What is the Radius of Bohr Atom Orbitals?

In summary, the conversation discusses finding the radius of the first five orbitals as well as the radius for n=100 in a Bohr hydrogen atom, using the equation Rn=a0 x n^2. It is mentioned that electron orbitals are quantized, meaning they can only exist in specific levels or values.
  • #1
aisha1929
1
0

Homework Statement



Given the numerical value of a0= 5.3X10^11m in the Bohr hydrogen atom, find the radius of the first five orbitals as well as the radius for n=100.

Homework Equations



Rn=a0 x n^2

The Attempt at a Solution


Could it be as simple as typing in for the third orbital 3 as n? Meaning the radius for the third orbital will be Rn= 5.3X10^11 x 3^2 = 4.77x10^12m ?
 
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  • #2
welcome to PF, aisha1929

and yes, it really is that simple :)

one of the things about quantum physics and electron orbitals is that they are "quantized" meaning that there are specific values for which things can actually have. The electron can only be in one of those orbitals, it can't be orbiting the nucleus in, like, orbital shell 2.83 or shell 4.19, etc.

things are stuck in discrete levels or directions or shells, etc.
 

What is the radius of a Bohr atom orbital?

The radius of a Bohr atom orbital is the distance between the nucleus and the outermost edge of the orbital where there is a 90% probability of finding an electron.

How is the radius of a Bohr atom orbital calculated?

The radius of a Bohr atom orbital is calculated using the Bohr radius formula, which takes into account the atomic number, the mass of the electron, and the Planck constant. It can also be calculated using the Rydberg formula, which takes into account the energy level of the orbital.

What is the significance of the radius of a Bohr atom orbital?

The radius of a Bohr atom orbital is significant because it helps us understand the behavior and properties of atoms. It also plays a role in determining the size and structure of molecules and their chemical properties.

How does the radius of a Bohr atom orbital change with different elements?

The radius of a Bohr atom orbital varies with different elements because it depends on the atomic number and the number of electrons in each energy level. As the atomic number increases, the radius of the outermost orbital also increases, resulting in larger atoms.

Can the radius of a Bohr atom orbital be measured experimentally?

Yes, the radius of a Bohr atom orbital can be measured experimentally using various techniques such as X-ray diffraction or spectroscopy. These methods allow scientists to determine the distance between the nucleus and the outermost electron shell.

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