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BOAS

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Hello

The orbital quantum number for the electron in the hydrogen atom is l = 4. What

is the smallest possible value (in eV) for the total energy of this electron? (Use the

quantum mechanical model of the hydrogen atom.)

I know that the angular momentum of the electron is given by;

[itex]L = \sqrt{l(l + 1)}\frac{h}{2 \pi}[/itex]

[itex]L = \sqrt{20} \frac{h}{2 \pi}[/itex]

L = 4.64x10

My textbook doesn't really discuss the QM picture of the atom, so I don't know how to relate this to the energy of the electron.

I know how to do it for the Bohr model, but clearly that's no good.

I appreciate any help you can give,

thanks!

<EDIT>

Oops.

" In fact, calculating the energy from the quantum mechanical wave function gives the expression Bohr derived for the energy:"

This thread can be ignored/deleted. sorry.

## Homework Statement

The orbital quantum number for the electron in the hydrogen atom is l = 4. What

is the smallest possible value (in eV) for the total energy of this electron? (Use the

quantum mechanical model of the hydrogen atom.)

## Homework Equations

## The Attempt at a Solution

I know that the angular momentum of the electron is given by;

[itex]L = \sqrt{l(l + 1)}\frac{h}{2 \pi}[/itex]

[itex]L = \sqrt{20} \frac{h}{2 \pi}[/itex]

L = 4.64x10

^{-33}Kgm^{2}s^{-1}My textbook doesn't really discuss the QM picture of the atom, so I don't know how to relate this to the energy of the electron.

I know how to do it for the Bohr model, but clearly that's no good.

I appreciate any help you can give,

thanks!

<EDIT>

Oops.

" In fact, calculating the energy from the quantum mechanical wave function gives the expression Bohr derived for the energy:"

This thread can be ignored/deleted. sorry.

Last edited: