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

using model chemistry: TPSSh/TZVP

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/TZVP
 hartrees
Energy at 0K-152.150218
Energy at 298.15K 
HF Energy-152.150218
Nuclear repulsion energy63.339025
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/TZVP
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 2108 2032 0.00 58.79 0.65 0.79
2 Σg 933 899 0.00 97.99 0.42 0.59
3 Σu 1571 1514 305.07 0.00 0.00 0.00
4 Πg 324 312 0.00 29.76 0.75 0.86
4 Πg 324 312 0.00 29.76 0.75 0.86
5 Πu 157 152 25.37 0.00 0.00 0.00
5 Πu 157 152 25.37 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 2787.3 cm-1
Scaled (by 0.9637) Zero Point Vibrational Energy (zpe) 2686.2 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 TPSSh/TZVP
B
0.16555

See section I.F.4 to change rotational constant units
Geometric Data calculated at TPSSh/TZVP

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
C11.28841.31232.6007
C21.28842.60071.3123
C31.31232.60073.9129
C42.60071.31233.9129

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/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.311      
2 C 0.311      
3 C -0.311      
4 C -0.311      


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 3.820 0.000 0.000
y 0.000 3.820 0.000
z 0.000 0.000 13.543


<r2> (average value of r2) Å2
<r2> 66.995
(<r2>)1/2 8.185

State 2 (1Σ)

Jump to S1C1
Energy calculated at TPSSh/TZVP
 hartrees
Energy at 0K-152.116977
Energy at 298.15K 
HF Energy-152.116977
Nuclear repulsion energy63.234017
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/TZVP
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 2110 2033 0.00 86.91 0.41 0.58
2 Σg 928 894 0.00 81.90 0.32 0.49
3 Σu 1586 1528 377.46 0.00 0.00 0.00
4 Πg 467 450 0.00 0.91 0.75 0.86
4 Πg 231 222 0.00 19.04 0.75 0.86
5 Πu 201 194 6.18 0.00 0.00 0.00
5 Πu 130 125 36.83 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 2826.3 cm-1
Scaled (by 0.9637) Zero Point Vibrational Energy (zpe) 2723.7 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/TZVP
B
0.16497

See section I.F.4 to change rotational constant units
Geometric Data calculated at TPSSh/TZVP

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
C11.29391.31242.6063
C21.29392.60631.3124
C31.31242.60633.9188
C42.60631.31243.9188

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/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.297      
2 C 0.297      
3 C -0.297      
4 C -0.297      


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 3.562 0.000 0.000
y 0.000 3.556 0.000
z 0.000 0.000 13.109


<r2> (average value of r2) Å2
<r2> 67.177
(<r2>)1/2 8.196