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The Energies of Stationary States

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1 The Energies of Stationary States
( Z2 n2 ) The energy of a stationary state is given by: En = -2.18  10-18 (Joules) “Z” is charge on nucleus. “n” is stationary state number. For Hydrogen, n = 4 and Z = 1 ( 12 42 ) E4 = -2.18  10-18 =  J For Hydrogen, n = 2 and Z = 1 ( 12 22 ) E2 = -2.18  10-18 =  J

2 The Energies of Stationary States
E =  J Greater P.E. n=3 E =  J Lesser P.E. n=2 Energy Changes n=1 Ee- = Efinal Einitial Ee- = (-5.45  10-19) - (-1.36  10-19) Ee- =  J Energy change is negative since the atom LOST energy as light!

3 The Energies of Stationary States
Energy Changes Ee- = Efinal Einitial Ee- = (-5.45  10-19) - (-1.36  10-19) Ee- =  J Energy change is negative since the atom LOST energy as light! Ee- =  J = - Elight = h  = Elight/h =  /  10-34 = 1014 Hz  = c /  = 3.00  108 / 1014 = nm (green line)


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