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

using model chemistry: B3LYP/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 B3LYP/6-31G**
 hartrees
Energy at 0K-420.835420
Energy at 298.15K-420.842516
Nuclear repulsion energy404.364810
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/6-31G**
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' 3765 3618 75.60      
2 A' 3228 3101 2.89      
3 A' 3222 3096 5.03      
4 A' 3206 3080 18.50      
5 A' 3196 3070 13.84      
6 A' 3184 3059 0.42      
7 A' 1819 1748 294.80      
8 A' 1660 1595 17.35      
9 A' 1639 1575 4.71      
10 A' 1536 1476 1.78      
11 A' 1493 1434 17.01      
12 A' 1392 1337 134.60      
13 A' 1366 1313 4.39      
14 A' 1346 1293 3.93      
15 A' 1217 1170 109.18      
16 A' 1195 1148 141.08      
17 A' 1189 1143 1.38      
18 A' 1127 1083 53.45      
19 A' 1101 1058 54.64      
20 A' 1051 1010 10.90      
21 A' 1019 979 0.85      
22 A' 778 748 10.71      
23 A' 637 612 52.18      
24 A' 631 607 0.66      
25 A' 497 478 5.68      
26 A' 384 369 5.51      
27 A' 216 207 1.39      
28 A" 1012 973 0.06      
29 A" 990 951 0.09      
30 A" 959 921 1.22      
31 A" 869 835 0.05      
32 A" 817 785 0.04      
33 A" 729 701 123.83      
34 A" 705 677 1.16      
35 A" 608 584 64.68      
36 A" 436 419 6.79      
37 A" 416 400 0.43      
38 A" 160 154 0.44      
39 A" 69 66 0.95      

Unscaled Zero Point Vibrational Energy (zpe) 25430.7 cm-1
Scaled (by 0.9608) Zero Point Vibrational Energy (zpe) 24433.9 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 B3LYP/6-31G**
ABC
0.12908 0.04077 0.03098

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.221 0.000
C2 1.273 -0.365 0.000
C3 1.401 -1.751 0.000
C4 0.260 -2.558 0.000
C5 -1.010 -1.976 0.000
C6 -1.144 -0.589 0.000
C7 -0.079 1.706 0.000
O8 0.879 2.454 0.000
O9 -1.354 2.174 0.000
H10 2.142 0.283 0.000
H11 2.388 -2.204 0.000
H12 0.361 -3.639 0.000
H13 -1.896 -2.604 0.000
H14 -2.126 -0.130 0.000
H15 -1.277 3.142 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 O8 O9 H10 H11 H12 H13 H14 H15
C11.40142.41962.79102.41841.40171.48722.39952.37582.14313.40373.87733.40262.15463.1876
C21.40141.39192.41502.79402.42702.47382.84673.65301.08462.15063.39873.87983.40684.3359
C32.41961.39191.39752.42182.79813.76134.23764.79532.16521.08582.15593.40573.88205.5781
C42.79102.41501.39751.39682.41804.27755.04974.99893.40782.15751.08632.15633.40395.9032
C52.41842.79402.42181.39681.39373.79834.81604.16413.87833.40602.15501.08592.15735.1252
C61.40172.42702.79812.41801.39372.53013.65382.77063.39993.88393.40112.15111.08403.7334
C71.48722.47383.76134.27753.79832.53011.21521.35732.63824.62385.36364.67772.74951.8694
O82.39952.84674.23765.04974.81603.65381.21522.24992.51174.89646.11535.76933.96282.2623
O92.37583.65304.79534.99894.16412.77061.35732.24993.97425.75896.06044.80872.42950.9715
H102.14311.08462.16523.40783.87833.39992.63822.51173.97422.49934.30824.96424.28804.4564
H113.40372.15061.08582.15753.40603.88394.62384.89645.75892.49932.48444.30274.96786.4815
H123.87733.39872.15591.08632.15503.40115.36366.11536.06044.30822.48442.48234.30096.9762
H133.40263.87983.40572.15631.08592.15114.67775.76934.80874.96424.30272.48232.48525.7797
H142.15463.40683.88203.40392.15731.08402.74953.96282.42954.28804.96784.30092.48523.3804
H153.18764.33595.57815.90325.12523.73341.86942.26230.97154.45646.48156.97625.77973.3804

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 120.038 C1 C2 H10 118.537
C1 C6 C5 119.796 C1 C6 H14 119.634
C1 C7 O8 124.913 C1 C7 O9 113.198
C2 C1 C6 119.952 C2 C1 C7 117.797
C2 C3 C4 119.944 C2 C3 H11 119.934
C3 C2 H10 121.424 C3 C4 C5 120.157
C3 C4 H12 119.933 C4 C3 H11 120.121
C4 C5 C6 120.112 C4 C5 H13 120.056
C5 C4 H12 119.909 C5 C6 H14 120.570
C6 C1 C7 122.251 C6 C5 H13 119.832
C7 O9 H15 105.581 O8 C7 O9 121.889
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.038      
2 C -0.093      
3 C -0.094      
4 C -0.073      
5 C -0.093      
6 C -0.098      
7 C 0.548      
8 O -0.477      
9 O -0.501      
10 H 0.120      
11 H 0.095      
12 H 0.094      
13 H 0.094      
14 H 0.115      
15 H 0.324      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -1.203 -1.487 0.000 1.913
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -48.291 -5.765 0.000
y -5.765 -44.694 0.000
z 0.000 0.000 -52.944
Traceless
 xyz
x 0.528 -5.765 0.000
y -5.765 5.923 0.000
z 0.000 0.000 -6.452
Polar
3z2-r2-12.903
x2-y2-3.597
xy-5.765
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 12.576 -0.258 0.000
y -0.258 15.842 0.000
z 0.000 0.000 4.151


<r2> (average value of r2) Å2
<r2> 329.859
(<r2>)1/2 18.162