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

using model chemistry: B3PW91/6-31G(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 B3PW91/6-31G(2df,p)
 hartrees
Energy at 0K-420.694990
Energy at 298.15K-420.702099
Nuclear repulsion energy405.877688
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 B3PW91/6-31G(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' 3793 3647 84.66      
2 A' 3226 3102 2.65      
3 A' 3221 3096 5.09      
4 A' 3207 3083 12.97      
5 A' 3197 3074 10.41      
6 A' 3185 3062 0.32      
7 A' 1830 1760 290.07      
8 A' 1655 1591 16.95      
9 A' 1636 1573 3.66      
10 A' 1525 1466 2.44      
11 A' 1481 1423 19.38      
12 A' 1395 1341 139.35      
13 A' 1372 1319 2.89      
14 A' 1330 1279 5.63      
15 A' 1215 1168 125.46      
16 A' 1187 1142 108.41      
17 A' 1181 1135 1.19      
18 A' 1128 1084 58.14      
19 A' 1098 1056 36.43      
20 A' 1050 1010 9.57      
21 A' 1014 975 1.04      
22 A' 778 748 13.14      
23 A' 635 610 51.54      
24 A' 623 599 0.06      
25 A' 497 478 5.40      
26 A' 382 367 5.02      
27 A' 212 204 1.49      
28 A" 1011 972 0.14      
29 A" 983 945 0.17      
30 A" 962 925 0.81      
31 A" 873 839 0.05      
32 A" 836 804 0.14      
33 A" 738 709 111.69      
34 A" 711 683 4.75      
35 A" 611 588 58.39      
36 A" 436 419 6.79      
37 A" 413 397 0.38      
38 A" 159 153 0.52      
39 A" 69 66 1.02      

Unscaled Zero Point Vibrational Energy (zpe) 25425.8 cm-1
Scaled (by 0.9614) Zero Point Vibrational Energy (zpe) 24444.3 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 B3PW91/6-31G(2df,p)
ABC
0.13004 0.04108 0.03122

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/6-31G(2df,p)

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.221 0.000
C2 1.264 -0.373 0.000
C3 1.383 -1.755 0.000
C4 0.239 -2.550 0.000
C5 -1.022 -1.962 0.000
C6 -1.145 -0.578 0.000
C7 -0.065 1.703 0.000
O8 0.895 2.436 0.000
O9 -1.329 2.176 0.000
H10 2.136 0.272 0.000
H11 2.366 -2.214 0.000
H12 0.332 -3.632 0.000
H13 -1.912 -2.583 0.000
H14 -2.124 -0.112 0.000
H15 -1.245 3.139 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 O8 O9 H10 H11 H12 H13 H14 H15
C11.39642.41172.78142.41031.39651.48382.38872.36372.13683.39563.86743.39432.14983.1722
C21.39641.38732.40662.78452.41812.46482.83253.63551.08462.14643.39023.87003.39794.3154
C32.41171.38731.39292.41422.78873.74904.21894.77522.16251.08542.15153.39783.87265.5544
C42.78142.40661.39291.39222.40984.26445.02884.97923.40062.15331.08592.15203.39565.8793
C52.41032.78452.41421.39221.38923.78814.79724.14873.86883.39812.15051.08552.15305.1054
C61.39652.41812.78872.40981.38922.52433.63932.75973.38993.87423.39272.14701.08383.7181
C71.48382.46483.74904.26443.78812.52431.20721.34942.62544.61085.35024.66782.74491.8580
O82.38872.83254.21895.02884.79723.63931.20722.23892.49444.87746.09395.75073.95002.2519
O92.36373.63554.77524.97924.14872.75971.34942.23893.95355.73826.04064.79452.42160.9669
H102.13681.08462.16253.40063.86883.38992.62542.49443.95352.49724.30114.95434.27734.4325
H113.39562.14641.08542.15333.39813.87424.61084.87745.73822.49722.47964.29454.95806.4571
H123.86743.39022.15151.08592.15053.39275.35026.09396.04064.30112.47962.47734.29236.9520
H133.39433.87003.39782.15201.08552.14704.66785.75074.79454.95434.29452.47732.48055.7609
H142.14983.39793.87263.39562.15301.08382.74493.95002.42164.27734.95804.29232.48053.3675
H153.17224.31545.55445.87935.10543.71811.85802.25190.96694.43256.45716.95205.76093.3675

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 120.070 C1 C2 H10 118.372
C1 C6 C5 119.819 C1 C6 H14 119.630
C1 C7 O8 124.841 C1 C7 O9 112.993
C2 C1 C6 119.949 C2 C1 C7 117.662
C2 C3 C4 119.902 C2 C3 H11 119.964
C3 C2 H10 121.558 C3 C4 C5 120.181
C3 C4 H12 119.925 C4 C3 H11 120.134
C4 C5 C6 120.079 C4 C5 H13 120.070
C5 C4 H12 119.894 C5 C6 H14 120.551
C6 C1 C7 122.389 C6 C5 H13 119.851
C7 O9 H15 105.476 O8 C7 O9 122.166
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.110      
2 C -0.181      
3 C -0.133      
4 C -0.133      
5 C -0.128      
6 C -0.210      
7 C 0.432      
8 O -0.374      
9 O -0.411      
10 H 0.158      
11 H 0.134      
12 H 0.134      
13 H 0.133      
14 H 0.152      
15 H 0.317      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -1.235 -1.436 0.000 1.894
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -47.730 -5.673 0.000
y -5.673 -44.108 0.000
z 0.000 0.000 -52.600
Traceless
 xyz
x 0.624 -5.673 0.000
y -5.673 6.057 0.000
z 0.000 0.000 -6.681
Polar
3z2-r2-13.363
x2-y2-3.622
xy-5.673
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 12.777 -0.262 0.000
y -0.262 16.111 0.000
z 0.000 0.000 5.109


<r2> (average value of r2) Å2
<r2> 327.331
(<r2>)1/2 18.092