return to home page Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
You are here: Calculated > Energy > Optimized > Energy

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

using model chemistry: BLYP/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 BLYP/cc-pVTZ
 hartrees
Energy at 0K-152.112766
Energy at 298.15K 
HF Energy-152.112766
Nuclear repulsion energy63.049726
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 BLYP/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 2033 2027 0.00 63.90 0.69 0.82
2 Σg 903 900 0.00 82.77 0.45 0.62
3 Σu 1529 1524 297.74 0.00 0.00 0.00
4 Πg 273 272 0.00 36.50 0.75 0.86
4 Πg 273 272 0.00 36.50 0.75 0.86
5 Πu 151 151 29.18 0.00 0.00 0.00
5 Πu 151 151 29.18 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 2656.1 cm-1
Scaled (by 0.997) Zero Point Vibrational Energy (zpe) 2648.2 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 BLYP/cc-pVTZ
B
0.16402

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

Point Group is D∞h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.648
C2 0.000 0.000 -0.648
C3 0.000 0.000 1.965
C4 0.000 0.000 -1.965

Atom - Atom Distances (Å)
  C1 C2 C3 C4
C11.29641.31712.6134
C21.29642.61341.3171
C31.31712.61343.9305
C42.61341.31713.9305

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 BLYP/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.032      
2 C -0.032      
3 C 0.032      
4 C 0.032      


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 -22.016 0.000 0.000
y 0.000 -22.016 0.000
z 0.000 0.000 -33.763
Traceless
 xyz
x 5.873 0.000 0.000
y 0.000 5.873 0.000
z 0.000 0.000 -11.747
Polar
3z2-r2-23.494
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 4.008 0.000 0.000
y 0.000 4.008 0.000
z 0.000 0.000 13.281


<r2> (average value of r2) Å2
<r2> 67.584
(<r2>)1/2 8.221

State 2 (1Σ)

Jump to S1C1
Energy calculated at BLYP/cc-pVTZ
 hartrees
Energy at 0K-152.086276
Energy at 298.15K 
HF Energy-152.086276
Nuclear repulsion energy62.949386
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 BLYP/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 2038 2032 0.00 80.46 0.44 0.61
2 Σg 899 896 0.00 76.02 0.35 0.52
3 Σu 1539 1534 340.80 0.00 0.00 0.00
4 Πg 466 465 0.00 4.27 0.75 0.86
4 Πg 42i 42i 0.00 30.47 0.75 0.86
5 Πu 204 204 8.95 0.00 0.00 0.00
5 Πu 108 108 43.74 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 2605.7 cm-1
Scaled (by 0.997) Zero Point Vibrational Energy (zpe) 2597.8 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 BLYP/cc-pVTZ
B
0.16349

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

Point Group is D∞h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.650
C2 0.000 0.000 -0.650
C3 0.000 0.000 1.968
C4 0.000 0.000 -1.968

Atom - Atom Distances (Å)
  C1 C2 C3 C4
C11.30011.31822.6182
C21.30012.61821.3182
C31.31822.61823.9364
C42.61821.31823.9364

picture of Carbon tetramer state 2 conformation 1
More geometry information
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at BLYP/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.027      
2 C -0.027      
3 C 0.027      
4 C 0.027      


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 -20.317 0.000 0.000
y 0.000 -23.891 0.000
z 0.000 0.000 -33.660
Traceless
 xyz
x 8.458 0.000 0.000
y 0.000 3.097 0.000
z 0.000 0.000 -11.555
Polar
3z2-r2-23.110
x2-y23.574
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.008 0.000 0.000
y 0.000 4.008 0.000
z 0.000 0.000 13.281


<r2> (average value of r2) Å2
<r2> 67.768
(<r2>)1/2 8.232