Spectrum & energy level of neutral hydrogen

AI Thread Summary
The energy levels of the doubly ionized Lithium atom (Li++) are related to those of neutral Hydrogen due to both having a single electron, but the energy levels are affected by the nuclear charge, with Li++ having a charge of +3 compared to Hydrogen's +1. The formula E = 13.6 x Z^2/n^2 can be used to calculate these energy levels, indicating that Li++ will have more negative energy values. The radius of the Li++ ion in the ground state is smaller than that of neutral Hydrogen because the stronger nuclear charge results in a tighter hold on the electron. The spectrum of Li++ will resemble that of neutral Hydrogen, as both involve transitions of a single electron. Understanding these relationships highlights the influence of nuclear charge on atomic structure and behavior.
Noirchat
Messages
15
Reaction score
0
Would like to see if I've understood this question somewhat. :-)


Homework Statement



A doubly ionised Lithium atom (Li^++) has two of its normal complement of electrons removed. The energy levels of the remaining single electron ion are closely related to those of the neutral Hydrogen atom - since the nuclear charge of Lithium is +3 compared to +1 for Hydrogen. Assuming the Bohr model for the atoms:
(a) How are the energy levels of Li^++ ion related to neutral Hydrogen? Estimate values if possible.
(b) How is the radius of the Li^++ ion in the ground state related to neutral hydrogen in the ground satte? Estimate values if possible.
(c) How would the spectrum of the Li^++ ion be related to neutral Hydrogen.

Homework Equations




None given.

But i think E = 13.6 x Z^2/n^2 is used in part a ?

The Attempt at a Solution




(a) I think that the energy levels would be the same since they both have one electron in their shell.

(b) The radius of the Li^++ iom would be smaller than that of the neutral hydrogen as the protons and neutrons in the nucleus of the Li^++ would have stronger neutostatic forces and thus will be held more tightly.


(c) The spectrum would be similar as they both consist of one electron in their shell and thus only one electron would be ionised.
 
Physics news on Phys.org
No one? :-(
 
Thread 'Collision of a bullet on a rod-string system: query'
In this question, I have a question. I am NOT trying to solve it, but it is just a conceptual question. Consider the point on the rod, which connects the string and the rod. My question: just before and after the collision, is ANGULAR momentum CONSERVED about this point? Lets call the point which connects the string and rod as P. Why am I asking this? : it is clear from the scenario that the point of concern, which connects the string and the rod, moves in a circular path due to the string...
Thread 'A cylinder connected to a hanged mass'
Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
Back
Top