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: B2PLYP/6-311G**

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 B2PLYP/6-311G**
 hartrees
Energy at 0K-151.969224
Energy at 298.15K 
HF Energy-151.817929
Nuclear repulsion energy63.276190
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 B2PLYP/6-311G**
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 2120 2120 0.00 50.18 0.57 0.73
2 Σg 931 931 0.00 71.71 0.40 0.57
3 Σu 1578 1578 311.23 0.00 0.33 0.50
4 Πg 345 345 0.00 3.61 0.75 0.86
4 Πg 345 345 0.00 3.61 0.75 0.86
5 Πu 172 172 21.94 0.00 0.75 0.86
5 Πu 172 172 21.94 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 2831.1 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 2831.1 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 B2PLYP/6-311G**
B
0.16520

See section I.F.4 to change rotational constant units
Geometric Data calculated at B2PLYP/6-311G**

Point Group is D∞h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.646
C2 0.000 0.000 -0.646
C3 0.000 0.000 1.958
C4 0.000 0.000 -1.958

Atom - Atom Distances (Å)
  C1 C2 C3 C4
C11.29241.31192.6043
C21.29242.60431.3119
C31.31192.60433.9163
C42.60431.31193.9163

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 B2PLYP/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.063      
2 C 0.063      
3 C -0.063      
4 C -0.063      


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 -22.002 0.000 0.000
y 0.000 -22.002 0.000
z 0.000 0.000 -33.039
Traceless
 xyz
x 5.519 0.000 0.000
y 0.000 5.519 0.000
z 0.000 0.000 -11.037
Polar
3z2-r2-22.075
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 3.290 0.000 0.000
y 0.000 3.290 0.000
z 0.000 0.000 12.742


<r2> (average value of r2) Å2
<r2> 67.062
(<r2>)1/2 8.189

State 2 (1Σ)

Jump to S1C1
Energy calculated at B2PLYP/6-311G**
 hartrees
Energy at 0K-151.945895
Energy at 298.15K 
HF Energy-151.783104
Nuclear repulsion energy63.088292
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 B2PLYP/6-311G**
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 2100 0.00 57.00 0.41 0.58
2 Σg 920 920 0.00 70.48 0.33 0.50
3 Σu 1583 1583 351.97 0.00 0.75 0.86
4 Πg 427 427 0.00 33.47 0.75 0.86
4 Πg 293 293 0.00 6.77 0.75 0.86
5 Πu 204 204 6.74 0.00 0.74 0.85
5 Πu 150 150 34.94 0.00 0.75 0.86

Unscaled Zero Point Vibrational Energy (zpe) 2838.4 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 2838.4 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 B2PLYP/6-311G**
B
0.16420

See section I.F.4 to change rotational constant units
Geometric Data calculated at B2PLYP/6-311G**

Point Group is D∞h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.649
C2 0.000 0.000 -0.649
C3 0.000 0.000 1.964
C4 0.000 0.000 -1.964

Atom - Atom Distances (Å)
  C1 C2 C3 C4
C11.29801.31482.6128
C21.29802.61281.3148
C31.31482.61283.9276
C42.61281.31483.9276

picture of Carbon tetramer state 2 conformation 1
More geometry information
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B2PLYP/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.067      
2 C 0.067      
3 C -0.067      
4 C -0.067      


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 -20.212 0.000 0.000
y 0.000 -23.906 0.000
z 0.000 0.000 -33.021
Traceless
 xyz
x 8.251 0.000 0.000
y 0.000 2.710 0.000
z 0.000 0.000 -10.961
Polar
3z2-r2-21.923
x2-y23.694
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.233 0.000 0.000
y 0.000 2.981 0.000
z 0.000 0.000 12.427


<r2> (average value of r2) Å2
<r2> 67.392
(<r2>)1/2 8.209