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: B97D3/6-31+G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C1 1A
Energy calculated at B97D3/6-31+G**
 hartrees
Energy at 0K-306.325693
Energy at 298.15K 
HF Energy-306.325693
Nuclear repulsion energy238.937286
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 B97D3/6-31+G**
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 3097 3044 11.21      
2 A 3086 3033 30.94      
3 A 3075 3022 18.82      
4 A 3021 2969 29.36      
5 A 3011 2959 8.76      
6 A 3000 2948 48.73      
7 A 1806 1775 407.59      
8 A 1497 1472 0.28      
9 A 1475 1450 5.63      
10 A 1440 1416 7.97      
11 A 1363 1339 14.85      
12 A 1317 1294 1.33      
13 A 1276 1254 6.18      
14 A 1232 1211 5.79      
15 A 1190 1170 7.26      
16 A 1170 1150 3.50      
17 A 1124 1105 200.88      
18 A 1072 1054 12.39      
19 A 1019 1001 54.23      
20 A 980 963 44.18      
21 A 914 899 5.05      
22 A 877 862 10.24      
23 A 854 839 25.25      
24 A 783 769 4.61      
25 A 662 650 3.33      
26 A 623 612 4.82      
27 A 517 508 3.22      
28 A 471 463 2.26      
29 A 204 201 2.19      
30 A 145 143 0.98      

Unscaled Zero Point Vibrational Energy (zpe) 21149.9 cm-1
Scaled (by 0.9828) Zero Point Vibrational Energy (zpe) 20786.1 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 B97D3/6-31+G**
ABC
0.24025 0.11755 0.08401

See section I.F.4 to change rotational constant units
Geometric Data calculated at B97D3/6-31+G**

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.892 0.000 0.003
C2 -0.028 1.211 0.170
C3 -1.410 0.672 -0.223
C4 -1.280 -0.821 0.131
O5 0.127 -1.144 -0.047
O6 2.101 -0.028 -0.071
H7 0.335 2.048 -0.434
H8 0.011 1.517 1.227
H9 -1.573 0.791 -1.303
H10 -2.243 1.152 0.305
H11 -1.853 -1.490 -0.520
H12 -1.543 -1.022 1.181

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.52992.40902.32601.37701.21112.16682.13882.89963.35323.16682.8920
C21.52991.53432.38662.36962.47471.09471.10072.17502.21923.33132.8814
C32.40901.53431.53962.38573.58312.23252.19921.09841.09642.22662.2042
C42.32602.38661.53961.45533.47883.34052.88712.17712.20151.09521.1004
O51.37702.36962.38571.45532.26733.22172.95262.86543.31812.06492.0769
O61.21112.47473.58313.47882.26732.74892.90453.96014.51634.23913.9794
H72.16681.09472.23253.34053.22172.74891.77322.44432.82754.16063.9450
H82.13881.10072.19922.88712.95262.90451.77323.07152.46223.94572.9782
H92.89962.17501.09842.17712.86543.96012.44433.07151.77882.42783.0751
H103.35322.21921.09642.20153.31814.51632.82752.46221.77882.79492.4457
H113.16683.33132.22661.09522.06494.23914.16063.94572.42782.79491.7906
H122.89202.88142.20421.10042.07693.97943.94502.97823.07512.44571.7906

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 103.660 C1 C2 H7 110.190
C1 C2 H8 107.666 C1 O5 C4 110.391
C2 C1 O5 109.091 C2 C1 O6 128.696
C2 C3 C4 101.861 C2 C3 H9 110.314
C2 C3 H10 113.999 C3 C2 H7 115.225
C3 C2 H8 112.097 C3 C4 O5 105.577
C3 C4 H11 114.303 C3 C4 H12 112.137
C4 C3 H9 110.109 C4 C3 H10 112.173
O5 C1 O6 122.211 O5 C4 H11 107.276
O5 C4 H12 107.910 H7 C2 H8 107.741
H9 C3 H10 108.279 H11 C4 H12 109.277
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B97D3/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.306      
2 C -0.212      
3 C -0.311      
4 C -0.103      
5 O -0.274      
6 O -0.438      
7 H 0.190      
8 H 0.190      
9 H 0.174      
10 H 0.163      
11 H 0.160      
12 H 0.156      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -4.549 1.607 0.422 4.843
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -41.074 1.871 0.267
y 1.871 -35.691 -0.122
z 0.267 -0.122 -33.837
Traceless
 xyz
x -6.310 1.871 0.267
y 1.871 1.764 -0.122
z 0.267 -0.122 4.546
Polar
3z2-r29.091
x2-y2-5.383
xy1.871
xz0.267
yz-0.122


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.375 0.387 -0.104
y 0.387 7.675 0.044
z -0.104 0.044 6.146


<r2> (average value of r2) Å2
<r2> 141.951
(<r2>)1/2 11.914