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

using model chemistry: HSEh1PBE/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 HSEh1PBE/aug-cc-pVDZ
 hartrees
Energy at 0K-306.219335
Energy at 298.15K 
HF Energy-306.219335
Nuclear repulsion energy241.021929
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 HSEh1PBE/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 3168 3048 7.75      
2 A 3155 3036 21.38      
3 A 3145 3026 13.60      
4 A 3090 2973 19.76      
5 A 3080 2964 5.33      
6 A 3066 2950 41.35      
7 A 1875 1804 436.72      
8 A 1509 1452 1.27      
9 A 1481 1425 8.77      
10 A 1444 1389 8.84      
11 A 1388 1336 27.02      
12 A 1334 1284 3.83      
13 A 1297 1248 19.72      
14 A 1253 1206 7.81      
15 A 1218 1172 40.67      
16 A 1190 1145 2.13      
17 A 1186 1141 165.25      
18 A 1094 1053 60.36      
19 A 1083 1042 24.23      
20 A 1017 979 17.73      
21 A 955 919 4.00      
22 A 895 861 9.35      
23 A 882 849 15.18      
24 A 816 785 4.03      
25 A 687 661 4.29      
26 A 642 618 4.77      
27 A 534 514 3.16      
28 A 492 473 3.84      
29 A 205 197 1.73      
30 A 148 143 1.23      

Unscaled Zero Point Vibrational Energy (zpe) 21663.3 cm-1
Scaled (by 0.9622) Zero Point Vibrational Energy (zpe) 20844.4 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 HSEh1PBE/aug-cc-pVDZ
ABC
0.24440 0.11979 0.08555

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/aug-cc-pVDZ

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.882 -0.001 0.003
C2 -0.026 1.202 0.164
C3 -1.401 0.666 -0.215
C4 -1.264 -0.817 0.128
O5 0.127 -1.129 -0.048
O6 2.080 -0.030 -0.068
H7 0.340 2.032 -0.448
H8 0.025 1.515 1.217
H9 -1.576 0.791 -1.291
H10 -2.228 1.141 0.325
H11 -1.836 -1.482 -0.528
H12 -1.534 -1.027 1.174

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.51582.38862.29941.35841.20002.15242.12312.88943.32903.14092.8743
C21.51581.52362.36862.34532.45041.09431.10012.16592.20923.31042.8747
C32.38861.52361.52832.36293.55262.22502.19171.09781.09582.21372.1937
C42.29942.36861.52831.43603.44073.31992.87842.16712.19121.09521.1003
O51.35842.34532.36291.43602.24123.19352.93252.85183.29172.05152.0641
O61.20002.45043.55263.44072.24122.72472.87453.94184.48154.20193.9494
H72.15241.09432.22503.31993.19352.72471.77212.43402.82604.13403.9372
H82.12311.10012.19172.87842.93252.87451.77213.06282.45203.93562.9823
H92.88942.16591.09782.16712.85183.94182.43403.06281.77712.41143.0629
H103.32902.20921.09582.19123.29174.48152.82602.45201.77712.78532.4295
H113.14093.31042.21371.09522.05154.20194.13403.93562.41142.78531.7867
H122.87432.87472.19371.10032.06413.94943.93722.98233.06292.42951.7867

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 103.603 C1 C2 H7 110.058
C1 C2 H8 107.442 C1 O5 C4 110.720
C2 C1 O5 109.250 C2 C1 O6 128.542
C2 C3 C4 101.813 C2 C3 H9 110.369
C2 C3 H10 113.999 C3 C2 H7 115.430
C3 C2 H8 112.293 C3 C4 O5 105.672
C3 C4 H11 114.074 C3 C4 H12 112.114
C4 C3 H9 110.151 C4 C3 H10 112.192
O5 C1 O6 122.208 O5 C4 H11 107.529
O5 C4 H12 108.217 H7 C2 H8 107.713
H9 C3 H10 108.217 H11 C4 H12 108.941
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.691      
2 C 0.342      
3 C 0.564      
4 C 1.072      
5 O -0.598      
6 O -0.594      
7 H -0.196      
8 H -0.162      
9 H -0.306      
10 H -0.201      
11 H -0.295      
12 H -0.318      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -4.482 1.522 0.397 4.750
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -41.138 1.742 0.266
y 1.742 -35.360 -0.108
z 0.266 -0.108 -33.638
Traceless
 xyz
x -6.639 1.742 0.266
y 1.742 2.028 -0.108
z 0.266 -0.108 4.611
Polar
3z2-r29.222
x2-y2-5.778
xy1.742
xz0.266
yz-0.108


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.382 0.321 -0.079
y 0.321 7.800 0.026
z -0.079 0.026 6.343


<r2> (average value of r2) Å2
<r2> 139.830
(<r2>)1/2 11.825