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

using model chemistry: B1B95/TZVP

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/TZVP
 hartrees
Energy at 0K-152.069645
Energy at 298.15K 
HF Energy-152.069645
Nuclear repulsion energy63.684887
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/TZVP
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 64.26 0.56 0.72
2 Σg 953 912 0.00 98.30 0.38 0.55
3 Σu 1621 1551 330.48 0.00 0.00 0.00
4 Πg 367 352 0.00 12.33 0.75 0.86
4 Πg 367 352 0.00 12.33 0.75 0.86
5 Πu 166 159 22.64 0.00 0.00 0.00
5 Πu 166 159 22.64 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 2900.6 cm-1
Scaled (by 0.9569) Zero Point Vibrational Energy (zpe) 2775.5 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/TZVP
B
0.16733

See section I.F.4 to change rotational constant units
Geometric Data calculated at B1B95/TZVP

Point Group is D∞h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.642
C2 0.000 0.000 -0.642
C3 0.000 0.000 1.946
C4 0.000 0.000 -1.946

Atom - Atom Distances (Å)
  C1 C2 C3 C4
C11.28461.30322.5878
C21.28462.58781.3032
C31.30322.58783.8910
C42.58781.30323.8910

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/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.239      
2 C 0.239      
3 C -0.239      
4 C -0.239      


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 -21.932 0.000 0.000
y 0.000 -21.932 0.000
z 0.000 0.000 -33.050
Traceless
 xyz
x 5.559 0.000 0.000
y 0.000 5.559 0.000
z 0.000 0.000 -11.119
Polar
3z2-r2-22.237
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 3.747 0.000 0.000
y 0.000 3.747 0.000
z 0.000 0.000 13.362


<r2> (average value of r2) Å2
<r2> 66.384
(<r2>)1/2 8.148

State 2 (1Σ)

Jump to S1C1
Energy calculated at B1B95/TZVP
 hartrees
Energy at 0K-152.039447
Energy at 298.15K 
HF Energy-152.039447
Nuclear repulsion energy63.581908
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/TZVP
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 2163 2070 0.00 85.64 0.40 0.57
2 Σg 949 908 0.00 82.68 0.31 0.48
3 Σu 1625 1555 411.42 0.00 0.00 0.00
4 Πg 472 451 0.00 1.12 0.75 0.86
4 Πg 289 276 0.00 15.89 0.75 0.86
5 Πu 201 192 5.76 0.00 0.00 0.00
5 Πu 142 136 34.72 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 2920.1 cm-1
Scaled (by 0.9569) Zero Point Vibrational Energy (zpe) 2794.2 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/TZVP
B
0.16678

See section I.F.4 to change rotational constant units
Geometric Data calculated at B1B95/TZVP

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 1.948
C4 0.000 0.000 -1.948

Atom - Atom Distances (Å)
  C1 C2 C3 C4
C11.28841.30432.5927
C21.28842.59271.3043
C31.30432.59273.8970
C42.59271.30433.8970

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/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.232      
2 C 0.232      
3 C -0.232      
4 C -0.232      


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 -23.901 0.000 0.000
y 0.000 -20.175 0.000
z 0.000 0.000 -32.826
Traceless
 xyz
x 2.599 0.000 0.000
y 0.000 8.189 0.000
z 0.000 0.000 -10.788
Polar
3z2-r2-21.576
x2-y2-3.726
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.529 0.000 0.000
y 0.000 3.567 0.000
z 0.000 0.000 12.962


<r2> (average value of r2) Å2
<r2> 66.550
(<r2>)1/2 8.158