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

using model chemistry: BLYP/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 BLYP/6-311G**
 hartrees
Energy at 0K-306.478628
Energy at 298.15K 
HF Energy-306.478628
Nuclear repulsion energy237.981158
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 BLYP/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 3045 3033 14.16      
2 A 3035 3023 32.47      
3 A 3024 3012 19.14      
4 A 2980 2969 27.17      
5 A 2967 2956 8.26      
6 A 2956 2944 43.92      
7 A 1789 1782 350.10      
8 A 1486 1480 0.24      
9 A 1464 1458 5.37      
10 A 1433 1427 7.61      
11 A 1345 1339 8.63      
12 A 1304 1299 0.40      
13 A 1262 1257 4.29      
14 A 1218 1213 4.85      
15 A 1176 1172 4.08      
16 A 1158 1154 2.80      
17 A 1086 1082 158.47      
18 A 1059 1055 43.43      
19 A 993 989 35.47      
20 A 960 957 52.49      
21 A 898 894 4.15      
22 A 864 861 9.85      
23 A 835 832 33.22      
24 A 763 760 5.61      
25 A 652 650 2.81      
26 A 616 614 4.90      
27 A 516 514 2.77      
28 A 468 466 2.07      
29 A 201 200 2.09      
30 A 148 147 0.68      

Unscaled Zero Point Vibrational Energy (zpe) 20850.2 cm-1
Scaled (by 0.9961) Zero Point Vibrational Energy (zpe) 20768.9 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 BLYP/6-311G**
ABC
0.23784 0.11668 0.08324

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

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.902 0.002 0.003
C2 -0.028 1.218 0.169
C3 -1.417 0.676 -0.220
C4 -1.287 -0.826 0.130
O5 0.129 -1.151 -0.046
O6 2.106 -0.028 -0.071
H7 0.334 2.053 -0.441
H8 0.014 1.533 1.224
H9 -1.585 0.799 -1.300
H10 -2.249 1.155 0.312
H11 -1.859 -1.491 -0.527
H12 -1.558 -1.032 1.177

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.53942.42512.34301.38831.20662.17422.14992.91833.36903.18272.9151
C21.53941.54142.40052.38352.48191.09571.10182.18122.22643.34282.9020
C32.42511.54141.54732.39983.59552.23872.20671.09931.09742.23252.2113
C42.34302.40051.54731.46353.49073.35262.90762.18422.20981.09611.1014
O51.38832.38352.39981.46352.27323.23462.97142.88303.33192.07372.0875
O61.20662.48193.59553.49072.27322.75782.91313.97674.52834.25033.9988
H72.17421.09572.23873.35263.23462.75781.77322.44802.83594.16833.9646
H82.14991.10182.20672.90762.97142.91311.77323.07662.46903.96493.0096
H92.91832.18121.09932.18422.88303.97672.44803.07661.77892.43183.0801
H103.36902.22641.09742.20983.33194.52832.83592.46901.77892.80332.4518
H113.18273.34282.23251.09612.07374.25034.16833.96492.43182.80331.7902
H122.91512.90202.21131.10142.08753.99883.96463.00963.08012.45181.7902

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 103.847 C1 C2 H7 110.057
C1 C2 H8 107.826 C1 O5 C4 110.462
C2 C1 O5 108.893 C2 C1 O6 128.930
C2 C3 C4 102.009 C2 C3 H9 110.259
C2 C3 H10 114.014 C3 C2 H7 115.149
C3 C2 H8 112.134 C3 C4 O5 105.664
C3 C4 H11 114.160 C3 C4 H12 112.108
C4 C3 H9 110.087 C4 C3 H10 112.226
O5 C1 O6 122.176 O5 C4 H11 107.354
O5 C4 H12 108.120 H7 C2 H8 107.591
H9 C3 H10 108.152 H11 C4 H12 109.112
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at BLYP/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.299      
2 C -0.267      
3 C -0.255      
4 C -0.004      
5 O -0.275      
6 O -0.273      
7 H 0.143      
8 H 0.142      
9 H 0.128      
10 H 0.122      
11 H 0.124      
12 H 0.117      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -4.090 1.450 0.376 4.355
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -40.383 1.806 0.235
y 1.806 -35.774 -0.080
z 0.235 -0.080 -33.928
Traceless
 xyz
x -5.532 1.806 0.235
y 1.806 1.381 -0.080
z 0.235 -0.080 4.150
Polar
3z2-r28.301
x2-y2-4.609
xy1.806
xz0.235
yz-0.080


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.707 0.487 -0.092
y 0.487 7.087 0.021
z -0.092 0.021 5.766


<r2> (average value of r2) Å2
<r2> 142.872
(<r2>)1/2 11.953