Energy of an electron in hydrogen

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SUMMARY

The energy of an electron in the 2s orbital of a hydrogen atom is calculated using the formula En = -RZ²/n², where R is the Rydberg constant, Z is the atomic number, and n is the principal quantum number. For hydrogen, Z equals 1 and n equals 2, leading to an energy value of En = -13.6 eV. If the calculated energy does not match expectations, the issue may lie in the application of the formula or the values used in the calculation.

PREREQUISITES
  • Understanding of quantum mechanics principles
  • Familiarity with the Rydberg constant
  • Knowledge of atomic structure and orbitals
  • Basic mathematical skills for applying formulas
NEXT STEPS
  • Research the Rydberg formula and its applications in atomic physics
  • Study the concept of quantum numbers and their significance in electron configurations
  • Explore the differences between various atomic orbitals and their energy levels
  • Learn about the implications of electron energy levels on chemical behavior
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Students of physics, educators teaching atomic theory, and anyone interested in the quantum mechanics of hydrogen atoms.

mahrap
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What is the energy of an electron in the 2s orbital of a hydrogen atom?
I thought En = -RZ^2 / n^2

Why am i not getting the right answer with

Z = 1
n = 2
and R just the value of the constant
 
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[tex]E = -13.6 \frac{z^2}{n^2}eV[/tex]
 
mahrap said:
What is the energy of an electron in the 2s orbital of a hydrogen atom?



I thought En = -RZ^2 / n^2

Why am i not getting the right answer with

Z = 1
n = 2
and R just the value of the constant
If you don't tell us what answer you got, it is difficult to say why it is wrong.
 

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