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All results from a given calculation for C5H4O2 (4-Cyclopentene-1,3-dione)

using model chemistry: mPW1PW91/6-311G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at mPW1PW91/6-311G**
 hartrees
Energy at 0K-343.361464
Energy at 298.15K-343.366168
Nuclear repulsion energy268.249664
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 mPW1PW91/6-311G**
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 A1 3249 3108 0.90      
2 A1 3095 2961 0.26      
3 A1 1867 1786 27.15      
4 A1 1650 1579 5.41      
5 A1 1415 1354 19.73      
6 A1 1266 1211 129.81      
7 A1 1074 1027 13.58      
8 A1 860 823 1.74      
9 A1 581 556 4.56      
10 A1 393 376 16.21      
11 A2 1148 1098 0.00      
12 A2 1024 980 0.00      
13 A2 656 628 0.00      
14 A2 246 235 0.00      
15 B1 3142 3006 0.04      
16 B1 972 930 30.25      
17 B1 810 775 22.72      
18 B1 439 420 0.92      
19 B1 88 84 17.19      
20 B2 3227 3087 0.68      
21 B2 1834 1755 517.36      
22 B2 1347 1289 17.55      
23 B2 1247 1193 1.35      
24 B2 1141 1092 3.41      
25 B2 830 794 2.60      
26 B2 697 667 1.94      
27 B2 528 506 0.73      

Unscaled Zero Point Vibrational Energy (zpe) 17413.2 cm-1
Scaled (by 0.9567) Zero Point Vibrational Energy (zpe) 16659.2 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 mPW1PW91/6-311G**
ABC
0.22515 0.07384 0.05618

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-311G**

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.083
C2 0.000 1.197 0.150
C3 0.000 -1.197 0.150
C4 0.000 0.669 -1.242
C5 0.000 -0.669 -1.242
O6 0.000 2.359 0.459
O7 0.000 -2.359 0.459
H8 0.880 0.000 1.730
H9 -0.880 0.000 1.730
H10 0.000 1.328 -2.100
H11 0.000 -1.328 -2.100

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 O6 O7 H8 H9 H10 H11
C11.51781.51782.41972.41972.44042.44041.09201.09203.44953.4495
C21.51782.39401.48902.32801.20263.56962.16852.16852.25403.3825
C31.51782.39402.32801.48903.56961.20262.16852.16853.38252.2540
C42.41971.48902.32801.33762.39833.47323.17063.17061.08222.1738
C52.41972.32801.48901.33763.47322.39833.17063.17062.17381.0822
O62.44041.20263.56962.39833.47324.71842.82042.82042.75914.4887
O72.44043.56961.20263.47322.39834.71842.82042.82044.48872.7591
H81.09202.16852.16853.17063.17062.82042.82041.76044.14804.1480
H91.09202.16852.16853.17063.17062.82042.82041.76044.14804.1480
H103.44952.25403.38251.08222.17382.75914.48874.14804.14802.6569
H113.44953.38252.25402.17381.08224.48872.75914.14804.14802.6569

picture of 4-Cyclopentene-1,3-dione state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C4 107.164 C1 C2 O6 127.165
C1 C3 C5 107.164 C1 C3 O7 127.165
C2 C1 C3 104.118 C2 C1 H8 111.338
C2 C1 H9 111.338 C2 C4 C5 110.776
C2 C4 H10 121.671 C3 C1 H8 111.338
C3 C1 H9 111.338 C3 C5 C4 110.776
C3 C5 H11 121.671 C4 C2 O6 125.670
C4 C5 H11 127.552 C5 C3 O7 125.670
C5 C4 H10 127.552 H8 C1 H9 107.430
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.284      
2 C 0.208      
3 C 0.208      
4 C -0.105      
5 C -0.105      
6 O -0.291      
7 O -0.291      
8 H 0.191      
9 H 0.191      
10 H 0.140      
11 H 0.140      


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 -1.595 1.595
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -38.114 0.000 0.000
y 0.000 -53.971 0.000
z 0.000 0.000 -34.283
Traceless
 xyz
x 6.014 0.000 0.000
y 0.000 -17.773 0.000
z 0.000 0.000 11.759
Polar
3z2-r223.518
x2-y215.857
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.476 0.000 0.000
y 0.000 11.436 0.000
z 0.000 0.000 8.224


<r2> (average value of r2) Å2
<r2> 187.008
(<r2>)1/2 13.675