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: mPW1PW91/3-21G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C1 1A
Energy calculated at mPW1PW91/3-21G*
 hartrees
Energy at 0K-304.733454
Energy at 298.15K 
HF Energy-304.733454
Nuclear repulsion energy238.496635
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 mPW1PW91/3-21G*
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 3194 3033 7.77      
2 A 3187 3027 13.10      
3 A 3179 3018 7.83      
4 A 3120 2962 13.26      
5 A 3099 2943 32.32      
6 A 3098 2941 2.96      
7 A 1870 1775 285.52      
8 A 1572 1493 0.92      
9 A 1545 1467 9.19      
10 A 1513 1437 14.27      
11 A 1397 1327 1.61      
12 A 1386 1316 1.26      
13 A 1345 1278 8.16      
14 A 1288 1223 6.73      
15 A 1244 1182 4.26      
16 A 1206 1145 3.06      
17 A 1143 1086 173.90      
18 A 1120 1063 53.74      
19 A 1051 998 23.16      
20 A 1009 958 50.51      
21 A 944 897 2.46      
22 A 914 868 13.65      
23 A 891 847 17.99      
24 A 793 753 6.08      
25 A 683 648 6.50      
26 A 638 606 3.86      
27 A 533 506 2.01      
28 A 480 455 2.61      
29 A 216 205 3.78      
30 A 151 143 0.13      

Unscaled Zero Point Vibrational Energy (zpe) 21904.2 cm-1
Scaled (by 0.9496) Zero Point Vibrational Energy (zpe) 20800.3 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 mPW1PW91/3-21G*
ABC
0.23952 0.11690 0.08389

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/3-21G*

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.898 0.003 0.005
C2 -0.029 1.207 0.191
C3 -1.397 0.675 -0.251
C4 -1.297 -0.812 0.141
O5 0.122 -1.153 -0.044
O6 2.106 -0.030 -0.079
H7 0.339 2.057 -0.383
H8 -0.032 1.473 1.256
H9 -1.498 0.765 -1.336
H10 -2.238 1.172 0.234
H11 -1.882 -1.475 -0.494
H12 -1.562 -0.964 1.191

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.52992.40442.34531.39271.21172.16292.14172.84853.35433.18782.8970
C21.52991.53332.38492.37582.48171.08971.09712.16452.21033.33122.8398
C32.40441.53331.54102.38543.57732.22272.18391.09361.09062.21712.1894
C42.34532.38491.54101.47133.49863.34392.83972.17012.19831.08871.0939
O51.39272.37582.38541.47132.27933.23432.93332.82313.32482.07972.0971
O61.21172.48173.57733.49862.27932.75132.93413.89834.51834.26203.9921
H72.16291.08972.22273.34393.23432.75131.77902.43882.79354.17333.9011
H82.14171.09712.18392.83972.93332.93411.77903.06022.45013.89542.8781
H92.84852.16451.09362.17012.82313.89832.43883.06021.78252.42343.0631
H103.35432.21031.09062.19833.32484.51832.79352.45011.78252.76832.4373
H113.18783.33122.21711.08872.07974.26204.17333.89542.42342.76831.7904
H122.89702.83982.18941.09392.09713.99213.90112.87813.06312.43731.7904

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 103.431 C1 C2 H7 110.184
C1 C2 H8 108.099 C1 O5 C4 109.914
C2 C1 O5 108.673 C2 C1 O6 129.341
C2 C3 C4 101.751 C2 C3 H9 109.842
C2 C3 H10 113.714 C3 C2 H7 114.807
C3 C2 H8 111.166 C3 C4 O5 104.702
C3 C4 H11 113.831 C3 C4 H12 111.262
C4 C3 H9 109.747 C4 C3 H10 112.169
O5 C1 O6 121.981 O5 C4 H11 107.721
O5 C4 H12 108.780 H7 C2 H8 108.879
H9 C3 H10 109.387 H11 C4 H12 110.235
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.696      
2 C -0.561      
3 C -0.490      
4 C -0.184      
5 O -0.500      
6 O -0.481      
7 H 0.270      
8 H 0.270      
9 H 0.252      
10 H 0.240      
11 H 0.251      
12 H 0.238      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -4.272 1.773 0.467 4.649
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -39.521 2.079 0.266
y 2.079 -35.464 -0.080
z 0.266 -0.080 -33.306
Traceless
 xyz
x -5.136 2.079 0.266
y 2.079 0.950 -0.080
z 0.266 -0.080 4.186
Polar
3z2-r28.372
x2-y2-4.057
xy2.079
xz0.266
yz-0.080


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.482 0.501 -0.139
y 0.501 5.732 0.037
z -0.139 0.037 4.783


<r2> (average value of r2) Å2
<r2> 141.668
(<r2>)1/2 11.902