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

using model chemistry: PBEPBE/6-311G*

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 PBEPBE/6-311G*
 hartrees
Energy at 0K-484.511868
Energy at 298.15K-484.511502
HF Energy-484.511868
Nuclear repulsion energy35.886081
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 PBEPBE/6-311G*
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 342 339 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 171.0 cm-1
Scaled (by 0.9896) Zero Point Vibrational Energy (zpe) 169.2 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 PBEPBE/6-311G*
B
0.20120

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/6-311G*

Point Group is D∞h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Al1 0.000 0.000 1.246
Al2 0.000 0.000 -1.246

Atom - Atom Distances (Å)
  Al1 Al2
Al12.4921
Al22.4921

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 PBEPBE/6-311G* 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 -29.031 0.000 0.000
y 0.000 -29.031 0.000
z 0.000 0.000 -22.337
Traceless
 xyz
x -3.347 0.000 0.000
y 0.000 -3.347 0.000
z 0.000 0.000 6.694
Polar
3z2-r213.387
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 14.818 0.000 0.000
y 0.000 14.818 0.000
z 0.000 0.000 23.914


<r2> (average value of r2) Å2
<r2> 57.106
(<r2>)1/2 7.557

State 2 (1Σg)

Jump to S1C1
Energy calculated at PBEPBE/6-311G*
 hartrees
Energy at 0K-484.490674
Energy at 298.15K-484.490132
Nuclear repulsion energy28.780158
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 PBEPBE/6-311G*
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 204 202 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 101.8 cm-1
Scaled (by 0.9896) Zero Point Vibrational Energy (zpe) 100.7 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 PBEPBE/6-311G*
B
0.12941

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/6-311G*

Point Group is D∞h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
Al1 0.000 0.000 1.554
Al2 0.000 0.000 -1.554

Atom - Atom Distances (Å)
  Al1 Al2
Al13.1074
Al23.1074

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 PBEPBE/6-311G* 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 -23.567 0.000 0.000
y 0.000 -23.567 0.000
z 0.000 0.000 -43.036
Traceless
 xyz
x 9.734 0.000 0.000
y 0.000 9.734 0.000
z 0.000 0.000 -19.468
Polar
3z2-r2-38.936
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 12.721 0.000 0.000
y 0.000 12.721 0.000
z 0.000 0.000 32.608


<r2> (average value of r2) Å2
<r2> 81.536
(<r2>)1/2 9.030