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Калькулятор: Bohr Model.
Используйте Калькулятор: Bohr Model, чтобы получить понятный и практичный результат по введённым данным.
Этот калькулятор пока переведён не полностью — часть текста отображается на английском.
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Cite this calculator
Canonical URL: https://mathify.one/ru/physics/bohr-model
Cite as: Mathify. (n.d.). Калькулятор: Bohr Model. https://mathify.one/ru/physics/bohr-model
Use Cases
Physics homework and exam prep
Quickly verify Bohr model calculations for hydrogen-like atoms, helping students check their work and understand energy level trends.
Example: Calculate the energy and radius for n=2, Z=1 (hydrogen) to see the first excited state.
Research and teaching demonstrations
Illustrate how energy levels and orbital radii change with nuclear charge, useful for lectures or lab demonstrations.
Example: Compare n=1, Z=2 (He+) vs. n=1, Z=1 (H) to show increased binding energy.
Frequently Asked Questions
- What is the Bohr model calculator used for?
- This calculator computes the energy and orbital radius of an electron in a hydrogen-like atom (one electron) using the Bohr model. You input the principal quantum number (n) and nuclear charge (Z), and it outputs the energy level and radius.
- How do I use the principal quantum number and nuclear charge?
- The principal quantum number (n) is a positive integer (1, 2, 3, ...) that specifies the electron shell. The nuclear charge (Z) is the number of protons in the nucleus. For hydrogen, Z=1; for helium ion He+, Z=2, etc.
- What are the units for energy and radius in the Bohr model?
- The calculator typically outputs energy in electron volts (eV) and radius in angstroms (Å) or picometers (pm). The Bohr radius for hydrogen (n=1, Z=1) is about 0.529 Å, and the ground state energy is -13.6 eV.
Tips & Common Mistakes
Tips
- Ensure the principal quantum number is a positive integer (1, 2, 3, ...). Non-integer or zero values will give invalid results.
- For hydrogen-like ions, the nuclear charge Z is the atomic number. For neutral atoms, Z equals the number of electrons, but the Bohr model applies only to one-electron species.
- Remember that energy levels are negative, indicating bound states. More negative energy means a more tightly bound electron.
- Use the calculator to explore how increasing Z decreases the orbital radius and makes energy levels more negative.
Common Mistakes to Avoid
- Entering Z=0 or negative values for nuclear charge. Z must be a positive integer (at least 1).
- Using the principal quantum number as a decimal or zero. It must be a positive integer.
- Confusing the Bohr model with multi-electron atoms. This calculator is only for hydrogen-like atoms with one electron.
Last updated: August 13, 2026