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

using model chemistry: B3LYP/6-31+G**

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/6-31+G**
 hartrees
Energy at 0K-152.103539
Energy at 298.15K 
HF Energy-152.103539
Nuclear repulsion energy63.165924
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/6-31+G**
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 2127 2051 0.00 70.35 0.58 0.73
2 Σg 942 908 0.00 98.67 0.38 0.55
3 Σu 1598 1541 309.44 0.00 0.00 0.00
4 Πg 393 379 0.00 13.06 0.75 0.86
4 Πg 393 379 0.00 13.06 0.75 0.86
5 Πu 183 177 22.79 0.00 0.00 0.00
5 Πu 183 177 22.79 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 2909.6 cm-1
Scaled (by 0.9642) Zero Point Vibrational Energy (zpe) 2805.4 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/6-31+G**
B
0.16462

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-31+G**

Point Group is D∞h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.648
C2 0.000 0.000 -0.648
C3 0.000 0.000 1.962
C4 0.000 0.000 -1.962

Atom - Atom Distances (Å)
  C1 C2 C3 C4
C11.29511.31402.6091
C21.29512.60911.3140
C31.31402.60913.9230
C42.60911.31403.9230

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/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 1.286      
2 C 1.286      
3 C -1.286      
4 C -1.286      


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 -22.256 0.000 0.000
y 0.000 -22.256 0.000
z 0.000 0.000 -33.730
Traceless
 xyz
x 5.737 0.000 0.000
y 0.000 5.737 0.000
z 0.000 0.000 -11.474
Polar
3z2-r2-22.948
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 3.989 0.000 0.000
y 0.000 3.989 0.000
z 0.000 0.000 13.891


<r2> (average value of r2) Å2
<r2> 67.491
(<r2>)1/2 8.215

State 2 (1Σ)

Jump to S1C1
Energy calculated at B3LYP/6-31+G**
 hartrees
Energy at 0K-152.075149
Energy at 298.15K 
HF Energy-152.075149
Nuclear repulsion energy63.070505
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/6-31+G**
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 2055 0.00 93.21 0.40 0.57
2 Σg 939 905 0.00 84.11 0.30 0.47
3 Σu 1606 1548 384.70 0.00 0.00 0.00
4 Πg 486 468 0.00 0.89 0.75 0.86
4 Πg 333 321 0.00 13.89 0.75 0.86
5 Πu 208 200 5.63 0.00 0.00 0.00
5 Πu 170 164 34.59 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 2936.2 cm-1
Scaled (by 0.9642) Zero Point Vibrational Energy (zpe) 2831.1 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/6-31+G**
B
0.16411

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-31+G**

Point Group is D∞h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.649
C2 0.000 0.000 -0.649
C3 0.000 0.000 1.964
C4 0.000 0.000 -1.964

Atom - Atom Distances (Å)
  C1 C2 C3 C4
C11.29881.31492.6137
C21.29882.61371.3149
C31.31492.61373.9286
C42.61371.31493.9286

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/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 1.257      
2 C 1.257      
3 C -1.257      
4 C -1.257      


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 -20.466 0.000 0.000
y 0.000 -24.275 0.000
z 0.000 0.000 -33.506
Traceless
 xyz
x 8.424 0.000 0.000
y 0.000 2.711 0.000
z 0.000 0.000 -11.136
Polar
3z2-r2-22.271
x2-y23.808
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.754 0.000 0.000
y 0.000 3.785 0.000
z 0.000 0.000 13.475


<r2> (average value of r2) Å2
<r2> 67.653
(<r2>)1/2 8.225