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

using model chemistry: wB97X-D/CEP-121G*

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/CEP-121G*
 hartrees
Energy at 0K-22.279994
Energy at 298.15K 
HF Energy-22.279994
Nuclear repulsion energy28.032686
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/CEP-121G*
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 2130 2130 0.00 146.48 0.37 0.54
2 Σg 932 932 0.00 143.39 0.32 0.49
3 Σu 1569 1569 261.61 0.00 0.00 0.00
4 Πg 553 553 0.00 1.65 0.75 0.86
4 Πg 553 553 0.00 1.65 0.75 0.86
5 Πu 250 250 20.65 0.00 0.00 0.00
5 Πu 250 250 20.65 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 3118.8 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 3118.8 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/CEP-121G*
B
0.16413

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/CEP-121G*

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 1.964
C4 0.000 0.000 -1.964

Atom - Atom Distances (Å)
  C1 C2 C3 C4
C11.29811.31522.6133
C21.29812.61331.3152
C31.31522.61333.9285
C42.61331.31523.9285

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/CEP-121G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.485      
2 C 0.485      
3 C -0.485      
4 C -0.485      


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 -21.674 0.000 0.000
y 0.000 -21.674 0.000
z 0.000 0.000 -32.777
Traceless
 xyz
x 5.551 0.000 0.000
y 0.000 5.551 0.000
z 0.000 0.000 -11.103
Polar
3z2-r2-22.206
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 3.591 0.000 0.000
y 0.000 3.591 0.000
z 0.000 0.000 14.050


<r2> (average value of r2) Å2
<r2> 50.086
(<r2>)1/2 7.077

State 2 (1Σ)

Jump to S1C1
Energy calculated at wB97X-D/CEP-121G*
 hartrees
Energy at 0K-22.251827
Energy at 298.15K 
HF Energy-22.251827
Nuclear repulsion energy27.993584
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/CEP-121G*
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 2134 2134 0.00 85.25 0.37 0.54
2 Σg 935 935 0.00 101.37 0.30 0.47
3 Σu 1589 1589 454.76 0.00 0.00 0.00
4 Πg 584 584 0.00 9.30 0.75 0.86
4 Πg 545 545 0.00 4.34 0.75 0.86
5 Πu 266 266 29.70 0.00 0.00 0.00
5 Πu 243 243 5.34 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 3147.4 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 3147.4 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 wB97X-D/CEP-121G*
B
0.16365

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/CEP-121G*

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 1.967
C4 0.000 0.000 -1.967

Atom - Atom Distances (Å)
  C1 C2 C3 C4
C11.30161.31602.6176
C21.30162.61761.3160
C31.31602.61763.9337
C42.61761.31603.9337

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/CEP-121G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.494      
2 C 0.494      
3 C -0.494      
4 C -0.494      


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 -23.644 0.000 0.000
y 0.000 -19.910 0.000
z 0.000 0.000 -32.435
Traceless
 xyz
x 2.528 0.000 0.000
y 0.000 8.130 0.000
z 0.000 0.000 -10.658
Polar
3z2-r2-21.317
x2-y2-3.734
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.279 0.000 0.000
y 0.000 3.394 0.000
z 0.000 0.000 13.449


<r2> (average value of r2) Å2
<r2> 50.156
(<r2>)1/2 7.082