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

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 C2V 1A1
Energy calculated at PBEPBE/6-31G(2df,p)
 hartrees
Energy at 0K-342.988894
Energy at 298.15K-342.993365
Nuclear repulsion energy265.767555
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 A1 3161 3128 2.40      
2 A1 3011 2980 0.25      
3 A1 1774 1756 17.08      
4 A1 1573 1557 5.68      
5 A1 1357 1343 13.52      
6 A1 1207 1195 108.61      
7 A1 1033 1022 14.28      
8 A1 830 821 0.93      
9 A1 555 549 3.51      
10 A1 374 370 11.62      
11 A2 1094 1083 0.00      
12 A2 978 968 0.00      
13 A2 628 622 0.00      
14 A2 230 228 0.00      
15 B1 3056 3025 0.00      
16 B1 927 917 21.20      
17 B1 781 773 13.40      
18 B1 419 415 0.96      
19 B1 83 82 14.33      
20 B2 3138 3106 1.18      
21 B2 1745 1727 370.74      
22 B2 1292 1279 14.97      
23 B2 1176 1164 1.97      
24 B2 1087 1076 1.89      
25 B2 795 787 2.73      
26 B2 670 663 2.36      
27 B2 504 499 0.66      

Unscaled Zero Point Vibrational Energy (zpe) 16739.0 cm-1
Scaled (by 0.9897) Zero Point Vibrational Energy (zpe) 16566.6 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/6-31G(2df,p)
ABC
0.22252 0.07225 0.05510

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.090
C2 0.000 1.209 0.150
C3 0.000 -1.209 0.150
C4 0.000 0.676 -1.249
C5 0.000 -0.676 -1.249
O6 0.000 2.386 0.461
O7 0.000 -2.386 0.461
H8 0.885 0.000 1.748
H9 -0.885 0.000 1.748
H10 0.000 1.342 -2.114
H11 0.000 -1.342 -2.114

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 O6 O7 H8 H9 H10 H11
C11.53161.53162.43452.43452.46742.46741.10231.10233.47383.4738
C21.53162.41731.49622.34651.21783.60802.19032.19032.26743.4101
C31.53162.41732.34651.49623.60801.21782.19032.19033.41012.2674
C42.43451.49622.34651.35182.41823.50693.19633.19631.09202.1956
C52.43452.34651.49621.35183.50692.41823.19633.19632.19561.0920
O62.46741.21783.60802.41823.50694.77172.85122.85122.77884.5308
O72.46743.60801.21783.50692.41824.77172.85122.85124.53082.7788
H81.10232.19032.19033.19633.19632.85122.85121.76964.18274.1827
H91.10232.19032.19033.19633.19632.85122.85121.76964.18274.1827
H103.47382.26743.41011.09202.19562.77884.53084.18274.18272.6838
H113.47383.41012.26742.19561.09204.53082.77884.18274.18272.6838

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 107.034 C1 C2 O6 127.273
C1 C3 C5 107.034 C1 C3 O7 127.273
C2 C1 C3 104.214 C2 C1 H8 111.486
C2 C1 H9 111.486 C2 C4 C5 110.859
C2 C4 H10 121.558 C3 C1 H8 111.486
C3 C1 H9 111.486 C3 C5 C4 110.859
C3 C5 H11 121.558 C4 C2 O6 125.694
C4 C5 H11 127.583 C5 C3 O7 125.694
C5 C4 H10 127.583 H8 C1 H9 106.781
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 -0.472      
2 C 0.364      
3 C 0.364      
4 C -0.161      
5 C -0.161      
6 O -0.282      
7 O -0.282      
8 H 0.174      
9 H 0.174      
10 H 0.142      
11 H 0.142      


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 -1.550 1.550
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -37.504 0.000 0.000
y 0.000 -52.392 0.000
z 0.000 0.000 -34.043
Traceless
 xyz
x 5.713 0.000 0.000
y 0.000 -16.618 0.000
z 0.000 0.000 10.905
Polar
3z2-r221.809
x2-y214.888
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.649 0.000 0.000
y 0.000 11.677 0.000
z 0.000 0.000 8.693


<r2> (average value of r2) Å2
<r2> 189.618
(<r2>)1/2 13.770