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: B97D3/6-31G*

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 B97D3/6-31G*
 hartrees
Energy at 0K-151.990960
Energy at 298.15K 
HF Energy-151.990960
Nuclear repulsion energy62.667949
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 B97D3/6-31G*
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 2056 2016 0.00 51.40 0.67 0.80
2 Σg 910 892 0.00 77.19 0.44 0.61
3 Σu 1547 1517 252.73 0.00 0.00 0.00
4 Πg 292 286 0.00 17.60 0.75 0.86
4 Πg 292 286 0.00 17.60 0.75 0.86
5 Πu 155 152 25.16 0.00 0.00 0.00
5 Πu 155 152 25.16 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 2702.8 cm-1
Scaled (by 0.9804) Zero Point Vibrational Energy (zpe) 2649.8 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 B97D3/6-31G*
B
0.16206

See section I.F.4 to change rotational constant units
Geometric Data calculated at B97D3/6-31G*

Point Group is D∞h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.651
C2 0.000 0.000 -0.651
C3 0.000 0.000 1.977
C4 0.000 0.000 -1.977

Atom - Atom Distances (Å)
  C1 C2 C3 C4
C11.30221.32632.6285
C21.30222.62851.3263
C31.32632.62853.9548
C42.62851.32633.9548

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 B97D3/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.133      
2 C 0.133      
3 C -0.133      
4 C -0.133      


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 -21.184 0.000 0.000
y 0.000 -21.184 0.000
z 0.000 0.000 -32.203
Traceless
 xyz
x 5.510 0.000 0.000
y 0.000 5.510 0.000
z 0.000 0.000 -11.019
Polar
3z2-r2-22.039
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 2.971 0.000 0.000
y 0.000 2.971 0.000
z 0.000 0.000 12.404


<r2> (average value of r2) Å2
<r2> 67.535
(<r2>)1/2 8.218

State 2 (1Σ)

Jump to S1C1
Energy calculated at B97D3/6-31G*
 hartrees
Energy at 0K-151.960203
Energy at 298.15K 
HF Energy-151.960203
Nuclear repulsion energy62.530527
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 B97D3/6-31G*
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 2057 2016 0.00 58.62 0.43 0.61
2 Σg 905 887 0.00 69.09 0.35 0.52
3 Σu 1547 1516 319.93 0.00 0.00 0.00
4 Πg 471 462 0.00 7.15 0.75 0.86
4 Πg 35 34 0.00 15.04 0.75 0.86
5 Πu 200 196 8.30 0.00 0.00 0.00
5 Πu 120 117 35.42 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 2666.5 cm-1
Scaled (by 0.9804) Zero Point Vibrational Energy (zpe) 2614.2 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 B97D3/6-31G*
B
0.16134

See section I.F.4 to change rotational constant units
Geometric Data calculated at B97D3/6-31G*

Point Group is D∞h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.653
C2 0.000 0.000 -0.653
C3 0.000 0.000 1.982
C4 0.000 0.000 -1.982

Atom - Atom Distances (Å)
  C1 C2 C3 C4
C11.30651.32842.6349
C21.30652.63491.3284
C31.32842.63493.9632
C42.63491.32843.9632

picture of Carbon tetramer state 2 conformation 1
More geometry information
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B97D3/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.127      
2 C 0.127      
3 C -0.127      
4 C -0.127      


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 -19.480 0.000 0.000
y 0.000 -23.022 0.000
z 0.000 0.000 -32.014
Traceless
 xyz
x 8.037 0.000 0.000
y 0.000 2.725 0.000
z 0.000 0.000 -10.762
Polar
3z2-r2-21.525
x2-y23.542
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.971 0.000 0.000
y 0.000 2.971 0.000
z 0.000 0.000 12.404


<r2> (average value of r2) Å2
<r2> 67.756
(<r2>)1/2 8.231