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

using model chemistry: B3PW91/6-311G**

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 B3PW91/6-311G**
 hartrees
Energy at 0K-152.050246
Energy at 298.15K 
HF Energy-152.050246
Nuclear repulsion energy63.360533
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 B3PW91/6-311G**
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 2133 2054 0.00 59.53 0.63 0.78
2 Σg 939 905 0.00 93.41 0.42 0.59
3 Σu 1589 1530 293.66 0.00 0.00 0.00
4 Πg 330 318 0.00 13.24 0.75 0.86
4 Πg 330 318 0.00 13.24 0.75 0.86
5 Πu 164 158 23.71 0.00 0.00 0.00
5 Πu 164 158 23.71 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 2823.8 cm-1
Scaled (by 0.9631) Zero Point Vibrational Energy (zpe) 2719.6 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 B3PW91/6-311G**
B
0.16566

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/6-311G**

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 1.956
C4 0.000 0.000 -1.956

Atom - Atom Distances (Å)
  C1 C2 C3 C4
C11.28841.31152.6000
C21.28842.60001.3115
C31.31152.60003.9115
C42.60001.31153.9115

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 B3PW91/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.094      
2 C 0.094      
3 C -0.094      
4 C -0.094      


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 -21.838 0.000 0.000
y 0.000 -21.838 0.000
z 0.000 0.000 -32.740
Traceless
 xyz
x 5.451 0.000 0.000
y 0.000 5.451 0.000
z 0.000 0.000 -10.901
Polar
3z2-r2-21.803
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 3.379 0.000 0.000
y 0.000 3.379 0.000
z 0.000 0.000 12.943


<r2> (average value of r2) Å2
<r2> 66.790
(<r2>)1/2 8.172

State 2 (1Σ)

Jump to S1C1
Energy calculated at B3PW91/6-311G**
 hartrees
Energy at 0K-152.018582
Energy at 298.15K 
HF Energy-152.018582
Nuclear repulsion energy63.265414
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 B3PW91/6-311G**
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 2136 2057 0.00 71.48 0.43 0.60
2 Σg 936 902 0.00 77.43 0.34 0.51
3 Σu 1601 1542 378.90 0.00 0.00 0.00
4 Πg 462 445 0.00 5.85 0.75 0.86
4 Πg 249 240 0.00 12.17 0.75 0.86
5 Πu 204 197 6.45 0.00 0.00 0.00
5 Πu 137 132 34.67 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 2862.3 cm-1
Scaled (by 0.9631) Zero Point Vibrational Energy (zpe) 2756.7 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 B3PW91/6-311G**
B
0.16514

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/6-311G**

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 1.958
C4 0.000 0.000 -1.958

Atom - Atom Distances (Å)
  C1 C2 C3 C4
C11.29301.31192.6049
C21.29302.60491.3119
C31.31192.60493.9169
C42.60491.31193.9169

picture of Carbon tetramer state 2 conformation 1
More geometry information
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.090      
2 C 0.090      
3 C -0.090      
4 C -0.090      


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 -20.080 0.000 0.000
y 0.000 -23.764 0.000
z 0.000 0.000 -32.499
Traceless
 xyz
x 8.051 0.000 0.000
y 0.000 2.526 0.000
z 0.000 0.000 -10.577
Polar
3z2-r2-21.155
x2-y23.684
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.274 0.000 0.000
y 0.000 2.999 0.000
z 0.000 0.000 12.499


<r2> (average value of r2) Å2
<r2> 66.935
(<r2>)1/2 8.181