppooossseee ddd mmmeee ttthhhoooddd... UUU...VVV---VVViiisss sssppp eeecccttt rrroooppp hhhooottt ooommmeeettt rrryyy iiisss aaannn iiimmmppp ooorrrttt aaannnttt iiinnnsss ttt rrruuummmeeennnttt aaalll mmmeeettt hhhoooddd fffooorrr ttt hhheee dddeeettt eeerrrmmmiiinnnaaattt iiiooonnn ooofff mmmeeettt aaalll iiiooonnnsss iiinnn ttt hhheeeiiirrr iiinnnooorrrgggaaannniiiccc ooorrr ooorrrgggaaannniiiccc cccooommmppp ooouuunnndddsss [[[222888]]] ... TTT hhheee llliiigggaaannnddd rrreeeaaacccttt sss wwwiiittt hhh ssseeevvveeerrraaalll mmmeeettt aaalll iiiooonnnsss sssuuuccchhh aaasss zzz iiinnnccc,,, cccooobbbaaalllttt ,,, cccoooppp ppp eeerrr,,, nnniiiccckkkeeelll,,, mmmaaannngggaaannneeessseee aaannnddd ccchhhrrrooommmiiiuuummm ttt ooo fffooorrrmmm mmmeeettt aaalll cccooommmppp llleeexxxeeesss wwwhhhiiiccchhh wwweeerrreee sss ttt uuudddiiieeesss aaabbbooovvveee ... TTT hhhiiisss ccchhheeelllaaattt iiinnnggg aaagggeeennnttt hhhaaasss bbbeeeeeennn uuussseeeddd ttt ooo dddeeettt eeerrrmmmiiinnneee ssseeevvveeerrraaalll mmmeeettt aaalll iiiooonnnsss bbbyyy UUUvvv---vvviiisss sssppp eeecccttt rrrooossscccoooppp yyy ... IIInnn ooorrrdddeeerrr ttt ooo hhhiiiggghhh llliiiggghhhttt sss uuuttt iiillliiittt yyy ooofff ttt hhheee ppp rrroooppp ooossseeeddd mmmeeettt hhhoooddd,,, iiittt wwwaaasss uuussseeeddd fffooorrr ttt hhheee sssppp eeecccttt rrroooppp hhhooottt ooommmeeettt rrriiiccc dddeeettt eeerrrmmmiiinnnaaattt iiiooonnn ooofff cccoooppp ppp eeerrr cccooonnnttt eeennnttt sss ((( aaasss eeexxxaaammmppp llleee)))aaattt oooppp ttt iiimmmaaalll cccooonnndddiiittt iiiooonnnsss fffiiiggg... (((555))) ,,, sssuuuccchhh aaasss eeeffffffeeecccttt ooofff ppp HHH aaannnddd eeeffffffeeecccttt ooofff ttt iiimmmeee ooonnn ttt hhheee cccooommmppp llleeexxx fffooorrrmmmaaattt iiiooonnn ... مجلة إبن الھیثم للعلوم الصرفة و التطبیقیة 2012 السنة 25 المجلد 1 العدد Ibn Al-Haitham Journal for Pure and Applied Science No. 1 Vol. 25 Year 2012 EEEffffffeee cccttt ooofff pppHHH TTT hhheee eeeffffffeeecccttt iiinnnfffllluuueeennnccceeesss ooofff ppp HHH ooofff ttt hhheee sssooollluuuttt iiiooonnn ooonnn ttt hhheee fffooorrrmmmaaattt iiiooonnn ooofff cccoooppp ppp eeerrr---LLL cccooommmppp llleeexxx wwweeerrreee iiinnnvvveeesss ttt iiigggaaattt eeeddd sssppp eeecccttt rrroooppp hhhooottt ooommmeeettt rrriiicccaaallllllyyy aaattt 333999000 nnnmmm uuusss iiinnnggg vvvaaarrriiiooouuusss sssooollluuuttt iiiooonnnsss ooofff dddiiiffffffeeerrreeennnttt ppp HHH vvvaaallluuueeesss (((222---999)))... TTT hhheee rrreeesssuuulllttt sss aaarrreee gggiiivvveeennn iiinnn FFFiiiggg... 666... aaasss cccooommmppp llleeexxx bbbeeegggiiinnnsss ttt ooo fffooorrrmmm aaattt aaappp ppp rrroooxxxiiimmmaaattt eeelllyyy ppp HHH 999...000,,, wwwiiittt hhh mmmaaaxxxiiimmmuuummm aaabbbsssooorrrbbbaaannnccceee bbbeeeiiinnnggg rrreeeaaaccchhheeeddd aaattt ppp HHH vvvaaallluuueeesss bbbeeettt wwweeeeeennn ppp HHH 222...000 ttt ooo ppp HHH 999...000... IIInnn ttt hhheee llliiiggghhhttt ooofff ttt hhheeessseee fffiiinnndddiiinnngggsss ,,, cccooommmppp llleeexxxeeesss wwweeerrreee fffooouuunnnddd aaattt ppp HHH 999...000 uuusss iiinnnggg aaaccceeettt aaattt eee bbbuuuffffffeeerrr sssooollluuuttt iiiooonnn... EEEffffffeee cccttt ooofff tttiii mmmeee ooonnn ttthhheee cccooommmppplll eee xxx fffooorrrmmmaaatttiii ooonnn TTT hhheee iiinnnfffllluuueeennnccceee ooofff ttt iiimmmeee ooonnn ttt hhheee fffooorrrmmmaaattt iiiooonnn ooofff ttt hhheee cccoooppp ppp eeerrr –––LLL cccooommmppp llleeexxx wwwaaasss aaalllsssooo sss ttt uuudddiiieeeddd aaattt ttt hhheee oooppp ttt iiimmmaaalll wwwooorrrkkkiiinnnggg cccooonnndddiiittt iiiooonnnsss ...TTT hhheee dddeeevvveeellloooppp mmmeeennnttt ooofff ttt hhheee cccoooppp ppp eeerrr –––LLL cccooommmppp llleeexxx iiisss cccooommmppp llleeettt eeeddd iiinnn 555 mmmiiinnnuuuttt eeesss ...TTT hhheee rrreeesssuuulllttt sss aaarrreee gggiiivvveeennn iiinnn fffiiiggg...(((666))) aaannnddd ttt hhheee cccooolllooorrr iiisss sss ttt aaabbbllleee fffooorrr aaattt llleeeaaasss ttt 222444 hhhooouuurrr... CCCaaalll iii bbbrrraaatttiii ooonnn cccuuurrrvvveee aaannnddd dddeee ttteee ccctttiii ooonnn lll iii mmmiii ttt AAA cccaaallliiibbbrrraaattt iiiooonnn cccuuurrrvvveee wwwaaasss cccooonnnsss ttt rrruuucccttt eeeddd fffooorrr cccoooppp ppp eeerrr iiinnn ttt hhheee rrraaannngggeee ooofff 111xxx 111000 --- 111 ttt ooo 111xxx 111000--- 555 MMM ooofff cccoooppp ppp eeerrr aaattt 333000555 nnnmmm aaaccccccooorrrdddiiinnnggg ttt ooo ttt hhheee gggeeennneeerrraaalll ppp rrroooccceeeddduuurrreee dddeeessscccrrriiibbbeeeddd aaabbbooovvveee... TTT hhheee cccaaallliiibbbrrraaattt iiiooonnn cccuuurrrvvveee cccaaannn bbbeee rrreeeppp rrreeessseeennnttt eeeddd bbbyyy aaa llliiinnneeeaaarrr rrreeegggrrreeessssss iiiooonnn eeeqqquuuaaattt iiiooonnn::: yyy === 000...111000444777xxx +++ 000...000000888666 (((rrr 222 === 000...999999999))) (((yyy === aaabbbsssooorrrbbbaaannnccceee,,, xxx === cccooonnnccceeennnttt rrraaattt iiiooonnn)))... TTT hhheee dddeeettt eeecccttt iiiooonnn llliiimmmiiittt sss bbbaaassseeeddd ooonnn ttt hhhrrreeeeee ttt iiimmmeeesss ttt hhheee sss ttt aaannndddaaarrrddd dddeeevvviiiaaattt iiiooonnnsss ooofff ttt hhheee bbblllaaannnkkk wwweeerrreee 222xxx111000 --- 666 (((NNN === 555 )))... TTT hhheee rrreeelllaaattt iiivvveee sss ttt aaannndddaaarrrddd dddeeevvviiiaaattt iiiooonnnsss fffooorrr ttt hhheee cccoooppp ppp eeerrr dddeeettt eeerrrmmmiiinnnaaattt iiiooonnnsss wwweeerrreee 222...333%%% (((NNN === 555))) aaattt 111xxx111000 --- 444 CCCuuu(((IIIIII))) SSS uuuggggggeee sss ttteee ddd sss ttteee rrreee oooccchhheee mmmiii sss tttrrryyy ooofff sssooommmppplll eee xxxeee sss AAAccccccooorrrdddiiinnn ggg ttt ooo ttt hhheee rrreeesssuuulllttt sss ooobbbttt aaaiiinnneeeddd fffrrrooommm eeelll eeemmmeeennnttt aaalll aaannnaaalllyyy sss iiisss aaannnddd sssppp eeecccttt rrraaalll dddaaattt aaa,,, ttt hhheee sssttt rrruuucccttt uuurrreeesss ooofff ttt hhheee aaabbbooovvveee mmmeeennnttt iiiooonnneeeddd cccooo mmmppp llleeexxxeeesss cccaaannn bbbeee iiilllllluuusss ttt rrraaattt eeeddd aaasss ssshhhooowwwnnn iiinnn fffiiiggg...((( 888,,,999,,,111000)))... SSS tttoooiii ccchhhiii ooommmeee tttrrryyy ooofff CCCuuu--- cccooommmppplll eee xxx AAAbbbsssooorrrbbbeeennnccciiieeesss wwweeerrreee mmmeee aaasssuuurrreeeddd aaa gggaaa iiinnnsss ttt bbblllaaannnkkksss ppp rrreeeppp aaarrreeeddd ssseeeppp aaarrraaattt eeelllyyy fffooorrr eeeaaaccchhh cccooonnnccceeennnttt rrraaattt iiiooonnn ooofff ccchhheeelllaaattt iiinnn ggg aaa gggeeennnttt aaattt ttt hhheee fffooorrrmmmeeeddd cccooommmppp llleeexxx... TTT hhheee rrreeesssuuulllttt sss ooofff cccooommmppp llleee xxxeeesss fffooorrrmmmaaattt iiiooonnn iiinnn eeettt hhhaaannnooolll sssooollluuuttt iiiooonnn wwweeerrreee llliiisss ttt eeeddd iiinnn ttt aaabbbllleee ((( 444 )))... FFFiii ggg...(((555))) ssshhhooowwweeeddd ttt hhheee mmmooolllaaarrr rrr aaattt iiiooo ooofff CCCuuu:::LLL wwwaaasss 111:::111[[[333000]]]... CCCooonnncccllluuusss iiiooonnn WWWeee hhhaaavvveee sssyyy nnnttt hhheeesss iiizzz eeeddd CCCrrr(((IIIIIIIII))),,, MMM nnn(((IIIIII))),,, CCCooo(((IIIIII))),,, NNNiii(((IIIIII))),,, CCCuuu(((IIIIII))) aaannnddd ZZZ nnn(((IIIIII))) cccooommmppp llleeexxxeeesss ooofff ttt hhheee mmmooonnnooocccyyy cccllliiiccc llliiigggaaannnddd fffooorrrmmmeeeddd bbbyyy ttt hhheee cccooonnndddeeennnsssaaattt iiiooonnn ooofff 444---aaammmiiinnnooo aaannnttt iiippp yyy rrriiinnneee aaannnddd eeettt hhhyyy llleeennneee dddiiiaaammmiiinnneee... TTT hhheee llliiigggaaannnddd bbbeeehhhaaavvveeesss aaasss ttt eeettt rrraaadddeeennnttt aaattt eee nnneeeuuuttt rrraaalll vvviiiaaa fffooouuurrr nnniiittt rrrooogggeeennn aaattt ooommmsss ooofff ttt wwwooo aaammmiiinnnooo gggrrrooouuuppp sss ooofff aaannnttt iiippp yyy rrriiinnneee rrriiinnnggg aaannnddd ttt wwwooo nnniiittt rrrooogggeeennn aaattt ooommmsss ooofff mmmeeettt aaalll llliiinnnkkkaaagggeee ttt ooo nnniiittt rrrooogggeeennn dddooonnnooorrr gggiiivvveee ttt hhheee cccooommmppp llleeexxxeeesss ooofff ttt hhheeerrrmmmaaalll aaannnddd kkkiiinnneeettt iiiccc sss ttt aaabbbiiillliiittt yyy ... TTT hhheee sssppp eeecccttt rrroooppp hhhooottt ooommmeeettt rrriiiccc aaannnaaalllyyy sss iiisss ooofff cccoooppp ppp eeerrr iiiooonnn uuusss iiinnnggg ttt hhheee llliiigggaaannnddd aaasss rrreeeaaagggeeennnttt wwwaaasss sss ttt uuudddiiieeeddd aaattt oooppp ttt iiimmmuuummm cccooonnndddiiittt iiiooonnnsss aaafffttt eeerrr dddeeettt eeerrrmmmiiinnnaaattt iiiooonnn ttt hhheee mmmooolllaaarrr rrraaattt iiiooo wwwhhhiiiccchhh wwweeerrreee ppp HHH === 999...000,,, λλλ mmm aaa xxx === 333999000 nnnmmm aaannnddd ttt iiimmmeee ooofff rrreeeaaacccttt iiiooonnn wwwaaasss 111000 mmmiiinnnuuuttt eeesss ... مجلة إبن الھیثم للعلوم الصرفة و التطبیقیة 2012 السنة 25 المجلد 1 العدد Ibn Al-Haitham Journal for Pure and Applied Science No. 1 Vol. 25 Year 2012 RRReeefffeeerrreeennnccceeesss 111---HHHiiittt ooossshhhiii,,, TTT ...;;; TTT aaammmooo,,, NNN... ;;; HHHiiidddeeeyyy uuukkkiii,,, AAA...;;; MMM aaannnaaabbbuuu,,, FFF... aaannnddd TTT aaakkkaaayyy uuukkkiii MMM ... ,,,(((111999999777))) PPPrrreeeppp aaarrraaattt iiiooonnn aaannnddd sssppp eeecccttt rrrooossscccoooppp iiiccc ccchhhaaarrraaacccttt eeerrriiizzz aaattt iiiooonnn ooofff iiirrrooonnn(((IIIIII))) aaannnddd cccoooppp ppp eeerrr(((IIIIII))) cccooommmppp llleeexxxeeesss ooofff fffuuunnncccttt iiiooonnnaaallliiizzz eeeddd cccrrrooowwwnnn eeettt hhheeerrr,,, ppp ooolllyyy hhheeedddrrrooonnn 111666 :::333777888777... 222---PPPuuunnnnnniiiyyy aaammmuuurrrttt hhhyyy TTT ,,,KKKaaalllrrraaa SSSTTT SSS aaannnddd IIIqqqbbbeeelll JJJ ...(((111999999555))) SSSyyy nnnttt hhheeesss iiisss ,,, sssppp eeecccttt rrraaalll ccchhhaaarrraaacccttt eeerrriiizzz aaattt iiiooonnn aaannnddd sss ttt rrruuucccttt uuurrraaalll iiinnnvvveeesss ttt iiigggaaattt iiiooonnn ooonnn sssooommmeee 444---aaammmiiinnnoooaaannnttt iiippp yyy rrriiinnneee cccooonnnttt aaaiiinnniiinnnggg SSSccchhhiiiffffff bbbaaassseee CCCuuu(((IIIIII))) cccooommmppp llleeexxxeeesss aaannnddd ttt hhheeeiiirrr mmmooolll eeecccuuulll aaarrr aaassssssoooccciiiaaattt iiiooonnn TTT eeettt rrraaahhheeedddrrrooonnn LLLeeettt ttt ... 333666 :::888444999777... 333---TTT rrriiivvveeedddiii GGG...SSS aaannnddd DDDeeesssaaa iii NNN...CCC... (((111999999222))) SSSyyy nnnttt hhheeesss iiisss ,,, sssppp eeecccttt rrraaalll ccchhhaaarrraaacccttt eeerrriiizzz aaattt iiiooonnn ooofff SSSccchhhiiiffffff bbb aaassseee ttt rrraaannnsss iiittt iiiooonnn mmmeeettt aaalll cccooommmppp llleee xxxeeesss ::: DDDNNNAAA cccllleee aaavvvaaa gggeee aaannnddd aaannnttt iiimmmiii cccrrrooobbbiiiaaa lll aaa cccttt iiivvviiittt yyy sssttt uuudddiiieeesss IIInnndddiiiaaannn JJJ ... CCChhheeemmm... BBB333111 :::333666666... 444---CCChhhoooiii ,,,YYY...KKK...;;; CCChhhooo jjjooo,,, KKK...HHH...;;; PPPooorrrkkk,,, SSS...MMM ... aaannnddd DDDoooddddddaaappp aaarrreeennniii NNN... (((111999999555))) JJJ ... EEEllleeecccttt rrroooccchhheee mmm...SSSooo ccc... 111444222 :::444111000777... 555---KKKaaattt iiiaaa,,, BBB...;;; SSSiiimmmooonnn,,, LLL... ;;; AAAnnnnnneee,,, RRR...;;; GGGeeerrr aaarrreeeddd ,,,CCC...;;; FFFrrraaannn cccaaaiiissseee,,, DDD... aaannnddd BBBeeerrrnnnaaarrr eeeddd,,, MMM ... (((111999999666)))IIInnnooorrrggg... CCChhheeemmm... 333555 :::333888777... 666--- TTT iiibbbllleeeaaannnddd,,, EEE...III... ;;; KKKaaassshhheeerrr AAA...SSS...aaannnddd PPPooolll iiissshhh... III...TTT ...(((111999999888))) SSSyyy nnnttt hhheeesss iiisss ,,, sssppp eeecccttt rrraaalll aaannnddd ttt hhheeerrrmmmaaalll sss ttt uuudddiiieeesss ooofff nnneeewww cccooopppppp eeerrr(((IIIIII))) cccooommmppp llleeexxxeeesss wwwiiittt hhh 111,,,222---dddiii(((iiimmm iiinnnooo---222---aaammm iiinnnooommmeeettt hhhyyy lllpppyyy rrriiidddiiilll)))eeettt hhhaaannneee,,, JJJ ...CCChhheeemmm...SSSooo ccc... ,,,777222 :::555111999... 777---HHHooodddeeennnttt ,,, EEE...MMM ... aaannnddd DDDuuunnnnnn,,, WWW... JJJ ... (((111999777222))) SSSyyy nnnttt hhheeesss iiisss aaannnddd CCChhhaaarrraaacccttt eeerrriiizzz aaattt iiiooonnn ooofff LLLaaannnttt hhhaaannniiidddeee(((IIIIIIIII))) CCCooo mmmppp llleeexxxeeesss WWWiiittt hhhsssaaallliii cccyyy llliiidddeeennneee---222---AAAmmmiiinnnoooppp yyy rrriiidddiiinnneee SSSyyy nnnttt hhheeesss iiisss aaannnddd RRReeeaaacccttt iiivvviiittt yyy iiinnn IIInnnooorrrgggaaannniii ccc JJJ ...MMM eeeddd... CCChhheeemmm... 111555 :::333333999 888---SSSiii gggmmm aaannn,,,DDD...SSS...;;;GGGrrraaahhh aaammm,,, DDD...RRR... aaannnddd AAAaaauuurrrooorrraaa,,, VVV...DDD... (((111999777999))) SSSyyy nnnttt hhheeesss iiisss ,,, sssppp eeecccttt rrraaalll ccchhhaaarrraaacccttt eeerrriiizzz aaattt iiiooonnn ooofff SSSccchhhiiiffffff bbbaaassseee ttt rrraaannnsss iiittt iiiooonnn mmm eeettt aaalll cccooommmppp llleee xxxeeesss ::: DDDNNNAAA cccllleee aaavvvaaa gggeee aaannnddd aaannnttt iiimmmiiicccrrrooobbbiii aaalll aaa cccttt iiivvviiittt yyy sssttt uuudddiiieeesss JJJ ...BBBiiiooolll... CCChhheeemmm... 222555444 :::111222666999... 999---TTT hhhaaannn gggaaaddduuurrraaarrr TTT ...DDD... ,,,aaannnddd NNNaaattt aaarrraaajjjaaannn KKK...(((222000000111))) SSSyyy nnnttt hhheeesss iiisss ,,, ccchhhaaarrraaacccttt eeerrriiisssaaattt iiiooonnn aaannnddd eeellleeecccttt rrroooccchhheee mmmiiiccc aaalll bbbeeehhh aaavvviiiooouuurrr ooofff CCCuuu(((IIIIII))),,, CCCooo(((IIIIII))),,, NNNiii(((IIIIII))) aaannnddd ZZZ nnn(((IIIIII))) cccooommmppp llleee xxxeeesss dddeeerrr iiivvveeeddd fffrrrooommm aaaccceeettt yyy lllaaaccceeettt ooonnneee aaannnddd ppp ---aaannniiisss iiidddiiinnneee &&& ttt hhheeeiiirrr aaannnttt iiimmmiiicccrrrooobbb iiiaaalll aaacccttt iiivvviiittt yyy ,,, IIInnndddiiiaaannn JJJ ...CCChhheeemmm... AAA444000 :::555777333... 111000---RRRaaammmaaannn,,, NNN...;;; MMM uuuttt hhhuuurrraaajjj,,, VVV...;;; RRRaaavvviii ccchhhaaarrrdddrrreee,,, SSS... aaannnddd KKKuuulll aaannndddaaaiiisssaaayyy mmm ,,,AAA...(((222000000333)))IIInnndddiiiaaannn JJJ ...CCChhheeemmm... 111111555 :::111666111 ... 111111---GGGeeemmmnnnaaa,,, RRR... (((111999999888))) EEE xxxttt rrraaacccttt iiiooonnn ppp rrroooccceeeddduuurrreee fffooorrr ttt hhheee dddeeettt eeerrrmmmiiinnnaaattt iiiooonnn ooofff hhheee aaavvvyyy mmmeeettt aaalllsss iiinnn cccooonnnttt aaammmiiinnnaaattt iiiooonnn sssoooiiilll aaannnddd ssseeeddd iiimmmeeennnttt 444666 :::444444999---444555555... 111222--- SSSccchhhmmm eeeeeekkk ,,,TTT ...;;; KKKoooccchhh,,, UUU... aaannnddd SSSccchhhuuuttt ttt ,,, BBB... (((222000000333))) DDDeeettt eeerrrmmmiiinnnaaattt iiiooonnn ooofff hhheeeaaavvvyyy mmmeeettt aaalllsss aaannnddd ppp eeerrrsss iiisssttt aaannnttt ooorrrgggaaannniiiccc ppp ooolllllluuuttt aaannnttt sss iiinnn ssseeedddiiimmmeeennnttt cccooorrreeesss fffrrrooommm sssooouuuttt hhh EEEttt hhhiiioooppp iiiaaa ,,,GGGeeeooo...SSSoooccc...AAAbbbsss ...PPPrrrooo... ,,,ppp ...111111222 111333---BBBeeettt ttt iiinnneeelllllliii,,, MMM ...;;; BBBeeeooonnneee,,, GGG...;;; SSSppp eeezzz iiiaaa,,, SSS... aaannnddd BBBaaaffffffiii,,, CCC...(((222000000000))) DDDeeettt eeerrrmmmiiinnnaaattt iiiooonnn ooofff hhheee aaavvvyyy mmmeeettt aaalllsss iiinnn sssoooiiilll aaannnddd ssseeedddiiimmm eeennnttt sss bbbyyy mmmiiicccrrrooowwwaaavvveee---aaassssss iiisss ttt eeeddd dddiii gggeeesss ttt iiiooonnn aaannnddd iiinnnddduuu cccttt iiivvveeelllyyy cccooouuuppp llleeeddd ppp lllaaasssmmmaaa ooopppttt iiicccaaalll eeemmmiiissssss iiiooonnn sssppp eeecccttt rrrooommmeeettt rrryyy aaannnaaalllyyy sss iiisss ,,, AAAnnnaaalll...CCChhheeemmm...AAAcccttt aaa... 444222444 :::222888999---222999 111444--- JJJoooccchhheeennn VVV... ,,, KKKlllaaannnsss GGG... ,,, (((111999999777))),,, DDDeeettt eeerrrmmmiiinnnaaattt iiiooonnn ooofff hhheeeaaavvvyyy mmmeeettt aaalllsss cccooommmppp llleeexxxeeesss wwwiiittt hhh hhhuuummmiiiccc sssuuubbbsss ttt aaannnccceeesss bbbyyy HHHPPPLLLCCC///IIICCCPPP---MMM SSS cccooouuuppp llliiinnnggg uuusss iiinnn ggg ooonnn---llliiinnn eee iiisssooottt oooppp eee dddiiillluuuttt iiiooonnn ttt eeeccchhhnnniiiqqquuueee ,,,JJJ ... AAAnnnaaalll ... CCChhheeemmm...... 333555999 :::444333888---444444111... مجلة إبن الھیثم للعلوم الصرفة و التطبیقیة 2012 السنة 25 المجلد 1 العدد Ibn Al-Haitham Journal for Pure and Applied Science No. 1 Vol. 25 Year 2012 111555---OOOrrrhhhaaannn,,, TTT ... aaannnddd MMM uuusssttt aaafffaaa,,, SSS... (((222000000555))) SSSppp eeecccttt rrroooppp hhhooottt ooommmeeettt rrriiiccc dddeeettt eeerrrmmmiiinnnaaattt iiiooonnn ooofff cccoooppp ppp eeerrr iiinnn nnnaaattt uuurrraaalll wwwaaattt eeerrrsss aaannnddd ppp hhhaaarrrmmmaaaccceeeuuuttt iiiccc aaalll sssaaa mmmppp llleeesss wwwiiittt hhh ccchhhlllooorrrooo(((ppp hhheeennnyyy lll))) ggglllyyy oooxxxiiimmm eee,,, JJJ ...CCChhhiiinnn...eee CCChhheeemmm... SSSooo ccc... ,,, 555222 :::555777555---555777888... 111666---HHHooonnnggg,,, BBB... ;;;SSSiii---QQQiiinnn ggg,,, XXX... ;;; HHHooonnn ggg---YYY... aaannnddd JJJ iiiaaannn,,, FFF...(((222000000444))) LLLiii ggghhhttt ---aaabbbsssooorrrppp ttt iiiooonnn rrraaattt iiiooo vvvaaarrriiiaaattt iiiooonnn aaapppppp rrroooaaaccchhh ttt ooo dddeeettt eeerrrmmmiiinnnaaattt iiiooonnn ooofff nnniiiccckkkeeelll (((IIIIII))) iiinnn nnnggg///mmm lll llleeevvveee lll wwwiiittt hhh 111,,, 555---dddiii(((222---hhhyyy dddrrroooxxxyyy ---555--- sssuuulllfffoooppp hhheeennnyyy lll)))---333---cccyyy aaannnooofffooorrrmmmaaazzz aaannn,,,JJJ ...wwwaaattt eeerrr rrreeeaaasss ... ,,, 333888(((111))) :::111666444222---111666555000... 111777--- SSSkkkoooooo ggg,,, DDD...AAA... (((111999888888))) FFFuuunnndddaaammm eeennnttt aaalll ooofff AAAnnnaaalllyyy ttt iiicccaaalll CCChhh eeemmmiiisss ttt rrryyy 555 ttthhh EEEddd... ,,,WWWiiilll eeeyyy IIInnnttt eeerrr ,,,NNNeeewww YYYooorrrkkk,,, 222444444111... 111888---NNNaaakkkaaammmooottt ooo,,, KKK... (((111999888666))) IIInnnfffrrraaarrreeeddd sssppp eeecccttt rrrooossscccooopppyyy ooofff IIInnnooorrrgggaaannniiiccc aaannnddd cccoooooorrrdddiiinnnaaattt iiiooonnn cccooommmppp ooouuunnndddsss (((NNNeeewwwYYYooorrrkkk ::: WWWiiillleeeyyy ))) ,,, 333 rrr ddd...EEEddd ,,,888111... 111999---SSShhhaaarrraaaddd aaa,,, LLL...NNN... aaannnddd GGGaaannnooorrrkkk aaarrr,,, MMM ...CCC... (((111999888888))) SSSyyy nnnttt hhheeesss iiisss aaannnddd SSSppp eeettt rrrooossscccoooppp iiiccc sss ttt uuudddiiieeesss ooofff CCCooo,,,NNNiii (((ΠΠΠ)))MMM aaannnnnniiiccchhh BBBaaassseee ooofff 444---AAAmmmiiinnnooo aaannnttt iiippp yyy rrriiinnneee IIInnndddiiiaaannn JJJ ...CCChhheeemmm... AAA222777 :::666111777... 222000--- FFFaaarrrmmmeeerrr,,, RRR...LLL... aaannnddd UUUrrrbbbaaa ccchhh,,, FFF...LLL... (((111999777444))) IIInnnooorrr ggg...CCChhheeemmm...,,,111333 :::555888777... 222111---MMM iiissshhhrrraaa,,, SSS... aaannnddd CCChhhaaattt uuurrrvvveeedddiii,,, NNN... (((111999999444))) JJJ ...IIInnndddiiiaaannn CCCooouuunnnccciiilll CCChhh eeemmm... 111000 :::777... 222222---DDDuuuttt aaa,,, RRR...LLL... aaannnddd SSSyyy aaammmaaalll,,, AAA... (((111999999222))) EEEllleee mmmeeennnttt sss ooofff mmmaaa gggnnncccttt oooccchhheeemmm iiisss ttt rrryyy ;;; 222 nnnddd EEEdddnnn...(((NNNeeewwwDDDeeelllhhhiii))) :::EEElllssseeevvviii eeerrr... 222333---RRRaaayyy ,,, RRR...KKK... aaannnddd HHHooofffmmmaaannn,,, GGG...RRR... (((111999999000))) IIInnnooorrrggg... CCChhheeemmm,,, AAAcccttt aaa,,,111777333 :::222000777... 222444--- AAAggggggaaarrreeewwwaaa lll ,,, RRR...CCC...;;; SSSiiinnn ggghhh,,, NNN...KKK... ;;; SSSiiinnn ggghhh RRR...PPP... (((111999777999))) SSSyyy nnnttt hhheeesss iiisss aaannnddd SSSttt rrruuucccttt uuurrraaalll sss ttt uuudddiiieeesss ooofff TTT rrraaannnsss iiittt iiiooonnn MMM eeettt aaalll CCCooommmppp llleeexxxeeesss ooofff 444---AAAmmmiiinnnooo aaannnttt iiippp yyy rrriiinnneee SSSccchhhiiiffffff BBBaaassseee IIInnnooorrr ggg...CCChhheee mmm...AAAcccttt aaa... 333222 :::888777---999000... 222555---LLLeeevvveeerrr,,, AAA...BBB...PPP... (((111999888444))) IIInnnooorrrgggaaannniiiccc EEEllleee cccttt rrrooonnniiiccc sssppp eeecccttt rrrooossscccooopppyyy “““ EEElllssseeevvviiirrreee ,,, AAAmmmsss ttt eeerrrdddaaammm... 222666---LLLeeevvveeerrr,,, AAA...BBB...PPP... aaannnddd DDDooodddssswwwooorrrttt hhh,,, EEE...SSS...(((222000000444))) IIInnn CCCooo mmmppp rrreeehhheeennnsss iiivvveee CCCoooooorrrdddiiinnn aaattt iiiooonnn CCChhheeemmm iiisss ttt rrryyy “““ VVVooolll...222 eeedddiiittt eeeddd bbbyyy AAA...BBB... LLLeeevvveeerrr ,,,EEElllssseeevvviii eeerrr ppp uuubbbllliiissshhheeerrrsss ... 222777---GGGeeeaaarrryyy ,,, WWW...JJJ ...(((111999777111)))”””TTT hhheee uuussseee ooofff cccooonnnddduuucccttt iiivvviiitttyyy mmmeeeaaasssuuurrreeemmmeeennnttt sss iiinnn ooorrrgggaaannniii ccc sssooolllvvveeennnttt sss fffooorrr ttt hhheee ccchhhaaarrraaacccttt eeerrriiizzz aaattt iiiooonnn ooofff cccoooooorrrdddiiinnn aaattt iiiooonnn cccooommmppp ooouuunnndddsss “““ ,,,CCCoooooorrrddd...CCChhheeemmm...RRReeevvv... ,,,777:::888111... 222888---CCCooottt ttt ooonnn,,,FFF...AAA...aaannndddWWWiiillllllkkkiiinnnsssooonnn,,,GGG...(((111999888888)))”””AAAdddvvvaaannnccceeeddd IIInnnooorrr gggaaannniiiccc CCChhheeemmm iiisss ttt rrryyy 555 ttthhh eeeddd... ,,,WWWiiillleeeyyy ,,,NNNeeewwwYYYooorrrkkk... 222999---DDDooouuuggglllaaasss ,,, SSS...;;; DDDooonnnaaalllddd,,, WWW...;;; HHHooolll llleeerrr ,,,FFF... aaannnddd CCCrrrooouuuccchhh ,,, SSS... (((222000000333))) ”””FFFuuunnndddaaammmeeennnttt aaalll ooofff AAAnnnaaalllyyy ttt iiicccaaalll CCChhh eeemmm iiisssttt rrryyy ”””888 ttt hhh EEEddd... ,,,SSSaaauuunnn dddeeerrr sss cccooo lllllleeegggeee ,,,NNNeeewww YYYooo rrrkkk,,, pppppp ... 111 111666 888... 333 000 ---RRRooo gggooo,,, ZZZ...MMM... aaannn ddd PPPooo nnn iiikkk aaarrrooo vvvaaa,,, TTT...MMM... (((111999 777000 ))) “““ CCCooo lllooo uuurrr iiimmm eeetttrrr iiiccc dddeeettteeerrrmmm iiinnn aaattt iiiooonnn ooo fff mmm eeettt aaalll iiiooonnn sss”””444000 :::222333 555777 ... مجلة إبن الھیثم للعلوم الصرفة و التطبیقیة 2012 السنة 25 المجلد 1 العدد Ibn Al-Haitham Journal for Pure and Applied Science No. 1 Vol. 25 Year 2012 TTTaaabbblll eee (((111)))::: PPPhhhyyysssiii cccaaalll ppprrrooopppeee rrrtttiii eee sss ,,, aaannnaaalll yyytttiii cccaaalll dddaaatttaaa,,, mmmaaagggnnneee tttiii ccc mmmooommmeee nnntttsss aaannnddd mmmooolll aaarrr cccooonnnddduuuccctttiii vvviii tttiii eee sss ooofff ttthhheee PPPrrreee pppaaarrreee ddd CCCooommmpppooouuunnndddsss ... *** ttthhheee mmmooolll aaarrr cccooonnnddduuuccctttaaannnccceee wwweee rrreee mmmeee aaasssuuurrreee ddd iiinnn 111000 --- 333 MMM sssooolll uuutttiii ooonnn (((DDDMMMFFF)))... AAAnnn aaalllyyy sssiiisss FFFooo uuunnn ddd((( cccaaalllccc...%%%))) CCCooo mmm pppooo uuunnn ddd MMM CCC HHH NNN YYYiiieeelllddd %%% μμμ eeefff fff ... BBB...MMM ΛΛΛ*** OOOhhh mmm ---111 cccmmm 222 mmm ooo lll ... ---111 LLL 666 666 ...999 777(((666666 ...999999 ))) 666 ...999777 (((777 ...111))) 222 666 ...000 444(((222555 ...999999 ))) 777 000 [[[CCCrrrLLLCCClll222 ]]] CCClll 888 ...999999 (((888 ...777111 ))) 444 888 ...888 555(((444777 ...999111 ))) 555 ...000888 (((444 ,,,999111 ))) 111 888 ...999 999(((111999 ...000000 ))) 888 000 333 ...333000 999 555 [[[ MMMnnn LLL]]] CCClll222 999 ...888999 (((888 ...999999 ))) 555 111 ...777 999(((555000 ...777999 ))) 555 ...333999 (((444 ...888777 ))) 222 000 ...111 444(((222111 ...000111 ))) 888 000 555 ...333 111 444 666...555 [[[ CCCooo LLL]]] CCClll222 111 000 ...111 222(((999 ...888 111))) 555 111 ...666 111(((555000 ...999888 ))) 666 ...000111 (((555 ...999111 ))) 222 000 ...000 777(((222111 ...000111 ))) 999 000 444 ...222 111 555 000...333 [[[ NNNiii LLL]]] CCClll 222 111 000 ...333 777(((999 ...888 999))) 555 000 ...999 111(((444999 ...999222 ))) 555 ,,,888111 (((555 ...000000 ))) 222 000 ...888 111(((222111 ...999111 ))) 888 555 000 ...000 111 333 555 [[[ CCCuuu LLL]]] CCClll 222 111 111 ...222 777(((111000 ...999 555 ))) 555 000 ...000 111(((444999 ...888111 ))) 444 ...999222 (((333 ...888111 ))) 111 999 ...999 000(((222000 ...333000 ))) 999 222 111 ...000555 111 222 999 [[[ ZZZnnn LLL]]] CCClll 222 111 000 ...777 111(((999 ...999 111))) 555 111 ...000 000(((555000 ...888111 ))) 555 ...222111 (((555 ...111111 ))) 222 000 ...333 111(((222000 ...666111 ))) 777 333 000 ...000 111 444 111 مجلة إبن الھیثم للعلوم الصرفة و التطبیقیة 2012 السنة 25 المجلد 1 العدد Ibn Al-Haitham Journal for Pure and Applied Science No. 1 Vol. 25 Year 2012 TTTaaabbblll eee (((222))) ::: III...RRR ssspppeee ccctttrrraaalll dddaaatttaaa ooofff ttthhheee lll iii gggaaannnddd aaannnddd iii tttsss mmmeee tttaaalll sss cccooommmpppllleee xxxeeesss (((ννν cccmmm --- 111))) OOOttt hhheeerrr bbbaaannn dddsss ννν MMM---CCClll ννν MMM---NNN ννν NNNHHH222 ννν CCC===NNN CCCooo mmm pppooo uuunnn ddd 111 555 000000 ---111 666000 000(((CCC===CCC))) 222 999 777000 (((CCC---HHH))) --- --- --- --------- 333 222 555000 (((mmm ))) 111 666 111555 (((SSS))) LLL 111 444 000000 ,,,111 333777 000 ...222 999777 000(((CCC--- HHH))) 222 999 000,,,333555 000(((www))) 555 000 000 333 111 888000 (((bbbrrr 111 555 999000 ((( sss))) CCCrrrLLL 222 999 888000 (((CCC---HHH))) --- --- --- 444 666 000--- 444 999 000(((mmm))) 333 111 555000 (((mmm ))) 111 666 999000 ((( sss MMMnnn LLL 222 999 666222 (((mmm )))777 222222 ((( sssCCCHHH222 ))) --- --- --- 555 111 000--- 555 333 000(((mmm))) 333 222 000000 (((bbbrrr))) 111 555 777555 ((( sss))) CCCooo LLL 444 999 555(((mmm))) 333 222 555000 (((bbbrrr))) 111 555 777555 ((( sss))) NNNiiiLLL --- --- --- 444 999 000(((mmm))) 333 111 888555 --- 333 222 000000 (((bbbrrr))) 111 555 888000 (((mmm ))) CCCuuuLLL --- --- --- 444 333 000 (((mmm ))) 333 222 000000 (((www))) 111 666 333000 ((( sss))) ZZZnnn LLL sss === sssttt rrrooo nnn ggg,,, mmm === mmm eeedddiiiuuummm ,,, bbbrrr === bbbrrrooo aaaddd aaannn ddd www === wwweeeaaakkk مجلة إبن الھیثم للعلوم الصرفة و التطبیقیة 2012 السنة 25 المجلد 1 العدد Ibn Al-Haitham Journal for Pure and Applied Science No. 1 Vol. 25 Year 2012 TTTaaabbblll eee (((333))) :::EEElll eee ccctttrrrooonnniii ccc ssspppeee ccctttrrraaalll dddaaatttaaa ννν mmmaaaxxx cccmmm--- 111 ooofff ttthhheee ppprrreee pppaaarrreee ddd cccooommm ppplll eee xxxeeesss PPP rrrooo pppooo ssseeeddd sssttt rrruuucccttt uuurrr eee AAAssssssiiigggnnn mmm eeennn ttt εεε mmm aaaxxx ... LLL...MMMooo lll ---111... cccmmm ---111 ννν cccmmm ---111 CCCooo mmm pppooo uuunnn ddd --------- CCChhh aaarrrgggeee tttrrr aaannn sssfffeeerrr πππ →→→πππ *** 222 000555 000000 111 222555 000000 222 777 777777 777 444 000 ,,,000 000000 LLL OOOcccttt aaahhh eeedddrrr aaalll CCChhh aaarrrgggeee tttrrr aaannn sssfffeeerrr AAA222 ggg444 →→→ TTT 222 ggg444 AAA222 ggg444 →→→ TTT 111 ggg444 333000 555000 000 222 333 000 888 000 222 888 111666 999 111 444 333000 555 111 666 111222 999 CCCrrrLLL TTT eeettt rrr aaahhh eeedddrrr aaalll πππ →→→πππ *** AAA444 222 →→→TTT 444 222 (((FFF ))) AAA444 222 →→→TTT 444 111 (((FFF ))) AAA444 222 (((FFF)))→→→TTT 444 111 (((PPP ))) 111 333 555000 000 111 111 555 111888 222 222111 000 333 777000 333777 111 666 999444 999 111 666 111888 111 111 444 555999 888 CCCooo LLL SSSqqquuuaaarrr eee ppp lllaaannn aaarrr πππ →→→πππ*** AAA111 ggg111 (((DDD )))→→→EEEggg111 (((GGG ))) AAA111 ggg111 →→→BBB111 ggg111 (((GGG ))) 111 000333 000000 222 222 555 888 222 333 888 444666 111 222 999 444111 111 111 888 555111 888 NNNiiiLLL SSSqqquuuaaarrr eee ppp lllaaannn aaarrr πππ →→→πππ *** BBB111 ggg222 →→→AAA111 ggg222 BBB111 ggg222 →→→BBB222 ggg222 333 111 888000 222 222 555000 000 111 111 888 444 000 888111 666 222 555 333111 666 111 666 111222 999 CCCuuuLLL TTT eeetttrrr aaahhh eeedddrrr aaalll πππ →→→πππ *** MMM→→→LLL... CCC...TTT 111 999 888000 222 555 000000 000 333 555 777111 444 222 666 888888 111 MMMnnn LLL TTT eeetttrrr aaahhh eeedddrrr aaalll πππ →→→πππ *** LLL→→→MMM CCC...TTT 333 444 555000 333 111222 000000 333 444 444888 222 222 777 000222 555 ZZZnnn LLL مجلة إبن الھیثم للعلوم الصرفة و التطبیقیة 2012 السنة 25 المجلد 1 العدد Ibn Al-Haitham Journal for Pure and Applied Science No. 1 Vol. 25 Year 2012 TTTaaabbblll eee (((444))) ::: CCCooonnntttiii nnnuuuooouuusss vvvaaarrriii aaatttiii ooonnn dddaaatttaaa fffooorrr CCCuuu ––– LLL cccooommm ppplll eee xxx aaattt λλλ mmmaaaxxx (((333999000 nnnmmm))) aaabbbsss... VVVLLL /// VVVLLL+++ VVVMMM 111 ...555777 222 000 ...111000 111 ...999000 000 000 ...222000 333 ...444333 555 000 ...444000 333 ...111999 888 000 ...444555 111 ...888888 333 000 ...888222 111 ...555555 000 000 ...888555 111 ...444888 222 000 ...888666 FFFiii ggg ... (((111 ))) ::: ttthhheee FFFTTT--- IIIRRR ooo fff lll iiiggg aaannn ddd iiinnn KKKBBB rrr---dddiiisss kkk مجلة إبن الھیثم للعلوم الصرفة و التطبیقیة 2012 السنة 25 المجلد 1 العدد Ibn Al-Haitham Journal for Pure and Applied Science No. 1 Vol. 25 Year 2012 FFFiii ggg... ((( 222 ))) ::: TTThhh eee FFFTTT--- IIIRRR ooo fff CCCooo ((( IIIIII))) cccooommm pppllleeexxx iiinnn CCCsss III---dddiiissskkk FFFiii ggg ... ((( 333))) ::: TTThhh eee UUUVVV... ––– VVViii sss... ooofff lll iiiggg aaannn ddd iiinnn eeettthhh aaannnooo lll مجلة إبن الھیثم للعلوم الصرفة و التطبیقیة 2012 السنة 25 المجلد 1 العدد Ibn Al-Haitham Journal for Pure and Applied Science No. 1 Vol. 25 Year 2012 FFFiii ggg ... (((444 ))) ::: TTThhh eee UUUVVV... ––– VVViii sss... ooofff CCCuuu---LLL cccooommm pppllleee xxx iii nnn DDDMMMFFF FFFiii ggg ... (((555 ))) ::: cccooo nnntttiiinnnuuu ooouuusss vvvaaa rrriii aaatttiii ooonnn ppplllooo ttt fffooo rrr ttthhheee CCCuuu((( IIIIII))) cccooommm pppllleeexxx aaattt λλλmmm aaaxxx === 333 999000 nnnmmm ... مجلة إبن الھیثم للعلوم الصرفة و التطبیقیة 2012 السنة 25 المجلد 1 العدد Ibn Al-Haitham Journal for Pure and Applied Science No. 1 Vol. 25 Year 2012 2.00 4.00 6.00 8.00 10.00 pH 0.00 0.20 0.40 0.60 0.80 A b s FFFiii ggg... (((666))) ::: EEEffffffeee cccttt ooofff pppHHH ooonnn fffooorrrmmmaaatttiii ooonnn ooofff CCCuuu ::: LLL cccooommm ppplll eee xxx 0.00 20.00 40.00 60.00 80.00 Time (min) 1.00 2.00 3.00 4.00 5.00 A b s FFFiii ggg... (((777))) ::: EEEffffffeee cccttt ooofff tttiii mmmeee ooonnn cccooommmppplll eee xxx fffooorrrmmmaaatttiii ooonnn CCCuuuLLL مجلة إبن الھیثم للعلوم الصرفة و التطبیقیة 2012 السنة 25 المجلد 1 العدد Ibn Al-Haitham Journal for Pure and Applied Science No. 1 Vol. 25 Year 2012 FFFiii ggg... (((888 ))) ::: PPPrrrooopppooossseee ddd sss tttrrruuuccctttuuurrreee ooofff CCCrrr(((IIIIIIIII))) cccooommm ppplll eee xxx N N NH2CH3 CH3 Ph N N NH2 CH3 CH3 Ph = N-CH2-CH2-N = M Cl 2 MMM ::: MMMnnn +++222 ,,, CCCooo +++ 222 aaannn ddd ZZZnnn +++ 222 FFFiii ggg... ((( 999 ))) ::: PPPrrrooopppooossseee ddd sss tttrrruuuccctttuuurrreee ooofff MMMnnn(((IIIIII))),,, CCCooo((( IIIIII))) AAANNNDDD ZZZnnn((( IIIIII))) cccooommmppplll eee xxxeee sss N N NH2CH3 CH3 Ph N N NH2 CH3 CH3 Ph = N-CH2-CH2-N = M Cl 2 MMM ::: NNNiii+++ 222 aaannn ddd CCCuuu+++ 222 FFFiii ggg... ((( 111000 ))) ::: PPPrrrooopppooossseee ddd sss tttrrruuuccctttuuurrreee ooofff NNNiii (((IIIIII))) aaannnddd CCCuuu(((IIIIII))) cccooommmppplll eee xxxeee sss مجلة إبن الھیثم للعلوم الصرفة و التطبیقیة 2012 السنة 25 المجلد 1 العدد Ibn Al-Haitham Journal for Pure and Applied Science No. 1 Vol. 25 Year 2012 ---444́´́(((ثنائي ثنائي ثنائي 222---111تشخیص ودراسة تحلیلیة لمعقدات بعض الفلزات المشتقات من تشخیص ودراسة تحلیلیة لمعقدات بعض الفلزات المشتقات من تشخیص ودراسة تحلیلیة لمعقدات بعض الفلزات المشتقات من داایمینو ایثان داایمینو ایثان داایمینو ایثان ---)))ایلایلایل---فنیل بایروزولینفنیل بایروزولینفنیل بایروزولین---111 ́ ´ ´––– ثنائي مثیل ثنائي مثیل ثنائي مثیل 333́´́---222́´́---امینوامینوامینو جمیل موسى ضباب، محمود نجم الجبوري ، هناء حسن الباجالن جمیل موسى ضباب، محمود نجم الجبوري ، هناء حسن الباجالن جمیل موسى ضباب، محمود نجم الجبوري ، هناء حسن الباجالن قسم الكیمیاء ، كلیة العلوم ،الجامعة المستنصریة قسم الكیمیاء ، كلیة العلوم ،الجامعة المستنصریة قسم الكیمیاء ، كلیة العلوم ،الجامعة المستنصریة 201120112011 تشرین األول تشرین األول تشرین األول 181818: : : قبل البحث في قبل البحث في قبل البحث في 201120112011باط باط باط ش ش ش777: : : استلم البحث في استلم البحث في استلم البحث في الخالصة الخالصة الخالصة ـــى الكــروم الثالثـــي و المنغنیــز و الكوبلـــت ـة االول ــات عناصــر السلـــسلة االنتقالیـ ـــى الكــروم الثالثـــي و المنغنیــز و الكوبلـــت حــضرت معقــدات جدیـــدة لــبعض ایونـ ـة االول ــات عناصــر السلـــسلة االنتقالیـ ـــى الكــروم الثالثـــي و المنغنیــز و الكوبلـــت حــضرت معقــدات جدیـــدة لــبعض ایونـ ــات عناصــر السلـــسلة االنتقالیــة االول حــضرت معقــدات جدیـــدة لــبعض ایونـ . . . المینالمینالمین انتي بایرین و اثلین ثنائي ا انتي بایرین و اثلین ثنائي ا انتي بایرین و اثلین ثنائي ا––– امینو امینو امینو ---444والنیكل والنحاس و الزنك الثنائیة مع قاعدة شیف مشتقات من والنیكل والنحاس و الزنك الثنائیة مع قاعدة شیف مشتقات من والنیكل والنحاس و الزنك الثنائیة مع قاعدة شیف مشتقات من ًطیـف االمتـصاص الـذري اللهبـي فـضال عـن ًطیـف االمتـصاص الـذري اللهبـي فـضال عـن ًطیـف االمتـصاص الـذري اللهبـي فـضال عـن ، ، ، (((CCC...HHH...NNN))) ومعقداته بواسـطة التحلیـل الـدقیق للعناصـر ومعقداته بواسـطة التحلیـل الـدقیق للعناصـر ومعقداته بواسـطة التحلیـل الـدقیق للعناصـر (((LLL))) شخص اللیكاند شخص اللیكاند شخص اللیكاند UUUVVV---VVViiisssالطرائـق الطیفیـة المعروفـة الطرائـق الطیفیـة المعروفـة الطرائـق الطیفیـة المعروفـة ,,, FFFTTT ---IIIRRR ، ، ، واظهـرت الدراســات واظهـرت الدراســات واظهـرت الدراســات ، ، ، قیـاس الحـساسیة المغناطیــسیة للمعقـدات الـصلبة قیـاس الحـساسیة المغناطیــسیة للمعقـدات الـصلبة قیـاس الحـساسیة المغناطیــسیة للمعقـدات الـصلبة من خالل ذرات نتروجین مجامیع االیزومیثاین و االمین كما اسـتنتج الـشكل ثمـاني من خالل ذرات نتروجین مجامیع االیزومیثاین و االمین كما اسـتنتج الـشكل ثمـاني من خالل ذرات نتروجین مجامیع االیزومیثاین و االمین كما اسـتنتج الـشكل ثمـاني الطیفیة ان اللیكاند یسلك رباعي االرتباط الطیفیة ان اللیكاند یسلك رباعي االرتباط الطیفیة ان اللیكاند یسلك رباعي االرتباط ـة ـةالــسطوح مثــل معقــد الكــروم الثالثــي ،و الــشكل المربــع المــستوي للنیكــل والنحــاس الثنائیــةالــسطوح مثــل معقــد الكــروم الثالثــي ،و الــشكل المربــع المــستوي للنیكــل والنحــاس الثنائیـ فیمــا اظهــرت معقــدات المنغنیــز فیمــا اظهــرت معقــدات المنغنیــز فیمــا اظهــرت معقــدات المنغنیــز الــسطوح مثــل معقــد الكــروم الثالثــي ،و الــشكل المربــع المــستوي للنیكــل والنحــاس الثنائیـ . . . والكوبلت والزنك تماثال رباعي السطوح والكوبلت والزنك تماثال رباعي السطوح والكوبلت والزنك تماثال رباعي السطوح یین عنصر النحاس بأستعمال اللیكاند المحضر كاشفا عضویا بعد تثبیـت الظـروف یین عنصر النحاس بأستعمال اللیكاند المحضر كاشفا عضویا بعد تثبیـت الظـروف یین عنصر النحاس بأستعمال اللیكاند المحضر كاشفا عضویا بعد تثبیـت الظـروف اجریت دراسة تحلیلیة طیفیة لتع اجریت دراسة تحلیلیة طیفیة لتع اجریت دراسة تحلیلیة طیفیة لتع pppالدالـة الحامـضیة الدالـة الحامـضیة الدالـة الحامـضیة ، ، ، المثلـى مـن زمـن التفاعـل المثلـى مـن زمـن التفاعـل المثلـى مـن زمـن التفاعـل HHH و دراسـة النـسبة المولیـة و دراسـة النـسبة المولیـة و دراسـة النـسبة المولیـة (((MMM ::: LLL))) ووجـد ان الكاشـف ووجـد ان الكاشـف ووجـد ان الكاشـف (((LLL))) یعطـي انتقائیـة یعطـي انتقائیـة یعطـي انتقائیـة pppجیدة للنحاس الثنائي عند جیدة للنحاس الثنائي عند جیدة للنحاس الثنائي عند HHH === 999 111:::111)))((( دقیقة وبنسبة مولیة دقیقة وبنسبة مولیة دقیقة وبنسبة مولیة101010 وزمن وزمن وزمن (((LLL ::: MMM 222000xxx111000...000تصاصیة موالریهتصاصیة موالریهتصاصیة موالریه وعند ام وعند ام وعند ام((( 444 LLL/// mmmooolll...cccmmm ... نتقالیة: الكلمات المفتاحیة امینوانتي بایرین- 4، قواعد شیف ، معقدات العناصر اال مجلة إبن الھیثم للعلوم الصرفة و التطبیقیة 2012 السنة 25 المجلد 1 العدد Ibn Al-Haitham Journal for Pure and Applied Science No. 1 Vol. 25 Year 2012