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

using model chemistry: HF/6-311+G(3df,2p)

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C1 1A
Energy calculated at HF/6-311+G(3df,2p)
 hartrees
Energy at 0K-304.814691
Energy at 298.15K 
HF Energy-304.814691
Nuclear repulsion energy243.657948
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 HF/6-311+G(3df,2p)
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 3270 2971 17.17 78.43 0.32 0.48
2 A 3263 2965 31.43 70.63 0.67 0.80
3 A 3244 2947 27.84 107.28 0.18 0.30
4 A 3192 2900 31.04 32.87 0.46 0.63
5 A 3188 2897 16.75 50.40 0.22 0.36
6 A 3187 2896 30.22 200.68 0.11 0.19
7 A 2031 1845 580.63 13.23 0.38 0.55
8 A 1660 1509 1.30 3.61 0.69 0.81
9 A 1625 1477 7.03 4.26 0.75 0.85
10 A 1590 1445 9.26 4.98 0.75 0.86
11 A 1539 1398 36.44 0.65 0.30 0.46
12 A 1467 1333 7.09 0.23 0.66 0.79
13 A 1433 1302 20.71 0.86 0.71 0.83
14 A 1373 1247 23.40 4.48 0.71 0.83
15 A 1329 1208 41.28 3.09 0.73 0.85
16 A 1307 1188 145.07 0.55 0.57 0.73
17 A 1307 1187 71.11 0.49 0.72 0.84
18 A 1200 1091 27.83 1.06 0.72 0.84
19 A 1189 1080 87.66 1.58 0.74 0.85
20 A 1079 980 6.64 3.22 0.72 0.83
21 A 996 905 7.03 9.95 0.08 0.16
22 A 968 879 10.76 1.92 0.24 0.38
23 A 951 864 8.87 8.33 0.08 0.14
24 A 873 794 5.82 5.38 0.13 0.22
25 A 741 673 9.93 3.43 0.30 0.46
26 A 696 633 6.16 1.31 0.53 0.70
27 A 583 530 6.78 0.85 0.68 0.81
28 A 535 486 6.47 1.12 0.38 0.55
29 A 218 198 2.52 0.15 0.72 0.83
30 A 153 139 1.24 0.29 0.74 0.85

Unscaled Zero Point Vibrational Energy (zpe) 23094.4 cm-1
Scaled (by 0.9086) Zero Point Vibrational Energy (zpe) 20983.6 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 HF/6-311+G(3df,2p)
ABC
0.24841 0.12251 0.08731

See section I.F.4 to change rotational constant units
Geometric Data calculated at HF/6-311+G(3df,2p)

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.879 -0.009 0.002
C2 -0.019 1.200 0.166
C3 -1.395 0.661 -0.214
C4 -1.247 -0.822 0.126
O5 0.130 -1.107 -0.044
O6 2.050 -0.031 -0.071
H7 0.339 2.019 -0.437
H8 0.027 1.502 1.206
H9 -1.569 0.785 -1.275
H10 -2.211 1.127 0.319
H11 -1.806 -1.477 -0.524
H12 -1.520 -1.032 1.153

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.51492.38022.27901.32951.17382.14492.11182.87343.30733.10422.8499
C21.51491.52532.36532.32072.41941.07851.08452.15672.19853.29092.8644
C32.38021.52531.52832.34073.51672.21372.17851.08281.08032.19882.1793
C42.27902.36531.52831.41613.39613.30192.86202.15592.18231.07851.0833
O51.32952.32072.34071.41612.20113.15782.89482.82533.25562.02812.0392
O61.17382.41943.51673.39612.20112.69592.84193.90074.43304.14253.9042
H72.14491.07852.21373.30193.15782.69591.75022.42242.80554.10243.9103
H82.11181.08452.17852.86202.89482.84191.75023.03662.43683.90202.9693
H92.87342.15671.08282.15592.82533.90072.42243.03661.75242.39493.0330
H103.30732.19851.08032.18233.25564.43302.80552.43681.75242.76602.4148
H113.10423.29092.19881.07852.02814.14254.10243.90202.39492.76601.7581
H122.84992.86442.17931.08332.03923.90423.91032.96933.03302.41481.7581

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 103.059 C1 C2 H7 110.467
C1 C2 H8 107.512 C1 O5 C4 112.171
C2 C1 O5 109.181 C2 C1 O6 127.824
C2 C3 C4 101.535 C2 C3 H9 110.419
C2 C3 H10 113.993 C3 C2 H7 115.388
C3 C2 H8 112.076 C3 C4 O5 105.240
C3 C4 H11 113.911 C3 C4 H12 111.991
C4 C3 H9 110.145 C4 C3 H10 112.424
O5 C1 O6 122.994 O5 C4 H11 108.021
O5 C4 H12 108.614 H7 C2 H8 108.029
H9 C3 H10 108.216 H11 C4 H12 108.828
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HF/6-311+G(3df,2p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 1.378      
2 C -0.427      
3 C -0.218      
4 C 0.211      
5 O -0.876      
6 O -0.924      
7 H 0.146      
8 H 0.168      
9 H 0.145      
10 H 0.129      
11 H 0.133      
12 H 0.134      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -4.796 1.609 0.435 5.077
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -41.648 1.843 0.315
y 1.843 -35.328 -0.139
z 0.315 -0.139 -33.508
Traceless
 xyz
x -7.229 1.843 0.315
y 1.843 2.250 -0.139
z 0.315 -0.139 4.980
Polar
3z2-r29.959
x2-y2-6.320
xy1.843
xz0.315
yz-0.139


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.315 0.250 -0.056
y 0.250 6.923 0.009
z -0.056 0.009 5.842


<r2> (average value of r2) Å2
<r2> 137.583
(<r2>)1/2 11.730