Problem 1

Problem 1
This is the Z MATRIX for C2H4:
ZMATRIX
Atomic
# Atom
symbol / #
Atom
H1
C2
1
H3
2
C4
2
H5
4
H6
4
bond length
r2=1.085Å
r3=1.085Å
r4=1.331Å
r5=1.085Å
r6=1.085Å
#
Atom
angle
#
Atom
1
1
2
2
a3=120.2°
a4=120.2° 3
a5=120.2° 1
a6=120.2° 1
dihedral
angle
d4=180°
d5=0°
d6=180°
Can you detail the meaning of the each-structural information reported in
the table?
r2
r3
r4
r5
r6
C2-H1 bond
H3-C2 bond
C4-C2 bond
H5-C4 bond
H6-C4 bond
a3
a4
a5
a6
angle
angle
angle
angle
H3C2H1
C4C2H1
H5C4C2
C2C4H6
d4 dihedral C4C2H1H3
d5 dihedral H5C4C2C1
d6 dihedral H6C4C2H1
(e.g. r6 = C4-H6 bond, a6 = C2C4H6 angle, etc.).
Problem 2
Download the molecule C4H8O.xyz under Lecture Material and visualize
the geometry with Avogadro:
Following the 'sequential numbers' of the ordering you find in the table
below complete the ZMATRIX filling in the numerical values for the
bond lenghts, bond angles and dihedral angles (use the measurement tool
of Avogadro).
ZMATRIX
Atomic
symbol
C1 = 1
C2 = 2
C3 = 3
C4 = 4
O=5
H1 = 6
H2 = 7
H3 = 8
H4 = 9
H5 = 10
H6 = 11
H7 = 12
H8 = 13
# Atom
1
2
3
2
1
1
1
3
3
4
4
4
bond
length
r2=
r3=
r4=
r5=
r6=
r7=
r8=
r9=
r10=
r11=
r12=
r13=
#
Atom
angle
1
2
1
2
2
2
2
2
3
3
3
a3=
a4=
a5=
a6=
a7=
a8=
a9=
a10=
a11=
a12=
a13=
#
dihedral
Atom angle
1
3
3
3
3
1
1
2
2
2
d4=
d5=
d6=
d7=
d8=
d9=
d10=
d11=
d12=
d13=
** you can verify this numbers saving the structure with Avogadro in Zmatrix format.
Problem 3
Download the folder MOLECULAR_STRUCTURES.zip under lecture
material and visualize the following molecules with Avogadro:
Benzene, Nitrobenzene, Phenol, Aniline, Benzoic Acid, Anisole, Toluene.
Fill in the following table:
MOLECULE
Benzene
Nitrobenzene
Toluene
Phenol
Aniline
Benzoic Acid
Anisole
SUBSTITUENT
NO2
CH3
OH
NH2
COOH
OCH3
Substituents on the benzene ring might withdraw or donated electrons to the ring
according through a σ bond. This is what is called an inductive effect and is
controlled by electronegativity and the polarity of bonds in functional groups. Fill
in the following table indicating if the substituents of the benzene ring are electron
withdrawing or electron donating.
SUBSTITUENT
NO2
CH3
OH
NH2
COOH
OCH3
electron
withdrawing
yes
electron
donating
yes
yes
yes
yes
yes
Problem 4
In chemistry, pi stacking (also called π–π stacking) refers to attractive,
noncovalent interactions between aromatic rings. These interactions are
important in nucleobase stacking within DNA and RNA molecules, protein
folding, materials science.
The benzene dimer, whose different conformations are represented in Fig.1, is
the prototypical system for the study of pi stacking.
Fig.1
In this exercise, you consider the structures you obtain by adding a
substituent X to one of the two benzene rings like shown in Fig.2.
Fig.2
In order to do that, download the folder DIMER_STRUCTURES.zip
under 'lecture material' and visualize each dimer-systems with Avogadro
to complete the following table:
DIMER
SUBSTITUENT
Geometry (Sandwich, Paralleldisplaced, T-shape(1),
Tshape(2),other)
DIMER1.xyz
DIMER2.xyz
DIMER3.xyz
DIMER4.xyz
DIMER5.xyz
DIMER6.xyz
DIMER7.xyz
DIMER8.xyz
DIMER9.xyz
DIMER10.xyz
DIMER11.xyz
DIMER12.xyz
DIMER13.xyz
DIMER14.xyz
DIMER15.xyz
CN
F
OH
CH3
CN
CH3
CN
CH3
F
OH
F
OH
-
Parallel-displaced
Parallel-displaced
Parallel-displaced
T-shaped
Parallel-displaced
T-shaped(2)
T-shaped(1)
T-shaped(2)
Other
Parallel-displaced
Other
T-shaped (1)
T-shaped (1)
Other
Other