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

using model chemistry: PBEPBE/cc-pVDZ

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-pVDZ
 hartrees
Energy at 0K-306.132486
Energy at 298.15K-306.138292
Nuclear repulsion energy224.407465
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-pVDZ
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 3115 3097 0.00      
2 Ag 2986 2969 0.00      
3 Ag 1733 1723 0.00      
4 Ag 1370 1362 0.00      
5 Ag 1323 1315 0.00      
6 Ag 1237 1230 0.00      
7 Ag 963 958 0.00      
8 Ag 672 668 0.00      
9 Ag 506 503 0.00      
10 Ag 352 350 0.00      
11 Au 3057 3040 1.64      
12 Au 1371 1363 20.44      
13 Au 896 891 6.87      
14 Au 333 331 1.90      
15 Au 106 105 0.12      
16 Au 43 43 9.92      
17 Bg 3058 3040 0.00      
18 Bg 1378 1370 0.00      
19 Bg 1015 1009 0.00      
20 Bg 604 600 0.00      
21 Bg 88 87 0.00      
22 Bu 3115 3097 9.85      
23 Bu 2986 2969 0.37      
24 Bu 1738 1728 213.61      
25 Bu 1370 1363 28.24      
26 Bu 1307 1299 82.13      
27 Bu 1095 1089 85.47      
28 Bu 882 877 17.68      
29 Bu 520 517 34.95      
30 Bu 232 231 14.97      

Unscaled Zero Point Vibrational Energy (zpe) 19725.2 cm-1
Scaled (by 0.9942) Zero Point Vibrational Energy (zpe) 19610.8 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-pVDZ
ABC
0.17295 0.11183 0.06968

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

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.079 0.773 0.000
C2 0.079 -0.773 0.000
C3 1.202 1.569 0.000
C4 -1.202 -1.569 0.000
O5 -1.202 1.267 0.000
O6 1.202 -1.267 0.000
H7 0.976 2.650 0.000
H8 -0.976 -2.650 0.000
H9 1.816 1.297 0.882
H10 1.816 1.297 -0.882
H11 -1.816 -1.297 0.882
H12 -1.816 -1.297 -0.882

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.55511.50802.59771.22582.40902.15273.53872.15572.15572.84332.8433
C21.55512.59771.50802.40901.22583.53872.15272.84332.84332.15572.1557
C31.50802.59773.95302.42212.83601.10374.74791.10931.10934.25504.2550
C42.59771.50803.95302.83602.42214.74791.10374.25504.25501.10931.1093
O51.22582.40902.42212.83603.49182.57963.92303.14453.14452.78052.7805
O62.40901.22582.83602.42213.49183.92302.57962.78052.78053.14453.1445
H72.15273.53871.10374.74792.57963.92305.64761.82041.82044.91494.9149
H83.53872.15274.74791.10373.92302.57965.64764.91494.91491.82041.8204
H92.15572.84331.10934.25503.14452.78051.82044.91491.76464.46444.8005
H102.15572.84331.10934.25503.14452.78051.82044.91491.76464.80054.4644
H112.84332.15574.25501.10932.78053.14454.91491.82044.46444.80051.7646
H122.84332.15574.25501.10932.78053.14454.91491.82044.80054.46441.7646

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 115.996 C1 C2 O6 119.584
C1 C3 H7 110.060 C1 C3 H9 109.965
C1 C3 H10 109.965 C2 C1 C3 115.996
C2 C1 O5 119.584 C2 C4 H8 110.060
C2 C4 H11 109.965 C2 C4 H12 109.965
C3 C1 O5 124.420 C4 C2 O6 124.420
H7 C3 H9 110.689 H7 C3 H10 110.689
H8 C4 H11 110.689 H8 C4 H12 110.689
H9 C3 H10 105.380 H11 C4 H12 105.380
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.006      
2 C -0.006      
3 C -0.019      
4 C -0.019      
5 O -0.160      
6 O -0.160      
7 H 0.047      
8 H 0.047      
9 H 0.069      
10 H 0.069      
11 H 0.069      
12 H 0.069      


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 -37.554 6.602 0.000
y 6.602 -36.366 0.000
z 0.000 0.000 -33.495
Traceless
 xyz
x -2.623 6.602 0.000
y 6.602 -0.841 0.000
z 0.000 0.000 3.465
Polar
3z2-r26.929
x2-y2-1.188
xy6.602
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.596 0.405 0.000
y 0.405 8.021 0.000
z 0.000 0.000 4.962


<r2> (average value of r2) Å2
<r2> 164.260
(<r2>)1/2 12.816