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

using model chemistry: B3PW91/6-311G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at B3PW91/6-311G*
 hartrees
Energy at 0K-420.755194
Energy at 298.15K-420.762320
Nuclear repulsion energy405.817578
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 B3PW91/6-311G*
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 3628 62.81      
2 A' 3223 3102 3.55      
3 A' 3215 3095 6.78      
4 A' 3200 3081 20.98      
5 A' 3189 3071 15.20      
6 A' 3177 3059 0.47      
7 A' 1823 1755 338.55      
8 A' 1665 1603 17.93      
9 A' 1644 1582 5.05      
10 A' 1535 1477 2.16      
11 A' 1490 1435 18.40      
12 A' 1394 1342 109.68      
13 A' 1374 1323 4.08      
14 A' 1344 1294 6.65      
15 A' 1228 1182 210.21      
16 A' 1198 1153 82.52      
17 A' 1187 1143 0.33      
18 A' 1130 1088 54.41      
19 A' 1102 1061 51.27      
20 A' 1053 1013 12.63      
21 A' 1020 982 0.87      
22 A' 781 752 12.86      
23 A' 642 618 54.33      
24 A' 630 606 0.03      
25 A' 500 481 6.19      
26 A' 384 370 5.21      
27 A' 214 206 1.40      
28 A" 1007 970 0.10      
29 A" 985 949 0.12      
30 A" 955 920 1.34      
31 A" 862 830 0.06      
32 A" 831 800 0.74      
33 A" 735 708 155.06      
34 A" 706 680 19.08      
35 A" 625 601 64.42      
36 A" 434 418 10.03      
37 A" 413 398 0.53      
38 A" 158 152 1.14      
39 A" 72 69 0.90      

Unscaled Zero Point Vibrational Energy (zpe) 25447.7 cm-1
Scaled (by 0.9627) Zero Point Vibrational Energy (zpe) 24498.5 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 B3PW91/6-311G*
ABC
0.13005 0.04106 0.03121

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/6-311G*

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.221 0.000
C2 1.270 -0.359 0.000
C3 1.404 -1.740 0.000
C4 0.269 -2.548 0.000
C5 -0.999 -1.973 0.000
C6 -1.137 -0.590 0.000
C7 -0.085 1.702 0.000
O8 0.863 2.449 0.000
O9 -1.356 2.158 0.000
H10 2.139 0.292 0.000
H11 2.393 -2.188 0.000
H12 0.374 -3.629 0.000
H13 -1.882 -2.604 0.000
H14 -2.120 -0.135 0.000
H15 -1.299 3.123 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 O8 O9 H10 H11 H12 H13 H14 H15
C11.39652.41172.78212.41061.39691.48292.38942.36402.13983.39573.86813.39482.15023.1797
C21.39651.38762.40722.78472.41852.46612.83753.63711.08462.14653.39103.87043.39834.3275
C32.41171.38761.39302.41392.78873.74974.22414.77572.16011.08562.15183.39773.87255.5640
C42.78212.40721.39301.39232.41024.26425.03234.97843.39942.15341.08612.15203.39585.8841
C52.41062.78472.41391.39231.38933.78644.79804.14623.86913.39812.15081.08572.15295.1051
C61.39692.41852.78872.41021.38932.52203.63852.75713.39223.87443.39322.14721.08383.7174
C71.48292.46613.74974.26423.78642.52201.20701.35012.63294.61205.35024.66582.74191.8697
O82.38942.83754.22415.03234.79803.63851.20702.23712.50694.88386.09795.75083.94702.2644
O92.36403.63714.77574.97844.14622.75711.35012.23713.96135.73936.03974.79122.41740.9671
H102.13981.08462.16013.39943.86913.39222.63292.50693.96132.49304.29944.95484.28044.4540
H113.39572.14651.08562.15343.39813.87444.61204.88385.73932.49302.48004.29464.95816.4688
H123.86813.39102.15181.08612.15083.39325.35026.09796.03974.29942.48002.47754.29266.9564
H133.39483.87043.39772.15201.08572.14724.66585.75084.79124.95484.29462.47752.48055.7572
H142.15023.39833.87253.39582.15291.08382.74193.94702.41744.28044.95814.29262.48053.3606
H153.17974.32755.56405.88415.10513.71741.86972.26440.96714.45406.46886.95645.75723.3606

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 120.052 C1 C2 H10 118.638
C1 C6 C5 119.812 C1 C6 H14 119.642
C1 C7 O8 125.000 C1 C7 O9 113.035
C2 C1 C6 119.947 C2 C1 C7 117.812
C2 C3 C4 119.935 C2 C3 H11 119.935
C3 C2 H10 121.309 C3 C4 C5 120.152
C3 C4 H12 119.942 C4 C3 H11 120.130
C4 C5 C6 120.102 C4 C5 H13 120.049
C5 C4 H12 119.906 C5 C6 H14 120.546
C6 C1 C7 122.241 C6 C5 H13 119.849
C7 O9 H15 106.415 O8 C7 O9 121.965
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.181      
2 C -0.161      
3 C -0.206      
4 C -0.180      
5 C -0.207      
6 C -0.154      
7 C 0.473      
8 O -0.345      
9 O -0.535      
10 H 0.231      
11 H 0.210      
12 H 0.209      
13 H 0.209      
14 H 0.229      
15 H 0.408      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -1.201 -1.434 0.000 1.870
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -48.218 -5.976 0.000
y -5.976 -44.228 0.000
z 0.000 0.000 -54.271
Traceless
 xyz
x 1.032 -5.976 0.000
y -5.976 7.016 0.000
z 0.000 0.000 -8.048
Polar
3z2-r2-16.095
x2-y2-3.990
xy-5.976
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 12.892 -0.260 0.000
y -0.260 16.054 0.000
z 0.000 0.000 5.026


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