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All results from a given calculation for C4 (Carbon tetramer)

using model chemistry: TPSSh/aug-cc-pVTZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D*H 3Σg
2 1 yes D*H 1Σ

State 1 (3Σg)

Jump to S2C1
Energy calculated at TPSSh/aug-cc-pVTZ
 hartrees
Energy at 0K-152.153839
Energy at 298.15K 
HF Energy-152.153839
Nuclear repulsion energy63.354353
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 TPSSh/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 2100 2027 0.00 59.03 0.56 0.72
2 Σg 928 896 0.00 100.01 0.32 0.48
3 Σu 1561 1507 316.51 0.00 0.00 0.00
4 Πg 331 319 0.00 28.05 0.75 0.86
4 Πg 331 319 0.00 28.05 0.75 0.86
5 Πu 163 158 26.89 0.00 0.00 0.00
5 Πu 163 158 26.89 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 2788.7 cm-1
Scaled (by 0.9652) Zero Point Vibrational Energy (zpe) 2691.7 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 TPSSh/aug-cc-pVTZ
B
0.16563

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

Point Group is D∞h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.644
C2 0.000 0.000 -0.644
C3 0.000 0.000 1.956
C4 0.000 0.000 -1.956

Atom - Atom Distances (Å)
  C1 C2 C3 C4
C11.28791.31202.6000
C21.28792.60001.3120
C31.31202.60003.9120
C42.60001.31203.9120

picture of Carbon tetramer state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C4 180.000 C2 C1 C3 180.000
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at TPSSh/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.748      
2 C 0.748      
3 C -0.748      
4 C -0.748      


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


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.756 0.000 0.000
y 0.000 4.756 0.000
z 0.000 0.000 13.724


<r2> (average value of r2) Å2
<r2> 66.996
(<r2>)1/2 8.185

State 2 (1Σ)

Jump to S1C1
Energy calculated at TPSSh/aug-cc-pVTZ
 hartrees
Energy at 0K-152.120518
Energy at 298.15K 
HF Energy-152.120518
Nuclear repulsion energy63.256952
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 TPSSh/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 2101 2028 0.00 97.91 0.34 0.51
2 Σg 924 892 0.00 87.13 0.24 0.39
3 Σu 1578 1523 387.35 0.00 0.00 0.00
4 Πg 470 454 0.00 0.16 0.75 0.86
4 Πg 216 208 0.00 20.57 0.75 0.86
5 Πu 207 200 7.41 0.00 0.00 0.00
5 Πu 128 123 38.75 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 2811.5 cm-1
Scaled (by 0.9652) Zero Point Vibrational Energy (zpe) 2713.7 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 TPSSh/aug-cc-pVTZ
B
0.16509

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

Point Group is D∞h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.647
C2 0.000 0.000 -0.647
C3 0.000 0.000 1.959
C4 0.000 0.000 -1.959

Atom - Atom Distances (Å)
  C1 C2 C3 C4
C11.29331.31202.6053
C21.29332.60531.3120
C31.31202.60533.9173
C42.60531.31203.9173

picture of Carbon tetramer state 2 conformation 1
More geometry information
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at TPSSh/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.742      
2 C 0.742      
3 C -0.742      
4 C -0.742      


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


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.580 0.000 0.000
y 0.000 4.580 0.000
z 0.000 0.000 13.325


<r2> (average value of r2) Å2
<r2> 67.173
(<r2>)1/2 8.196