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Chem 1061 1st Edition Lecture 19 Outline of Last Lecture 1 Calculating Frequency 2 Quantum Theory 3 Rydberg Equation 4 Atomic Model 5 Bohr s Model 6 Bohr s Model of the Hydrogen Atom Outline of Current Lecture 7 Energy Levels in H atom 8 Ionization Energy 9 Conversions 10 Energy Levels in H Atom 11 Absorbance 12 Wave Particle Duality Current Lecture Energy Levels in H atoms E n 2 18 x 10 18 z 2 n 2 z number of protons E n quantum number for stationary state Only for one electron species Energy Difference between Two Levels E E final E initial E 2 18 x 10 18 J z 2 n final 2 z 2 n initial 2 N final N initial Atom EMITS energy E is NEGATIVE N final n initial Atom ABSORBS energy E is POSITIVE These notes represent a detailed interpretation of the professor s lecture GradeBuddy is best used as a supplement to your own notes not as a substitute Example Calculate E for transition movement of e between the states from n 3 to n 2 in a H atom 2 18x10 18J 1 2 2 2 1 2 3 2 E 2 18 x 10 18J 1 4 1 9 3 0278 x 10 19 J atom E Atom E photon Ionization Energy Ionization remove e completely H g H g eTransition from e in n 1 to n infinity E E final E initial H atom E 2 18 x 10 18 J 1 2 infinity 2 1 2 1 2 E 2 18 x 10 18 J 0 1 E 2 18 x 10 18 Convert J atom KJ mol 2 18 x 10 18 1atom x 6 022 x 10 23 atoms 1mol x 1 KJ 1000J 1 31 x 10 3 KJ mol Energy Levels in H atom E n 2 18 x 10 18 J z 2 n 2 E 1 2 18 x 10 18 E 2 5 4 x 10 19 E 3 2 4 x 10 19 E 10 2 18 x 10 20 Absorbance pg 300 301 The energy absorbed Energy absorbed is proportional to concentration of molecules A 1 c 1 A 2 C 2 A absorbance C concentration Wave Particle Duality of Matter and energy E hc wavelength Relates energy of a photon E mc 2 Mass energy equivalence Mc 2 hc wavelength Rearrange to solve for wavelength Wavelength h mu c u because it s the speed of a particle now mass needs to be in kg


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U of M CHEM 1061 - Energy Levels and Wave Particle Duality

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