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

using model chemistry: mPW1PW91/STO-3G

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 mPW1PW91/STO-3G
 hartrees
Energy at 0K-150.120093
Energy at 298.15K 
HF Energy-150.120093
Nuclear repulsion energy62.073188
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/STO-3G
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 2139 1880 0.00 29.25 0.58 0.73
2 Σg 964 847 0.00 50.92 0.42 0.60
3 Σu 1553 1365 425.45 0.00 0.00 0.00
4 Πg 229 201 0.00 17.66 0.75 0.86
4 Πg 229 201 0.00 17.66 0.75 0.86
5 Πu 133 117 13.70 0.00 0.00 0.00
5 Πu 133 117 13.70 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 2690.3 cm-1
Scaled (by 0.8789) Zero Point Vibrational Energy (zpe) 2364.5 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/STO-3G
B
0.15909

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/STO-3G

Point Group is D∞h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.652
C2 0.000 0.000 -0.652
C3 0.000 0.000 1.998
C4 0.000 0.000 -1.998

Atom - Atom Distances (Å)
  C1 C2 C3 C4
C11.30321.34612.6493
C21.30322.64931.3461
C31.34612.64933.9953
C42.64931.34613.9953

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 mPW1PW91/STO-3G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.050      
2 C -0.050      
3 C 0.050      
4 C 0.050      


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 -19.094 0.000 0.000
y 0.000 -19.094 0.000
z 0.000 0.000 -28.480
Traceless
 xyz
x 4.693 0.000 0.000
y 0.000 4.693 0.000
z 0.000 0.000 -9.386
Polar
3z2-r2-18.773
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 1.517 0.000 0.000
y 0.000 1.517 0.000
z 0.000 0.000 8.492


<r2> (average value of r2) Å2
<r2> 66.863
(<r2>)1/2 8.177

State 2 (1Σ)

Jump to S1C1
Energy calculated at mPW1PW91/STO-3G
 hartrees
Energy at 0K-150.086360
Energy at 298.15K 
HF Energy-150.086360
Nuclear repulsion energy62.057642
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/STO-3G
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 2159 1898 0.00 19.79 0.36 0.53
2 Σg 966 849 0.00 40.49 0.32 0.48
3 Σu 1597 1404 549.30 0.00 0.00 0.00
4 Πg 515 453 0.00 2.98 0.75 0.86
4 Πg 216 190 0.00 9.29 0.75 0.86
5 Πu 205 180 3.39 0.00 0.00 0.00
5 Πu 125 110 15.81 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 2891.9 cm-1
Scaled (by 0.8789) Zero Point Vibrational Energy (zpe) 2541.7 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 mPW1PW91/STO-3G
B
0.15896

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/STO-3G

Point Group is D∞h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.655
C2 0.000 0.000 -0.655
C3 0.000 0.000 1.997
C4 0.000 0.000 -1.997

Atom - Atom Distances (Å)
  C1 C2 C3 C4
C11.30961.34262.6523
C21.30962.65231.3426
C31.34262.65233.9949
C42.65231.34263.9949

picture of Carbon tetramer state 2 conformation 1
More geometry information
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/STO-3G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.057      
2 C -0.057      
3 C 0.057      
4 C 0.057      


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 -20.508 0.000 0.000
y 0.000 -17.678 0.000
z 0.000 0.000 -28.162
Traceless
 xyz
x 2.412 0.000 0.000
y 0.000 6.657 0.000
z 0.000 0.000 -9.069
Polar
3z2-r2-18.138
x2-y2-2.830
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 1.104 0.000 0.000
y 0.000 1.562 0.000
z 0.000 0.000 7.931


<r2> (average value of r2) Å2
<r2> 66.837
(<r2>)1/2 8.175