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

using model chemistry: B1B95/6-311G*

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 1Σ

State 1 (3Σg)

Jump to S2C1
Energy calculated at B1B95/6-311G*
 hartrees
Energy at 0K-152.056490
Energy at 298.15K 
HF Energy-152.056490
Nuclear repulsion energy63.511045
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 B1B95/6-311G*
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 2155 2066 0.00 58.37 0.55 0.71
2 Σg 947 908 0.00 91.77 0.39 0.56
3 Σu 1610 1543 309.38 0.00 0.00 0.00
4 Πg 353 339 0.00 4.83 0.75 0.86
4 Πg 353 339 0.00 4.83 0.75 0.86
5 Πu 167 160 21.81 0.00 0.00 0.00
5 Πu 167 160 21.81 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 2876.4 cm-1
Scaled (by 0.9586) Zero Point Vibrational Energy (zpe) 2757.3 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 B1B95/6-311G*
B
0.16643

See section I.F.4 to change rotational constant units
Geometric Data calculated at B1B95/6-311G*

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 1.951
C4 0.000 0.000 -1.951

Atom - Atom Distances (Å)
  C1 C2 C3 C4
C11.28701.30752.5944
C21.28702.59441.3075
C31.30752.59443.9019
C42.59441.30753.9019

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 B1B95/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.079      
2 C 0.079      
3 C -0.079      
4 C -0.079      


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 -21.789 0.000 0.000
y 0.000 -21.789 0.000
z 0.000 0.000 -32.467
Traceless
 xyz
x 5.339 0.000 0.000
y 0.000 5.339 0.000
z 0.000 0.000 -10.678
Polar
3z2-r2-21.356
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 3.277 0.000 0.000
y 0.000 3.277 0.000
z 0.000 0.000 12.784


<r2> (average value of r2) Å2
<r2> 66.476
(<r2>)1/2 8.153

State 2 (1Σ)

Jump to S1C1
Energy calculated at B1B95/6-311G*
 hartrees
Energy at 0K-152.026212
Energy at 298.15K 
HF Energy-152.026212
Nuclear repulsion energy63.411541
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 B1B95/6-311G*
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 2158 2068 0.00 71.62 0.41 0.59
2 Σg 943 904 0.00 77.00 0.34 0.50
3 Σu 1615 1549 391.41 0.00 0.00 0.00
4 Πg 461 442 0.00 6.17 0.75 0.86
4 Πg 265 254 0.00 10.09 0.75 0.86
5 Πu 204 196 6.12 0.00 0.00 0.00
5 Πu 138 133 33.62 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 2892.4 cm-1
Scaled (by 0.9586) Zero Point Vibrational Energy (zpe) 2772.7 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 B1B95/6-311G*
B
0.16590

See section I.F.4 to change rotational constant units
Geometric Data calculated at B1B95/6-311G*

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 1.954
C4 0.000 0.000 -1.954

Atom - Atom Distances (Å)
  C1 C2 C3 C4
C11.29081.30852.5992
C21.29082.59921.3085
C31.30852.59923.9077
C42.59921.30853.9077

picture of Carbon tetramer state 2 conformation 1
More geometry information
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B1B95/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.078      
2 C 0.078      
3 C -0.078      
4 C -0.078      


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 -20.045 0.000 0.000
y 0.000 -23.701 0.000
z 0.000 0.000 -32.250
Traceless
 xyz
x 7.931 0.000 0.000
y 0.000 2.446 0.000
z 0.000 0.000 -10.377
Polar
3z2-r2-20.754
x2-y23.656
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.232 0.000 0.000
y 0.000 2.967 0.000
z 0.000 0.000 12.397


<r2> (average value of r2) Å2
<r2> 66.630
(<r2>)1/2 8.163