The wave function of an electron in the lowest (that is, ground) state of the hydrogen atom is ψ ( r ) = ( 1 π a 0 3 ) 1 / 2 exp ( r a 0 ) a o = 0.529 × 10 − 10 m (a) What is the probability of finding the electron inside a sphere of volume 1.0 pm 2 , centered at the nucleus ( 1 pm = 1 0 − 12 m ) ? (b) What is the probability of finding the electron in a volume of 1.0 pm 2 at a distance of 52.9 pm from the nucleus, in a fixed but arbitrary direction? (c) What is the probability of finding the electron in a spherical shell of 1.0 pm in thickness, at a distance of 52.9 pm from the nucleus?
The wave function of an electron in the lowest (that is, ground) state of the hydrogen atom is ψ ( r ) = ( 1 π a 0 3 ) 1 / 2 exp ( r a 0 ) a o = 0.529 × 10 − 10 m (a) What is the probability of finding the electron inside a sphere of volume 1.0 pm 2 , centered at the nucleus ( 1 pm = 1 0 − 12 m ) ? (b) What is the probability of finding the electron in a volume of 1.0 pm 2 at a distance of 52.9 pm from the nucleus, in a fixed but arbitrary direction? (c) What is the probability of finding the electron in a spherical shell of 1.0 pm in thickness, at a distance of 52.9 pm from the nucleus?
Solution Summary: The author explains the probability to find electrons inside a sphere of volume 1pm3 centered at nucleus.
The wave function of an electron in the lowest (that is, ground) state of the hydrogen atom is
ψ
(
r
)
=
(
1
π
a
0
3
)
1
/
2
exp
(
r
a
0
)
a
o
=
0.529
×
10
−
10
m
(a) What is the probability of finding the electron inside a sphere of volume
1.0
pm
2
, centered at the nucleus
(
1 pm
=
1
0
−
12
m
)
?
(b) What is the probability of finding the electron in a volume of
1.0
pm
2
at a distance of 52.9 pm from the nucleus, in a fixed but arbitrary direction?
(c) What is the probability of finding the electron in a spherical shell of 1.0 pm in thickness, at a distance of 52.9 pm from the nucleus?
Construct a molecular orbital diagram for carbon monoxide. Identify the relevant point group,include all of the appropriate symmetry labels and pictures, and fill in the electrons. Make sure toaccount for the difference in electronegativity between C and O. Hint: CO is substantiallyisoelectronic to N2. (PLEASE DRAW THE ENTIRE MO DIAGRAM!!!)
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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