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: TPSSh/aug-cc-pVTZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C1 1A
Energy calculated at TPSSh/aug-cc-pVTZ
 hartrees
Energy at 0K-306.623154
Energy at 298.15K 
HF Energy-306.623154
Nuclear repulsion energy240.527699
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 TPSSh/aug-cc-pVTZ
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 3125 3016 10.54      
2 A 3115 3007 24.74      
3 A 3104 2996 16.47      
4 A 3056 2950 22.33      
5 A 3045 2939 6.22      
6 A 3037 2931 39.45      
7 A 1831 1768 413.60      
8 A 1532 1479 0.48      
9 A 1507 1454 4.81      
10 A 1473 1422 7.08      
11 A 1393 1345 17.16      
12 A 1344 1297 1.59      
13 A 1305 1260 5.30      
14 A 1260 1216 6.09      
15 A 1218 1175 9.42      
16 A 1195 1153 3.56      
17 A 1156 1116 201.76      
18 A 1093 1055 10.10      
19 A 1047 1011 69.36      
20 A 1004 969 27.44      
21 A 933 901 5.05      
22 A 886 856 9.65      
23 A 869 838 20.64      
24 A 797 770 3.85      
25 A 673 649 4.29      
26 A 629 607 4.17      
27 A 523 505 3.17      
28 A 482 465 2.89      
29 A 199 192 1.72      
30 A 145 140 1.12      

Unscaled Zero Point Vibrational Energy (zpe) 21487.6 cm-1
Scaled (by 0.9652) Zero Point Vibrational Energy (zpe) 20739.8 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 TPSSh/aug-cc-pVTZ
ABC
0.24321 0.11919 0.08511

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

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.887 0.001 0.004
C2 -0.027 1.205 0.168
C3 -1.403 0.668 -0.219
C4 -1.272 -0.818 0.128
O5 0.129 -1.134 -0.045
O6 2.084 -0.029 -0.071
H7 0.333 2.036 -0.436
H8 0.015 1.512 1.217
H9 -1.570 0.789 -1.291
H10 -2.228 1.143 0.311
H11 -1.835 -1.481 -0.526
H12 -1.539 -1.026 1.168

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.52072.39592.31231.36571.19982.15432.12512.88703.33223.14432.8799
C21.52071.52742.37602.35382.45671.08801.09402.16422.20693.31132.8746
C32.39591.52741.53192.37133.55922.22092.18821.09151.08962.21282.1936
C42.31232.37601.53191.44593.45333.32242.87602.16482.18951.08841.0932
O51.36572.35382.37131.44592.24653.20012.93362.85223.29612.05172.0647
O61.19982.45673.55923.45332.24652.73122.88353.93804.48494.20453.9569
H72.15431.08802.22093.32243.20012.73121.76282.43072.81324.13203.9305
H82.12511.09402.18822.87602.93362.88351.76283.05422.44763.92662.9762
H92.88702.16421.09152.16482.85223.93802.43073.05421.76782.40943.0563
H103.33222.20691.08962.18953.29614.48492.81322.44761.76782.78142.4317
H113.14433.31132.21281.08842.05174.20454.13203.92662.40942.78141.7789
H122.87992.87462.19361.09322.06473.95693.93052.97623.05632.43171.7789

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 103.629 C1 C2 H7 110.239
C1 C2 H8 107.612 C1 O5 C4 110.624
C2 C1 O5 109.152 C2 C1 O6 128.733
C2 C3 C4 101.906 C2 C3 H9 110.352
C2 C3 H10 113.929 C3 C2 H7 115.203
C3 C2 H8 112.113 C3 C4 O5 105.528
C3 C4 H11 114.162 C3 C4 H12 112.278
C4 C3 H9 110.084 C4 C3 H10 112.173
O5 C1 O6 122.113 O5 C4 H11 107.262
O5 C4 H12 108.002 H7 C2 H8 107.778
H9 C3 H10 108.291 H11 C4 H12 109.253
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at TPSSh/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.508      
2 C 0.050      
3 C -0.055      
4 C 0.175      
5 O -0.354      
6 O -0.686      
7 H 0.054      
8 H 0.040      
9 H 0.035      
10 H 0.068      
11 H 0.083      
12 H 0.082      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -4.416 1.497 0.395 4.680
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.508 0.320 -0.080
y 0.320 7.939 0.029
z -0.080 0.029 6.386


<r2> (average value of r2) Å2
<r2> 140.248
(<r2>)1/2 11.843