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

using model chemistry: PBEPBEultrafine/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 PBEPBEultrafine/cc-pVDZ
 hartrees
Energy at 0K-306.152325
Energy at 298.15K 
HF Energy-306.152325
Nuclear repulsion energy238.927082
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 PBEPBEultrafine/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 3074 3056 6.04      
2 A 3058 3040 19.00      
3 A 3044 3027 21.19      
4 A 2997 2979 19.80      
5 A 2985 2968 6.24      
6 A 2957 2940 45.52      
7 A 1830 1819 338.24      
8 A 1444 1435 0.51      
9 A 1417 1409 6.77      
10 A 1382 1374 8.07      
11 A 1333 1326 18.37      
12 A 1288 1280 3.23      
13 A 1245 1238 11.45      
14 A 1205 1198 4.23      
15 A 1169 1162 16.39      
16 A 1142 1135 3.32      
17 A 1119 1112 164.64      
18 A 1047 1040 20.20      
19 A 1031 1025 52.31      
20 A 981 975 25.33      
21 A 923 918 3.43      
22 A 864 859 8.61      
23 A 846 841 18.24      
24 A 784 779 3.52      
25 A 661 657 3.04      
26 A 615 612 3.66      
27 A 512 509 1.66      
28 A 472 469 2.47      
29 A 214 212 1.70      
30 A 153 152 0.64      

Unscaled Zero Point Vibrational Energy (zpe) 20894.3 cm-1
Scaled (by 0.9942) Zero Point Vibrational Energy (zpe) 20773.1 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 PBEPBEultrafine/cc-pVDZ
ABC
0.23975 0.11785 0.08428

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

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.891 0.004 0.004
C2 -0.034 1.210 0.178
C3 -1.405 0.668 -0.233
C4 -1.272 -0.818 0.134
O5 0.126 -1.145 -0.045
O6 2.098 -0.027 -0.076
H7 0.339 2.067 -0.411
H8 -0.004 1.504 1.250
H9 -1.548 0.778 -1.328
H10 -2.260 1.154 0.275
H11 -1.862 -1.498 -0.510
H12 -1.545 -1.009 1.196

Atom - Atom Distances (Å)
  C1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12
C11.52962.40222.31771.38151.21002.17552.14512.88533.36533.17812.8954
C21.52961.53032.37602.37062.47801.10511.11182.17882.22863.33842.8712
C32.40221.53031.53692.38083.57512.24262.20451.10921.10662.23122.2084
C42.31772.37601.53691.44693.46803.34902.87102.18172.21011.10681.1129
O51.38152.37062.38081.44692.26713.23982.95132.85403.32882.07182.0862
O61.21002.47803.57513.46802.26712.75542.91923.93854.52894.24663.9822
H72.17551.10512.24263.34903.23982.75541.78692.46282.83874.19083.9493
H82.14511.11182.20452.87102.95132.91921.78693.09122.48233.94432.9486
H92.88532.17881.10922.18172.85403.93852.46283.09121.79332.43853.0922
H103.36532.22861.10662.21013.32884.52892.83872.48231.79332.79402.4575
H113.17813.33842.23121.10682.07184.24664.19083.94432.43852.79401.8021
H122.89542.87122.20841.11292.08623.98223.94932.94863.09222.45751.8021

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 103.457 C1 C2 H7 110.288
C1 C2 H8 107.556 C1 O5 C4 110.042
C2 C1 O5 108.941 C2 C1 O6 129.148
C2 C3 C4 101.548 C2 C3 H9 110.252
C2 C3 H10 114.426 C3 C2 H7 115.698
C3 C2 H8 112.134 C3 C4 O5 105.823
C3 C4 H11 114.138 C3 C4 H12 111.908
C4 C3 H9 110.020 C4 C3 H10 112.430
O5 C1 O6 121.910 O5 C4 H11 107.707
O5 C4 H12 108.467 H7 C2 H8 107.425
H9 C3 H10 108.052 H11 C4 H12 108.556
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.139      
2 C -0.068      
3 C -0.067      
4 C 0.111      
5 O -0.207      
6 O -0.190      
7 H 0.054      
8 H 0.065      
9 H 0.046      
10 H 0.032      
11 H 0.043      
12 H 0.041      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -3.858 1.335 0.368 4.099
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -39.569 1.658 0.260
y 1.658 -35.056 -0.038
z 0.260 -0.038 -33.530
Traceless
 xyz
x -5.276 1.658 0.260
y 1.658 1.494 -0.038
z 0.260 -0.038 3.782
Polar
3z2-r27.565
x2-y2-4.514
xy1.658
xz0.260
yz-0.038


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.457 0.492 -0.103
y 0.492 6.866 0.015
z -0.103 0.015 5.644


<r2> (average value of r2) Å2
<r2> 141.310
(<r2>)1/2 11.887