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: wB97X-D/aug-cc-pVDZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C1 1A
Energy calculated at wB97X-D/aug-cc-pVDZ
 hartrees
Energy at 0K-306.439213
Energy at 298.15K 
HF Energy-306.439213
Nuclear repulsion energy240.870863
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 wB97X-D/aug-cc-pVDZ
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 3172 3037 8.47      
2 A 3159 3024 23.61      
3 A 3148 3014 13.64      
4 A 3093 2961 20.25      
5 A 3083 2951 6.84      
6 A 3068 2937 42.37      
7 A 1883 1803 448.45      
8 A 1525 1460 1.12      
9 A 1497 1433 8.21      
10 A 1450 1388 9.07      
11 A 1404 1344 26.80      
12 A 1349 1291 3.81      
13 A 1303 1247 20.86      
14 A 1264 1210 11.10      
15 A 1225 1173 44.94      
16 A 1199 1148 18.38      
17 A 1196 1145 154.50      
18 A 1102 1055 50.69      
19 A 1089 1042 35.46      
20 A 1020 977 14.97      
21 A 953 913 4.02      
22 A 907 868 7.29      
23 A 885 847 15.48      
24 A 818 783 4.33      
25 A 691 661 4.27      
26 A 648 620 4.96      
27 A 536 513 3.67      
28 A 492 471 4.16      
29 A 210 201 1.83      
30 A 145 139 1.25      

Unscaled Zero Point Vibrational Energy (zpe) 21756.5 cm-1
Scaled (by 0.9573) Zero Point Vibrational Energy (zpe) 20827.5 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 wB97X-D/aug-cc-pVDZ
ABC
0.24379 0.11969 0.08542

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/aug-cc-pVDZ

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.883 -0.001 0.003
C2 -0.026 1.206 0.163
C3 -1.404 0.665 -0.214
C4 -1.262 -0.821 0.129
O5 0.129 -1.128 -0.049
O6 2.080 -0.029 -0.067
H7 0.336 2.032 -0.456
H8 0.025 1.521 1.214
H9 -1.584 0.791 -1.289
H10 -2.229 1.137 0.331
H11 -1.834 -1.485 -0.527
H12 -1.529 -1.031 1.175

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.51972.39262.30001.35681.19952.15522.12682.89523.33043.14092.8721
C21.51971.52732.37402.34862.45241.09371.09942.16872.21063.31412.8779
C32.39261.52731.53192.36563.55622.22592.19411.09721.09532.21532.1954
C42.30002.37401.53191.43603.44073.32192.88462.17062.19311.09451.0997
O51.35682.34862.36561.43602.23973.19302.93732.85563.29222.05182.0630
O61.19952.45243.55623.44072.23972.72782.87593.94834.48234.20173.9459
H72.15521.09372.22593.32193.19302.72781.77402.43272.82854.13313.9388
H82.12681.09942.19412.88462.93732.87591.77403.06362.45123.94022.9876
H92.89522.16871.09722.17062.85563.94832.43273.06361.77782.41333.0645
H103.33042.21061.09532.19313.29224.48232.82852.45121.77782.78702.4292
H113.14093.31412.21531.09452.05184.20174.13313.94022.41332.78701.7878
H122.87212.87792.19541.09972.06303.94593.93882.98763.06452.42921.7878

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 103.485 C1 C2 H7 110.037
C1 C2 H8 107.502 C1 O5 C4 110.852
C2 C1 O5 109.338 C2 C1 O6 128.425
C2 C3 C4 101.796 C2 C3 H9 110.377
C2 C3 H10 113.885 C3 C2 H7 115.262
C3 C2 H8 112.270 C3 C4 O5 105.655
C3 C4 H11 113.975 C3 C4 H12 112.028
C4 C3 H9 110.200 C4 C3 H10 112.112
O5 C1 O6 122.237 O5 C4 H11 107.586
O5 C4 H12 108.164 H7 C2 H8 107.978
H9 C3 H10 108.363 H11 C4 H12 109.135
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.612      
2 C 0.382      
3 C 0.604      
4 C 1.055      
5 O -0.566      
6 O -0.543      
7 H -0.207      
8 H -0.183      
9 H -0.330      
10 H -0.212      
11 H -0.288      
12 H -0.324      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -4.561 1.537 0.405 4.830
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -41.144 1.770 0.262
y 1.770 -35.266 -0.125
z 0.262 -0.125 -33.524
Traceless
 xyz
x -6.749 1.770 0.262
y 1.770 2.068 -0.125
z 0.262 -0.125 4.681
Polar
3z2-r29.362
x2-y2-5.878
xy1.770
xz0.262
yz-0.125


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.304 0.309 -0.072
y 0.309 7.735 0.023
z -0.072 0.023 6.320


<r2> (average value of r2) Å2
<r2> 139.952
(<r2>)1/2 11.830