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

using model chemistry: HSEh1PBE/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 HSEh1PBE/6-311G**
 hartrees
Energy at 0K-151.941851
Energy at 298.15K 
HF Energy-151.941851
Nuclear repulsion energy63.418016
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 HSEh1PBE/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 2150 2065 0.00 58.80 0.64 0.78
2 Σg 946 909 0.00 95.97 0.42 0.60
3 Σu 1603 1539 293.53 0.00 0.00 0.00
4 Πg 334 321 0.00 14.54 0.75 0.86
4 Πg 334 321 0.00 14.54 0.75 0.86
5 Πu 165 159 24.00 0.00 0.00 0.00
5 Πu 165 159 24.00 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 2848.8 cm-1
Scaled (by 0.9604) Zero Point Vibrational Energy (zpe) 2736.0 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 HSEh1PBE/6-311G**
B
0.16596

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/6-311G**

Point Group is D∞h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.644
C2 0.000 0.000 -0.644
C3 0.000 0.000 1.954
C4 0.000 0.000 -1.954

Atom - Atom Distances (Å)
  C1 C2 C3 C4
C11.28721.31042.5976
C21.28722.59761.3104
C31.31042.59763.9080
C42.59761.31043.9080

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 HSEh1PBE/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.085      
2 C 0.085      
3 C -0.085      
4 C -0.085      


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 -21.885 0.000 0.000
y 0.000 -21.885 0.000
z 0.000 0.000 -32.758
Traceless
 xyz
x 5.437 0.000 0.000
y 0.000 5.437 0.000
z 0.000 0.000 -10.873
Polar
3z2-r2-21.747
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 3.391 0.000 0.000
y 0.000 3.391 0.000
z 0.000 0.000 12.963


<r2> (average value of r2) Å2
<r2> 66.720
(<r2>)1/2 8.168

State 2 (1Σ)

Jump to S1C1
Energy calculated at HSEh1PBE/6-311G**
 hartrees
Energy at 0K-151.908840
Energy at 298.15K 
HF Energy-151.908840
Nuclear repulsion energy63.320502
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 HSEh1PBE/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 2152 2067 0.00 69.90 0.42 0.60
2 Σg 943 905 0.00 77.79 0.34 0.51
3 Σu 1612 1548 386.34 0.00 0.00 0.00
4 Πg 464 446 0.00 5.95 0.75 0.86
4 Πg 260 249 0.00 11.65 0.75 0.86
5 Πu 205 197 6.39 0.00 0.00 0.00
5 Πu 140 135 34.42 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 2887.7 cm-1
Scaled (by 0.9604) Zero Point Vibrational Energy (zpe) 2773.3 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 HSEh1PBE/6-311G**
B
0.16543

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/6-311G**

Point Group is D∞h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.646
C2 0.000 0.000 -0.646
C3 0.000 0.000 1.957
C4 0.000 0.000 -1.957

Atom - Atom Distances (Å)
  C1 C2 C3 C4
C11.29181.31082.6026
C21.29182.60261.3108
C31.31082.60263.9135
C42.60261.31083.9135

picture of Carbon tetramer state 2 conformation 1
More geometry information
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.083      
2 C 0.083      
3 C -0.083      
4 C -0.083      


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 -23.822 0.000 0.000
y 0.000 -20.126 0.000
z 0.000 0.000 -32.495
Traceless
 xyz
x 2.488 0.000 0.000
y 0.000 8.033 0.000
z 0.000 0.000 -10.521
Polar
3z2-r2-21.043
x2-y2-3.696
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.990 0.000 0.000
y 0.000 3.273 0.000
z 0.000 0.000 12.478


<r2> (average value of r2) Å2
<r2> 66.867
(<r2>)1/2 8.177