Using Table 5.2, write down the mathematical expression for the 2 p x wave function for an electronically excited H atom. Estimate the probability of finding the 2 p x electron if you look in a cubical box of volume of 0. 8 ( pm ) 3 centered at a distance of 0. 5 00 × 1 0 − 1 0 m in the θ = π / 2 , ϕ = 0 direction. Does this probability change as you change ϕ ? At what ϕ angles is the probability of finding the electron smallest and at what ϕ angles is the probability the largest? (Note that ϕ = 2 π is the same location as ϕ = 0 , so don’t double count.)
Using Table 5.2, write down the mathematical expression for the 2 p x wave function for an electronically excited H atom. Estimate the probability of finding the 2 p x electron if you look in a cubical box of volume of 0. 8 ( pm ) 3 centered at a distance of 0. 5 00 × 1 0 − 1 0 m in the θ = π / 2 , ϕ = 0 direction. Does this probability change as you change ϕ ? At what ϕ angles is the probability of finding the electron smallest and at what ϕ angles is the probability the largest? (Note that ϕ = 2 π is the same location as ϕ = 0 , so don’t double count.)
Using Table 5.2, write down the mathematical expression for the
2
p
x
wave function for an electronically excited H atom. Estimate the probability of finding the
2
p
x
electron if you look in a cubical box of volume of
0.
8
(
pm
)
3
centered at a distance of
0.
5
00
×
1
0
−
1
0
m
in the
θ
=
π
/
2
,
ϕ
=
0
direction. Does this probability change as you change
ϕ
? At what
ϕ
angles is the probability of finding the electron smallest and at what
ϕ
angles is the probability the largest? (Note that
ϕ
=
2
π
is the same location as
ϕ
=
0
, so don’t double count.)
Calculate the frequiency of the light emitted by hydrogen atoms when they undergo transitions from n=5 to n=3? In what region of the electromagnetic spectrum does the radiation occur?
How much energy is needed to move an electron in a hydrogen atom from the ground state (n=1) to n=3? Give the answer (a) in joules and (b) in eV.
What is the wavelength in nm of a photon of light emitted from a hydrogen atom if an electron is transferred from n=4 to n=2?
( Your answer should have 4 sig figs)
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The Bohr Model of the atom and Atomic Emission Spectra: Atomic Structure tutorial | Crash Chemistry; Author: Crash Chemistry Academy;https://www.youtube.com/watch?v=apuWi_Fbtys;License: Standard YouTube License, CC-BY