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

using model chemistry: PBEPBEultrafine/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 PBEPBEultrafine/6-31G*
 hartrees
Energy at 0K-420.324011
Energy at 298.15K-420.330866
HF Energy-420.324011
Nuclear repulsion energy402.306625
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 PBEPBEultrafine/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' 3575 3516 52.33      
2 A' 3158 3106 3.54      
3 A' 3152 3100 7.22      
4 A' 3139 3088 17.99      
5 A' 3129 3078 12.93      
6 A' 3118 3066 0.29      
7 A' 1764 1735 253.45      
8 A' 1618 1592 16.34      
9 A' 1599 1572 3.89      
10 A' 1495 1470 1.81      
11 A' 1453 1429 14.68      
12 A' 1375 1353 3.11      
13 A' 1355 1332 105.84      
14 A' 1307 1285 5.69      
15 A' 1188 1168 89.24      
16 A' 1164 1145 123.21      
17 A' 1161 1142 11.91      
18 A' 1095 1077 39.69      
19 A' 1073 1055 79.45      
20 A' 1029 1012 13.69      
21 A' 990 974 1.74      
22 A' 756 743 8.37      
23 A' 614 604 47.06      
24 A' 611 601 1.74      
25 A' 482 474 6.12      
26 A' 373 367 5.42      
27 A' 207 204 1.29      
28 A" 968 952 0.15      
29 A" 943 928 0.18      
30 A" 917 902 1.53      
31 A" 836 822 0.10      
32 A" 788 775 0.37      
33 A" 705 694 122.77      
34 A" 684 672 9.34      
35 A" 606 596 49.99      
36 A" 420 413 6.40      
37 A" 399 393 0.49      
38 A" 154 151 0.65      
39 A" 69 68 0.81      

Unscaled Zero Point Vibrational Energy (zpe) 24733.4 cm-1
Scaled (by 0.9835) Zero Point Vibrational Energy (zpe) 24325.3 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 PBEPBEultrafine/6-31G*
ABC
0.12748 0.04047 0.03072

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.224 0.000
C2 1.277 -0.370 0.000
C3 1.401 -1.762 0.000
C4 0.252 -2.569 0.000
C5 -1.022 -1.981 0.000
C6 -1.152 -0.587 0.000
C7 -0.072 1.711 0.000
O8 0.896 2.464 0.000
O9 -1.358 2.181 0.000
H10 2.154 0.284 0.000
H11 2.395 -2.222 0.000
H12 0.350 -3.660 0.000
H13 -1.917 -2.611 0.000
H14 -2.140 -0.120 0.000
H15 -1.258 3.161 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 O8 O9 H10 H11 H12 H13 H14 H15
C11.40822.43112.80482.43011.40881.48892.41222.38192.15493.42333.89993.42222.16773.1950
C21.40821.39812.42632.80682.43832.47992.85903.66721.09392.16343.41823.90163.42614.3466
C32.43111.39811.40412.43302.81093.77324.25634.81302.17991.09472.16943.42523.90395.5958
C42.80482.42631.40411.40352.42934.29285.07405.01593.42862.17081.09512.16983.42395.9259
C52.43012.80682.43301.40351.39993.81234.84054.17543.90043.42542.16841.09482.17105.1470
C61.40882.43832.81092.42931.39992.53943.67422.77573.41863.90563.42052.16371.09313.7492
C71.48892.47993.77324.29283.81232.53941.22581.36912.64454.64275.38784.69952.76261.8733
O82.41222.85904.25635.07404.84053.67421.22582.27132.51724.91956.14805.80203.98672.2644
O92.38193.66724.81305.01594.17542.77571.36912.27133.99185.78536.08574.82452.43060.9847
H102.15491.09392.17993.42863.90043.41862.64452.51723.99182.51684.33654.99514.31324.4637
H113.42332.16341.09472.17083.42543.90564.64274.91955.78532.51682.50014.32964.99866.5055
H123.89993.41822.16941.09512.16843.42055.38786.14806.08574.33652.50012.49814.32827.0079
H133.42223.90163.42522.16981.09482.16374.69955.80204.82454.99514.32962.49812.50085.8091
H142.16773.42613.90393.42392.17101.09312.76263.98672.43064.31324.99864.32822.50083.3972
H153.19504.34665.59585.92595.14703.74921.87332.26440.98474.46376.50557.00795.80913.3972

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 120.064 C1 C2 H10 118.378
C1 C6 C5 119.816 C1 C6 H14 119.564
C1 C7 O8 125.103 C1 C7 O9 112.835
C2 C1 C6 119.902 C2 C1 C7 117.712
C2 C3 C4 119.959 C2 C3 H11 119.928
C3 C2 H10 121.558 C3 C4 C5 120.130
C3 C4 H12 119.954 C4 C3 H11 120.113
C4 C5 C6 120.128 C4 C5 H13 120.068
C5 C4 H12 119.916 C5 C6 H14 120.620
C6 C1 C7 122.386 C6 C5 H13 119.805
C7 O9 H15 104.288 O8 C7 O9 122.062
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.072      
2 C -0.160      
3 C -0.147      
4 C -0.125      
5 C -0.145      
6 C -0.165      
7 C 0.483      
8 O -0.443      
9 O -0.547      
10 H 0.169      
11 H 0.148      
12 H 0.147      
13 H 0.147      
14 H 0.165      
15 H 0.402      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -1.160 -1.406 0.000 1.823
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -47.984 -5.580 -0.010
y -5.580 -44.078 -0.006
z -0.010 -0.006 -53.170
Traceless
 xyz
x 0.640 -5.580 -0.010
y -5.580 6.499 -0.006
z -0.010 -0.006 -7.139
Polar
3z2-r2-14.278
x2-y2-3.906
xy-5.580
xz-0.010
yz-0.006


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 12.872 -0.342 -0.002
y -0.342 16.530 0.000
z -0.002 0.000 4.168


<r2> (average value of r2) Å2
<r2> 332.344
(<r2>)1/2 18.230