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

using model chemistry: wB97X-D/TZVP

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/TZVP
 hartrees
Energy at 0K-152.066314
Energy at 298.15K 
HF Energy-152.066314
Nuclear repulsion energy63.724974
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/TZVP
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 2187 2089 0.00 68.03 0.52 0.69
2 Σg 959 916 0.00 108.37 0.36 0.53
3 Σu 1634 1561 330.05 0.00 0.00 0.00
4 Πg 398 380 0.00 9.44 0.75 0.86
4 Πg 398 380 0.00 9.44 0.75 0.86
5 Πu 179 171 21.66 0.00 0.00 0.00
5 Πu 179 171 21.66 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 2967.0 cm-1
Scaled (by 0.955) Zero Point Vibrational Energy (zpe) 2833.5 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 wB97X-D/TZVP
B
0.16754

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/TZVP

Point Group is D∞h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.642
C2 0.000 0.000 -0.642
C3 0.000 0.000 1.944
C4 0.000 0.000 -1.944

Atom - Atom Distances (Å)
  C1 C2 C3 C4
C11.28471.30182.5866
C21.28472.58661.3018
C31.30182.58663.8884
C42.58661.30183.8884

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/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.202      
2 C 0.202      
3 C -0.202      
4 C -0.202      


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 -21.976 0.000 0.000
y 0.000 -21.976 0.000
z 0.000 0.000 -33.207
Traceless
 xyz
x 5.615 0.000 0.000
y 0.000 5.615 0.000
z 0.000 0.000 -11.231
Polar
3z2-r2-22.461
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 3.855 0.000 0.000
y 0.000 3.855 0.000
z 0.000 0.000 13.594


<r2> (average value of r2) Å2
<r2> 66.375
(<r2>)1/2 8.147

State 2 (1Σ)

Jump to S1C1
Energy calculated at wB97X-D/TZVP
 hartrees
Energy at 0K-152.035676
Energy at 298.15K 
HF Energy-152.035676
Nuclear repulsion energy63.626381
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/TZVP
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 2187 2088 0.00 80.00 0.38 0.56
2 Σg 956 913 0.00 85.63 0.31 0.47
3 Σu 1632 1558 446.71 0.00 0.00 0.00
4 Πg 467 446 0.00 1.62 0.75 0.86
4 Πg 347 331 0.00 13.23 0.75 0.86
5 Πu 196 187 5.33 0.00 0.00 0.00
5 Πu 170 162 31.99 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 2976.6 cm-1
Scaled (by 0.955) Zero Point Vibrational Energy (zpe) 2842.7 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/TZVP
B
0.16700

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/TZVP

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 1.947
C4 0.000 0.000 -1.947

Atom - Atom Distances (Å)
  C1 C2 C3 C4
C11.28841.30282.5913
C21.28842.59131.3028
C31.30282.59133.8941
C42.59131.30283.8941

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/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.205      
2 C 0.205      
3 C -0.205      
4 C -0.205      


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 -20.213 0.000 0.000
y 0.000 -23.966 0.000
z 0.000 0.000 -32.880
Traceless
 xyz
x 8.210 0.000 0.000
y 0.000 2.580 0.000
z 0.000 0.000 -10.790
Polar
3z2-r2-21.580
x2-y23.753
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.635 0.000 0.000
y 0.000 3.559 0.000
z 0.000 0.000 13.102


<r2> (average value of r2) Å2
<r2> 66.515
(<r2>)1/2 8.156