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

using model chemistry: B97D3/aug-cc-pVQZ

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 B97D3/aug-cc-pVQZ
 hartrees
Energy at 0K-152.052162
Energy at 298.15K 
HF Energy-152.052162
Nuclear repulsion energy63.140236
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 B97D3/aug-cc-pVQZ
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 2049 2049 0.00 67.15 0.66 0.79
2 Σg 909 909 0.00 92.58 0.35 0.52
3 Σu 1545 1545 313.66 0.00 0.00 0.00
4 Πg 295 295 0.00 41.59 0.75 0.86
4 Πg 295 295 0.00 41.59 0.75 0.86
5 Πu 152 152 27.95 0.00 0.00 0.00
5 Πu 152 152 27.95 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 2698.3 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 2698.3 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 B97D3/aug-cc-pVQZ
B
0.16450

See section I.F.4 to change rotational constant units
Geometric Data calculated at B97D3/aug-cc-pVQZ

Point Group is D∞h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.647
C2 0.000 0.000 -0.647
C3 0.000 0.000 1.963
C4 0.000 0.000 -1.963

Atom - Atom Distances (Å)
  C1 C2 C3 C4
C11.29361.31572.6093
C21.29362.60931.3157
C31.31572.60933.9250
C42.60931.31573.9250

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 B97D3/aug-cc-pVQZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.107      
2 C 0.107      
3 C -0.107      
4 C -0.107      


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 -22.046 0.000 0.000
y 0.000 -22.046 0.000
z 0.000 0.000 -33.525
Traceless
 xyz
x 5.739 0.000 0.000
y 0.000 5.739 0.000
z 0.000 0.000 -11.478
Polar
3z2-r2-22.956
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 4.907 0.000 0.000
y 0.000 4.907 0.000
z 0.000 0.000 13.826


<r2> (average value of r2) Å2
<r2> 67.397
(<r2>)1/2 8.210

State 2 (1Σ)

Jump to S1C1
Energy calculated at B97D3/aug-cc-pVQZ
 hartrees
Energy at 0K-152.021079
Energy at 298.15K 
HF Energy-152.021079
Nuclear repulsion energy62.998145
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 B97D3/aug-cc-pVQZ
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 2046 2046 0.00 100.93 0.38 0.55
2 Σg 903 903 0.00 87.39 0.25 0.41
3 Σu 1540 1540 372.46 0.00 0.00 0.00
4 Πg 453 453 0.00 0.06 0.75 0.86
4 Πg 62i 62i 0.00 33.53 0.75 0.86
5 Πu 198 198 7.87 0.00 0.00 0.00
5 Πu 101 101 40.79 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 2589.4 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 2589.4 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 B97D3/aug-cc-pVQZ
B
0.16375

See section I.F.4 to change rotational constant units
Geometric Data calculated at B97D3/aug-cc-pVQZ

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 1.967
C4 0.000 0.000 -1.967

Atom - Atom Distances (Å)
  C1 C2 C3 C4
C11.29771.31792.6157
C21.29772.61571.3179
C31.31792.61573.9336
C42.61571.31793.9336

picture of Carbon tetramer state 2 conformation 1
More geometry information
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B97D3/aug-cc-pVQZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.082      
2 C 0.082      
3 C -0.082      
4 C -0.082      


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 -23.933 0.000 0.000
y 0.000 -20.407 0.000
z 0.000 0.000 -33.393
Traceless
 xyz
x 2.968 0.000 0.000
y 0.000 8.256 0.000
z 0.000 0.000 -11.223
Polar
3z2-r2-22.447
x2-y2-3.525
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.907 0.000 0.000
y 0.000 4.907 0.000
z 0.000 0.000 13.826


<r2> (average value of r2) Å2
<r2> 67.656
(<r2>)1/2 8.225