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: PBEPBE/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 PBEPBE/cc-pVTZ
 hartrees
Energy at 0K-306.225891
Energy at 298.15K-306.231724
Nuclear repulsion energy225.116208
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 PBEPBE/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 3096 3074 0.00      
2 Ag 2981 2960 0.00      
3 Ag 1716 1704 0.00      
4 Ag 1399 1390 0.00      
5 Ag 1334 1325 0.00      
6 Ag 1232 1224 0.00      
7 Ag 972 966 0.00      
8 Ag 666 661 0.00      
9 Ag 500 497 0.00      
10 Ag 350 347 0.00      
11 Au 3038 3017 2.92      
12 Au 1399 1389 20.75      
13 Au 908 902 5.46      
14 Au 330 327 3.05      
15 Au 105 104 0.00      
16 Au 42 42 10.90      
17 Bg 3038 3017 0.00      
18 Bg 1405 1395 0.00      
19 Bg 1024 1017 0.00      
20 Bg 599 595 0.00      
21 Bg 99 99 0.00      
22 Bu 3096 3075 12.12      
23 Bu 2981 2960 0.16      
24 Bu 1725 1713 223.29      
25 Bu 1400 1391 29.86      
26 Bu 1327 1318 86.26      
27 Bu 1098 1090 82.40      
28 Bu 882 876 26.34      
29 Bu 525 522 36.35      
30 Bu 231 229 15.82      

Unscaled Zero Point Vibrational Energy (zpe) 19748.2 cm-1
Scaled (by 0.9931) Zero Point Vibrational Energy (zpe) 19611.9 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 PBEPBE/cc-pVTZ
ABC
0.17472 0.11188 0.06995

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

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.079 0.774 0.000
C2 0.079 -0.774 0.000
C3 1.196 1.571 0.000
C4 -1.196 -1.571 0.000
O5 -1.196 1.265 0.000
O6 1.196 -1.265 0.000
H7 0.966 2.641 0.000
H8 -0.966 -2.641 0.000
H9 1.806 1.306 0.876
H10 1.806 1.306 -0.876
H11 -1.806 -1.306 0.876
H12 -1.806 -1.306 -0.876

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.55651.50352.59791.21992.40452.13933.52852.14542.14542.84182.8418
C21.55652.59791.50352.40451.21993.52852.13932.84182.84182.14542.1454
C31.50352.59793.94922.41152.83571.09424.73461.09991.09994.24924.2492
C42.59791.50353.94922.83572.41154.73461.09424.24924.24921.09991.0999
O51.21992.40452.41152.83573.48102.56293.91233.12753.12752.78292.7829
O62.40451.21992.83572.41153.48103.91232.56292.78292.78293.12753.1275
H72.13933.52851.09424.73462.56293.91235.62421.80451.80454.90174.9017
H83.52852.13934.73461.09423.91232.56295.62424.90174.90171.80451.8045
H92.14542.84181.09994.24923.12752.78291.80454.90171.75144.45734.7890
H102.14542.84181.09994.24923.12752.78291.80454.90171.75144.78904.4573
H112.84182.14544.24921.09992.78293.12754.90171.80454.45734.78901.7514
H122.84182.14544.24921.09992.78293.12754.90171.80454.78904.45731.7514

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 116.191 C1 C2 O6 119.518
C1 C3 H7 109.875 C1 C3 H9 110.024
C1 C3 H10 110.024 C2 C1 C3 116.191
C2 C1 O5 119.518 C2 C4 H8 109.875
C2 C4 H11 110.024 C2 C4 H12 110.024
C3 C1 O5 124.291 C4 C2 O6 124.291
H7 C3 H9 110.654 H7 C3 H10 110.654
H8 C4 H11 110.654 H8 C4 H12 110.654
H9 C3 H10 105.534 H11 C4 H12 105.534
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.138      
2 C 0.138      
3 C -0.268      
4 C -0.268      
5 O -0.212      
6 O -0.212      
7 H 0.111      
8 H 0.111      
9 H 0.115      
10 H 0.115      
11 H 0.115      
12 H 0.115      


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 -38.303 7.198 0.000
y 7.198 -36.787 0.000
z 0.000 0.000 -33.855
Traceless
 xyz
x -2.982 7.198 0.000
y 7.198 -0.708 0.000
z 0.000 0.000 3.690
Polar
3z2-r27.380
x2-y2-1.516
xy7.198
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.320 0.435 0.000
y 0.435 8.828 0.000
z 0.000 0.000 5.678


<r2> (average value of r2) Å2
<r2> 163.958
(<r2>)1/2 12.805