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: B3LYPultrafine/cc-pVDZ

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 B3LYPultrafine/cc-pVDZ
 hartrees
Energy at 0K-114.056610
Energy at 298.15K 
HF Energy-114.056610
Nuclear repulsion energy36.608561
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 B3LYPultrafine/cc-pVDZ
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 1242 1204 0.00      
2 Σu 2158 2093 771.55      
3 Πu 168 163 16.79      
3 Πu 168 163 16.79      

Unscaled Zero Point Vibrational Energy (zpe) 1867.7 cm-1
Scaled (by 0.97) Zero Point Vibrational Energy (zpe) 1811.7 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 B3LYPultrafine/cc-pVDZ
B
0.41501

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYPultrafine/cc-pVDZ

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 1.301
C3 0.000 0.000 -1.301

Atom - Atom Distances (Å)
  C1 C2 C3
C11.30101.3010
C21.30102.6019
C31.30102.6019

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 B3LYPultrafine/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.106      
2 C -0.053      
3 C -0.053      


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 -16.213 0.000 0.000
y 0.000 -16.213 0.000
z 0.000 0.000 -22.477
Traceless
 xyz
x 3.132 0.000 0.000
y 0.000 3.132 0.000
z 0.000 0.000 -6.264
Polar
3z2-r2-12.528
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 2.571 0.000 0.000
y 0.000 2.571 0.000
z 0.000 0.000 6.915


<r2> (average value of r2) Å2
<r2> 31.740
(<r2>)1/2 5.634

Conformer 2 (C2V)

Jump to S1C1
Energy calculated at B3LYPultrafine/cc-pVDZ
 hartrees
Energy at 0K-114.056610
Energy at 298.15K 
HF Energy-114.056610
Nuclear repulsion energy36.608760
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 B3LYPultrafine/cc-pVDZ
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 1242 1204 0.00      
2 A1 168 163 16.79      
3 B2 2158 2093 771.56      

Unscaled Zero Point Vibrational Energy (zpe) 1783.7 cm-1
Scaled (by 0.97) Zero Point Vibrational Energy (zpe) 1730.2 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 B3LYPultrafine/cc-pVDZ
B
0.41502

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYPultrafine/cc-pVDZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.001
C2 0.000 1.301 -0.000
C3 0.000 -1.301 -0.000

Atom - Atom Distances (Å)
  C1 C2 C3
C11.30091.3009
C21.30092.6019
C31.30092.6019

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 179.918
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYPultrafine/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.106      
2 C -0.053      
3 C -0.053      


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 0.002 0.002
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -16.213 0.000 0.000
y 0.000 -22.477 0.000
z 0.000 0.000 -16.213
Traceless
 xyz
x 3.132 0.000 0.000
y 0.000 -6.264 0.000
z 0.000 0.000 3.132
Polar
3z2-r26.264
x2-y26.264
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 2.571 0.000 0.000
y 0.000 6.915 0.000
z 0.000 0.000 2.571


<r2> (average value of r2) Å2
<r2> 31.740
(<r2>)1/2 5.634