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All results from a given calculation for C6H5COOH (benzoic acid)

using model chemistry: B3LYP/6-31+G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at B3LYP/6-31+G**
 hartrees
Energy at 0K-420.855229
Energy at 298.15K-420.862309
Nuclear repulsion energy403.924285
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 B3LYP/6-31+G**
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' 3768 3633 95.60      
2 A' 3228 3112 2.49      
3 A' 3220 3105 4.61      
4 A' 3206 3091 15.19      
5 A' 3196 3082 12.21      
6 A' 3185 3071 0.41      
7 A' 1790 1726 383.40      
8 A' 1651 1592 19.10      
9 A' 1630 1572 5.58      
10 A' 1529 1474 2.34      
11 A' 1485 1432 15.41      
12 A' 1371 1322 128.55      
13 A' 1363 1315 22.22      
14 A' 1344 1296 1.92      
15 A' 1211 1167 64.44      
16 A' 1190 1148 163.94      
17 A' 1186 1144 2.29      
18 A' 1119 1079 51.57      
19 A' 1095 1056 88.77      
20 A' 1047 1009 16.60      
21 A' 1016 980 0.71      
22 A' 775 747 8.73      
23 A' 635 612 49.87      
24 A' 630 607 0.73      
25 A' 496 479 6.09      
26 A' 383 369 5.22      
27 A' 215 207 1.54      
28 A" 1014 978 0.04      
29 A" 999 963 0.05      
30 A" 961 926 1.61      
31 A" 866 835 0.05      
32 A" 819 790 0.24      
33 A" 728 702 142.24      
34 A" 698 673 4.92      
35 A" 596 575 70.64      
36 A" 435 420 10.18      
37 A" 415 400 0.49      
38 A" 160 154 0.68      
39 A" 66 64 1.04      

Unscaled Zero Point Vibrational Energy (zpe) 25360.1 cm-1
Scaled (by 0.9642) Zero Point Vibrational Energy (zpe) 24452.2 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 B3LYP/6-31+G**
ABC
0.12883 0.04067 0.03091

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-31+G**

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.222 0.000
C2 1.284 -0.343 0.000
C3 1.436 -1.728 0.000
C4 0.308 -2.556 0.000
C5 -0.973 -1.995 0.000
C6 -1.131 -0.609 0.000
C7 -0.112 1.705 0.000
O8 0.828 2.477 0.000
O9 -1.398 2.147 0.000
H10 2.145 0.317 0.000
H11 2.431 -2.163 0.000
H12 0.427 -3.635 0.000
H13 -1.848 -2.638 0.000
H14 -2.121 -0.168 0.000
H15 -1.356 3.117 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 O8 O9 H10 H11 H12 H13 H14 H15
C11.40322.42212.79482.42151.40341.48702.40212.37872.14753.40613.88113.40542.15683.1969
C21.40321.39382.41882.79772.42992.47862.85613.65951.08482.15173.40243.88363.41014.3524
C32.42211.39381.39912.42412.80063.76624.24874.80082.16501.08592.15763.40833.88455.5924
C42.79482.41881.39911.39832.42084.28125.05935.00223.41022.15901.08632.15803.40615.9119
C52.42152.79772.42411.39831.39533.79904.82134.16373.88243.40832.15661.08592.15795.1269
C61.40342.42992.80062.42081.39532.52813.65522.76853.40463.88643.40402.15221.08403.7330
C71.48702.47863.76624.28123.79902.52811.21691.35942.65004.62965.36744.67702.74661.8819
O82.40212.85614.24875.05934.82133.65521.21692.25082.52934.90926.12535.77293.96192.2764
O92.37873.65954.80085.00224.16372.76851.35942.25083.98775.76536.06334.80582.42510.9716
H102.14751.08482.16503.41023.88243.40462.65002.52933.98772.49724.31004.96834.29414.4832
H113.40612.15171.08592.15903.40833.88644.62964.90925.76532.49722.48644.30574.97046.4983
H123.88113.40242.15761.08632.15663.40405.36746.12536.06334.31002.48642.48454.30316.9841
H133.40543.88363.40832.15801.08592.15224.67705.77294.80584.96834.30572.48452.48495.7763
H142.15683.41013.88453.40612.15791.08402.74663.96192.42514.29414.97044.30312.48493.3734
H153.19694.35245.59245.91195.12693.73301.88192.27640.97164.48326.49836.98415.77633.3734

picture of benzoic acid state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 119.992 C1 C2 H10 118.787
C1 C6 C5 119.818 C1 C6 H14 119.695
C1 C7 O8 125.039 C1 C7 O9 113.293
C2 C1 C6 119.951 C2 C1 C7 118.067
C2 C3 C4 120.001 C2 C3 H11 119.884
C3 C2 H10 121.222 C3 C4 C5 120.121
C3 C4 H12 119.956 C4 C3 H11 120.116
C4 C5 C6 120.117 C4 C5 H13 120.085
C5 C4 H12 119.923 C5 C6 H14 120.487
C6 C1 C7 121.982 C6 C5 H13 119.797
C7 O9 H15 106.484 O8 C7 O9 121.668
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.029      
2 C -0.194      
3 C -0.150      
4 C -0.106      
5 C -0.190      
6 C -0.041      
7 C 0.528      
8 O -0.490      
9 O -0.479      
10 H 0.160      
11 H 0.133      
12 H 0.131      
13 H 0.132      
14 H 0.152      
15 H 0.385      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -1.195 -1.817 0.000 2.175
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -49.442 -6.147 0.000
y -6.147 -46.921 0.000
z 0.000 0.000 -55.053
Traceless
 xyz
x 1.545 -6.147 0.000
y -6.147 5.327 0.000
z 0.000 0.000 -6.871
Polar
3z2-r2-13.743
x2-y2-2.521
xy-6.147
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 14.076 -0.201 0.000
y -0.201 17.397 0.000
z 0.000 0.000 7.169


<r2> (average value of r2) Å2
<r2> 0.000
(<r2>)1/2 0.000