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Estrutura atômica (OLDQH�6ORERGD 5LJREHOOR � Porque é importante conhecer a estrutura de um átomo? $ HVWUXWXUD GR iWRPR HVWi UHODFLRQDGD FRP DV SURSULHGDGHV GD PDWpULD� 2 FRPSRUWDPHQWR ItVLFR H TXtPLFR GD PDWpULD GHSHQGH GD PDQHLUD SHOD TXDO RV iWRPRV LQWHUDJHP H HVWD� SRU VXD YH]� GHSHQGH GD VXD HVWUXWXUD� � Problemas do átomo de Rutherford ���)RUoD HOHWURVWiWLFD oo iWRPR LQVWiYHO� �� (PLVV}HV GD UDGLDomR GH JDVHV o DV yUELWDV GRV HOpWURQV QmR SRGHP HVWDU D TXDOTXHU GLVWkQFLD GR Q~FOHR �RX D HVWDGRV GD HQHUJLD HVSHFtILFRV� NÃO�PODERIA�EXISTIR�DE� ACORDO�COM�A�FÍSICA� CLÁSSICA.� � MModelo Atômico de Bohr 0RGHOR�$W{PLFR�� GH�5XWKHUIRUG 0RGHOR�$W{PLFR�GH�%RKU 0RGHOR�4XkQWLFR GR�ÈWRPR 4XDQWL]DomR�GH� (QHUJLD��)Ï7216� (�48$1780� � RRadiação Eletromagnética x Estrutura Atômica $ PDLRU SDUWH GR FRQKHFLPHQWR TXH WHPRV GD HVWUXWXUD HOHWU{QLFD DWXDO IRL IXQGDPHQWDGR QD REVHUYDomR GD LQWHUDomR GD OX] FRP D PDWpULD �OX] HPLWLGD RX DEVRUYLGD�� $Wp R VpFXOR ;,;� FLHQWLVWDV DFUHGLWDYDP TXH D PDWpULD HUD FRQVWLWXtGD GH SDUWtFXODV H D UDGLDomR GH RQGDV� &RP D LQWURGXomR GD PHFkQLFD TXkQWLFD SDVVD�VH D DGRWDU R FRPSRUWDPHQWR GXDO GD PDWpULD �RQGD�SDUWtFXOD�� 3DUD FRPSUHHQGHUPRV PHOKRU RV PRGHORV DW{PLFRV TXH VXFHGHUDP R PRGHOR GH 5XWKHUIRUG QHFHVVLWDPRV FRQKHFHU PHOKRU R FRPSRUWDPHQWR GH RQGDV H GD UDGLDomR HOHWURPDJQpWLFD �HQHUJLD UDGLDQWH�� $ VHJXLU VHUmR DSUHVHQWDGDV DOJXPDV GHILQLo}HV EiVLFDV� � RRadiação Eletromagnética 5$',$d2� (/(7520$*1e7,&$ 'HVFULWD�SRU�21'$6 &DUDFWHUL]DGDV�SRU� VHX�FRPSULPHQWR�GH� RQGD��Ȝ��RX�VXD� IUHTXrQFLD��Q� 8VDQGR D VXSHUItFLH GD iJXD SRGHPRV GHVFUHYHU R FRPSRUWDPHQWR GH RQGDV� 2 FRPSULPHQWR GH RQGD �Ȝ� FRUUHVSRQGH D GLVWkQFLD HQWUH GXDV FULVWDV H D IUHTrQFLD �Q� p R Q~PHUR GH FULVWDV GH RQGDV SDVVDQGR SRU XP SRQWR SRU XQLGDGH GH WHPSR� $ YHORFLGDGH GH SURSDJDomR GD RQGD �YHORFLGDGH GD OX] QR YiFXR� p � F Ȝ�Q H R FRPSULPHQWR GH RQGD GH XPD GDGD UDGLDomR p� Ȝ F�Q �D� H �E� VmR GXDV RQGDV FRP D PHVPD YHORFLGDGH� (P �D� R Ȝ p PDLRU H D Q PHQRU H HP �E� RFRUUH R FRQWUiULR � $ YHORFLGDGH GD UDGLDomR HOHWURPDJQpWLFD QR YiFXR p LJXDO j YHORFLGDGH GD OX] Fµ F ���� [ ��� P�V RRadiação Eletromagnética $ UDGLDomR HOHWURPDJQpWLFD p XPD IRUPD GH HQHUJLD UDGLDQWH WUDQVPLWLGD DWUDYpV GR HVSDoR D TXDO DSUHVHQWD FRPSRUWDPHQWR GXDO RQGD�SDUWtFXOD� � 'HFRPSRVLomR�GD�OX]�EUDQFD Experimento�Isaac�Newton�(1666) A luz branca, seja ela proveniente do Sol ou de uma lâmpada incandescente, quando muda de um meio de propagação para outro, sofre refração, isto é, sofre mudança na velocidade de propagação. Essa mudança faz com que a luz branca se decomponha em infinitos raios de luzes monocromáticas, conhecidas como as sete cores do arcoǦíris (YHUPHOKR� ODUDQMD� DPDUHOR� YHUGH� D]XO� DQLO H YLROHWD�. � Espectro:�é�o�conjunto�de�radiações�emitidas�por� uma�fonte�de�luz. ([SHULPHQWR�,VDDF�1HZWRQ������� � Espectro eletromagnético 1DWXUH]D RQGXODWyULD GD OX] Comprimentos de ondas diferentes correspondem a regiões diferentes do espectro eletromagnético. �� 'XDV YLV}HV GR VpFXOR ;9,,� ± ,VDDF 1HZWRQ �LQJOrV� DFUHGLWDYD TXH D OX] HUD FRPSRVWD GH SDUWtFXODV� ± &KULVWLDDQ +X\JHQV �KRODQGrV� DFUHGLWDYD TXH D OX] HUD XPD RQGD� Natureza�da�luz: �� Mecânica Quântica: dualidade ondaǦpartícula: Ǧ A luz se comporta tanto como onda e como partícula: 1) como onda: onda eletromagnética (interferência etc.). 2) como partícula: efeito fotoelétrico (quantum, fóton etc.). �� (QHUJLD TXDQWL]DGD H�IyWRQV $SHVDU GH R modelo ondulatório da luz (Física Clássica) H[SOLFDU PXLWRV DVSHFWRV GH VHX FRPSRUWDPHQWR� H[LVWHP YiULRV IHQ{PHQRV TXH HOH QmR SRGH H[SOLFDU� �� $ HPLVVmR GH OX] SRU REMHWRV TXHQWHV �radiação do corpo negro�� �� $ HPLVVmR GH HOpWURQV D SDUWLU GH XPD VXSHUItFLH PHWiOLFD RQGH D OX] LQFLGH �efeito fotoelétrico�� �� $ HPLVVmR GH OX] D SDUWLU GH iWRPRV GH JiV H[FLWDGRV HOHWURQLFDPHQWH �espectro de emissão�� �� RRadiação de um Corpo Negro &2532 1(*52 p XP REMHWR TXH D PHGLGD TXH WRUQD�VH PDLV TXHQWH EULOKD FRP PDLV LQWHQVLGDGH H D FRU HPLWLGD PXGD GR YHUPHOKR SDUD R EUDQFR� 2V FLHQWLVWDV GR VpFXOR ;,; WHQWDQGR H[SOLFDU R FRPSRUWDPHQWR GD UDGLDomR GH XP FRUSR QHJUR XVDUDP DV OHLV GD )tVLFD &OiVVLFD H FRQVLGHUDP D UDGLDomR HOHWURPDJQpWLFD FRPR RQGDV� 1R HQWDQWR DV GHGXo}HV QmR FRQFRUGDYDP FRP DV REVHUYDo}HV� 'H DFRUGR FRP D )tVLFD &OiVVLFD TXDOTXHU REMHWR TXHQWH SRGHULD HPLWLU UDGLDomR GH DOWD IUHTXrQFLD �UDLRV 89� UDLRV ; H UDLRV Ȗ� TXH SRGHULDP GHYDVWDU D 7HUUD H DWp R FRUSR KXPDQR SRGHULD EULOKDU QR HVFXUR ± &$7È6752)( 8/75$9,2/(7$ ,QWHQVLGDGH�GH�UDGLDomR�GH�XP� FRUSR�QHJUR�HP�IXQomR�GH�Ȝ �� ¬ PHGLGD TXH XP REMHWR WRUQD�VH PDLV TXHQWH� HOH EULOKD FRP PDLRU LQWHQVLGDGH H D FRU GD OX] TXH HPLWH PXGD GR YHUPHOKR SDUD R EUDQFR� O objeto quente é conhecido como corpo negro. Um�arame�submetido�ao�calor�incandesce. 6LJQLILFD�TXH�R�REMHWR�QmR�GHYH�IDYRUHFHU�XP�FRPSULPHQWR�GH� RQGD�HVSHFLDO� 5DGLDomR GH�&RUSR 1HJUR Catástrofe�do�ultravioleta�!!!!! 12�(;,67,5,$�(6&85,'2� �� (QHUJLD TXDQWL]DGD H�IyWRQV (P ����� $OEHUW (LQVWHLQ H[SOLFRX TXH XP FRUSR QHJUR WUDQVIHUH HQHUJLD �(� SDUD DV YL]LQKDQoDV HP XPD IUHTXrQFLD GDGD SRU� Q �(�h $VVLP� RV iWRPRV GH XP FRUSR IULR QmR WHP HQHUJLD VXILFLHQWH SDUD JHUDU UDGLDomR GH DOWD IUHTXrQFLD �UDLRV 89� H SHTXHQR FRPSULPHQWR GH RQGD� 3RUWDQWR H[SOLFD SRUTXH D &$7È6752)( 8/75$9,2/(7$ QmR RFRUUH� �� Q hE (QHUJLD TXDQWL]DGD H�IyWRQV7HRULD 4XkQWLFD 0D[ 3ODQFN ����������� UHVROYHX R SUREOHPD ID]HQGR XPD VXSRVLomR DXGDFLRVD� a energia só pode ser emitida (ou absorvida) pelos átomos em “pacotes” com valor mínimo, chamados quantum. $�UHODomR HQWUH�D�HQHUJLD H�D�IUHTXrQFLD p� ������4XDQWL]DomR�GD�HQHUJLD ������3UrPLR�1REHO�GH�)tVLFD RQGH h p�D�FRQVWDQWH GH�3ODQFN��������[������ -�V�� �� (QHUJLD TXDQWL]DGD H�IyWRQV Ao conhecer os trabalhos de Planck, Einstein teve a certeza de estar sendo quebrada uma fronteira da Física com algo totalmente novo e revolucionário. Efeito fotoelétrico é o da emissão de elétrons por metais expostos à um feixe de luz. Um dos estudos de Einstein foi a formulação teórica para o efeito fotoelétrico, que também trata da interação entre a radiação eletromagnética e a matéria. �� 2�HIHLWR IRWRHOpWULFR H�RV IyWRQV $�HQHUJLD (�GH�FDGD IyWRQ p�GHQRPLGD TXDQWXP� Q hE (QHUJLD TXDQWL]DGD H�IyWRQV Einstein chamou as partículas de energia radiante que atingem a superfície metálica de fóton. O�efeito�fotoelétrico�suporta� fortemente�a�visão�de�que�a�radiação� eletromagnética�consiste�de�fótons� que�se�comportam�como�partículas. �� 2 TXH YHP D VHU FpOXOD IRWRHOpWULFD" y 6mR GLVSRVLWLYRV TXH WrP D FDSDFLGDGH GH WUDQVIRUPDU HQHUJLD OXPLQRVD� VHMD HOD SURYHQLHQWH GR 6RO RX GH TXDOTXHU RXWUD IRQWH� HP HQHUJLD HOpWULFD� y (VVD FpOXOD SRGH IXQFLRQDU FRPR JHUDGRUD GH HQHUJLD HOpWULFD RX PHVPR FRPR VHQVRU FDSD] GH PHGLU D LQWHQVLGDGH OXPLQRVD� FRPR QRV FDVRV GDV SRUWDV GH VKRSSLQJV� y ([LVWHP YiULRV WLSRV GH FpOXODV IRWRHOpWULFDV� GHQWUH DV TXDLV SRGHPRV FLWDU DOJXPDV TXH WrP ODUJD XWLOL]DomR DWXDOPHQWH� FRPR� 6LOtFLR &ULVWDOLQR� 6LOtFLR $PRUIR� (VVDV FpOXODV VmR DSOLFDGDV WDQWR HP SDLQpLV VRODUHV FRPR WDPEpP HP PRQLWRUHV GH /&' H GH SODVPD� �� 2 PRGHOR $W{PLFR GH 1LHOV %RKU 5XWKHUIRUG VXS{V TXH RV HOpWURQV RUELWDYDP R Q~FOHR GD PHVPD IRUPD TXH RV SODQHWDV RUELWDP HP WRUQR GR VRO� (QWUHWDQWR� XPD SDUWtFXOD FDUUHJDGD PRYHQGR HP XPD WUDMHWyULD FLUFXODU GHYH SHUGHU HQHUJLD H FROLGLU FRP R Q~FOHR GR iWRPR� ,VVR VLJQLILFD TXH R iWRPR GHYH VHU LQVWiYHO GH DFRUGR FRP D WHRULD GH 5XWKHUIRUG� %RKU REVHUYRX R HVSHFWUR GH OLQKDV GH GHWHUPLQDGRV HOHPHQWRV H DGPLWLX TXH RV HOpWURQV HVWDYDP FRQILQDGRV em estados específicos de energia.(VVHV IRUDP GHQRPLQDGRV órbitas� Portanto, a energia era quantizada� (VSHFWURV GH�OLQKDV H�R�0RGHOR GH�%RKU �� (VSHFWUR GH�/LQKDV 2V WUDEDOKRV GH 3ODQFN H (LQVWHLQ DEULUDP FDPLQKR SDUD D FRPSUHHQVmR GH FRPR RV HOpWURQV VmR GLVWULEXtGRV QRV iWRPRV� (P ���� Niels Bohr SURS{V XPD H[SOLFDomR WHyULFD GRV espectros de linhas� RXWUR IHQ{PHQR TXH LQWULJDYD RV FLHQWLVWDV QR VpFXOR ;,;� (VSHFWURV GH�OLQKDV H�R�0RGHOR GH�%RKU �� EEspectros de linhas Atômicos 4XDQGR XPD FRUUHQWH HOpWULFD p SDVVDGD DWUDYpV GH XPD DPRVWUD GH JiV KLGURJrQLR j EDL[D SUHVVmR� D DPRVWUD HPLWH OX]� TXH DR DWUDYHVVDU R SULVPD DSUHVHQWD XP Q~PHUR GH OLQKDV HVSHFWUDLV IRUPDQGR XP HVSHFWUR GH HPLVVmR 1R VpFXOR ;;� RV SULPHLURV HVSHFWURVFRSLVWDV VH SHUJXQWDYDP SRUTXH XP iWRPR FRPR +� SRGHULD HPLWLU VRPHQWH FHUWDV IUHTrQFLDV HVSHFtILFDV GH UDGLDomR HOHWURPDJQpWLFD H QmR WRGDV DV IUHTrQFLDV SRVVtYHLV" 3DUD H[SOLFDU HVWH FRPSRUWDPHQWR IRL LQWURGX]LGR R FRQFHLWR GH TXDQWL]DomR GH HQHUJLD� LVWR p� XP HOpWURQ Vy SRGH H[LVWLU HP XPD VpULH GH QtYHLV GLVFUHWRV GH HQHUJLD� �� EEspectros de linhas Atômicos de Kirchhoff e Bunsen ~1860 &DGD OLQKD HVSHFWUDO YHP GH XPD WUDQVLomR HVSHFtILFD� GH XP HOHPHQWR HVSHFtILFR� ÈWRPRV�TXDQGR�H[FLWDGRV�HPLWHP�OX]� ([���)RJRV�GH�$UWLItFLRV� �� �� Espectro�continuo�da�luz�branca Espectro�de�emissão�do�H Espectro�de�emissão�do�Fe Como�um�átomo�podia�emitir�somente�frequências�particulares�de� radiações�eletromagnética�e�não�todas�as�frequências�possíveis???? EEspectros Atômicos 2 HVWXGR GRV HVSHFWURV DW{PLFRV GR JiV KLGURJrQLR SRU YiULRV SHVTXLVDGRUHV GHX RULJHP DV VpULHV GH %DOPHU �OLQKDV HVSHFWUDLV QR YLVtYHO�� /\PDQ �OLQKDV HVSHFWUDLV QR XOWUDYLROHWD� H 3DVFKHQ �OLQKDV HVSHFWUDLV QR LQIUDYHUPHOKR�� 2 UHVXOWDGR GR HVWXGR GHVWHV SHVTXLVDGRUHV GHX RULJHP D HTXDomR GH 5\GEHUJ� (P TXH 5 ����� [ ���� P�� H n1 H Q� VmR LQWHLURV H Q� � n2 Q� p R Q~PHUR TXkQWLFR SULQFLSDO GR HVWDGR ILQDO� TXH� SDUD D 6pULH GH %DOPHU� p IL[DGR FRPR �� H Q� p R HVWDGR DWp RQGH R HOpWURQ p H[FLWDGR. $ HTXDomR DFLPD p HPStULFD H IRL GHULYDGD GH LQ~PHUDV REVHUYDo}HV� (P ����� 1LHOV %RKU GHVHQYROYHX XPD H[SOLFDomR SDUD DV REVHUYDo}HV GH 5\GEHUJ H GHVHQYROYHX XP QRYR PRGHOR GD HVWUXWXUD DW{PLFD TXH VHULD R SUHFXUVRU GR PRGHOR TXkQWLFR DWXDO �� Modelo�Atômico�de�Bohr �� 2V HOpWURQV GHVFUHYHP yUELWDV FLUFXODUHV DR UHGRU GR Q~FOHR� �� &DGD XPD GHVVDV yUELWDV WHP HQHUJLD FRQVWDQWH �yUELWD HVWDFLRQiULD�� 2V HOpWURQV TXH HVWmR VLWXDGRV HP yUELWDV PDLV DIDVWDGDV GR Q~FOHR DSUHVHQWDUmR PDLRU TXDQWLGDGH GH HQHUJLD� �� 4XDQGR XP HOpWURQ DEVRUYH FHUWD TXDQWLGDGH GH HQHUJLD� VDOWD SDUD XPD yUELWD PDLV HQHUJpWLFD� 4XDQGR HOH UHWRUQD j VXD yUELWD RULJLQDO� OLEHUD D PHVPD TXDQWLGDGH GH HQHUJLD� QD IRUPD GH RQGD HOHWURPDJQpWLFD �OX]�� (VVDV yUELWDV IRUDP GHQRPLQDGDV QtYHLV GH HQHUJLD� +RMH VmR FRQKHFLGRV VHWH QtYHLV GH HQHUJLD RX FDPDGDV� GHQRPLQDGDV .� /� 0� 1� 2� 3 H 4� �� e e e e e e e e e e e e ee ee e e e e e e e e e e e e e Energia +++ +++ + + +++ + ++ 55/ Pt fmêuspot qpefn tbmubs ef vn oîwfm qbsb pvusp nbjt fyufsop- eftef rvf bctpswbn vnb rvboujebef cfn efgjojeb ef fofshjb )rvbouvn ef fofshjb*/ �� e e e e e e e* e e e e e ee ee e e e e e e e e e e e e e +++ +++ + + +++ + ++ 66/ Bp wpmubs bp oîwfm nbjt joufsop- p fmêuspo fnjuf vn rvbouvn ef fofshjb- ob gpsnb ef mv{ ef dps cfn efgjojeb pv pvusb sbejbèäp fmfuspnbhoêujdb )gôupo*/ �� e e e e e e e e e e e ee ee e e e e e e e e e e e e ee +++ +++ + + +++ + ++ 66/ Bp wpmubs bp oîwfm nbjt joufsop- p fmêuspo fnjuf vn rvbouvn ef fofshjb- ob gpsnb ef mv{ ef dps cfn efgjojeb pv pvusb sbejbèäp fmfuspnbhoêujdb )gôupo*/ Fóton �� 77/ Dbeb ôscjub ê efopnjobeb ef ftubep ftubdjpoâsjp f qpef tfs eftjhobeb qps mfusbt L- M- N- O- P- Q- R/ Bt dbnbebt qpefn bqsftfoubs; 8/ Dbeb oîwfm ef fofshjb ê dbsbdufsj{bep qps vn oûnfsp rvãoujdp )o*- rvf qpef bttvnjs wbmpsft joufjspt; 2- 3- 4- fud/ &DPDGD 1tYHO��Q� 6XEQtYHO 3ROXomR�GH�(OpWURQV GR�1tYHO� ��Q�� . � 1s2 ��� [����� �� / � 2s2 2p6 ���������������� 0 � 3s2 3p6 3d10 �������������������� 1 � 4s2 4p6 4d10 4f14 �������������������������� 2 � 5s2 5p6 5d10 5f14 �� 3 � 6s2 6p6 6d10 �� 4 � 7s2 7p6 ��RX�� �� e e e e e e e e e e e ee ee e e e e e e e e e e e e e +++ +++ + + +++ + ++ �� �� MModelo Atômico de Bohr D� 2 UDLR GDV TXDWUR SULPHLUDV yUELWDV SDUD XP iWRPR GH KLGURJrQLR� E� 9DORUHV UHODWLYRV SDUD DV HQHUJLDV DVVRFLDGDV FRP RV YiULRV QtYHLV GH HQHUJLD HP XP iWRPR GH KLGURJrQLR 0RGHOR SODQHWiULR PRGLILFDGR 0RGHOR H[SOLFDYD D HTXDomR GH 5\GEHUJ H FRQFRUGDYD FRP RV YDORUHV H[SHULPHQWDLV REWLGRV (OpWURQV GLVWULEXtGRV HP yUELWDV FLUFXODUHV� HVSHFtILFDV H HVWiYHLV FRP UDLR TXDQWL]DGR FRUUHVSRQGHQGR D XP QtYHO GH HQHUJLD Modelo só é válido para o átomo de hidrogênio e não se aplica aos demais elementos �� MModelo Quântico Atual 3ULPHLUDV�,GpLDV����� (P ����� /RXLV GH %URJOLH� EDVHDGR QD LGpLD GH (LQVWHLQ GH TXH OX] SRGHULD H[LELU SURSULHGDGHV GXDLV GH RQGD H SDUWtFXOD LPDJLQRX TXH RV HOpWURQV WDPEpP SRGHULDP H[LELU SURSULHGDGHV GH RQGDV HP GHWHUPLQDGDV FLUFXQVWkQFLDV H SRUWDQWR GHYHULDP WHU XP GHWHUPLQDGR FRPSULPHQWR GH RQGD� Ȝ = h/m.ғ em que h = constante de Planck (P ����� &OLQWRQ 'DYLVVRQ H /HVWHU *HUPHU GHPRQVWUDUDP TXH RV HOpWURQV VRIUHP GLIUDomR HP XP FULVWDO GH QtTXHO� VHQGR HVWD XPD FDUDFWHUtVWLFD GH RQGDV� (VWHV SHVTXLVDGRUHV WDPEpP GHPRQVWUDUDP TXH RV YDORUHV H[SHULPHQWDLV GH FRPSULPHQWR GH RQGD GH HOpWURQV FRP GHWHUPLQDGD HQHUJLD VmR FRQFRUGDQWHV FRP RV REWLGRV SHOD HTXDomR GH %URJOLH �� MModelo Quântico Atual ([HPSOR�GD�(TXDomR�GH�/RXLV�GH�%URJOLH �� &DOFXOH�HP�PHWURV�R�FRPSULPHQWR�GH�RQGD�GH�XP�HOpWURQ�FRP� YHORFLGDGH�GH������[���� P�V�H�FDOFXOH�R�FRPSULPHQWR�GH�RQGD�GH�XPD� EROD�GH�EHLVHERO�FRP�PDVVD�GH�����JUDPDV�H�YHORFLGDGH������P�V�� 'DGRV��h �������[������ NJ�P��V��PDVVD�GR�HOpWURQ� ������[������ NJ &RPSULPHQWR�GH�RQGD�GR�HOpWURQ� &RPSULPHQWR�GH�RQGD�GD�EROD�GH�EHLVHERO� 2V�UHVXOWDGRV�GR� H[HPSOR�GHPRQVWUDP� TXH�Vy�REMHWRV�PXLWR� SHTXHQRV�FRPR� HOpWURQV�FRPSRUWDP� VH�FRPR�RQGDV�H�WHP� XP�Ȝ PHQVXUiYHO� �� MModelo Quântico Atual ,'e,$6 %È6,&$6 '$ 0(&Æ1,&$ 48Æ17,&$ ÈWRPRV H PROpFXODV SRGHP H[LVWLU VRPHQWH HP FHUWRV HVWDGRV GH HQHUJLD� FRP XPD HQHUJLD GHILQLGD HP FDGD HVWDGR� 4XDQGR iWRPRV RX PROpFXODV HPLWHP RX DEVRUYHP UDGLDomR �OX]�� PXGDP VXDV HQHUJLDV� $ PXGDQoD GH HQHUJLD HVWi UHODFLRQDGD D IUHTXrQFLD RX FRPSULPHQWR GH RQGD GD OX] HPLWLGD RX DEVRUYLGD �ǻ( KȜ RX ǻ( hF�Ȝ �� 2V HVWDGRV GH HQHUJLD SHUPLWLGRV GH iWRPRV H PROpFXODV SRGHP VHU GHVFULWRV SRU XP FRQMXQWR GH Q~PHURV FKDPDGRV GH 1Ò0(526 48Æ17,&26 �� MModelo Quântico Atual 35,1&Ë3,2�'(�,1&(57(=$�'(�+(,6(1%(5* 1mR�VH�SRGH�GHWHUPLQDU�FRP�SUHFLVmR�RV� FDPLQKRV��SRVLomR�H�PRPHQWR��TXH�RV�HOpWURQV� DGRWDP�TXDQGR�HOHV�VH�PRYHP�DR�UHGRU�GR� Q~FOHR�GR�iWRPR &RPR�R�HOpWURQ�VH�PRYH�PXLWR�UDSLGDPHQWH�Vy� SRGH�VHU�GHWHFWDGR�SRU�UDGLDomR��IyWRQV��GH� PHVPD�HQHUJLD�TXH�SHUWXUEDP�VHX�PRYLPHQWR�� 8VD�VH�XPD�DSUR[LPDomR�HVWDWtVWLFD�SDUD� GHWHUPLQDU�D�SUREDELOLGDGH�GH�HQFRQWUDU�XP� HOpWURQ�HP�XPD�UHJLmR�HVSHFtILFD�QR�HVSDoR �� Princípio da incerteza de Heisenberg: Orbital é a região onde é mais provável encontrar um elétron. No modelo atômico de Bohr, o elétron descreve uma órbita. 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