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/3-21G

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/3-21G
 hartrees
Energy at 0K-304.786336
Energy at 298.15K-304.792321
Nuclear repulsion energy225.091117
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/3-21G
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 Ag 3173 3062 0.00      
2 Ag 3069 2961 0.00      
3 Ag 1747 1686 0.00      
4 Ag 1512 1459 0.00      
5 Ag 1443 1392 0.00      
6 Ag 1251 1207 0.00      
7 Ag 1025 989 0.00      
8 Ag 665 642 0.00      
9 Ag 543 524 0.00      
10 Ag 375 362 0.00      
11 Au 3119 3009 3.72      
12 Au 1529 1476 27.47      
13 Au 1012 976 10.06      
14 Au 388 375 1.76      
15 Au 120 116 2.93      
16 Au 17 17 6.34      
17 Bg 3119 3010 0.00      
18 Bg 1535 1481 0.00      
19 Bg 1114 1075 0.00      
20 Bg 680 656 0.00      
21 Bg 50 49 0.00      
22 Bu 3173 3062 13.38      
23 Bu 3068 2961 0.03      
24 Bu 1743 1682 114.26      
25 Bu 1515 1462 32.49      
26 Bu 1442 1391 93.91      
27 Bu 1153 1112 92.09      
28 Bu 911 879 27.78      
29 Bu 534 515 29.97      
30 Bu 251 242 18.79      

Unscaled Zero Point Vibrational Energy (zpe) 20637.5 cm-1
Scaled (by 0.9649) Zero Point Vibrational Energy (zpe) 19913.1 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/3-21G
ABC
0.16966 0.11523 0.07040

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/3-21G

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.083 0.766 0.000
C2 0.083 -0.766 0.000
C3 1.214 1.536 0.000
C4 -1.214 -1.536 0.000
O5 -1.214 1.258 0.000
O6 1.214 -1.258 0.000
H7 1.014 2.608 0.000
H8 -1.014 -2.608 0.000
H9 1.809 1.261 0.878
H10 1.809 1.261 -0.878
H11 -1.809 -1.261 0.878
H12 -1.809 -1.261 -0.878

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.54041.50932.56451.23352.40412.14433.49962.14432.14432.80302.8030
C21.54042.56451.50932.40411.23353.49962.14432.80302.80302.14432.1443
C31.50932.56453.91622.44462.79401.09064.70501.09571.09574.21144.2114
C42.56451.50933.91622.79402.44464.70501.09064.21144.21141.09571.0957
O51.23352.40412.44462.79403.49702.60513.87133.14833.14832.73342.7334
O62.40411.23352.79402.44463.49703.87132.60512.73342.73343.14833.1483
H72.14433.49961.09064.70502.60513.87135.59611.79391.79394.86924.8692
H83.49962.14434.70501.09063.87132.60515.59614.86924.86921.79391.7939
H92.14432.80301.09574.21143.14832.73341.79394.86921.75684.41034.7473
H102.14432.80301.09574.21143.14832.73341.79394.86921.75684.74734.4103
H112.80302.14434.21141.09572.73343.14834.86921.79394.41034.74731.7568
H122.80302.14434.21141.09572.73343.14834.86921.79394.74734.41031.7568

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 114.472 C1 C2 O6 119.746
C1 C3 H7 110.085 C1 C3 H9 109.787
C1 C3 H10 109.787 C2 C1 C3 114.472
C2 C1 O5 119.746 C2 C4 H8 110.085
C2 C4 H11 109.787 C2 C4 H12 109.787
C3 C1 O5 125.781 C4 C2 O6 125.781
H7 C3 H9 110.270 H7 C3 H10 110.270
H8 C4 H11 110.270 H8 C4 H12 110.270
H9 C3 H10 106.581 H11 C4 H12 106.581
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.357      
2 C 0.357      
3 C -0.620      
4 C -0.620      
5 O -0.427      
6 O -0.427      
7 H 0.222      
8 H 0.222      
9 H 0.234      
10 H 0.234      
11 H 0.234      
12 H 0.234      


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 -38.179 6.918 0.000
y 6.918 -36.642 0.000
z 0.000 0.000 -33.567
Traceless
 xyz
x -3.074 6.918 0.000
y 6.918 -0.769 0.000
z 0.000 0.000 3.843
Polar
3z2-r27.686
x2-y2-1.536
xy6.918
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.433 -0.030 0.000
y -0.030 6.532 0.000
z 0.000 0.000 4.135


<r2> (average value of r2) Å2
<r2> 162.806
(<r2>)1/2 12.760