Lecture 23 - Quantum Mechanical Model of Hydrogen

Lecture 23 - Quantum Mechanical Model of Hydrogen - Oct 24,...

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Lec-22: Quantum mechanical Model of Hydrogen Roy A. Lacey, Stony Brook University; Che 131, Fall 2011 1 Atomic Spectra ` An energy level is an allowed state that an electron can occupy in an atom. ` Movements of Movements of electrons between energy levels are called electron transitions. ` The lowest energy level available to an electron in an atom is its ground state . ` An excited state of an electron in an atom is any energy state above Roy A. Lacey, Stony Brook University; Che 131, Fall 2011 2 the ground state. Oct 24, 2011
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Atomic Spectra The Bohr Model for Electrons in the Hydrogen Atom ` The electron in a hydrogen atom occupies a discrete energy level and may exist only in the available energy levels. ` The electron may move between energy levels by either absorbing or emitting specific amounts of energy. ` Each energy level is designated by a specific value for n, called the principal quantum number (n). ' E = 2 S 2 me 4 1 1 § ¨ · E = h 2 n 1 2 - n 2 2 © ¹ ¸ Roy A. Lacey, Stony Brook University; Che 131, Fall 2011 3 Atomic Spectra The energy absorbed and emitted by atoms is quantized Eh Q ' Here Roy A. Lacey, Stony Brook University; Che 131, Fall 2011 4
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H Spectra 1 The energy absorbed and emitted by atoms is quantized Ground State 18 18 1 2178 10 f 1 E hh c EJ J Q O ³³ ' { §· ± ² 2 18 2.178 10 2.178 10 for n n 1 0 forn n ³ ³ u ³ u ¨¸ ©¹ uf n f ± ² 2 18 2.178 10 0 for n n 11 n ³ ³ u f ionization ± ² 22 2.178 10 nn fi ' ³ u ³ 1 n Roy A. Lacey, Stony Brook University; Che 131, Fall 2011 5 Bohr Model ` The Bohr model applies only to one-electron atoms. Problems ` The Bohr model doesn’t account for the observed spectra of multi-electron elements or ions.
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Lecture 23 - Quantum Mechanical Model of Hydrogen - Oct 24,...

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