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 C3 (carbon trimer)

using model chemistry: wB97X-D/6-31G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D*H 1Σg
1 2 no C2V 1A1

Conformer 1 (D*H)

Jump to S1C2
Energy calculated at wB97X-D/6-31G*
 hartrees
Energy at 0K-113.990213
Energy at 298.15K-113.986794
HF Energy-113.990213
Nuclear repulsion energy36.832511
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/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 1269 1203 0.00      
2 Σu 2192 2079 824.84      
3 Πu 165 157 9.23      
3 Πu 165 157 9.23      

Unscaled Zero Point Vibrational Energy (zpe) 1895.3 cm-1
Scaled (by 0.9485) Zero Point Vibrational Energy (zpe) 1797.7 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/6-31G*
B
0.41995

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/6-31G*

Point Group is D∞h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.000
C2 0.000 0.000 1.293
C3 0.000 0.000 -1.293

Atom - Atom Distances (Å)
  C1 C2 C3
C11.29331.2933
C21.29332.5866
C31.29332.5866

picture of carbon trimer state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C2 C1 C3 180.000
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.042      
2 C 0.021      
3 C 0.021      


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 -15.851 0.000 0.000
y 0.000 -15.851 0.000
z 0.000 0.000 -21.689
Traceless
 xyz
x 2.919 0.000 0.000
y 0.000 2.919 0.000
z 0.000 0.000 -5.838
Polar
3z2-r2-11.677
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 2.389 0.000 0.000
y 0.000 2.389 0.000
z 0.000 0.000 6.664


<r2> (average value of r2) Å2
<r2> 31.187
(<r2>)1/2 5.585

Conformer 2 (C2V)

Jump to S1C1
Energy calculated at wB97X-D/6-31G*
 hartrees
Energy at 0K-113.990213
Energy at 298.15K-113.986964
HF Energy-113.990213
Nuclear repulsion energy36.832770
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/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 A1 1269 1204 0.00      
2 A1 163 154 9.25      
3 B2 2193 2080 824.98      
3 Πu 163 154 9.26      

Unscaled Zero Point Vibrational Energy (zpe) 1893.9 cm-1
Scaled (by 0.9485) Zero Point Vibrational Energy (zpe) 1796.4 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/6-31G*
B
0.42010

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/6-31G*

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.116
C2 0.000 1.282 -0.058
C3 0.000 -1.282 -0.058

Atom - Atom Distances (Å)
  C1 C2 C3
C11.29341.2934
C21.29342.5631
C31.29342.5631

picture of carbon trimer state 1 conformation 2
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C2 C1 C3 164.489
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.041      
2 C 0.021      
3 C 0.021      


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 -0.001 0.001
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -15.849 0.000 0.000
y 0.000 -21.690 0.000
z 0.000 0.000 -15.849
Traceless
 xyz
x 2.920 0.000 0.000
y 0.000 -5.841 0.000
z 0.000 0.000 2.920
Polar
3z2-r25.841
x2-y25.841
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.389 0.000 0.000
y 0.000 6.662 0.000
z 0.000 0.000 2.389


<r2> (average value of r2) Å2
<r2> 31.179
(<r2>)1/2 5.584