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

using model chemistry: mPW1PW91/6-31G(2df,p)

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2H 1Ag
Energy calculated at mPW1PW91/6-31G(2df,p)
 hartrees
Energy at 0K-306.420636
Energy at 298.15K-306.426665
Nuclear repulsion energy226.831380
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 mPW1PW91/6-31G(2df,p)
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 3199 3054 0.00      
2 Ag 3077 2937 0.00      
3 Ag 1843 1759 0.00      
4 Ag 1452 1386 0.00      
5 Ag 1396 1332 0.00      
6 Ag 1299 1240 0.00      
7 Ag 1012 966 0.00      
8 Ag 699 667 0.00      
9 Ag 530 506 0.00      
10 Ag 360 344 0.00      
11 Au 3150 3008 2.21      
12 Au 1457 1391 19.02      
13 Au 952 909 6.91      
14 Au 353 337 4.80      
15 Au 114 109 0.22      
16 Au 53 50 9.95      
17 Bg 3151 3008 0.00      
18 Bg 1463 1396 0.00      
19 Bg 1075 1026 0.00      
20 Bg 629 600 0.00      
21 Bg 106 101 0.00      
22 Bu 3200 3055 10.67      
23 Bu 3077 2937 0.26      
24 Bu 1844 1761 229.30      
25 Bu 1452 1386 27.13      
26 Bu 1383 1320 71.80      
27 Bu 1139 1088 86.17      
28 Bu 918 876 17.82      
29 Bu 538 514 40.58      
30 Bu 235 225 16.27      

Unscaled Zero Point Vibrational Energy (zpe) 20577.3 cm-1
Scaled (by 0.9547) Zero Point Vibrational Energy (zpe) 19645.2 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 mPW1PW91/6-31G(2df,p)
ABC
0.17724 0.11363 0.07103

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-31G(2df,p)

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.082 0.767 0.000
C2 0.082 -0.767 0.000
C3 1.189 1.564 0.000
C4 -1.189 -1.564 0.000
O5 -1.189 1.245 0.000
O6 1.189 -1.245 0.000
H7 0.958 2.628 0.000
H8 -0.958 -2.628 0.000
H9 1.792 1.302 0.873
H10 1.792 1.302 -0.873
H11 -1.792 -1.302 0.873
H12 -1.792 -1.302 -0.873

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.54351.50032.58101.20532.38022.13213.50682.13592.13592.82312.8231
C21.54352.58101.50032.38021.20533.50682.13212.82312.82312.13592.1359
C31.50032.58103.92982.39902.80951.08864.71051.09311.09314.22704.2270
C42.58101.50033.92982.80952.39904.71051.08864.22704.22701.09311.0931
O51.20532.38022.39902.80953.44292.55403.88023.10693.10692.75962.7596
O62.38021.20532.80952.39903.44293.88022.55402.75962.75963.10693.1069
H72.13213.50681.08864.71052.55403.88025.59501.79331.79334.87624.8762
H83.50682.13214.71051.08863.88022.55405.59504.87624.87621.79331.7933
H92.13592.82311.09314.22703.10692.75961.79334.87621.74584.43104.7626
H102.13592.82311.09314.22703.10692.75961.79334.87621.74584.76264.4310
H112.82312.13594.22701.09312.75963.10694.87621.79334.43104.76261.7458
H122.82312.13594.22701.09312.75963.10694.87621.79334.76264.43101.7458

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 115.974 C1 C2 O6 119.467
C1 C3 H7 109.858 C1 C3 H9 109.898
C1 C3 H10 109.898 C2 C1 C3 115.974
C2 C1 O5 119.467 C2 C4 H8 109.858
C2 C4 H11 109.898 C2 C4 H12 109.898
C3 C1 O5 124.559 C4 C2 O6 124.559
H7 C3 H9 110.567 H7 C3 H10 110.567
H8 C4 H11 110.567 H8 C4 H12 110.567
H9 C3 H10 105.987 H11 C4 H12 105.987
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.303      
2 C 0.303      
3 C -0.546      
4 C -0.546      
5 O -0.294      
6 O -0.294      
7 H 0.170      
8 H 0.170      
9 H 0.184      
10 H 0.184      
11 H 0.184      
12 H 0.184      


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 -37.540 6.952 0.000
y 6.952 -35.738 0.000
z 0.000 0.000 -32.849
Traceless
 xyz
x -3.246 6.952 0.000
y 6.952 -0.543 0.000
z 0.000 0.000 3.790
Polar
3z2-r27.579
x2-y2-1.802
xy6.952
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.128 0.189 0.000
y 0.189 7.614 0.000
z 0.000 0.000 5.002


<r2> (average value of r2) Å2
<r2> 161.321
(<r2>)1/2 12.701