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

using model chemistry: B3PW91/6-31G

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 B3PW91/6-31G
 hartrees
Energy at 0K-151.976734
Energy at 298.15K 
HF Energy-151.976734
Nuclear repulsion energy62.768453
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 B3PW91/6-31G
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 2142 2051 0.00      
2 Σg 926 887 0.00      
3 Σu 1541 1475 256.03      
4 Πg 272 261 0.00      
4 Πg 272 261 0.00      
5 Πu 143 137 20.75      
5 Πu 143 137 20.75      

Unscaled Zero Point Vibrational Energy (zpe) 2718.9 cm-1
Scaled (by 0.9577) Zero Point Vibrational Energy (zpe) 2603.9 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 B3PW91/6-31G
B
0.16264

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/6-31G

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 1.975
C4 0.000 0.000 -1.975

Atom - Atom Distances (Å)
  C1 C2 C3 C4
C11.29311.32852.6216
C21.29312.62161.3285
C31.32852.62163.9501
C42.62161.32853.9501

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 B3PW91/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.098      
2 C -0.098      
3 C 0.098      
4 C 0.098      


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 -21.366 0.000 0.000
y 0.000 -21.366 0.000
z 0.000 0.000 -32.752
Traceless
 xyz
x 5.693 0.000 0.000
y 0.000 5.693 0.000
z 0.000 0.000 -11.387
Polar
3z2-r2-22.773
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 2.964 0.000 0.000
y 0.000 2.964 0.000
z 0.000 0.000 12.618


<r2> (average value of r2) Å2
<r2> 67.541
(<r2>)1/2 8.218

State 2 (1Σ)

Jump to S1C1
Energy calculated at B3PW91/6-31G
 hartrees
Energy at 0K-151.946494
Energy at 298.15K 
HF Energy-151.946494
Nuclear repulsion energy62.693434
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 B3PW91/6-31G
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 2148 2058 0.00      
2 Σg 925 886 0.00      
3 Σu 1562 1496 344.92      
4 Πg 438 420 0.00      
4 Πg 232 222 0.00      
5 Πu 162 155 5.07      
5 Πu 162 155 28.16      

Unscaled Zero Point Vibrational Energy (zpe) 2815.0 cm-1
Scaled (by 0.9577) Zero Point Vibrational Energy (zpe) 2695.9 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 B3PW91/6-31G
B
0.16223

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/6-31G

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 1.977
C4 0.000 0.000 -1.977

Atom - Atom Distances (Å)
  C1 C2 C3 C4
C11.29791.32812.6260
C21.29792.62601.3281
C31.32812.62603.9541
C42.62601.32813.9541

picture of Carbon tetramer state 2 conformation 1
More geometry information
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.095      
2 C -0.095      
3 C 0.095      
4 C 0.095      


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 -23.268 0.000 0.000
y 0.000 -19.559 0.000
z 0.000 0.000 -32.431
Traceless
 xyz
x 2.727 0.000 0.000
y 0.000 8.290 0.000
z 0.000 0.000 -11.017
Polar
3z2-r2-22.034
x2-y2-3.709
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.503 0.000 0.000
y 0.000 2.821 0.000
z 0.000 0.000 12.029


<r2> (average value of r2) Å2
<r2> 67.626
(<r2>)1/2 8.223