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

using model chemistry: PBEPBE/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 PBEPBE/aug-cc-pVDZ
 hartrees
Energy at 0K-306.178917
Energy at 298.15K 
HF Energy-306.178917
Nuclear repulsion energy238.692429
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 PBEPBE/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 3079 3060 8.98      
2 A 3067 3049 20.17      
3 A 3057 3038 14.56      
4 A 3006 2988 20.83      
5 A 2995 2977 6.10      
6 A 2978 2960 42.18      
7 A 1786 1775 384.78      
8 A 1456 1447 0.76      
9 A 1432 1423 7.09      
10 A 1396 1388 8.15      
11 A 1327 1319 16.29      
12 A 1283 1275 2.25      
13 A 1242 1234 9.80      
14 A 1205 1198 4.20      
15 A 1168 1161 15.75      
16 A 1144 1137 2.92      
17 A 1118 1111 167.60      
18 A 1047 1040 12.61      
19 A 1024 1018 54.02      
20 A 976 970 34.20      
21 A 920 914 5.19      
22 A 862 856 6.03      
23 A 842 836 25.52      
24 A 782 777 3.61      
25 A 658 654 2.53      
26 A 616 613 4.49      
27 A 513 510 2.47      
28 A 470 467 2.56      
29 A 198 197 1.48      
30 A 144 143 1.19      

Unscaled Zero Point Vibrational Energy (zpe) 20893.7 cm-1
Scaled (by 0.9939) Zero Point Vibrational Energy (zpe) 20766.2 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 PBEPBE/aug-cc-pVDZ
ABC
0.24000 0.11742 0.08386

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

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.891 0.003 0.004
C2 -0.028 1.211 0.163
C3 -1.412 0.672 -0.214
C4 -1.279 -0.821 0.128
O5 0.128 -1.145 -0.048
O6 2.102 -0.029 -0.067
H7 0.337 2.045 -0.458
H8 0.025 1.534 1.221
H9 -1.594 0.800 -1.297
H10 -2.243 1.150 0.333
H11 -1.853 -1.490 -0.536
H12 -1.550 -1.037 1.181

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.52632.40882.32501.37921.21352.16622.13962.91603.35413.17062.9027
C21.52631.53292.38692.37002.47551.10221.10812.17982.22283.33402.8991
C32.40881.53291.53792.38753.58702.23752.20661.10531.10372.22992.2104
C42.32502.38691.53791.45433.47853.34272.90552.18172.20401.10331.1084
O51.37922.37002.38751.45432.26793.22302.96582.88213.32152.06932.0825
O61.21352.47553.58703.47852.26792.75182.90183.98254.52054.24283.9889
H72.16621.10222.23753.34273.22302.75181.78312.44592.84354.15983.9681
H82.13961.10812.20662.90552.96582.90181.78313.08222.46573.96953.0145
H92.91602.17981.10532.18172.88213.98252.44593.08221.78932.42763.0851
H103.35412.22281.10372.20403.32154.52052.84352.46571.78932.80652.4457
H113.17063.33402.22991.10332.06934.24284.15983.96952.42762.80651.8012
H122.90272.89912.21041.10842.08253.98893.96813.01453.08512.44571.8012

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 103.890 C1 C2 H7 109.950
C1 C2 H8 107.562 C1 O5 C4 110.248
C2 C1 O5 109.213 C2 C1 O6 128.896
C2 C3 C4 102.025 C2 C3 H9 110.383
C2 C3 H10 113.936 C3 C2 H7 115.261
C3 C2 H8 112.345 C3 C4 O5 105.825
C3 C4 H11 114.180 C3 C4 H12 112.269
C4 C3 H9 110.178 C4 C3 H10 112.045
O5 C1 O6 121.891 O5 C4 H11 107.215
O5 C4 H12 107.943 H7 C2 H8 107.562
H9 C3 H10 108.186 H11 C4 H12 109.063
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.645      
2 C 0.502      
3 C 0.754      
4 C 1.141      
5 O -0.531      
6 O -0.558      
7 H -0.276      
8 H -0.248      
9 H -0.392      
10 H -0.289      
11 H -0.361      
12 H -0.387      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -4.361 1.490 0.378 4.624
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -41.311 1.719 0.254
y 1.719 -35.730 -0.102
z 0.254 -0.102 -34.041
Traceless
 xyz
x -6.425 1.719 0.254
y 1.719 1.945 -0.102
z 0.254 -0.102 4.480
Polar
3z2-r28.959
x2-y2-5.580
xy1.719
xz0.254
yz-0.102


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 10.020 0.352 -0.091
y 0.352 8.346 0.036
z -0.091 0.036 6.648


<r2> (average value of r2) Å2
<r2> 142.298
(<r2>)1/2 11.929