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

using model chemistry: PBEPBE/3-21G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at PBEPBE/3-21G
 hartrees
Energy at 0K-341.071612
Energy at 298.15K-341.076200
Nuclear repulsion energy263.459819
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/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 A1 3195 3166 1.85      
2 A1 3023 2995 1.10      
3 A1 1714 1699 6.62      
4 A1 1576 1562 5.24      
5 A1 1411 1398 20.80      
6 A1 1170 1159 89.43      
7 A1 1058 1049 53.15      
8 A1 815 808 1.74      
9 A1 556 551 5.29      
10 A1 359 356 8.43      
11 A2 1166 1156 0.00      
12 A2 1020 1011 0.00      
13 A2 659 653 0.00      
14 A2 266 263 0.00      
15 B1 3066 3038 0.01      
16 B1 952 944 39.75      
17 B1 803 796 22.23      
18 B1 441 437 6.55      
19 B1 98 97 13.83      
20 B2 3169 3141 0.21      
21 B2 1680 1665 239.23      
22 B2 1313 1301 16.80      
23 B2 1222 1211 8.48      
24 B2 1064 1054 1.31      
25 B2 785 778 1.79      
26 B2 678 672 2.51      
27 B2 494 490 0.76      

Unscaled Zero Point Vibrational Energy (zpe) 16877.2 cm-1
Scaled (by 0.9909) Zero Point Vibrational Energy (zpe) 16723.6 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/3-21G
ABC
0.22131 0.07045 0.05399

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.089
C2 0.000 1.220 0.150
C3 0.000 -1.220 0.150
C4 0.000 0.677 -1.253
C5 0.000 -0.677 -1.253
O6 0.000 2.420 0.467
O7 0.000 -2.420 0.467
H8 0.893 0.000 1.738
H9 -0.893 0.000 1.738
H10 0.000 1.334 -2.122
H11 0.000 -1.334 -2.122

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 O6 O7 H8 H9 H10 H11
C11.53991.53992.43772.43772.49902.49901.10451.10453.47693.4769
C21.53992.44001.50382.35881.24153.65402.19342.19342.27413.4176
C31.53992.44002.35881.50383.65401.24152.19342.19343.41762.2741
C42.43771.50382.35881.35352.44883.54233.19423.19421.08942.1903
C52.43772.35881.50381.35353.54232.44883.19423.19422.19031.0894
O62.49901.24153.65402.44883.54234.84052.87622.87622.80744.5599
O72.49903.65401.24153.54232.44884.84052.87622.87624.55992.8074
H81.10452.19342.19343.19423.19422.87622.87621.78694.18074.1807
H91.10452.19342.19343.19423.19422.87622.87621.78694.18074.1807
H103.47692.27413.41761.08942.19032.80744.55994.18074.18072.6674
H113.47693.41762.27412.19031.08944.55992.80744.18074.18072.6674

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 106.426 C1 C2 O6 127.590
C1 C3 C5 106.426 C1 C3 O7 127.590
C2 C1 C3 104.795 C2 C1 H8 111.021
C2 C1 H9 111.021 C2 C4 C5 111.177
C2 C4 H10 121.736 C3 C1 H8 111.021
C3 C1 H9 111.021 C3 C5 C4 111.177
C3 C5 H11 121.736 C4 C2 O6 125.985
C4 C5 H11 127.087 C5 C3 O7 125.985
C5 C4 H10 127.087 H8 C1 H9 107.986
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.560      
2 C 0.384      
3 C 0.384      
4 C -0.207      
5 C -0.207      
6 O -0.411      
7 O -0.411      
8 H 0.278      
9 H 0.278      
10 H 0.236      
11 H 0.236      


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 -1.405 1.405
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -38.692 0.000 0.000
y 0.000 -52.333 0.000
z 0.000 0.000 -34.304
Traceless
 xyz
x 4.626 0.000 0.000
y 0.000 -15.835 0.000
z 0.000 0.000 11.209
Polar
3z2-r222.418
x2-y213.641
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 3.435 0.000 0.000
y 0.000 10.852 0.000
z 0.000 0.000 7.582


<r2> (average value of r2) Å2
<r2> 193.077
(<r2>)1/2 13.895