Energy transition (bohrs model)

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SUMMARY

The discussion centers on calculating the lowest energy transition from the n=2 to n=1 state in Hydrogen using the Bohr model. The energy levels are defined by the equation En = -13.6 eV * Z²/n², leading to E2 = -3.4 eV and E1 = -13.6 eV for Hydrogen (Z=1). The calculated energy difference, ΔE, is 10.2 eV, confirming the transition energy. It is established that the constant in the Bohr model remains unchanged across elements, provided they have a single electron.

PREREQUISITES
  • Understanding of the Bohr model of the atom
  • Familiarity with energy level calculations in quantum mechanics
  • Knowledge of the concept of electron transitions
  • Basic proficiency in algebra for manipulating equations
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  • Study the implications of the Bohr model on multi-electron atoms
  • Learn about quantum mechanical models beyond the Bohr model
  • Explore the concept of energy levels in different elements
  • Investigate the historical context and limitations of the Bohr model
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Students of physics, educators teaching atomic theory, and anyone interested in quantum mechanics and atomic energy transitions.

mss90
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Homework Statement


By using the Bohr model of the atom:
whats the lowest energy transition from the n=2 to n=1
state in Hydrogen (Z=1)

Homework Equations


En = -13.6eV*Z2/n2

The Attempt at a Solution


En = -13.6eV*Z2/n2
n=2 -> n=1 for hydrogen (Z=1)
E2= -13.6eV*12/22 =-3.4 eV
E1= -13.6eV*12/12 = -13.6 eV
deltaE = x1 – x2 = -3.4 + 13.5 = 10.2 eV

So 10.2 eV is the lowest energy transition from n2 to n1 right?

Does the constant change with elements?
 
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The question is strangely phrased, as there is no "lowest energy" for the transition, only the transition energy. Your calculation appers correct, although you should put in some effort when writing equations: 22 instead of 22 makes it unreadable.

mss90 said:
Does the constant change with elements?
Within the limits of the Bohr model (only one electron, fixed nucleus, classical orbits), the constant is always the same.
 

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