Jump to
S1C2
S1C3
Vibrational Frequencies calculated at mPW1PW91/6-31+G**
Geometric Data calculated at mPW1PW91/6-31+G**
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Jump to
S1C1
S1C3
Energy calculated at mPW1PW91/6-31+G**
| hartrees |
Energy at 0K | -351.762816 |
Energy at 298.15K | -351.764028 |
HF Energy | -351.762816 |
Nuclear repulsion energy | 81.761675 |
The energy at 298.15K was derived from the energy at 0K
and an integrated heat capacity that used the calculated vibrational frequencies.
Vibrational Frequencies calculated at mPW1PW91/6-31+G**
Mode Number |
Symmetry |
Frequency (cm-1) |
Scaled Frequency (cm-1) |
IR Intensities (km mol-1) |
Raman Act (Å4/u) |
Dep P |
Dep U |
1 |
A |
4083 |
3886 |
0.00 |
|
|
|
2 |
A |
592 |
563 |
0.00 |
|
|
|
3 |
A |
262 |
249 |
0.00 |
|
|
|
4 |
A |
161 |
153 |
28.45 |
|
|
|
5 |
A |
58 |
55 |
331.72 |
|
|
|
6 |
B |
4083 |
3886 |
168.31 |
|
|
|
7 |
B |
880 |
838 |
172.32 |
|
|
|
8 |
B |
252 |
240 |
344.42 |
|
|
|
9 |
B |
155 |
147 |
50.35 |
|
|
|
Unscaled Zero Point Vibrational Energy (zpe) 5262.4 cm
-1
Scaled (by 0.9518) Zero Point Vibrational Energy (zpe) 5008.8 cm
-1
See section
III.C.1 List or set vibrational scaling factors
to change the scale factors used here.
See section
III.C.2
Calculate a vibrational scaling factor for a given set of molecules
to determine the least squares best scaling factor.
Geometric Data calculated at mPW1PW91/6-31+G**
Point Group is C2
Cartesians (Å)
Atom |
x (Å) |
y (Å) |
z (Å) |
Mg1 |
0.000 |
0.000 |
0.000 |
O2 |
0.000 |
1.795 |
-0.000 |
O3 |
0.000 |
-1.795 |
-0.000 |
H4 |
-0.507 |
2.599 |
0.000 |
H5 |
0.507 |
-2.599 |
0.000 |
Atom - Atom Distances (Å)
|
Mg1 |
O2 |
O3 |
H4 |
H5 |
Mg1 | | 1.7947 | 1.7947 | 2.6480 | 2.6480 |
O2 | 1.7947 | | 3.5894 | 0.9509 | 4.4228 | O3 | 1.7947 | 3.5894 | | 4.4228 | 0.9509 | H4 | 2.6480 | 0.9509 | 4.4228 | | 5.2960 | H5 | 2.6480 | 4.4228 | 0.9509 | 5.2960 | |
More geometry information
Calculated Bond Angles
atom1 |
atom2 |
atom3 |
angle |
|
atom1 |
atom2 |
atom3 |
angle |
Mg1 |
O2 |
H4 |
147.750 |
|
Mg1 |
O3 |
H5 |
147.750 |
O2 |
Mg1 |
O3 |
179.999 |
|
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-31+G**
Charges (e)
Number |
Element |
Mulliken |
CHELPG |
AIM |
ESP |
1 |
Mg |
1.187 |
|
|
|
2 |
O |
-0.953 |
|
|
|
3 |
O |
-0.953 |
|
|
|
4 |
H |
0.359 |
|
|
|
5 |
H |
0.359 |
|
|
|
Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section
VII.A.3)
|
x |
y |
z |
Total |
|
0.000 |
0.000 |
0.000 |
0.000 |
CHELPG |
|
|
|
|
AIM |
|
|
|
|
ESP |
|
|
|
|
Electric Quadrupole moment
Quadrupole components in D Å
Primitive |
| x | y | z |
x |
-18.922 |
-5.520 |
0.000 |
y |
-5.520 |
-24.370 |
0.000 |
z |
0.000 |
0.000 |
-20.524 |
|
Traceless |
| x | y | z |
x |
3.526 |
-5.520 |
0.000 |
y |
-5.520 |
-4.647 |
0.000 |
z |
0.000 |
0.000 |
1.122 |
|
Polar |
3z2-r2 | 2.243 |
x2-y2 | 5.449 |
xy | -5.520 |
xz | 0.000 |
yz | 0.000 |
|
Polarizabilities
Components of the polarizability tensor.
Units are
Å
3 (Angstrom cubed)
Change units.
|
x |
y |
z |
x |
3.129 |
0.316 |
0.000 |
y |
0.316 |
4.648 |
0.000 |
z |
0.000 |
0.000 |
3.285 |
<r2> (average value of r
2) Å
2
<r2> |
78.845 |
(<r2>)1/2 |
8.879 |
Jump to
S1C1
S1C2
Energy calculated at mPW1PW91/6-31+G**
| hartrees |
Energy at 0K | -351.762235 |
Energy at 298.15K | |
HF Energy | -351.762235 |
Nuclear repulsion energy | 82.389836 |
The energy at 298.15K was derived from the energy at 0K
and an integrated heat capacity that used the calculated vibrational frequencies.
Vibrational Frequencies calculated at mPW1PW91/6-31+G**
Mode Number |
Symmetry |
Frequency (cm-1) |
Scaled Frequency (cm-1) |
IR Intensities (km mol-1) |
Raman Act (Å4/u) |
Dep P |
Dep U |
1 |
Σg |
4130 |
3931 |
0.00 |
|
|
|
2 |
Σg |
602 |
573 |
0.00 |
|
|
|
3 |
Σu |
4129 |
3930 |
233.87 |
|
|
|
4 |
Σu |
901 |
857 |
216.27 |
|
|
|
5 |
Πg |
176i |
168i |
0.00 |
|
|
|
5 |
Πg |
176i |
168i |
0.00 |
|
|
|
6 |
Πu |
170 |
162 |
31.58 |
|
|
|
6 |
Πu |
170 |
162 |
31.58 |
|
|
|
7 |
Πu |
148i |
141i |
333.46 |
|
|
|
7 |
Πu |
148i |
141i |
333.46 |
|
|
|
Unscaled Zero Point Vibrational Energy (zpe) 4726.3 cm
-1
Scaled (by 0.9518) Zero Point Vibrational Energy (zpe) 4498.5 cm
-1
See section
III.C.1 List or set vibrational scaling factors
to change the scale factors used here.
See section
III.C.2
Calculate a vibrational scaling factor for a given set of molecules
to determine the least squares best scaling factor.
Geometric Data calculated at mPW1PW91/6-31+G**
Point Group is D∞h
Cartesians (Å)
Atom |
x (Å) |
y (Å) |
z (Å) |
Mg1 |
0.000 |
0.000 |
0.000 |
O2 |
0.000 |
0.000 |
1.774 |
O3 |
0.000 |
0.000 |
-1.774 |
H4 |
0.000 |
0.000 |
2.722 |
H5 |
0.000 |
0.000 |
-2.722 |
Atom - Atom Distances (Å)
|
Mg1 |
O2 |
O3 |
H4 |
H5 |
Mg1 | | 1.7743 | 1.7743 | 2.7219 | 2.7219 |
O2 | 1.7743 | | 3.5485 | 0.9476 | 4.4961 | O3 | 1.7743 | 3.5485 | | 4.4961 | 0.9476 | H4 | 2.7219 | 0.9476 | 4.4961 | | 5.4438 | H5 | 2.7219 | 4.4961 | 0.9476 | 5.4438 | |
More geometry information
Calculated Bond Angles
atom1 |
atom2 |
atom3 |
angle |
|
atom1 |
atom2 |
atom3 |
angle |
Mg1 |
O2 |
H4 |
180.000 |
|
Mg1 |
O3 |
H5 |
180.000 |
O2 |
Mg1 |
O3 |
180.000 |
|
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-31+G**
Charges (e)
Number |
Element |
Mulliken |
CHELPG |
AIM |
ESP |
1 |
Mg |
1.274 |
|
|
|
2 |
O |
-0.996 |
|
|
|
3 |
O |
-0.996 |
|
|
|
4 |
H |
0.359 |
|
|
|
5 |
H |
0.359 |
|
|
|
Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section
VII.A.3)
|
x |
y |
z |
Total |
|
0.000 |
0.000 |
0.000 |
0.000 |
CHELPG |
|
|
|
|
AIM |
|
|
|
|
ESP |
|
|
|
|
Electric Quadrupole moment
Quadrupole components in D Å
Primitive |
| x | y | z |
x |
-20.447 |
0.000 |
0.000 |
y |
0.000 |
-20.447 |
0.000 |
z |
0.000 |
0.000 |
-20.567 |
|
Traceless |
| x | y | z |
x |
0.060 |
0.000 |
0.000 |
y |
0.000 |
0.060 |
0.000 |
z |
0.000 |
0.000 |
-0.120 |
|
Polar |
3z2-r2 | -0.239 |
x2-y2 | 0.000 |
xy | 0.000 |
xz | 0.000 |
yz | 0.000 |
|
Polarizabilities
Components of the polarizability tensor.
Units are
Å
3 (Angstrom cubed)
Change units.
|
x |
y |
z |
x |
3.106 |
0.000 |
0.000 |
y |
0.000 |
3.106 |
0.000 |
z |
0.000 |
0.000 |
4.411 |
<r2> (average value of r
2) Å
2
<r2> |
77.981 |
(<r2>)1/2 |
8.831 |