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

using model chemistry: B3LYP/TZVP

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 B3LYP/TZVP
 hartrees
Energy at 0K-152.142393
Energy at 298.15K 
HF Energy-152.142393
Nuclear repulsion energy63.578156
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 B3LYP/TZVP
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 2131 2057 0.00 66.94 0.61 0.76
2 Σg 945 912 0.00 96.95 0.39 0.57
3 Σu 1604 1548 309.63 0.00 0.00 0.00
4 Πg 365 352 0.00 18.92 0.75 0.86
4 Πg 365 352 0.00 18.92 0.75 0.86
5 Πu 168 162 24.16 0.00 0.00 0.00
5 Πu 168 162 24.16 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 2872.5 cm-1
Scaled (by 0.9654) Zero Point Vibrational Energy (zpe) 2773.1 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 B3LYP/TZVP
B
0.16677

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/TZVP

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 1.949
C4 0.000 0.000 -1.949

Atom - Atom Distances (Å)
  C1 C2 C3 C4
C11.28701.30532.5922
C21.28702.59221.3053
C31.30532.59223.8975
C42.59221.30533.8975

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 B3LYP/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.237      
2 C 0.237      
3 C -0.237      
4 C -0.237      


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 -22.114 0.000 0.000
y 0.000 -22.114 0.000
z 0.000 0.000 -33.659
Traceless
 xyz
x 5.772 0.000 0.000
y 0.000 5.772 0.000
z 0.000 0.000 -11.544
Polar
3z2-r2-23.089
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 3.870 0.000 0.000
y 0.000 3.870 0.000
z 0.000 0.000 13.455


<r2> (average value of r2) Å2
<r2> 66.757
(<r2>)1/2 8.170

State 2 (1Σ)

Jump to S1C1
Energy calculated at B3LYP/TZVP
 hartrees
Energy at 0K-152.114024
Energy at 298.15K 
HF Energy-152.114024
Nuclear repulsion energy63.475036
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 B3LYP/TZVP
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 2133 2060 0.00 85.97 0.41 0.58
2 Σg 941 908 0.00 82.27 0.32 0.48
3 Σu 1609 1554 380.40 0.00 0.00 0.00
4 Πg 474 457 0.00 0.91 0.75 0.86
4 Πg 299 289 0.00 17.62 0.75 0.86
5 Πu 203 196 6.37 0.00 0.00 0.00
5 Πu 150 145 36.42 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 2904.7 cm-1
Scaled (by 0.9654) Zero Point Vibrational Energy (zpe) 2804.2 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 B3LYP/TZVP
B
0.16622

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/TZVP

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
C11.29071.30642.5971
C21.29072.59711.3064
C31.30642.59713.9035
C42.59711.30643.9035

picture of Carbon tetramer state 2 conformation 1
More geometry information
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.231      
2 C 0.231      
3 C -0.231      
4 C -0.231      


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 -24.107 0.000 0.000
y 0.000 -20.335 0.000
z 0.000 0.000 -33.456
Traceless
 xyz
x 2.788 0.000 0.000
y 0.000 8.447 0.000
z 0.000 0.000 -11.235
Polar
3z2-r2-22.470
x2-y2-3.772
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.605 0.000 0.000
y 0.000 3.651 0.000
z 0.000 0.000 13.053


<r2> (average value of r2) Å2
<r2> 66.928
(<r2>)1/2 8.181