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All results from a given calculation for Al2 (Aluminum diatomic)

using model chemistry: mPW1PW91/6-31G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D*H 3Σg
2 1 yes D*H 1Σg

State 1 (3Σg)

Jump to S2C1
Energy calculated at mPW1PW91/6-31G
 hartrees
Energy at 0K-484.743935
Energy at 298.15K-484.743470
HF Energy-484.743935
Nuclear repulsion energy32.037241
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 mPW1PW91/6-31G
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 Σg 260 246 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 130.0 cm-1
Scaled (by 0.9466) Zero Point Vibrational Energy (zpe) 123.0 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.
Rotational Constants (cm-1) from geometry optimized at mPW1PW91/6-31G
B
0.16036

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-31G

Point Group is D∞h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Al1 0.000 0.000 1.396
Al2 0.000 0.000 -1.396

Atom - Atom Distances (Å)
  Al1 Al2
Al12.7915
Al22.7915

picture of Aluminum diatomic state 1 conformation 1
More geometry information
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Al 0.000      
2 Al 0.000      


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
 xyz
x -23.303 0.000 0.000
y 0.000 -30.436 0.000
z 0.000 0.000 -32.851
Traceless
 xyz
x 8.340 0.000 0.000
y 0.000 -2.359 0.000
z 0.000 0.000 -5.982
Polar
3z2-r2-11.963
x2-y27.133
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 11.782 0.000 0.000
y 0.000 9.299 0.000
z 0.000 0.000 28.628


<r2> (average value of r2) Å2
<r2> 68.677
(<r2>)1/2 8.287

State 2 (1Σg)

Jump to S1C1
Energy calculated at mPW1PW91/6-31G
 hartrees
Energy at 0K-484.725665
Energy at 298.15K-484.725122
Nuclear repulsion energy28.713713
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 mPW1PW91/6-31G
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 Σg 203 193 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 101.7 cm-1
Scaled (by 0.9466) Zero Point Vibrational Energy (zpe) 96.3 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.
Rotational Constants (cm-1) from geometry optimized at mPW1PW91/6-31G
B
0.12881

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-31G

Point Group is D∞h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Al1 0.000 0.000 1.557
Al2 0.000 0.000 -1.557

Atom - Atom Distances (Å)
  Al1 Al2
Al13.1146
Al23.1146

picture of Aluminum diatomic state 2 conformation 1
More geometry information
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 Al 0.000      
2 Al 0.000      


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
 xyz
x -23.665 0.000 0.000
y 0.000 -23.665 0.000
z 0.000 0.000 -45.118
Traceless
 xyz
x 10.726 0.000 0.000
y 0.000 10.726 0.000
z 0.000 0.000 -21.453
Polar
3z2-r2-42.905
x2-y20.000
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 13.378 0.000 0.000
y 0.000 13.378 0.000
z 0.000 0.000 32.310


<r2> (average value of r2) Å2
<r2> 82.301
(<r2>)1/2 9.072