Spectroscopy exam
Friday November 2
nd
2018
Teacher: Dennis Hetterscheid
Exam checked by: Franco Buda
Write your name and student number on every page containing answers. It
is not allowed to use your notes, books, mobile phone, etc.
This exam consists out of
3
problems and
3
pages. Read the questions
carefully before you answer them. Answer the question precisely and clearly
indicaté how you got to the answer. An explanation how you got to your
answer counts as least as many points as the answer itself.
1. Consider the molecule O
2•
a. What term symbols belong to the ground state configuration of
O
2
wherein there are two electrons positioned in the n* orbitals.
5
points
b. A3
"i...
u+
and B3
"i...
u-
are two exited states of the O
2
molecule. Take
into account the terms A3
"i...
u
+
and B3
"i...
u-
and the term symbols
that you found at la). Which absorptions do you expect to
observe at room temperature?
5
points
c. The dioxygen molecule in the A3
"i...
u+
state easily falls apart into
two oxygen atoms with a 3pterm. What other terms can you find
for an oxygen atom with a p" configuration?
10
points
d. One of the transitions th at is important for the atomic
spectroscopy of oxygen is the absorption from 3pto an exited
state 3S.This absorption is split into several lines. How many are
these? And how many lines do you expect to find for the
transition from 3pto 3Sterms when the experiment is carried out
in astrong magnetic field?
15
points
e. Which of the term symbols that you found at la) do you expect
to be affected by a magnetic field? Explain your answer. 5
points
2. Consider the molecule
PCis
with D3hsymmetry. Give the normalized
linear equations belonging to the
P-CI
stretches. Show that the
equations you found are orthogonal.
20
points
