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: B3PW91/aug-cc-pVTZ

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/aug-cc-pVTZ
 hartrees
Energy at 0K-152.067653
Energy at 298.15K 
HF Energy-152.067653
Nuclear repulsion energy63.535979
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/aug-cc-pVTZ
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 2129 2054 0.00 63.42 0.56 0.72
2 Σg 940 907 0.00 100.86 0.31 0.48
3 Σu 1588 1532 326.39 0.00 0.00 0.00
4 Πg 354 341 0.00 23.68 0.75 0.86
4 Πg 354 341 0.00 23.68 0.75 0.86
5 Πu 168 162 26.59 0.00 0.00 0.00
5 Πu 168 162 26.59 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 2849.9 cm-1
Scaled (by 0.9651) Zero Point Vibrational Energy (zpe) 2750.5 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 B3PW91/aug-cc-pVTZ
B
0.16657

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/aug-cc-pVTZ

Point Group is D∞h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.643
C2 0.000 0.000 -0.643
C3 0.000 0.000 1.950
C4 0.000 0.000 -1.950

Atom - Atom Distances (Å)
  C1 C2 C3 C4
C11.28591.30732.5932
C21.28592.59321.3073
C31.30732.59323.9005
C42.59321.30733.9005

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/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.677      
2 C 0.677      
3 C -0.677      
4 C -0.677      


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 -21.992 0.000 0.000
y 0.000 -21.992 0.000
z 0.000 0.000 -33.233
Traceless
 xyz
x 5.620 0.000 0.000
y 0.000 5.620 0.000
z 0.000 0.000 -11.240
Polar
3z2-r2-22.481
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 4.761 0.000 0.000
y 0.000 4.761 0.000
z 0.000 0.000 13.644


<r2> (average value of r2) Å2
<r2> 66.679
(<r2>)1/2 8.166

State 2 (1Σ)

Jump to S1C1
Energy calculated at B3PW91/aug-cc-pVTZ
 hartrees
Energy at 0K-152.035842
Energy at 298.15K 
HF Energy-152.035842
Nuclear repulsion energy63.446051
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/aug-cc-pVTZ
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 2131 2056 0.00 93.32 0.35 0.51
2 Σg 937 904 0.00 87.59 0.24 0.39
3 Σu 1600 1544 408.56 0.00 0.00 0.00
4 Πg 475 458 0.00 0.20 0.75 0.86
4 Πg 256 247 0.00 19.65 0.75 0.86
5 Πu 208 201 7.68 0.00 0.00 0.00
5 Πu 137 132 38.33 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 2871.2 cm-1
Scaled (by 0.9651) Zero Point Vibrational Energy (zpe) 2771.0 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 B3PW91/aug-cc-pVTZ
B
0.16607

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/aug-cc-pVTZ

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
C11.29031.30762.5979
C21.29032.59791.3076
C31.30762.59793.9055
C42.59791.30763.9055

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/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.654      
2 C 0.654      
3 C -0.654      
4 C -0.654      


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 -23.863 0.000 0.000
y 0.000 -20.338 0.000
z 0.000 0.000 -33.024
Traceless
 xyz
x 2.817 0.000 0.000
y 0.000 8.106 0.000
z 0.000 0.000 -10.923
Polar
3z2-r2-21.846
x2-y2-3.526
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.557 0.000 0.000
y 0.000 4.601 0.000
z 0.000 0.000 13.230


<r2> (average value of r2) Å2
<r2> 66.831
(<r2>)1/2 8.175