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

using model chemistry: B97D3/TZVP

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/TZVP
 hartrees
Energy at 0K-306.417103
Energy at 298.15K 
HF Energy-306.417103
Nuclear repulsion energy239.579332
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/TZVP
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 3087 3042 11.22      
2 A 3075 3030 31.14      
3 A 3065 3020 18.73      
4 A 3014 2971 27.24      
5 A 3002 2959 7.33      
6 A 2988 2945 45.97      
7 A 1808 1782 389.05      
8 A 1496 1475 0.39      
9 A 1474 1453 6.20      
10 A 1440 1419 8.03      
11 A 1363 1343 10.86      
12 A 1318 1299 0.52      
13 A 1277 1259 5.70      
14 A 1236 1218 5.73      
15 A 1191 1174 4.49      
16 A 1174 1157 2.91      
17 A 1113 1097 189.73      
18 A 1073 1058 19.33      
19 A 1013 998 48.63      
20 A 978 964 49.13      
21 A 914 901 4.29      
22 A 877 864 11.27      
23 A 852 839 32.07      
24 A 778 767 4.76      
25 A 666 656 3.54      
26 A 625 616 4.80      
27 A 517 510 3.04      
28 A 477 471 2.01      
29 A 205 202 2.20      
30 A 147 144 0.83      

Unscaled Zero Point Vibrational Energy (zpe) 21119.9 cm-1
Scaled (by 0.9856) Zero Point Vibrational Energy (zpe) 20815.8 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/TZVP
ABC
0.24122 0.11827 0.08448

See section I.F.4 to change rotational constant units
Geometric Data calculated at B97D3/TZVP

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.893 0.000 0.003
C2 -0.029 1.208 0.171
C3 -1.406 0.670 -0.224
C4 -1.277 -0.818 0.132
O5 0.128 -1.143 -0.048
O6 2.093 -0.027 -0.071
H7 0.334 2.045 -0.429
H8 0.009 1.510 1.226
H9 -1.564 0.786 -1.302
H10 -2.238 1.149 0.299
H11 -1.853 -1.485 -0.513
H12 -1.541 -1.013 1.180

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.52842.40482.32211.37621.20252.16292.13422.89023.34763.16382.8867
C21.52841.53022.37992.36622.46641.09171.09792.16852.21323.32372.8698
C32.40481.53021.53572.38123.57032.22692.19341.09541.09342.21982.1958
C42.32212.37991.53571.45293.46693.33252.87592.17092.19601.09241.0979
O51.37622.36622.38121.45292.25973.21682.94532.85573.31222.06332.0758
O61.20252.46643.57033.46692.25972.74052.89523.94254.50224.22943.9671
H72.16291.09172.22693.33253.21682.74051.76912.43862.81884.15313.9309
H82.13421.09792.19342.87592.94532.89521.76913.06392.45733.93232.9615
H92.89022.16851.09542.17092.85573.94252.43863.06391.77462.42153.0653
H103.34762.21321.09342.19603.31224.50222.81882.45731.77462.78352.4365
H113.16383.32372.21981.09242.06334.22944.15313.93232.42152.78351.7853
H122.88672.86982.19581.09792.07583.96713.93092.96153.06532.43651.7853

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 103.669 C1 C2 H7 110.163
C1 C2 H8 107.576 C1 O5 C4 110.301
C2 C1 O5 108.991 C2 C1 O6 128.757
C2 C3 C4 101.836 C2 C3 H9 110.266
C2 C3 H10 114.010 C3 C2 H7 115.263
C3 C2 H8 112.100 C3 C4 O5 105.612
C3 C4 H11 114.208 C3 C4 H12 111.902
C4 C3 H9 110.073 C4 C3 H10 112.200
O5 C1 O6 122.250 O5 C4 H11 107.471
O5 C4 H12 108.136 H7 C2 H8 107.792
H9 C3 H10 108.341 H11 C4 H12 109.197
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B97D3/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.149      
2 C -0.202      
3 C -0.258      
4 C -0.093      
5 O -0.144      
6 O -0.261      
7 H 0.151      
8 H 0.142      
9 H 0.135      
10 H 0.131      
11 H 0.132      
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
  -4.380 1.578 0.410 4.674
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -40.713 1.815 0.270
y 1.815 -35.543 -0.113
z 0.270 -0.113 -33.665
Traceless
 xyz
x -6.109 1.815 0.270
y 1.815 1.646 -0.113
z 0.270 -0.113 4.463
Polar
3z2-r28.927
x2-y2-5.170
xy1.815
xz0.270
yz-0.113


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.104 0.443 -0.102
y 0.443 7.434 0.029
z -0.102 0.029 6.069


<r2> (average value of r2) Å2
<r2> 141.157
(<r2>)1/2 11.881