return to home page Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
You are here: Calculated > Energy > Optimized > Energy

All results from a given calculation for C4H6O2 (γ–Butyrolactone)

using model chemistry: PBEPBEultrafine/cc-pVTZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C1 1A
Energy calculated at PBEPBEultrafine/cc-pVTZ
 hartrees
Energy at 0K-306.246133
Energy at 298.15K 
HF Energy-306.246133
Nuclear repulsion energy239.585694
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 PBEPBEultrafine/cc-pVTZ
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 A 3063 3042 6.98      
2 A 3048 3027 20.62      
3 A 3037 3016 18.92      
4 A 2995 2974 20.79      
5 A 2982 2962 5.54      
6 A 2962 2941 40.75      
7 A 1807 1794 357.53      
8 A 1471 1461 0.77      
9 A 1445 1435 6.24      
10 A 1411 1401 8.38      
11 A 1343 1333 12.99      
12 A 1294 1285 0.89      
13 A 1254 1246 6.31      
14 A 1218 1209 5.24      
15 A 1175 1167 8.80      
16 A 1154 1146 2.55      
17 A 1117 1109 184.55      
18 A 1055 1048 11.37      
19 A 1023 1016 59.00      
20 A 981 974 31.27      
21 A 918 912 3.95      
22 A 865 859 7.36      
23 A 845 840 22.73      
24 A 781 776 3.49      
25 A 663 658 3.07      
26 A 617 613 3.95      
27 A 515 512 2.06      
28 A 473 470 2.32      
29 A 203 201 1.50      
30 A 147 146 0.98      

Unscaled Zero Point Vibrational Energy (zpe) 20930.9 cm-1
Scaled (by 0.9931) Zero Point Vibrational Energy (zpe) 20786.5 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 PBEPBEultrafine/cc-pVTZ
ABC
0.24151 0.11828 0.08448

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

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.891 0.002 0.003
C2 -0.029 1.207 0.167
C3 -1.407 0.670 -0.219
C4 -1.274 -0.818 0.129
O5 0.127 -1.142 -0.047
O6 2.094 -0.028 -0.070
H7 0.335 2.043 -0.439
H8 0.017 1.519 1.222
H9 -1.577 0.792 -1.298
H10 -2.239 1.147 0.313
H11 -1.851 -1.483 -0.525
H12 -1.547 -1.024 1.177

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.52492.40332.31841.37621.20512.16192.13412.89953.34733.16272.8935
C21.52491.52842.37772.36322.46671.09531.10162.17092.21573.32192.8812
C32.40331.52841.53432.37973.57242.22902.19641.09891.09672.21952.1994
C42.31842.37771.53431.44793.46473.33192.88542.17302.19761.09661.1019
O51.37622.36322.37971.44792.26053.21592.95002.86483.31122.06332.0761
O61.20512.46673.57243.46472.26052.74222.89443.95614.50534.22923.9748
H72.16191.09532.22903.33193.21592.74221.77112.44062.82724.15003.9449
H82.13411.10162.19642.88542.95002.89441.77113.06872.46023.94392.9860
H92.89952.17091.09892.17302.86483.95612.44063.06871.77702.41873.0696
H103.34732.21571.09672.19763.31124.50532.82722.46021.77702.78752.4373
H113.16273.32192.21951.09662.06334.22924.15003.94392.41872.78751.7881
H122.89352.88122.19941.10192.07613.97483.94492.98603.06962.43731.7881

picture of γ–Butyrolactone state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 103.835 C1 C2 H7 110.119
C1 C2 H8 107.595 C1 O5 C4 110.331
C2 C1 O5 108.991 C2 C1 O6 128.884
C2 C3 C4 101.849 C2 C3 H9 110.371
C2 C3 H10 114.129 C3 C2 H7 115.340
C3 C2 H8 112.245 C3 C4 O5 105.833
C3 C4 H11 114.018 C3 C4 H12 112.040
C4 C3 H9 110.125 C4 C3 H10 112.210
O5 C1 O6 122.123 O5 C4 H11 107.564
O5 C4 H12 108.258 H7 C2 H8 107.449
H9 C3 H10 108.066 H11 C4 H12 108.851
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.208      
2 C -0.201      
3 C -0.186      
4 C 0.013      
5 O -0.162      
6 O -0.245      
7 H 0.109      
8 H 0.111      
9 H 0.098      
10 H 0.092      
11 H 0.087      
12 H 0.076      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -4.121 1.398 0.367 4.367
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -40.415 1.668 0.241
y 1.668 -35.344 -0.067
z 0.241 -0.067 -33.751
Traceless
 xyz
x -5.868 1.668 0.241
y 1.668 1.739 -0.067
z 0.241 -0.067 4.129
Polar
3z2-r28.258
x2-y2-5.071
xy1.668
xz0.241
yz-0.067


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.163 0.417 -0.081
y 0.417 7.573 0.016
z -0.081 0.016 6.138


<r2> (average value of r2) Å2
<r2> 141.101
(<r2>)1/2 11.879