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

using model chemistry: B97D3/aug-cc-pVQZ

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 B97D3/aug-cc-pVQZ
 hartrees
Energy at 0K-114.014247
Energy at 298.15K 
HF Energy-114.014247
Nuclear repulsion energy36.668212
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 B97D3/aug-cc-pVQZ
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 1189 1189 0.00      
2 Σu 2067 2067 790.00      
3 Πu 19i 19i 20.87      
3 Πu 19i 19i 20.87      

Unscaled Zero Point Vibrational Energy (zpe) 1609.1 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 1609.1 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 B97D3/aug-cc-pVQZ
B
0.41637

See section I.F.4 to change rotational constant units
Geometric Data calculated at B97D3/aug-cc-pVQZ

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 1.299
C3 0.000 0.000 -1.299

Atom - Atom Distances (Å)
  C1 C2 C3
C11.29881.2988
C21.29882.5977
C31.29882.5977

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 B97D3/aug-cc-pVQZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.044      
2 C 0.022      
3 C 0.022      


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 -16.546 0.000 0.000
y 0.000 -16.546 0.000
z 0.000 0.000 -22.900
Traceless
 xyz
x 3.177 0.000 0.000
y 0.000 3.177 0.000
z 0.000 0.000 -6.353
Polar
3z2-r2-12.707
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 3.854 0.000 0.000
y 0.000 3.854 0.000
z 0.000 0.000 7.599


<r2> (average value of r2) Å2
<r2> 31.901
(<r2>)1/2 5.648

Conformer 2 (C2V)

Jump to S1C1
Energy calculated at B97D3/aug-cc-pVQZ
 hartrees
Energy at 0K-114.014253
Energy at 298.15K 
HF Energy-114.014253
Nuclear repulsion energy36.713601
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 B97D3/aug-cc-pVQZ
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 1204 1204 0.40      
2 A1 52 52 17.50      
3 B2 2057 2057 757.03      

Unscaled Zero Point Vibrational Energy (zpe) 1656.6 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 1656.6 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 B97D3/aug-cc-pVQZ
ABC
91.55554 0.42201 0.42007

See section I.F.4 to change rotational constant units
Geometric Data calculated at B97D3/aug-cc-pVQZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.101
C2 0.000 1.290 -0.051
C3 0.000 -1.290 -0.051

Atom - Atom Distances (Å)
  C1 C2 C3
C11.29901.2990
C21.29902.5803
C31.29902.5803

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 166.587
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B97D3/aug-cc-pVQZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.044      
2 C 0.022      
3 C 0.022      


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 0.295 0.295
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -16.547 0.000 0.000
y 0.000 -22.732 0.000
z 0.000 0.000 -16.609
Traceless
 xyz
x 3.123 0.000 0.000
y 0.000 -6.154 0.000
z 0.000 0.000 3.030
Polar
3z2-r26.061
x2-y26.185
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.843 0.000 0.000
y 0.000 7.597 0.000
z 0.000 0.000 3.847


<r2> (average value of r2) Å2
<r2> 31.701
(<r2>)1/2 5.630