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: B2PLYP/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 B2PLYP/6-311G**
 hartrees
Energy at 0K-306.287203
Energy at 298.15K 
HF Energy-305.968907
Nuclear repulsion energy240.706095
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 B2PLYP/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 3158 3158 12.55      
2 A 3151 3151 25.52      
3 A 3138 3138 15.38      
4 A 3084 3084 22.65      
5 A 3074 3074 6.57      
6 A 3066 3066 41.44      
7 A 1862 1862 369.40      
8 A 1543 1543 0.55      
9 A 1514 1514 6.86      
10 A 1481 1481 8.72      
11 A 1410 1410 13.53      
12 A 1359 1359 1.12      
13 A 1318 1318 9.30      
14 A 1274 1274 9.07      
15 A 1228 1228 12.75      
16 A 1209 1209 3.24      
17 A 1170 1170 211.72      
18 A 1105 1105 12.63      
19 A 1070 1070 73.44      
20 A 1015 1015 21.05      
21 A 946 946 4.08      
22 A 905 905 10.97      
23 A 883 883 20.75      
24 A 809 809 5.61      
25 A 682 682 4.48      
26 A 641 641 3.97      
27 A 534 534 3.23      
28 A 490 490 3.29      
29 A 220 220 2.60      
30 A 154 154 0.45      

Unscaled Zero Point Vibrational Energy (zpe) 21746.3 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 21746.3 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 B2PLYP/6-311G**
ABC
0.24320 0.11941 0.08542

See section I.F.4 to change rotational constant units
Geometric Data calculated at B2PLYP/6-311G**

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.887 -0.002 0.004
C2 -0.029 1.203 0.178
C3 -1.398 0.667 -0.235
C4 -1.268 -0.814 0.138
O5 0.124 -1.135 -0.050
O6 2.082 -0.027 -0.074
H7 0.341 2.043 -0.407
H8 -0.004 1.490 1.234
H9 -1.534 0.769 -1.313
H10 -2.237 1.149 0.267
H11 -1.848 -1.485 -0.493
H12 -1.526 -0.992 1.186

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.52452.39332.30721.36661.19752.15682.12972.86243.34003.15062.8636
C21.52451.52762.36792.35442.45631.08821.09442.16322.21033.31462.8420
C32.39331.52761.53222.36593.55222.22442.18591.09201.09002.21322.1878
C42.30722.36791.53221.44143.44803.32392.84712.16402.19291.08831.0937
O51.36662.35442.36591.44142.24963.20532.92482.82343.30052.05152.0665
O61.19752.45633.55223.44802.24962.72542.89223.90464.48914.21263.9415
H72.15681.08822.22443.32393.20532.72541.76612.44132.81004.15273.9032
H82.12971.09442.18592.84712.92482.89221.76613.05792.45673.90262.9117
H92.86242.16321.09202.16402.82343.90462.44133.05791.77092.41913.0576
H103.34002.21031.09002.19293.30054.48912.81002.45671.77092.76902.4365
H113.15063.31462.21321.08832.05154.21264.15273.90262.41912.76901.7789
H122.86362.84202.18781.09372.06653.94153.90322.91173.05762.43651.7789

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 103.285 C1 C2 H7 110.158
C1 C2 H8 107.692 C1 O5 C4 110.470
C2 C1 O5 108.930 C2 C1 O6 128.554
C2 C3 C4 101.407 C2 C3 H9 110.228
C2 C3 H10 114.178 C3 C2 H7 115.477
C3 C2 H8 111.901 C3 C4 O5 105.390
C3 C4 H11 114.179 C3 C4 H12 111.765
C4 C3 H9 109.965 C4 C3 H10 112.407
O5 C1 O6 122.515 O5 C4 H11 107.563
O5 C4 H12 108.427 H7 C2 H8 108.027
H9 C3 H10 108.501 H11 C4 H12 109.227
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B2PLYP/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.354      
2 C -0.295      
3 C -0.276      
4 C 0.012      
5 O -0.302      
6 O -0.305      
7 H 0.152      
8 H 0.150      
9 H 0.135      
10 H 0.129      
11 H 0.127      
12 H 0.119      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -4.190 1.491 0.415 4.467
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -40.377 1.826 0.246
y 1.826 -35.735 -0.106
z 0.246 -0.106 -33.754
Traceless
 xyz
x -5.633 1.826 0.246
y 1.826 1.331 -0.106
z 0.246 -0.106 4.302
Polar
3z2-r28.604
x2-y2-4.642
xy1.826
xz0.246
yz-0.106


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.251 0.451 -0.092
y 0.451 6.665 0.018
z -0.092 0.018 5.546


<r2> (average value of r2) Å2
<r2> 139.970
(<r2>)1/2 11.831