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

using model chemistry: HF/6-31G(2df,p)

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at HF/6-31G(2df,p)
 hartrees
Energy at 0K-418.368921
Energy at 298.15K-418.376526
Nuclear repulsion energy408.823162
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/6-31G(2df,p)
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' 4129 3739 144.23      
2 A' 3378 3059 2.88      
3 A' 3376 3057 5.45      
4 A' 3352 3036 22.94      
5 A' 3342 3026 16.21      
6 A' 3326 3012 1.04      
7 A' 1995 1807 450.06      
8 A' 1790 1621 22.18      
9 A' 1767 1600 4.94      
10 A' 1652 1496 3.31      
11 A' 1600 1448 28.99      
12 A' 1507 1364 164.94      
13 A' 1454 1317 5.85      
14 A' 1338 1211 120.90      
15 A' 1319 1195 146.36      
16 A' 1284 1162 39.52      
17 A' 1223 1107 6.55      
18 A' 1200 1087 64.50      
19 A' 1168 1057 1.87      
20 A' 1117 1011 5.38      
21 A' 1085 983 0.09      
22 A' 836 757 20.33      
23 A' 694 629 62.12      
24 A' 671 608 0.16      
25 A' 534 483 4.71      
26 A' 409 370 5.19      
27 A' 234 212 1.77      
28 A" 1123 1017 0.00      
29 A" 1100 996 0.06      
30 A" 1074 973 0.37      
31 A" 962 871 0.01      
32 A" 924 837 4.78      
33 A" 814 737 134.25      
34 A" 764 691 3.10      
35 A" 630 571 81.05      
36 A" 477 432 9.32      
37 A" 455 412 0.36      
38 A" 176 159 0.41      
39 A" 71 65 1.39      

Unscaled Zero Point Vibrational Energy (zpe) 27173.9 cm-1
Scaled (by 0.9055) Zero Point Vibrational Energy (zpe) 24606.0 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/6-31G(2df,p)
ABC
0.13258 0.04143 0.03157

See section I.F.4 to change rotational constant units
Geometric Data calculated at HF/6-31G(2df,p)

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.217 0.000
C2 1.267 -0.349 0.000
C3 1.411 -1.722 0.000
C4 0.288 -2.532 0.000
C5 -0.977 -1.971 0.000
C6 -1.123 -0.597 0.000
C7 -0.102 1.701 0.000
O8 0.826 2.437 0.000
O9 -1.353 2.145 0.000
H10 2.124 0.297 0.000
H11 2.392 -2.160 0.000
H12 0.399 -3.601 0.000
H13 -1.847 -2.603 0.000
H14 -2.102 -0.158 0.000
H15 -1.322 3.089 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 O8 O9 H10 H11 H12 H13 H14 H15
C11.38772.39722.76322.39631.38691.48772.36932.35562.12563.37183.83883.37062.13473.1623
C21.38771.37982.39202.76902.40292.46522.82153.61761.07332.13153.36603.84393.37414.3044
C32.39721.37981.38462.40072.77183.74184.19994.75272.14071.07492.13483.37473.84475.5329
C42.76322.39201.38461.38312.39394.25024.99804.95573.37222.13721.07572.13583.36805.8467
C52.39632.76902.40071.38311.38183.77514.76314.13323.84213.37452.13311.07492.13415.0724
C61.38692.40292.77182.39391.38182.51483.60642.75163.36793.84673.36762.13221.07283.6919
C71.48772.46523.74184.25023.77512.51481.18441.32792.63194.59615.32584.64402.73001.8485
O82.36932.82154.19994.99804.76313.60641.18442.19862.50374.85676.05395.70503.91192.2445
O92.35563.61764.75274.95574.13322.75161.32792.19863.93805.70586.00734.77312.42080.9451
H102.12561.07332.14073.37223.84213.36792.63192.50373.93802.47104.26284.91704.25014.4357
H113.37182.13151.07492.13723.37453.84674.59614.85675.70582.47102.46004.26224.91956.4302
H123.83883.36602.13481.07572.13313.36765.32586.05396.00734.26282.46002.45794.25586.9085
H133.37063.84393.37472.13581.07492.13224.64405.70504.77314.91704.26222.45792.45845.7162
H142.13473.37413.84473.36802.13411.07282.73003.91192.42084.25014.91954.25582.45843.3391
H153.16234.30445.53295.84675.07243.69191.84852.24450.94514.43576.43026.90855.71623.3391

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 120.040 C1 C2 H10 118.922
C1 C6 C5 119.874 C1 C6 H14 119.874
C1 C7 O8 124.526 C1 C7 O9 113.454
C2 C1 C6 119.997 C2 C1 C7 117.997
C2 C3 C4 119.828 C2 C3 H11 120.024
C3 C2 H10 121.038 C3 C4 C5 120.314
C3 C4 H12 119.857 C4 C3 H11 120.148
C4 C5 C6 119.948 C4 C5 H13 120.138
C5 C4 H12 119.830 C5 C6 H14 120.252
C6 C1 C7 122.005 C6 C5 H13 119.914
C7 O9 H15 107.632 O8 C7 O9 122.020
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HF/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.025      
2 C -0.156      
3 C -0.157      
4 C -0.137      
5 C -0.156      
6 C -0.177      
7 C 0.616      
8 O -0.470      
9 O -0.517      
10 H 0.188      
11 H 0.154      
12 H 0.156      
13 H 0.153      
14 H 0.181      
15 H 0.347      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -1.323 -1.660 0.000 2.123
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -48.099 -6.212 0.000
y -6.212 -45.324 0.000
z 0.000 0.000 -53.536
Traceless
 xyz
x 1.331 -6.212 0.000
y -6.212 5.493 0.000
z 0.000 0.000 -6.824
Polar
3z2-r2-13.649
x2-y2-2.775
xy-6.212
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 12.078 -0.127 0.000
y -0.127 14.587 0.000
z 0.000 0.000 5.034


<r2> (average value of r2) Å2
<r2> 324.553
(<r2>)1/2 18.015