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

using model chemistry: PBEPBEultrafine/aug-cc-pVTZ

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 PBEPBEultrafine/aug-cc-pVTZ
 hartrees
Energy at 0K-113.934140
Energy at 298.15K 
HF Energy-113.934140
Nuclear repulsion energy36.608953
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 PBEPBEultrafine/aug-cc-pVTZ
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 1186 1173 0.00      
2 Σu 2067 2044 762.87      
3 Πu 63i 63i 22.89      
3 Πu 63i 63i 22.89      

Unscaled Zero Point Vibrational Energy (zpe) 1563.2 cm-1
Scaled (by 0.9888) Zero Point Vibrational Energy (zpe) 1545.7 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 PBEPBEultrafine/aug-cc-pVTZ
B
0.41502

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

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
C11.30091.3009
C21.30092.6019
C31.30092.6019

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 PBEPBEultrafine/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.574      
2 C -0.287      
3 C -0.287      


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 -16.624 0.000 0.000
y 0.000 -16.624 0.000
z 0.000 0.000 -23.020
Traceless
 xyz
x 3.198 0.000 0.000
y 0.000 3.198 0.000
z 0.000 0.000 -6.396
Polar
3z2-r2-12.792
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 3.853 0.000 0.000
y 0.000 3.853 0.000
z 0.000 0.000 7.595


<r2> (average value of r2) Å2
<r2> 32.024
(<r2>)1/2 5.659

Conformer 2 (C2V)

Jump to S1C1
Energy calculated at PBEPBEultrafine/aug-cc-pVTZ
 hartrees
Energy at 0K-113.934239
Energy at 298.15K 
HF Energy-113.934239
Nuclear repulsion energy36.797462
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 PBEPBEultrafine/aug-cc-pVTZ
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 1244 1230 2.13      
2 A1 81 80 11.14      
3 B2 2027 2004 640.46      

Unscaled Zero Point Vibrational Energy (zpe) 1675.9 cm-1
Scaled (by 0.9888) Zero Point Vibrational Energy (zpe) 1657.2 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 PBEPBEultrafine/aug-cc-pVTZ
ABC
22.66232 0.43862 0.43029

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.203
C2 0.000 1.265 -0.102
C3 0.000 -1.265 -0.102

Atom - Atom Distances (Å)
  C1 C2 C3
C11.30171.3017
C21.30172.5309
C31.30172.5309

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 152.904
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.491      
2 C -0.245      
3 C -0.245      


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 0.579 0.579
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -16.625 0.000 0.000
y 0.000 -22.356 0.000
z 0.000 0.000 -16.862
Traceless
 xyz
x 2.984 0.000 0.000
y 0.000 -5.612 0.000
z 0.000 0.000 2.628
Polar
3z2-r25.256
x2-y25.731
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.808 0.000 0.000
y 0.000 7.569 0.000
z 0.000 0.000 3.829


<r2> (average value of r2) Å2
<r2> 31.215
(<r2>)1/2 5.587