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

using model chemistry: B97D3/aug-cc-pVQZ

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/aug-cc-pVQZ
 hartrees
Energy at 0K-306.446628
Energy at 298.15K 
HF Energy-306.446628
Nuclear repulsion energy239.857195
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/aug-cc-pVQZ
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 3077 3077 11.32      
2 A 3065 3065 28.68      
3 A 3055 3055 19.17      
4 A 3007 3007 25.89      
5 A 2996 2996 7.25      
6 A 2981 2981 45.49      
7 A 1801 1801 401.80      
8 A 1494 1494 0.47      
9 A 1471 1471 4.96      
10 A 1436 1436 7.38      
11 A 1361 1361 12.70      
12 A 1315 1315 1.00      
13 A 1275 1275 4.25      
14 A 1234 1234 4.59      
15 A 1191 1191 6.05      
16 A 1172 1172 2.89      
17 A 1115 1115 184.29      
18 A 1071 1071 16.14      
19 A 1016 1016 53.73      
20 A 981 981 45.93      
21 A 915 915 5.03      
22 A 875 875 9.04      
23 A 849 849 30.11      
24 A 780 780 4.31      
25 A 667 667 3.09      
26 A 625 625 4.73      
27 A 520 520 3.04      
28 A 477 477 2.15      
29 A 198 198 1.55      
30 A 141 141 1.12      

Unscaled Zero Point Vibrational Energy (zpe) 21080.3 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 21080.3 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 B97D3/aug-cc-pVQZ
ABC
0.24191 0.11850 0.08457

See section I.F.4 to change rotational constant units
Geometric Data calculated at B97D3/aug-cc-pVQZ

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.892 0.000 0.003
C2 -0.027 1.208 0.165
C3 -1.407 0.671 -0.216
C4 -1.275 -0.820 0.127
O5 0.128 -1.139 -0.046
O6 2.090 -0.028 -0.069
H7 0.332 2.038 -0.444
H8 0.020 1.520 1.215
H9 -1.582 0.796 -1.288
H10 -2.231 1.144 0.322
H11 -1.844 -1.480 -0.529
H12 -1.545 -1.029 1.169

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.52612.40542.32051.37281.20052.16002.13062.90203.34173.15642.8911
C21.52611.52952.38142.36162.46231.09021.09642.16782.21103.31802.8837
C32.40541.52951.53532.37993.56972.22432.19221.09381.09182.21692.1965
C42.32052.38141.53531.44953.46283.32812.88742.16972.19341.09121.0964
O51.37282.36162.37991.44952.25513.20852.94522.86593.30432.05942.0707
O61.20052.46233.56973.46282.25512.73812.88633.95574.49474.21913.9688
H72.16001.09022.22433.32813.20852.73811.76532.43292.82074.13753.9408
H82.13061.09642.19222.88742.94522.88631.76533.05872.45103.93952.9917
H92.90202.16781.09382.16972.86593.95572.43293.05871.77072.41323.0608
H103.34172.21101.09182.19343.30434.49472.82072.45101.77072.78602.4314
H113.15643.31802.21691.09122.05944.21914.13753.93952.41322.78601.7826
H122.89112.88372.19651.09642.07073.96883.94082.99173.06082.43141.7826

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 103.852 C1 C2 H7 110.180
C1 C2 H8 107.541 C1 O5 C4 110.583
C2 C1 O5 108.996 C2 C1 O6 128.733
C2 C3 C4 101.975 C2 C3 H9 110.349
C2 C3 H10 113.980 C3 C2 H7 115.191
C3 C2 H8 112.145 C3 C4 O5 105.715
C3 C4 H11 114.077 C3 C4 H12 112.081
C4 C3 H9 110.099 C4 C3 H10 112.115
O5 C1 O6 122.270 O5 C4 H11 107.461
O5 C4 H12 108.044 H7 C2 H8 107.669
H9 C3 H10 108.225 H11 C4 H12 109.145
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B97D3/aug-cc-pVQZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.681      
2 C -0.534      
3 C -0.590      
4 C -0.245      
5 O -0.504      
6 O -0.590      
7 H 0.359      
8 H 0.230      
9 H 0.255      
10 H 0.330      
11 H 0.418      
12 H 0.191      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -4.326 1.466 0.379 4.584
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -40.900 1.686 0.259
y 1.686 -35.441 -0.104
z 0.259 -0.104 -33.715
Traceless
 xyz
x -6.322 1.686 0.259
y 1.686 1.866 -0.104
z 0.259 -0.104 4.456
Polar
3z2-r28.912
x2-y2-5.459
xy1.686
xz0.259
yz-0.104


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.754 0.333 -0.081
y 0.333 8.184 0.031
z -0.081 0.031 6.555


<r2> (average value of r2) Å2
<r2> 141.005
(<r2>)1/2 11.875