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All results from a given calculation for C4 (Carbon tetramer)

using model chemistry: B3PW91/6-311+G(3df,2p)

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 1Σ

State 1 (3Σg)

Jump to S2C1
Energy calculated at B3PW91/6-311+G(3df,2p)
 hartrees
Energy at 0K-152.063015
Energy at 298.15K 
HF Energy-152.063015
Nuclear repulsion energy63.553589
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 B3PW91/6-311+G(3df,2p)
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 2132 2041 0.00 63.94 0.58 0.73
2 Σg 942 902 0.00 100.49 0.33 0.49
3 Σu 1591 1523 325.74 0.00 0.00 0.00
4 Πg 385 368 0.00 22.97 0.75 0.86
4 Πg 385 368 0.00 22.97 0.75 0.86
5 Πu 173 166 26.86 0.00 0.00 0.00
5 Πu 173 166 26.86 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 2890.2 cm-1
Scaled (by 0.9573) Zero Point Vibrational Energy (zpe) 2766.8 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.
Rotational Constants (cm-1) from geometry optimized at B3PW91/6-311+G(3df,2p)
B
0.16666

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/6-311+G(3df,2p)

Point Group is D∞h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.643
C2 0.000 0.000 -0.643
C3 0.000 0.000 1.950
C4 0.000 0.000 -1.950

Atom - Atom Distances (Å)
  C1 C2 C3 C4
C11.28531.30712.5924
C21.28532.59241.3071
C31.30712.59243.8995
C42.59241.30713.8995

picture of Carbon tetramer state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C4 180.000 C2 C1 C3 180.000
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/6-311+G(3df,2p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.549      
2 C 0.549      
3 C -0.549      
4 C -0.549      


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 -22.038 0.000 0.000
y 0.000 -22.038 0.000
z 0.000 0.000 -33.202
Traceless
 xyz
x 5.582 0.000 0.000
y 0.000 5.582 0.000
z 0.000 0.000 -11.164
Polar
3z2-r2-22.329
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 4.724 0.000 0.000
y 0.000 4.724 0.000
z 0.000 0.000 13.647


<r2> (average value of r2) Å2
<r2> 66.662
(<r2>)1/2 8.165

State 2 (1Σ)

Jump to S1C1
Energy calculated at B3PW91/6-311+G(3df,2p)
 hartrees
Energy at 0K-152.031183
Energy at 298.15K 
HF Energy-152.031183
Nuclear repulsion energy63.460718
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 B3PW91/6-311+G(3df,2p)
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 2134 2043 0.00 92.55 0.37 0.54
2 Σg 938 898 0.00 86.77 0.25 0.40
3 Σu 1602 1533 408.51 0.00 0.00 0.00
4 Πg 493 472 0.00 0.27 0.75 0.86
4 Πg 281 269 0.00 18.83 0.75 0.86
5 Πu 210 201 7.82 0.00 0.00 0.00
5 Πu 142 136 38.88 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 2899.8 cm-1
Scaled (by 0.9573) Zero Point Vibrational Energy (zpe) 2775.9 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 B3PW91/6-311+G(3df,2p)
B
0.16615

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/6-311+G(3df,2p)

Point Group is D∞h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.645
C2 0.000 0.000 -0.645
C3 0.000 0.000 1.952
C4 0.000 0.000 -1.952

Atom - Atom Distances (Å)
  C1 C2 C3 C4
C11.28971.30752.5972
C21.28972.59721.3075
C31.30752.59723.9047
C42.59721.30753.9047

picture of Carbon tetramer state 2 conformation 1
More geometry information
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/6-311+G(3df,2p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.541      
2 C 0.541      
3 C -0.541      
4 C -0.541      


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 -20.339 0.000 0.000
y 0.000 -23.950 0.000
z 0.000 0.000 -32.994
Traceless
 xyz
x 8.133 0.000 0.000
y 0.000 2.716 0.000
z 0.000 0.000 -10.850
Polar
3z2-r2-21.699
x2-y23.611
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.546 0.000 0.000
y 0.000 4.511 0.000
z 0.000 0.000 13.236


<r2> (average value of r2) Å2
<r2> 66.819
(<r2>)1/2 8.174