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

using model chemistry: mPW1PW91/aug-cc-pVTZ

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 mPW1PW91/aug-cc-pVTZ
 hartrees
Energy at 0K-114.038326
Energy at 298.15K 
HF Energy-114.038326
Nuclear repulsion energy37.012415
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 mPW1PW91/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 1248 1196 0.00      
2 Σu 2159 2069 930.15      
3 Πu 60 57 17.40      
3 Πu 60 57 17.40      

Unscaled Zero Point Vibrational Energy (zpe) 1763.5 cm-1
Scaled (by 0.9581) Zero Point Vibrational Energy (zpe) 1689.6 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 mPW1PW91/aug-cc-pVTZ
B
0.42422

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/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 1.287
C3 0.000 0.000 -1.287

Atom - Atom Distances (Å)
  C1 C2 C3
C11.28681.2868
C21.28682.5735
C31.28682.5735

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 mPW1PW91/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.751      
2 C -0.375      
3 C -0.375      


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 -16.517 0.000 0.000
y 0.000 -16.517 0.000
z 0.000 0.000 -22.556
Traceless
 xyz
x 3.020 0.000 0.000
y 0.000 3.020 0.000
z 0.000 0.000 -6.040
Polar
3z2-r2-12.079
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 3.727 0.000 0.000
y 0.000 3.727 0.000
z 0.000 0.000 7.388


<r2> (average value of r2) Å2
<r2> 31.442
(<r2>)1/2 5.607

Conformer 2 (C2V)

Jump to S1C1
Energy calculated at mPW1PW91/aug-cc-pVTZ
 hartrees
Energy at 0K-114.038326
Energy at 298.15K 
HF Energy-114.038326
Nuclear repulsion energy37.012412
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 mPW1PW91/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 1248 1196 0.00      
2 A1 60 57 17.40      
3 B2 2159 2069 930.15      

Unscaled Zero Point Vibrational Energy (zpe) 1733.7 cm-1
Scaled (by 0.9581) Zero Point Vibrational Energy (zpe) 1661.0 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 mPW1PW91/aug-cc-pVTZ
B
0.42422

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/aug-cc-pVTZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 -0.000
C2 0.000 1.287 0.000
C3 0.000 -1.287 0.000

Atom - Atom Distances (Å)
  C1 C2 C3
C11.28681.2868
C21.28682.5735
C31.28682.5735

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 179.981
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.751      
2 C -0.375      
3 C -0.375      


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 -16.517 0.000 0.000
y 0.000 -22.556 0.000
z 0.000 0.000 -16.517
Traceless
 xyz
x 3.020 0.000 0.000
y 0.000 -6.040 0.000
z 0.000 0.000 3.020
Polar
3z2-r26.040
x2-y26.040
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.727 0.000 0.000
y 0.000 7.388 0.000
z 0.000 0.000 3.727


<r2> (average value of r2) Å2
<r2> 31.442
(<r2>)1/2 5.607