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: PBE1PBE/6-311G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C1 1A
Energy calculated at PBE1PBE/6-311G*
 hartrees
Energy at 0K-306.221862
Energy at 298.15K 
HF Energy-306.221862
Nuclear repulsion energy241.785624
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 PBE1PBE/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 A 3161 3030 11.17      
2 A 3151 3020 30.49      
3 A 3141 3010 16.89      
4 A 3085 2957 24.79      
5 A 3075 2947 6.70      
6 A 3065 2938 44.95      
7 A 1911 1832 419.69      
8 A 1540 1476 1.24      
9 A 1508 1446 9.74      
10 A 1474 1413 10.78      
11 A 1413 1354 19.09      
12 A 1357 1300 1.42      
13 A 1318 1264 14.06      
14 A 1278 1225 10.24      
15 A 1236 1184 25.41      
16 A 1213 1162 2.10      
17 A 1194 1144 211.26      
18 A 1110 1063 34.54      
19 A 1097 1051 54.01      
20 A 1026 984 16.62      
21 A 958 918 3.23      
22 A 908 870 10.08      
23 A 891 854 13.53      
24 A 821 787 4.47      
25 A 692 664 5.10      
26 A 644 617 4.52      
27 A 535 513 2.72      
28 A 496 476 3.66      
29 A 216 207 2.36      
30 A 154 147 0.71      

Unscaled Zero Point Vibrational Energy (zpe) 21833.6 cm-1
Scaled (by 0.9585) Zero Point Vibrational Energy (zpe) 20927.5 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 PBE1PBE/6-311G*
ABC
0.24538 0.12059 0.08620

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/6-311G*

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.882 -0.002 0.003
C2 -0.030 1.198 0.174
C3 -1.395 0.662 -0.228
C4 -1.257 -0.814 0.134
O5 0.126 -1.126 -0.047
O6 2.072 -0.027 -0.073
H7 0.338 2.039 -0.414
H8 0.003 1.495 1.229
H9 -1.544 0.773 -1.306
H10 -2.233 1.141 0.281
H11 -1.834 -1.486 -0.502
H12 -1.521 -1.005 1.180

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.51752.38322.29181.35611.19232.15352.12522.86393.33003.13602.8579
C21.51751.52032.35712.34052.44531.08961.09602.15932.20633.30382.8442
C32.38321.52031.52592.35443.53782.22072.18321.09371.09132.20942.1853
C42.29182.35711.52591.42903.42693.31392.84852.16162.19001.09021.0957
O51.35612.34052.35441.42902.23563.19382.91772.82503.28822.04362.0574
O61.19232.44533.53783.42692.23562.71882.87953.90324.47444.19153.9291
H72.15351.08962.22073.31393.19382.71881.76242.43712.81024.14103.9064
H82.12521.09602.18322.84852.91772.87951.76243.05532.45343.90512.9277
H92.86392.15931.09372.16162.82503.90322.43713.05531.76852.41483.0557
H103.33002.20631.09132.19003.28824.47442.81022.45341.76852.76992.4326
H113.13603.30382.20941.09022.04364.19154.14103.90512.41482.76991.7769
H122.85792.84422.18531.09572.05743.92913.90642.92773.05572.43261.7769

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 103.351 C1 C2 H7 110.304
C1 C2 H8 107.720 C1 O5 C4 110.722
C2 C1 O5 108.942 C2 C1 O6 128.554
C2 C3 C4 101.390 C2 C3 H9 110.320
C2 C3 H10 114.298 C3 C2 H7 115.624
C3 C2 H8 112.094 C3 C4 O5 105.605
C3 C4 H11 114.209 C3 C4 H12 111.888
C4 C3 H9 110.114 C4 C3 H10 112.540
O5 C1 O6 122.503 O5 C4 H11 107.671
O5 C4 H12 108.442 H7 C2 H8 107.481
H9 C3 H10 108.069 H11 C4 H12 108.764
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.444      
2 C -0.595      
3 C -0.507      
4 C -0.229      
5 O -0.280      
6 O -0.324      
7 H 0.268      
8 H 0.263      
9 H 0.248      
10 H 0.244      
11 H 0.239      
12 H 0.229      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -4.258 1.495 0.411 4.531
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -40.186 1.813 0.255
y 1.813 -35.265 -0.073
z 0.255 -0.073 -33.362
Traceless
 xyz
x -5.873 1.813 0.255
y 1.813 1.509 -0.073
z 0.255 -0.073 4.364
Polar
3z2-r28.727
x2-y2-4.921
xy1.813
xz0.255
yz-0.073


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.098 0.444 -0.084
y 0.444 6.588 0.017
z -0.084 0.017 5.495


<r2> (average value of r2) Å2
<r2> 138.768
(<r2>)1/2 11.780