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

using model chemistry: mPW1PW91/3-21G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2H 1Ag
Energy calculated at mPW1PW91/3-21G
 hartrees
Energy at 0K-304.706241
Energy at 298.15K-304.712338
Nuclear repulsion energy225.981808
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 mPW1PW91/3-21G
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 3205 3059 0.00      
2 Ag 3091 2950 0.00      
3 Ag 1780 1699 0.00      
4 Ag 1511 1442 0.00      
5 Ag 1447 1381 0.00      
6 Ag 1276 1218 0.00      
7 Ag 1036 989 0.00      
8 Ag 683 652 0.00      
9 Ag 551 526 0.00      
10 Ag 380 362 0.00      
11 Au 3152 3009 1.13      
12 Au 1528 1459 33.39      
13 Au 1013 967 13.11      
14 Au 394 376 1.49      
15 Au 122 117 2.82      
16 Au 38 36 7.36      
17 Bg 3152 3009 0.00      
18 Bg 1534 1465 0.00      
19 Bg 1119 1068 0.00      
20 Bg 686 655 0.00      
21 Bg 64 61 0.00      
22 Bu 3205 3059 9.27      
23 Bu 3090 2950 0.46      
24 Bu 1774 1694 122.60      
25 Bu 1514 1445 34.75      
26 Bu 1446 1380 115.30      
27 Bu 1164 1111 98.35      
28 Bu 931 888 21.35      
29 Bu 538 514 30.41      
30 Bu 253 241 19.88      

Unscaled Zero Point Vibrational Energy (zpe) 20836.9 cm-1
Scaled (by 0.9546) Zero Point Vibrational Energy (zpe) 19890.9 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 mPW1PW91/3-21G
ABC
0.17065 0.11654 0.07106

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/3-21G

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.082 0.762 0.000
C2 0.082 -0.762 0.000
C3 1.210 1.525 0.000
C4 -1.210 -1.525 0.000
O5 -1.210 1.253 0.000
O6 1.210 -1.253 0.000
H7 1.014 2.597 0.000
H8 -1.014 -2.597 0.000
H9 1.804 1.248 0.878
H10 1.804 1.248 -0.878
H11 -1.804 -1.248 0.878
H12 -1.804 -1.248 -0.878

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.53301.50072.55031.23062.39382.13733.48612.13592.13592.78832.7883
C21.53302.55031.50072.39381.23063.48612.13732.78832.78832.13592.1359
C31.50072.55033.89392.43602.77791.08994.68391.09511.09514.18854.1885
C42.55031.50073.89392.77792.43604.68391.08994.18854.18851.09511.0951
O51.23062.39382.43602.77793.48422.59903.85503.13943.13942.71582.7158
O62.39381.23062.77792.43603.48423.85502.59902.71582.71583.13943.1394
H72.13733.48611.08994.68392.59903.85505.57601.79301.79304.84694.8469
H83.48612.13734.68391.08993.85502.59905.57604.84694.84691.79301.7930
H92.13592.78831.09514.18853.13942.71581.79304.84691.75504.38674.7247
H102.13592.78831.09514.18853.13942.71581.79304.84691.75504.72474.3867
H112.78832.13594.18851.09512.71583.13944.84691.79304.38674.72471.7550
H122.78832.13594.18851.09512.71583.13944.84691.79304.72474.38671.7550

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 114.420 C1 C2 O6 119.642
C1 C3 H7 110.176 C1 C3 H9 109.756
C1 C3 H10 109.756 C2 C1 C3 114.420
C2 C1 O5 119.642 C2 C4 H8 110.176
C2 C4 H11 109.756 C2 C4 H12 109.756
C3 C1 O5 125.937 C4 C2 O6 125.937
H7 C3 H9 110.285 H7 C3 H10 110.285
H8 C4 H11 110.285 H8 C4 H12 110.285
H9 C3 H10 106.515 H11 C4 H12 106.515
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.361      
2 C 0.361      
3 C -0.696      
4 C -0.696      
5 O -0.438      
6 O -0.438      
7 H 0.250      
8 H 0.250      
9 H 0.262      
10 H 0.262      
11 H 0.262      
12 H 0.262      


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 -38.012 7.160 0.000
y 7.160 -36.482 0.000
z 0.000 0.000 -33.534
Traceless
 xyz
x -3.004 7.160 0.000
y 7.160 -0.709 0.000
z 0.000 0.000 3.714
Polar
3z2-r27.427
x2-y2-1.530
xy7.160
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.400 -0.057 0.000
y -0.057 6.428 0.000
z 0.000 0.000 4.121


<r2> (average value of r2) Å2
<r2> 161.456
(<r2>)1/2 12.707