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: B97D3/6-311G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C1 1A
Energy calculated at B97D3/6-311G**
 hartrees
Energy at 0K-306.390094
Energy at 298.15K 
HF Energy-306.390094
Nuclear repulsion energy239.512569
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 B97D3/6-311G**
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 3083 3039 14.65      
2 A 3069 3025 38.15      
3 A 3059 3016 21.20      
4 A 3008 2965 30.53      
5 A 2997 2954 9.37      
6 A 2982 2939 50.46      
7 A 1822 1796 368.84      
8 A 1495 1474 0.36      
9 A 1471 1450 5.78      
10 A 1438 1417 7.86      
11 A 1360 1341 11.99      
12 A 1315 1296 0.92      
13 A 1272 1254 6.18      
14 A 1233 1215 5.48      
15 A 1188 1171 6.44      
16 A 1171 1154 2.91      
17 A 1113 1097 187.84      
18 A 1069 1054 18.58      
19 A 1017 1003 57.02      
20 A 981 967 38.80      
21 A 914 901 3.91      
22 A 875 863 10.51      
23 A 851 839 26.60      
24 A 780 768 4.51      
25 A 665 655 3.71      
26 A 623 615 4.44      
27 A 518 511 2.74      
28 A 476 469 2.37      
29 A 208 205 2.11      
30 A 148 146 0.67      

Unscaled Zero Point Vibrational Energy (zpe) 21100.4 cm-1
Scaled (by 0.9857) Zero Point Vibrational Energy (zpe) 20798.7 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 B97D3/6-311G**
ABC
0.24089 0.11823 0.08448

See section I.F.4 to change rotational constant units
Geometric Data calculated at B97D3/6-311G**

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.894 0.001 0.003
C2 -0.030 1.209 0.174
C3 -1.406 0.670 -0.229
C4 -1.275 -0.819 0.133
O5 0.127 -1.143 -0.047
O6 2.093 -0.026 -0.073
H7 0.336 2.050 -0.419
H8 0.002 1.505 1.233
H9 -1.555 0.782 -1.309
H10 -2.244 1.151 0.286
H11 -1.852 -1.489 -0.510
H12 -1.539 -1.009 1.183

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.53042.40632.32221.37741.20152.16542.13732.88593.35343.16582.8863
C21.53041.53132.37942.36692.46821.09261.09912.16962.21693.32602.8659
C32.40631.53131.53762.38113.57042.23012.19401.09661.09452.22202.1979
C42.32222.37941.53761.45083.46593.33592.87002.17302.19991.09341.0991
O51.37742.36692.38111.45082.26033.22092.94292.85103.31552.06252.0756
O61.20152.46823.57043.46592.26032.74152.90153.93484.50734.22993.9667
H72.16541.09262.23013.33593.22092.74151.77092.44392.82104.16113.9294
H82.13731.09912.19402.87002.94292.90151.77093.06682.46233.92852.9492
H92.88592.16961.09662.17302.85103.93482.44393.06681.77662.42553.0695
H103.35342.21691.09452.19993.31554.50732.82102.46231.77662.78422.4426
H113.16583.32602.22201.09342.06254.22994.16113.92852.42552.78421.7871
H122.88632.86592.19791.09912.07563.96673.92942.94923.06952.44261.7871

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 103.613 C1 C2 H7 110.168
C1 C2 H8 107.610 C1 O5 C4 110.364
C2 C1 O5 108.866 C2 C1 O6 128.839
C2 C3 C4 101.666 C2 C3 H9 110.195
C2 C3 H10 114.158 C3 C2 H7 115.383
C3 C2 H8 111.988 C3 C4 O5 105.615
C3 C4 H11 114.184 C3 C4 H12 111.862
C4 C3 H9 110.032 C4 C3 H10 112.307
O5 C1 O6 122.294 O5 C4 H11 107.491
O5 C4 H12 108.183 H7 C2 H8 107.799
H9 C3 H10 108.353 H11 C4 H12 109.198
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B97D3/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.337      
2 C -0.286      
3 C -0.272      
4 C 0.000      
5 O -0.287      
6 O -0.302      
7 H 0.150      
8 H 0.148      
9 H 0.135      
10 H 0.128      
11 H 0.127      
12 H 0.121      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -4.129 1.446 0.393 4.392
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -40.010 1.783 0.248
y 1.783 -35.304 -0.080
z 0.248 -0.080 -33.487
Traceless
 xyz
x -5.614 1.783 0.248
y 1.783 1.445 -0.080
z 0.248 -0.080 4.170
Polar
3z2-r28.340
x2-y2-4.706
xy1.783
xz0.248
yz-0.080


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.574 0.467 -0.092
y 0.467 6.978 0.022
z -0.092 0.022 5.713


<r2> (average value of r2) Å2
<r2> 140.969
(<r2>)1/2 11.873