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All results from a given calculation for C4H6O2 (2,3-Butanedione)

using model chemistry: PBEPBE/6-311G*

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/6-311G*
 hartrees
Energy at 0K-306.189050
Energy at 298.15K-306.194884
Nuclear repulsion energy224.742795
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/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 Ag 3098 3066 0.00      
2 Ag 2985 2954 0.00      
3 Ag 1728 1710 0.00      
4 Ag 1423 1409 0.00      
5 Ag 1351 1337 0.00      
6 Ag 1234 1222 0.00      
7 Ag 980 969 0.00      
8 Ag 666 659 0.00      
9 Ag 503 498 0.00      
10 Ag 351 347 0.00      
11 Au 3043 3012 7.04      
12 Au 1420 1405 25.84      
13 Au 920 910 6.16      
14 Au 331 328 2.46      
15 Au 103 102 0.06      
16 Au 49 49 10.17      
17 Bg 3044 3012 0.00      
18 Bg 1426 1411 0.00      
19 Bg 1032 1021 0.00      
20 Bg 607 600 0.00      
21 Bg 97 96 0.00      
22 Bu 3099 3066 19.04      
23 Bu 2985 2954 0.53      
24 Bu 1735 1717 221.55      
25 Bu 1425 1410 35.81      
26 Bu 1345 1331 95.62      
27 Bu 1103 1092 83.98      
28 Bu 887 878 24.14      
29 Bu 526 521 35.00      
30 Bu 230 228 15.11      

Unscaled Zero Point Vibrational Energy (zpe) 19861.5 cm-1
Scaled (by 0.9896) Zero Point Vibrational Energy (zpe) 19655.0 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/6-311G*
ABC
0.17397 0.11157 0.06972

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

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.081 0.776 0.000
C2 0.081 -0.776 0.000
C3 1.198 1.573 0.000
C4 -1.198 -1.573 0.000
O5 -1.198 1.265 0.000
O6 1.198 -1.265 0.000
H7 0.971 2.646 0.000
H8 -0.971 -2.646 0.000
H9 1.812 1.313 0.877
H10 1.812 1.313 -0.877
H11 -1.812 -1.313 0.877
H12 -1.812 -1.313 -0.877

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.56031.50712.60121.22012.40892.14523.53552.15402.15402.85122.8512
C21.56032.60121.50712.40891.22013.53552.14522.85122.85122.15402.1540
C31.50712.60123.95482.41662.83801.09654.74361.10171.10174.26134.2613
C42.60121.50713.95482.83802.41664.74361.09654.26134.26131.10171.1017
O51.22012.40892.41662.83803.48542.57153.91733.13603.13602.79132.7913
O62.40891.22012.83802.41663.48543.91732.57152.79132.79133.13603.1360
H72.14523.53551.09654.74362.57153.91735.63631.80361.80364.91764.9176
H83.53552.14524.74361.09653.91732.57155.63634.91764.91761.80361.8036
H92.15402.85121.10174.26133.13602.79131.80364.91761.75464.47504.8066
H102.15402.85121.10174.26133.13602.79131.80364.91761.75464.80664.4750
H112.85122.15404.26131.10172.79133.13604.91761.80364.47504.80661.7546
H122.85122.15404.26131.10172.79133.13604.91761.80364.80664.47501.7546

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 115.981 C1 C2 O6 119.579
C1 C3 H7 109.956 C1 C3 H9 110.354
C1 C3 H10 110.354 C2 C1 C3 115.981
C2 C1 O5 119.579 C2 C4 H8 109.956
C2 C4 H11 110.354 C2 C4 H12 110.354
C3 C1 O5 124.440 C4 C2 O6 124.440
H7 C3 H9 110.269 H7 C3 H10 110.269
H8 C4 H11 110.269 H8 C4 H12 110.269
H9 C3 H10 105.563 H11 C4 H12 105.563
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.209      
2 C 0.209      
3 C -0.707      
4 C -0.707      
5 O -0.243      
6 O -0.243      
7 H 0.241      
8 H 0.241      
9 H 0.250      
10 H 0.250      
11 H 0.250      
12 H 0.250      


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 -38.344 6.936 0.000
y 6.936 -36.840 0.000
z 0.000 0.000 -33.807
Traceless
 xyz
x -3.020 6.936 0.000
y 6.936 -0.765 0.000
z 0.000 0.000 3.785
Polar
3z2-r27.570
x2-y2-1.503
xy6.936
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.767 0.336 0.000
y 0.336 8.129 0.000
z 0.000 0.000 5.112


<r2> (average value of r2) Å2
<r2> 164.496
(<r2>)1/2 12.826