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

using model chemistry: PBEPBE/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 PBEPBE/6-31G(2df,p)
 hartrees
Energy at 0K-306.134524
Energy at 298.15K-306.140318
Nuclear repulsion energy224.821483
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/6-31G(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 3112 3080 0.00      
2 Ag 2990 2959 0.00      
3 Ag 1738 1720 0.00      
4 Ag 1398 1384 0.00      
5 Ag 1330 1316 0.00      
6 Ag 1237 1224 0.00      
7 Ag 970 960 0.00      
8 Ag 666 659 0.00      
9 Ag 504 498 0.00      
10 Ag 348 345 0.00      
11 Au 3057 3025 2.01      
12 Au 1402 1387 17.76      
13 Au 905 896 6.19      
14 Au 331 328 2.81      
15 Au 105 104 0.20      
16 Au 44 44 9.31      
17 Bg 3057 3026 0.00      
18 Bg 1408 1393 0.00      
19 Bg 1026 1015 0.00      
20 Bg 603 597 0.00      
21 Bg 92 91 0.00      
22 Bu 3112 3080 11.80      
23 Bu 2990 2959 0.09      
24 Bu 1747 1729 196.04      
25 Bu 1399 1384 26.11      
26 Bu 1322 1308 74.31      
27 Bu 1095 1084 86.19      
28 Bu 879 869 22.29      
29 Bu 517 511 34.39      
30 Bu 228 225 15.21      

Unscaled Zero Point Vibrational Energy (zpe) 19804.3 cm-1
Scaled (by 0.9897) Zero Point Vibrational Energy (zpe) 19600.3 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/6-31G(2df,p)
ABC
0.17342 0.11211 0.06984

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

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.082 0.774 0.000
C2 0.082 -0.774 0.000
C3 1.201 1.569 0.000
C4 -1.201 -1.569 0.000
O5 -1.201 1.262 0.000
O6 1.201 -1.262 0.000
H7 0.977 2.644 0.000
H8 -0.977 -2.644 0.000
H9 1.811 1.299 0.878
H10 1.811 1.299 -0.878
H11 -1.811 -1.299 0.878
H12 -1.811 -1.299 -0.878

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.55631.50972.59621.22032.40682.14953.53272.15192.15192.83812.8381
C21.55632.59621.50972.40681.22033.53272.14952.83812.83812.15192.1519
C31.50972.59623.95182.42072.83181.09744.74281.10261.10264.25054.2505
C42.59621.50973.95182.83182.42074.74281.09744.25054.25051.10261.1026
O51.22032.40682.42072.83183.48442.57913.91263.13683.13682.77592.7759
O62.40681.22032.83182.42073.48443.91262.57912.77592.77593.13683.1368
H72.14953.53271.09744.74282.57913.91265.63731.80891.80894.90834.9083
H83.53272.14954.74281.09743.91262.57915.63734.90834.90831.80891.8089
H92.15192.83811.10264.25053.13682.77591.80894.90831.75584.45714.7905
H102.15192.83811.10264.25053.13682.77591.80894.90831.75584.79054.4571
H112.83812.15194.25051.10262.77593.13684.90831.80894.45714.79051.7558
H122.83812.15194.25051.10262.77593.13684.90831.80894.79054.45711.7558

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 115.715 C1 C2 O6 119.695
C1 C3 H7 110.068 C1 C3 H9 109.948
C1 C3 H10 109.948 C2 C1 C3 115.715
C2 C1 O5 119.695 C2 C4 H8 110.068
C2 C4 H11 109.948 C2 C4 H12 109.948
C3 C1 O5 124.590 C4 C2 O6 124.590
H7 C3 H9 110.625 H7 C3 H10 110.625
H8 C4 H11 110.625 H8 C4 H12 110.625
H9 C3 H10 105.541 H11 C4 H12 105.541
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.272      
2 C 0.272      
3 C -0.510      
4 C -0.510      
5 O -0.249      
6 O -0.249      
7 H 0.150      
8 H 0.150      
9 H 0.168      
10 H 0.168      
11 H 0.168      
12 H 0.168      


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 -37.449 6.689 0.000
y 6.689 -35.915 0.000
z 0.000 0.000 -33.079
Traceless
 xyz
x -2.952 6.689 0.000
y 6.689 -0.651 0.000
z 0.000 0.000 3.604
Polar
3z2-r27.207
x2-y2-1.534
xy6.689
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.526 0.333 0.000
y 0.333 8.090 0.000
z 0.000 0.000 5.112


<r2> (average value of r2) Å2
<r2> 163.680
(<r2>)1/2 12.794