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: B3PW91/6-311+G(3df,2p)

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 B3PW91/6-311+G(3df,2p)
 hartrees
Energy at 0K-114.020019
Energy at 298.15K 
HF Energy-114.020019
Nuclear repulsion energy36.962180
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 B3PW91/6-311+G(3df,2p)
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 1239 1187 0.00      
2 Σu 2144 2052 893.25      
3 Πu 60 57 19.16      
3 Πu 60 57 19.16      

Unscaled Zero Point Vibrational Energy (zpe) 1751.2 cm-1
Scaled (by 0.9573) Zero Point Vibrational Energy (zpe) 1676.4 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 B3PW91/6-311+G(3df,2p)
B
0.42307

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/6-311+G(3df,2p)

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 1.289
C3 0.000 0.000 -1.289

Atom - Atom Distances (Å)
  C1 C2 C3
C11.28851.2885
C21.28852.5770
C31.28852.5770

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 B3PW91/6-311+G(3df,2p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 1.017      
2 C -0.508      
3 C -0.508      


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 -16.527 0.000 0.000
y 0.000 -16.527 0.000
z 0.000 0.000 -22.605
Traceless
 xyz
x 3.039 0.000 0.000
y 0.000 3.039 0.000
z 0.000 0.000 -6.078
Polar
3z2-r2-12.156
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 3.712 0.000 0.000
y 0.000 3.712 0.000
z 0.000 0.000 7.417


<r2> (average value of r2) Å2
<r2> 31.511
(<r2>)1/2 5.613

Conformer 2 (C2V)

Jump to S1C1
Energy calculated at B3PW91/6-311+G(3df,2p)
 hartrees
Energy at 0K-114.020019
Energy at 298.15K 
HF Energy-114.020019
Nuclear repulsion energy36.961708
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 B3PW91/6-311+G(3df,2p)
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 1239 1186 0.00      
2 A1 60 58 19.16      
3 B2 2144 2052 893.24      

Unscaled Zero Point Vibrational Energy (zpe) 1721.6 cm-1
Scaled (by 0.9573) Zero Point Vibrational Energy (zpe) 1648.1 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 B3PW91/6-311+G(3df,2p)
B
0.42306

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/6-311+G(3df,2p)

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 -0.000
C2 0.000 1.289 0.000
C3 0.000 -1.289 0.000

Atom - Atom Distances (Å)
  C1 C2 C3
C11.28851.2885
C21.28852.5770
C31.28852.5770

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 179.967
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/6-311+G(3df,2p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 1.017      
2 C -0.508      
3 C -0.508      


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 -16.528 0.000 0.000
y 0.000 -22.605 0.000
z 0.000 0.000 -16.528
Traceless
 xyz
x 3.039 0.000 0.000
y 0.000 -6.078 0.000
z 0.000 0.000 3.039
Polar
3z2-r26.078
x2-y26.078
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.712 0.000 0.000
y 0.000 7.417 0.000
z 0.000 0.000 3.712


<r2> (average value of r2) Å2
<r2> 31.512
(<r2>)1/2 5.614