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 C4H6O2 (2,3-Butanedione)

using model chemistry: B3LYP/cc-pVTZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2H 1Ag
Energy calculated at B3LYP/cc-pVTZ
 hartrees
Energy at 0K-306.594552
Energy at 298.15K-306.600613
Nuclear repulsion energy226.198256
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 B3LYP/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 Ag 3149 3044 0.00      
2 Ag 3044 2942 0.00      
3 Ag 1785 1726 0.00      
4 Ag 1457 1408 0.00      
5 Ag 1396 1350 0.00      
6 Ag 1276 1233 0.00      
7 Ag 1014 980 0.00      
8 Ag 683 660 0.00      
9 Ag 520 503 0.00      
10 Ag 362 350 0.00      
11 Au 3097 2993 5.58      
12 Au 1460 1411 19.14      
13 Au 962 930 5.09      
14 Au 351 340 5.33      
15 Au 119 115 0.03      
16 Au 48 46 11.17      
17 Bg 3097 2993 0.00      
18 Bg 1465 1416 0.00      
19 Bg 1074 1038 0.00      
20 Bg 626 605 0.00      
21 Bg 116 112 0.00      
22 Bu 3149 3044 14.22      
23 Bu 3044 2942 0.40      
24 Bu 1787 1728 248.32      
25 Bu 1458 1409 28.98      
26 Bu 1390 1344 67.30      
27 Bu 1136 1098 80.56      
28 Bu 910 879 28.86      
29 Bu 546 528 41.87      
30 Bu 241 232 16.31      

Unscaled Zero Point Vibrational Energy (zpe) 20379.8 cm-1
Scaled (by 0.9666) Zero Point Vibrational Energy (zpe) 19699.1 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 B3LYP/cc-pVTZ
ABC
0.17742 0.11214 0.07047

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/cc-pVTZ

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.080 0.772 0.000
C2 0.080 -0.772 0.000
C3 1.188 1.577 0.000
C4 -1.188 -1.577 0.000
O5 -1.188 1.253 0.000
O6 1.188 -1.253 0.000
H7 0.949 2.636 0.000
H8 -0.949 -2.636 0.000
H9 1.793 1.322 0.872
H10 1.793 1.322 -0.872
H11 -1.793 -1.322 0.872
H12 -1.793 -1.322 -0.872

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.55181.50212.59711.20852.38882.12923.51702.13782.13782.84252.8425
C21.55182.59711.50212.38881.20853.51702.12922.84252.84252.13782.1378
C31.50212.59713.94902.39902.82931.08634.72401.09111.09114.24884.2488
C42.59711.50213.94902.82932.39904.72401.08634.24884.24881.09111.0911
O51.20852.38882.39902.82933.45332.54603.89623.10733.10732.78452.7845
O62.38881.20852.82932.39903.45333.89622.54602.78452.78453.10733.1073
H72.12923.51701.08634.72402.54603.89625.60341.78901.78904.89334.8933
H83.51702.12924.72401.08633.89622.54605.60344.89334.89331.78901.7890
H92.13782.84251.09114.24883.10732.78451.78904.89331.74364.45564.7846
H102.13782.84251.09114.24883.10732.78451.78904.89331.74364.78464.4556
H112.84252.13784.24881.09112.78453.10734.89331.78904.45564.78461.7436
H122.84252.13784.24881.09112.78453.10734.89331.78904.78464.45561.7436

picture of 2,3-Butanedione state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C4 116.511 C1 C2 O6 119.336
C1 C3 H7 109.652 C1 C3 H9 110.045
C1 C3 H10 110.045 C2 C1 C3 116.511
C2 C1 O5 119.336 C2 C4 H8 109.652
C2 C4 H11 110.045 C2 C4 H12 110.045
C3 C1 O5 124.153 C4 C2 O6 124.153
H7 C3 H9 110.493 H7 C3 H10 110.493
H8 C4 H11 110.493 H8 C4 H12 110.493
H9 C3 H10 106.063 H11 C4 H12 106.063
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.175      
2 C 0.175      
3 C -0.277      
4 C -0.277      
5 O -0.242      
6 O -0.242      
7 H 0.116      
8 H 0.116      
9 H 0.114      
10 H 0.114      
11 H 0.114      
12 H 0.114      


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 -38.705 7.422 0.000
y 7.422 -36.881 0.000
z 0.000 0.000 -33.783
Traceless
 xyz
x -3.373 7.422 0.000
y 7.422 -0.637 0.000
z 0.000 0.000 4.010
Polar
3z2-r28.020
x2-y2-1.824
xy7.422
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.888 0.288 0.000
y 0.288 8.368 0.000
z 0.000 0.000 5.536


<r2> (average value of r2) Å2
<r2> 163.070
(<r2>)1/2 12.770