How do you modify the Bohr model equation for Li++?

AI Thread Summary
To modify the Bohr model equation for Li++, the formula used for hydrogen must be adjusted due to the different nuclear charge. The radius of the electron's orbit in Li++ can be calculated using the modified equation r(n) = (0.0529 nm) x (n^2) / Z, where Z is the atomic number. For Li++, Z equals 3, so the radius for n=4 becomes r(4) = (0.0529 nm) x (16/3). This adjustment accounts for the increased nuclear charge affecting the electron's orbit. Understanding these modifications is crucial for accurate calculations in multi-electron systems.
Vitani11
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Homework Statement


Consider an electron in the n = 4 level of Li ++. According to the Bohr model, what is the radius of the orbit of the electron?

Homework Equations


r = .0529 nm

r(n) = (.0529 nm) x (n2)

The Attempt at a Solution


I thought this was pretty obvious? We want to know the radius of an electron in the n=4 level, using the equation does not give the right solution. Why? Why is this not working?
 
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The formula you are using is for the hydrogen atom. How do you modify this formula to handle Li++?
 
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TSny said:
The formula you are using is for the hydrogen atom. How do you modify this formula to handle Li++?

Multiply equation by 3?
 
TSny said:
The formula you are using is for the hydrogen atom. How do you modify this formula to handle Li++?
Got it, thanks!
 

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