Energy levels in Helium ion

[stevemangles]

Why is E1 for He+ 4 times greater than the value for E1 for Hydrgoen

 

This info may help

 

I am following the conditions that:

The radius of the ion is inversely proportional to the charge in the nucleus

 

The energy of a particular level is directly proportional to the charge in the nucleus

 

The energy of a particular level is inversely proportional to the radius

 

I also have found two equations

 

En = [1/(n^2)] * E1

&

r = (n^2 * h^2)/(4pi^2 * m * k * q^2e)

 

this is where r = radius, n = energy level, h = planks constant, m = mass of electrons, k = 9 x 10 ^9 and qe = charge of electron

[swansont]

The energy of a level depends on the charge and the radius, which is itself dependent on the charge.

 

If you solve the equations (electrostatic force=centripetal force, angular momentum quantized) you find that the energy depends on the square of the charge of the nucleus. Twice the charge means four times the energy.

 

Here is a derivation of the Bohr model energy equation.

[stevemangles]

thanks...this helps a bit...i hope anyway