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

using model chemistry: B1B95/6-31+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 B1B95/6-31+G**
 hartrees
Energy at 0K-152.032722
Energy at 298.15K 
HF Energy-152.032722
Nuclear repulsion energy63.298482
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 B1B95/6-31+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 2160 2066 0.00 67.29 0.54 0.70
2 Σg 952 911 0.00 99.46 0.36 0.53
3 Σu 1618 1548 328.20 0.00 0.00 0.00
4 Πg 378 362 0.00 8.64 0.75 0.86
4 Πg 378 362 0.00 8.64 0.75 0.86
5 Πu 174 166 21.53 0.00 0.00 0.00
5 Πu 174 166 21.53 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 2917.2 cm-1
Scaled (by 0.9566) Zero Point Vibrational Energy (zpe) 2790.6 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 B1B95/6-31+G**
B
0.16531

See section I.F.4 to change rotational constant units
Geometric Data calculated at B1B95/6-31+G**

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
C11.29251.31122.6036
C21.29252.60361.3112
C31.31122.60363.9148
C42.60361.31123.9148

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 B1B95/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 1.099      
2 C 1.099      
3 C -1.099      
4 C -1.099      


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 -22.091 0.000 0.000
y 0.000 -22.091 0.000
z 0.000 0.000 -33.123
Traceless
 xyz
x 5.516 0.000 0.000
y 0.000 5.516 0.000
z 0.000 0.000 -11.032
Polar
3z2-r2-22.063
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 3.848 0.000 0.000
y 0.000 3.848 0.000
z 0.000 0.000 13.751


<r2> (average value of r2) Å2
<r2> 67.082
(<r2>)1/2 8.190

State 2 (1Σ)

Jump to S1C1
Energy calculated at B1B95/6-31+G**
 hartrees
Energy at 0K-152.002644
Energy at 298.15K 
HF Energy-152.002644
Nuclear repulsion energy63.199237
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 B1B95/6-31+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 2162 2069 0.00 91.36 0.39 0.56
2 Σg 949 907 0.00 84.08 0.30 0.47
3 Σu 1623 1553 412.48 0.00 0.00 0.00
4 Πg 472 452 0.00 1.23 0.75 0.86
4 Πg 304 291 0.00 12.58 0.75 0.86
5 Πu 202 194 5.11 0.00 0.00 0.00
5 Πu 157 151 33.11 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 2935.0 cm-1
Scaled (by 0.9566) Zero Point Vibrational Energy (zpe) 2807.6 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 B1B95/6-31+G**
B
0.16478

See section I.F.4 to change rotational constant units
Geometric Data calculated at B1B95/6-31+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 1.960
C4 0.000 0.000 -1.960

Atom - Atom Distances (Å)
  C1 C2 C3 C4
C11.29601.31232.6083
C21.29602.60831.3123
C31.31232.60833.9206
C42.60831.31233.9206

picture of Carbon tetramer state 2 conformation 1
More geometry information
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B1B95/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 1.064      
2 C 1.064      
3 C -1.064      
4 C -1.064      


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 -20.319 0.000 0.000
y 0.000 -24.083 0.000
z 0.000 0.000 -32.877
Traceless
 xyz
x 8.161 0.000 0.000
y 0.000 2.515 0.000
z 0.000 0.000 -10.676
Polar
3z2-r2-21.352
x2-y23.764
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.651 0.000 0.000
y 0.000 3.677 0.000
z 0.000 0.000 13.339


<r2> (average value of r2) Å2
<r2> 67.242
(<r2>)1/2 8.200