How would you compare and contrast the Bohr Model and the quantum mechanical model of the atom?
Bohr's model assumes quantized orbits in which the electrons can move without the emission of radiant energy. The electron cloud model has a similar feature of quantized orbits.
The Bohr's atomic model although assumes that the energy of the electron depends only on the principle quantum number (n) of the orbit. This assumption is flawed and was further developed by Sommerfeld who introduced an additional quantum number called the Azimuthal quantum number (l).
The quantum mechanical model uses four basic quantum numbers to specify an electron.
Though the very basic idea of quantized (discrete) states/ energy levels is the same in the Bohr's model and the Quantum mechanical model, the latter provides with a much more satisfying theory than the former.
More differences between the two exist, the most important being that the path of the electron is well defined in the Bohr's model while the Quantum mechanical model totally discards the idea of finding the electron trajectory and relies solely in the probability of finding an electron in a given region of space
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The Bohr Model is a simplified representation of the atom, where electrons orbit the nucleus in fixed, quantized energy levels. The quantum mechanical model describes electrons as existing in orbitals, which are regions of probability where electrons are likely to be found. Unlike the Bohr Model, the quantum mechanical model does not specify exact paths or orbits for electrons, but rather describes their behavior through wave functions and probability distributions.
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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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