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

using model chemistry: B3LYP/CEP-121G*

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/CEP-121G*
 hartrees
Energy at 0K-22.281031
Energy at 298.15K 
HF Energy-22.281031
Nuclear repulsion energy27.899229
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/CEP-121G*
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 2063 2000 0.00 72.54 0.53 0.69
2 Σg 915 887 0.00 105.99 0.38 0.55
3 Σu 1542 1495 295.89 0.00 0.00 0.00
4 Πg 543 526 0.00 3.89 0.75 0.86
4 Πg 543 526 0.00 3.89 0.75 0.86
5 Πu 232 225 22.93 0.00 0.00 0.00
5 Πu 232 225 22.93 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 3034.4 cm-1
Scaled (by 0.9694) Zero Point Vibrational Energy (zpe) 2941.5 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.
Rotational Constants (cm-1) from geometry optimized at B3LYP/CEP-121G*
B
0.16259

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/CEP-121G*

Point Group is D∞h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.651
C2 0.000 0.000 -0.651
C3 0.000 0.000 1.974
C4 0.000 0.000 -1.974

Atom - Atom Distances (Å)
  C1 C2 C3 C4
C11.30171.32312.6248
C21.30172.62481.3231
C31.32312.62483.9479
C42.62481.32313.9479

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/CEP-121G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.443      
2 C 0.443      
3 C -0.443      
4 C -0.443      


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 -21.774 0.000 0.000
y 0.000 -21.774 0.000
z 0.000 0.000 -33.170
Traceless
 xyz
x 5.698 0.000 0.000
y 0.000 5.698 0.000
z 0.000 0.000 -11.396
Polar
3z2-r2-22.791
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 3.576 0.000 0.000
y 0.000 3.576 0.000
z 0.000 0.000 13.731


<r2> (average value of r2) Å2
<r2> 50.532
(<r2>)1/2 7.109

State 2 (1Σ)

Jump to S1C1
Energy calculated at B3LYP/CEP-121G*
 hartrees
Energy at 0K-22.252374
Energy at 298.15K 
HF Energy-22.252374
Nuclear repulsion energy27.858331
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/CEP-121G*
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 2068 2005 0.00 86.81 0.39 0.56
2 Σg 912 884 0.00 86.59 0.31 0.48
3 Σu 1552 1505 380.37 0.00 0.00 0.00
4 Πg 606 588 0.00 8.55 0.75 0.86
4 Πg 521 505 0.00 4.91 0.75 0.86
5 Πu 251 244 6.35 0.00 0.00 0.00
5 Πu 227 220 34.76 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 3069.1 cm-1
Scaled (by 0.9694) Zero Point Vibrational Energy (zpe) 2975.2 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/CEP-121G*
B
0.16210

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/CEP-121G*

Point Group is D∞h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.653
C2 0.000 0.000 -0.653
C3 0.000 0.000 1.977
C4 0.000 0.000 -1.977

Atom - Atom Distances (Å)
  C1 C2 C3 C4
C11.30571.32372.6295
C21.30572.62951.3237
C31.32372.62953.9532
C42.62951.32373.9532

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/CEP-121G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.444      
2 C 0.444      
3 C -0.444      
4 C -0.444      


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 -23.751 0.000 0.000
y 0.000 -19.986 0.000
z 0.000 0.000 -32.917
Traceless
 xyz
x 2.700 0.000 0.000
y 0.000 8.348 0.000
z 0.000 0.000 -11.048
Polar
3z2-r2-22.096
x2-y2-3.765
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.277 0.000 0.000
y 0.000 3.396 0.000
z 0.000 0.000 13.230


<r2> (average value of r2) Å2
<r2> 50.625
(<r2>)1/2 7.115