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

using model chemistry: B97D3/STO-3G

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/STO-3G
 hartrees
Energy at 0K-150.107576
Energy at 298.15K 
HF Energy-150.107576
Nuclear repulsion energy61.234497
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/STO-3G
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 2005 2005 0.00 22.88 0.58 0.74
2 Σg 908 908 0.00 45.30 0.42 0.59
3 Σu 1468 1468 398.07 0.00 0.00 0.00
4 Πg 228i 228i 0.00 21.62 0.75 0.86
4 Πg 228i 228i 0.00 21.62 0.75 0.86
5 Πu 89 89 11.94 0.00 0.00 0.00
5 Πu 89 89 11.94 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 2050.9 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 2050.9 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 B97D3/STO-3G
B
0.15483

See section I.F.4 to change rotational constant units
Geometric Data calculated at B97D3/STO-3G

Point Group is D∞h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.660
C2 0.000 0.000 -0.660
C3 0.000 0.000 2.025
C4 0.000 0.000 -2.025

Atom - Atom Distances (Å)
  C1 C2 C3 C4
C11.31901.36582.6848
C21.31902.68481.3658
C31.36582.68484.0505
C42.68481.36584.0505

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/STO-3G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.043      
2 C -0.043      
3 C 0.043      
4 C 0.043      


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 -19.148 0.000 0.000
y 0.000 -19.148 0.000
z 0.000 0.000 -28.180
Traceless
 xyz
x 4.516 0.000 0.000
y 0.000 4.516 0.000
z 0.000 0.000 -9.032
Polar
3z2-r2-18.064
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 1.493 0.000 0.000
y 0.000 1.493 0.000
z 0.000 0.000 8.535


<r2> (average value of r2) Å2
<r2> 68.280
(<r2>)1/2 8.263

State 2 (1Σ)

Jump to S1C1
Energy calculated at B97D3/STO-3G
 hartrees
Energy at 0K-150.075360
Energy at 298.15K 
HF Energy-150.075360
Nuclear repulsion energy61.170987
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/STO-3G
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 2022 2022 0.00 19.37 0.37 0.54
2 Σg 907 907 0.00 41.08 0.32 0.48
3 Σu 1504 1504 487.22 0.00 0.00 0.00
4 Πg 474 474 0.00 2.40 0.75 0.86
4 Πg 310i 310i 0.00 11.07 0.75 0.86
5 Πu 185 185 3.03 0.00 0.00 0.00
5 Πu 21 21 14.54 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 2401.5 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 2401.5 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 B97D3/STO-3G
B
0.15447

See section I.F.4 to change rotational constant units
Geometric Data calculated at B97D3/STO-3G

Point Group is D∞h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.663
C2 0.000 0.000 -0.663
C3 0.000 0.000 2.027
C4 0.000 0.000 -2.027

Atom - Atom Distances (Å)
  C1 C2 C3 C4
C11.32611.36372.6898
C21.32612.68981.3637
C31.36372.68984.0534
C42.68981.36374.0534

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/STO-3G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.048      
2 C -0.048      
3 C 0.048      
4 C 0.048      


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 -20.564 0.000 0.000
y 0.000 -17.735 0.000
z 0.000 0.000 -27.936
Traceless
 xyz
x 2.272 0.000 0.000
y 0.000 6.514 0.000
z 0.000 0.000 -8.786
Polar
3z2-r2-17.572
x2-y2-2.828
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 1.493 0.000 0.000
y 0.000 1.493 0.000
z 0.000 0.000 8.535


<r2> (average value of r2) Å2
<r2> 68.356
(<r2>)1/2 8.268