PHYSICS F/SCIEN.+ENGRS. W/SAPLING >IC<
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ISBN: 9781319336127
Author: Tipler
Publisher: MAC HIGHER
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Students have asked these similar questions
Angular momentum and Spin. An electron in an H-atom has orbital angular momentum magnitude
and z-component given by
L² = 1(1+1)ħ²,
Lz = m₁h,
1 = 0,1,2,..., n 1
-
m₁ = 0, ±1, ±2, ..., ±l
3
S² = s(s+1) h² = =h²₁
4
Consider an excited electron (n > 1) on an H-atom.
The total angular momentum ] = L + Š, whose magnitude and z-component follow a similar
dependence to some quantum numbers j and m; as
J² = j(j + 1)ħ², Jz = mjħ
1
S₂ = m₂h = ± = h
Where j and m; are quantum numbers which assume values that jumps in steps of one such
that j is non-negative and −j ≤ m¡ ≤ j. For a given quantum number 1, what are the (two)
possible values for j?
Clue: we can use the vector sum relation of angular momenta, then consider the z-component only.
An electron with a speed of 5.00 × 106 m/s collides with an atom. The collision excites the atom from its ground state (0 eV) to a state with an energy of 3.80 eV. What is the speed of the electron after the collision?
The energy levels of hydrogen atom (including fine
structure term ) takes the following form
a?
1+
13.6ev
п
3
E
j+1/2
4
n°
Write down the energy levels for the state n=3
Chapter 36 Solutions
PHYSICS F/SCIEN.+ENGRS. W/SAPLING >IC<
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