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

using model chemistry: B3PW91/6-31G*

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*
 hartrees
Energy at 0K-420.660422
Energy at 298.15K-420.667492
Nuclear repulsion energy404.985028
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*
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 A' 3732 3571 81.15      
2 A' 3240 3100 3.13      
3 A' 3235 3095 5.45      
4 A' 3220 3081 18.18      
5 A' 3210 3071 13.20      
6 A' 3198 3059 0.39      
7 A' 1839 1759 302.34      
8 A' 1675 1602 18.24      
9 A' 1654 1583 4.34      
10 A' 1544 1477 2.63      
11 A' 1499 1434 18.36      
12 A' 1406 1345 140.19      
13 A' 1388 1328 4.43      
14 A' 1349 1290 5.17      
15 A' 1227 1174 157.63      
16 A' 1202 1150 107.63      
17 A' 1194 1143 0.50      
18 A' 1138 1088 49.45      
19 A' 1109 1061 39.99      
20 A' 1058 1012 9.78      
21 A' 1019 975 1.09      
22 A' 781 747 12.45      
23 A' 637 609 54.32      
24 A' 628 601 0.05      
25 A' 498 477 5.79      
26 A' 383 367 5.50      
27 A' 213 203 1.43      
28 A" 1011 967 0.10      
29 A" 988 946 0.12      
30 A" 957 916 1.55      
31 A" 868 830 0.06      
32 A" 820 784 0.00      
33 A" 732 700 142.07      
34 A" 705 674 5.18      
35 A" 618 591 62.39      
36 A" 434 415 7.24      
37 A" 413 395 0.41      
38 A" 159 152 0.62      
39 A" 68 65 0.96      

Unscaled Zero Point Vibrational Energy (zpe) 25525.2 cm-1
Scaled (by 0.9567) Zero Point Vibrational Energy (zpe) 24419.9 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*
ABC
0.12945 0.04092 0.03109

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/6-31G*

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.221 0.000
C2 1.269 -0.369 0.000
C3 1.392 -1.754 0.000
C4 0.249 -2.554 0.000
C5 -1.017 -1.969 0.000
C6 -1.145 -0.583 0.000
C7 -0.072 1.704 0.000
O8 0.888 2.446 0.000
O9 -1.341 2.174 0.000
H10 2.142 0.277 0.000
H11 2.378 -2.210 0.000
H12 0.345 -3.637 0.000
H13 -1.906 -2.594 0.000
H14 -2.127 -0.120 0.000
H15 -1.257 3.144 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 O8 O9 H10 H11 H12 H13 H14 H15
C11.39932.41632.78702.41501.39961.48422.39522.36862.14243.40133.87423.40012.15423.1814
C21.39931.39022.41182.79032.42362.46862.84043.64351.08582.14983.39653.87713.40484.3266
C32.41631.39021.39572.41892.79453.75474.22964.78482.16431.08682.15513.40383.87965.5681
C42.78702.41181.39571.39512.41494.27045.04104.98863.40562.15691.08722.15573.40165.8940
C52.41502.79032.41891.39511.39193.79244.80834.15563.87583.40412.15431.08682.15625.1183
C61.39962.42362.79452.41491.39192.52603.64802.76393.39773.88133.39892.15021.08513.7284
C71.48422.46863.75474.27043.79242.52601.21351.35282.63404.61795.35764.67282.74761.8649
O82.39522.84044.22965.04104.80833.64801.21352.24522.50544.88886.10755.76273.95912.2560
O92.36863.64354.78484.98864.15562.76391.35282.24523.96575.74916.05114.80152.42530.9733
H102.14241.08582.16433.40563.87583.39772.63402.50543.96572.49824.30674.96264.28714.4467
H113.40132.14981.08682.15693.40413.88134.61794.88885.74912.49822.48384.30174.96646.4717
H123.87423.39652.15511.08722.15433.39895.35766.10756.05114.30672.48382.48174.29926.9681
H133.40013.87713.40382.15571.08682.15024.67285.76274.80154.96264.30172.48172.48365.7744
H142.15423.40483.87963.40162.15621.08512.74763.95912.42534.28714.96644.29922.48363.3779
H153.18144.32665.56815.89405.11833.72841.86492.25600.97334.44676.47176.96815.77443.3779

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 118.566
C1 C6 C5 119.791 C1 C6 H14 119.687
C1 C7 O8 124.905 C1 C7 O9 113.132
C2 C1 C6 119.976 C2 C1 C7 117.741
C2 C3 C4 119.927 C2 C3 H11 119.935
C3 C2 H10 121.395 C3 C4 C5 120.164
C3 C4 H12 119.932 C4 C3 H11 120.138
C4 C5 C6 120.103 C4 C5 H13 120.070
C5 C4 H12 119.905 C5 C6 H14 120.522
C6 C1 C7 122.283 C6 C5 H13 119.828
C7 O9 H15 105.428 O8 C7 O9 121.964
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.022      
2 C -0.174      
3 C -0.172      
4 C -0.149      
5 C -0.171      
6 C -0.178      
7 C 0.562      
8 O -0.480      
9 O -0.595      
10 H 0.199      
11 H 0.173      
12 H 0.172      
13 H 0.172      
14 H 0.195      
15 H 0.426      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -1.217 -1.469 0.000 1.907
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -47.727 -5.802 0.000
y -5.802 -43.811 0.000
z 0.000 0.000 -53.135
Traceless
 xyz
x 0.746 -5.802 0.000
y -5.802 6.620 0.000
z 0.000 0.000 -7.366
Polar
3z2-r2-14.732
x2-y2-3.917
xy-5.802
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 12.468 -0.220 0.000
y -0.220 15.671 0.000
z 0.000 0.000 4.124


<r2> (average value of r2) Å2
<r2> 328.597
(<r2>)1/2 18.127