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

using model chemistry: BLYP/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 BLYP/cc-pVTZ
 hartrees
Energy at 0K-306.509861
Energy at 298.15K 
HF Energy-306.509861
Nuclear repulsion energy238.326421
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/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 3046 3037 11.60      
2 A 3035 3026 28.79      
3 A 3025 3016 18.07      
4 A 2985 2976 24.49      
5 A 2972 2963 7.39      
6 A 2960 2951 41.02      
7 A 1776 1770 353.61      
8 A 1488 1484 0.24      
9 A 1466 1462 4.21      
10 A 1434 1429 6.92      
11 A 1348 1344 9.80      
12 A 1305 1301 0.49      
13 A 1265 1262 3.14      
14 A 1221 1217 4.11      
15 A 1180 1177 3.59      
16 A 1161 1157 2.76      
17 A 1092 1089 168.51      
18 A 1063 1060 32.10      
19 A 993 990 30.56      
20 A 961 958 57.43      
21 A 898 895 5.04      
22 A 865 862 8.58      
23 A 835 833 32.93      
24 A 765 763 4.89      
25 A 655 653 2.55      
26 A 618 617 5.00      
27 A 519 517 2.80      
28 A 469 467 1.98      
29 A 193 193 1.54      
30 A 143 143 1.04      

Unscaled Zero Point Vibrational Energy (zpe) 20867.3 cm-1
Scaled (by 0.997) Zero Point Vibrational Energy (zpe) 20804.7 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/cc-pVTZ
ABC
0.23889 0.11694 0.08335

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

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.900 0.001 0.003
C2 -0.024 1.216 0.161
C3 -1.417 0.677 -0.209
C4 -1.286 -0.826 0.124
O5 0.130 -1.149 -0.044
O6 2.104 -0.029 -0.068
H7 0.332 2.040 -0.462
H8 0.030 1.545 1.208
H9 -1.607 0.811 -1.281
H10 -2.236 1.150 0.342
H11 -1.852 -1.481 -0.545
H12 -1.565 -1.048 1.163

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.53412.42262.34031.38451.20702.16732.14262.93003.35673.17292.9190
C21.53411.53882.40052.37822.47621.09311.09892.17842.22033.33302.9159
C32.42261.53881.54452.39843.59422.23232.20381.09631.09462.22622.2086
C42.34032.40051.54451.46223.48813.34332.92052.18032.20301.09371.0985
O51.38452.37822.39841.46222.26973.22272.97212.89553.32122.07092.0833
O61.20702.47623.59423.48812.26972.75312.89933.99344.51624.24094.0019
H72.16731.09312.23233.34333.22272.75311.76772.43712.83454.14413.9719
H82.14261.09892.20382.92052.97212.89931.76773.06752.45803.97113.0447
H92.93002.17841.09632.18032.89553.99342.43713.06751.77302.41913.0703
H103.35672.22031.09462.20303.32124.51622.83452.45801.77302.80252.4401
H113.17293.33302.22621.09372.07094.24094.14413.97112.41912.80251.7852
H122.91902.91592.20861.09852.08334.00193.97193.04473.07032.44011.7852

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 104.072 C1 C2 H7 110.035
C1 C2 H8 107.782 C1 O5 C4 110.563
C2 C1 O5 109.037 C2 C1 O6 128.821
C2 C3 C4 102.255 C2 C3 H9 110.391
C2 C3 H10 113.881 C3 C2 H7 114.974
C3 C2 H8 112.256 C3 C4 O5 105.788
C3 C4 H11 114.003 C3 C4 H12 112.268
C4 C3 H9 110.146 C4 C3 H10 112.054
O5 C1 O6 122.141 O5 C4 H11 107.365
O5 C4 H12 108.048 H7 C2 H8 107.497
H9 C3 H10 108.043 H11 C4 H12 109.047
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at BLYP/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.239      
2 C -0.196      
3 C -0.173      
4 C 0.025      
5 O -0.198      
6 O -0.255      
7 H 0.107      
8 H 0.106      
9 H 0.093      
10 H 0.089      
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
  -4.177 1.437 0.357 4.432
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -40.801 1.725 0.234
y 1.725 -35.745 -0.081
z 0.234 -0.081 -34.026
Traceless
 xyz
x -5.916 1.725 0.234
y 1.725 1.668 -0.081
z 0.234 -0.081 4.248
Polar
3z2-r28.495
x2-y2-5.056
xy1.725
xz0.234
yz-0.081


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.223 0.421 -0.080
y 0.421 7.614 0.016
z -0.080 0.016 6.137


<r2> (average value of r2) Å2
<r2> 142.715
(<r2>)1/2 11.946