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: B3PW91/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 B3PW91/cc-pVTZ
 hartrees
Energy at 0K-306.490866
Energy at 298.15K 
HF Energy-306.490866
Nuclear repulsion energy241.444381
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 B3PW91/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 3139 3019 7.13      
2 A 3125 3005 21.09      
3 A 3115 2995 16.95      
4 A 3068 2951 20.07      
5 A 3058 2941 4.88      
6 A 3042 2925 39.85      
7 A 1876 1804 408.63      
8 A 1523 1464 1.13      
9 A 1493 1436 7.02      
10 A 1458 1402 8.68      
11 A 1397 1343 20.01      
12 A 1341 1290 1.39      
13 A 1303 1253 9.62      
14 A 1261 1213 8.01      
15 A 1221 1174 18.29      
16 A 1197 1151 2.08      
17 A 1178 1133 207.39      
18 A 1095 1053 14.35      
19 A 1076 1035 71.38      
20 A 1018 979 16.56      
21 A 945 909 3.85      
22 A 896 861 7.81      
23 A 879 845 15.84      
24 A 810 779 3.83      
25 A 688 661 4.36      
26 A 641 616 4.55      
27 A 534 514 2.71      
28 A 492 473 3.21      
29 A 201 194 1.61      
30 A 147 141 1.17      

Unscaled Zero Point Vibrational Energy (zpe) 21608.2 cm-1
Scaled (by 0.9616) Zero Point Vibrational Energy (zpe) 20778.4 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 B3PW91/cc-pVTZ
ABC
0.24501 0.12016 0.08573

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/cc-pVTZ

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.884 -0.002 0.003
C2 -0.026 1.201 0.163
C3 -1.400 0.666 -0.212
C4 -1.262 -0.818 0.125
O5 0.127 -1.128 -0.044
O6 2.076 -0.029 -0.069
H7 0.334 2.028 -0.446
H8 0.026 1.516 1.209
H9 -1.579 0.794 -1.281
H10 -2.222 1.136 0.326
H11 -1.831 -1.474 -0.532
H12 -1.540 -1.031 1.161

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.51672.38952.29921.35791.19422.14972.12052.88923.32373.13432.8769
C21.51671.52192.36772.34342.44621.08761.09362.15972.20313.30112.8761
C32.38951.52191.52792.36203.54762.21722.18521.09121.08902.20602.1876
C42.29922.36771.52791.43323.43523.31202.87762.16192.18661.08881.0937
O51.35792.34342.36201.43322.23753.18772.92802.85183.28372.04722.0592
O61.19422.44623.54763.43522.23752.72102.86813.93744.47044.19103.9485
H72.14971.08762.21723.31203.18772.72101.75942.42502.81474.11753.9305
H82.12051.09362.18522.87762.92802.86811.75943.04912.44443.92642.9902
H92.88922.15971.09122.16192.85183.93742.42503.04911.76412.40123.0487
H103.32372.20311.08902.18663.28374.47042.81472.44441.76412.77522.4211
H113.13433.30112.20601.08882.04724.19104.11753.92642.40122.77521.7737
H122.87692.87612.18761.09372.05923.94853.93052.99023.04872.42111.7737

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 103.694 C1 C2 H7 110.172
C1 C2 H8 107.547 C1 O5 C4 110.897
C2 C1 O5 109.092 C2 C1 O6 128.541
C2 C3 C4 101.855 C2 C3 H9 110.396
C2 C3 H10 114.064 C3 C2 H7 115.340
C3 C2 H8 112.292 C3 C4 O5 105.773
C3 C4 H11 113.874 C3 C4 H12 112.050
C4 C3 H9 110.148 C4 C3 H10 112.265
O5 C1 O6 122.366 O5 C4 H11 107.756
O5 C4 H12 108.414 H7 C2 H8 107.527
H9 C3 H10 108.028 H11 C4 H12 108.727
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.259      
2 C -0.203      
3 C -0.189      
4 C 0.034      
5 O -0.195      
6 O -0.281      
7 H 0.111      
8 H 0.112      
9 H 0.098      
10 H 0.094      
11 H 0.084      
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
  -4.289 1.451 0.379 4.543
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -40.326 1.711 0.249
y 1.711 -34.972 -0.077
z 0.249 -0.077 -33.308
Traceless
 xyz
x -6.187 1.711 0.249
y 1.711 1.846 -0.077
z 0.249 -0.077 4.341
Polar
3z2-r28.682
x2-y2-5.355
xy1.711
xz0.249
yz-0.077


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.724 0.377 -0.071
y 0.377 7.197 0.012
z -0.071 0.012 5.902


<r2> (average value of r2) Å2
<r2> 139.189
(<r2>)1/2 11.798