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All results from a given calculation for C3 (carbon trimer)

using model chemistry: B3LYP/aug-cc-pVDZ

19 10 17 12 22

States and conformations

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

Conformer 1 (D*H)

Jump to S1C2
Energy calculated at B3LYP/aug-cc-pVDZ
 hartrees
Energy at 0K-114.061561
Energy at 298.15K 
HF Energy-114.061561
Nuclear repulsion energy36.603899
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 B3LYP/aug-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 1237 1200 0.00      
2 Σu 2145 2082 866.75      
3 Πu 118i 115i 16.37      
3 Πu 118i 115i 16.37      

Unscaled Zero Point Vibrational Energy (zpe) 1572.6 cm-1
Scaled (by 0.9704) Zero Point Vibrational Energy (zpe) 1526.1 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 B3LYP/aug-cc-pVDZ
B
0.41491

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/aug-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
C11.30111.3011
C21.30112.6022
C31.30112.6022

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 B3LYP/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.809      
2 C -0.404      
3 C -0.404      


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 -16.706 0.000 0.000
y 0.000 -16.706 0.000
z 0.000 0.000 -22.877
Traceless
 xyz
x 3.085 0.000 0.000
y 0.000 3.085 0.000
z 0.000 0.000 -6.170
Polar
3z2-r2-12.340
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 3.736 0.000 0.000
y 0.000 3.736 0.000
z 0.000 0.000 7.570


<r2> (average value of r2) Å2
<r2> 32.034
(<r2>)1/2 5.660

Conformer 2 (C2V)

Jump to S1C1
Energy calculated at B3LYP/aug-cc-pVDZ
 hartrees
Energy at 0K-114.061668
Energy at 298.15K 
HF Energy-114.061668
Nuclear repulsion energy36.682721
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 B3LYP/aug-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 1260 1222 0.81      
2 A1 121 117 13.15      
3 B2 2131 2068 822.16      

Unscaled Zero Point Vibrational Energy (zpe) 1755.8 cm-1
Scaled (by 0.9704) Zero Point Vibrational Energy (zpe) 1703.9 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 B3LYP/aug-cc-pVDZ
ABC
60.23829 0.42371 0.42075

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/aug-cc-pVDZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.125
C2 0.000 1.288 -0.062
C3 0.000 -1.288 -0.062

Atom - Atom Distances (Å)
  C1 C2 C3
C11.30101.3010
C21.30102.5751
C31.30102.5751

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 163.470
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.919      
2 C -0.459      
3 C -0.459      


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 0.321 0.321
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -16.703 0.000 0.000
y 0.000 -22.670 0.000
z 0.000 0.000 -16.799
Traceless
 xyz
x 3.031 0.000 0.000
y 0.000 -5.918 0.000
z 0.000 0.000 2.887
Polar
3z2-r25.774
x2-y25.966
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.730 0.000 0.000
y 0.000 7.538 0.000
z 0.000 0.000 3.747


<r2> (average value of r2) Å2
<r2> 31.727
(<r2>)1/2 5.633