return to home page Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
You are here: Calculated > Energy > Optimized > Energy

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

using model chemistry: wB97X-D/6-31G(2df,p)

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 wB97X-D/6-31G(2df,p)
 hartrees
Energy at 0K-152.031175
Energy at 298.15K 
HF Energy-152.031175
Nuclear repulsion energy63.519004
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 wB97X-D/6-31G(2df,p)
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 2189 2189 0.00 55.80 0.47 0.64
2 Σg 955 955 0.00 90.39 0.35 0.52
3 Σu 1627 1627 285.76 0.00 0.00 0.00
4 Πg 406 406 0.00 3.27 0.75 0.86
4 Πg 406 406 0.00 3.27 0.75 0.86
5 Πu 194 194 23.78 0.00 0.00 0.00
5 Πu 194 194 23.78 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 2984.8 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 2984.8 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 wB97X-D/6-31G(2df,p)
B
0.16647

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/6-31G(2df,p)

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 1.951
C4 0.000 0.000 -1.951

Atom - Atom Distances (Å)
  C1 C2 C3 C4
C11.28711.30712.5943
C21.28712.59431.3071
C31.30712.59433.9014
C42.59431.30713.9014

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 wB97X-D/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.119      
2 C 0.119      
3 C -0.119      
4 C -0.119      


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 -21.311 0.000 0.000
y 0.000 -21.311 0.000
z 0.000 0.000 -32.232
Traceless
 xyz
x 5.461 0.000 0.000
y 0.000 5.461 0.000
z 0.000 0.000 -10.922
Polar
3z2-r2-21.843
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 3.354 0.000 0.000
y 0.000 3.354 0.000
z 0.000 0.000 12.514


<r2> (average value of r2) Å2
<r2> 66.216
(<r2>)1/2 8.137

State 2 (1Σ)

Jump to S1C1
Energy calculated at wB97X-D/6-31G(2df,p)
 hartrees
Energy at 0K-152.000097
Energy at 298.15K 
HF Energy-152.000097
Nuclear repulsion energy63.447683
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 wB97X-D/6-31G(2df,p)
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 2193 2193 0.00 53.58 0.38 0.55
2 Σg 954 954 0.00 71.91 0.31 0.47
3 Σu 1630 1630 408.50 0.00 0.00 0.00
4 Πg 478 478 0.00 5.12 0.75 0.86
4 Πg 336 336 0.00 8.41 0.75 0.86
5 Πu 211 211 8.47 0.00 0.00 0.00
5 Πu 179 179 33.29 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 2990.0 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 2990.0 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 wB97X-D/6-31G(2df,p)
B
0.16608

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/6-31G(2df,p)

Point Group is D∞h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.645
C2 0.000 0.000 -0.645
C3 0.000 0.000 1.953
C4 0.000 0.000 -1.953

Atom - Atom Distances (Å)
  C1 C2 C3 C4
C11.29061.30742.5980
C21.29062.59801.3074
C31.30742.59803.9053
C42.59801.30743.9053

picture of Carbon tetramer state 2 conformation 1
More geometry information
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.128      
2 C 0.128      
3 C -0.128      
4 C -0.128      


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 -19.660 0.000 0.000
y 0.000 -23.089 0.000
z 0.000 0.000 -31.914
Traceless
 xyz
x 7.842 0.000 0.000
y 0.000 2.698 0.000
z 0.000 0.000 -10.540
Polar
3z2-r2-21.080
x2-y23.429
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.325 0.000 0.000
y 0.000 3.026 0.000
z 0.000 0.000 12.052


<r2> (average value of r2) Å2
<r2> 66.296
(<r2>)1/2 8.142