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

using model chemistry: mPW1PW91/6-31G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at mPW1PW91/6-31G*
 hartrees
Energy at 0K-420.720183
Energy at 298.15K-420.727299
Nuclear repulsion energy405.720851
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 mPW1PW91/6-31G*
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 3571 88.52      
2 A' 3259 3091 3.04      
3 A' 3255 3087 5.42      
4 A' 3241 3074 16.23      
5 A' 3231 3064 12.02      
6 A' 3219 3053 0.39      
7 A' 1859 1763 312.69      
8 A' 1690 1602 18.77      
9 A' 1669 1583 4.32      
10 A' 1555 1475 3.33      
11 A' 1509 1431 19.49      
12 A' 1420 1346 150.56      
13 A' 1395 1323 4.17      
14 A' 1357 1286 5.14      
15 A' 1237 1173 177.82      
16 A' 1210 1147 90.02      
17 A' 1200 1138 0.23      
18 A' 1149 1089 48.26      
19 A' 1117 1059 32.80      
20 A' 1065 1010 9.13      
21 A' 1026 973 1.00      
22 A' 788 747 13.44      
23 A' 641 608 55.54      
24 A' 631 599 0.02      
25 A' 502 476 5.68      
26 A' 386 366 5.58      
27 A' 214 203 1.45      
28 A" 1020 968 0.09      
29 A" 998 946 0.13      
30 A" 966 916 1.53      
31 A" 875 830 0.06      
32 A" 826 784 0.03      
33 A" 738 700 145.11      
34 A" 709 672 5.28      
35 A" 621 589 63.56      
36 A" 436 414 7.38      
37 A" 416 395 0.41      
38 A" 160 151 0.65      
39 A" 69 66 0.99      

Unscaled Zero Point Vibrational Energy (zpe) 25711.1 cm-1
Scaled (by 0.9483) Zero Point Vibrational Energy (zpe) 24381.9 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 mPW1PW91/6-31G*
ABC
0.12988 0.04108 0.03121

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-31G*

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.221 0.000
C2 1.267 -0.367 0.000
C3 1.391 -1.750 0.000
C4 0.250 -2.550 0.000
C5 -1.015 -1.966 0.000
C6 -1.144 -0.582 0.000
C7 -0.073 1.701 0.000
O8 0.885 2.441 0.000
O9 -1.339 2.169 0.000
H10 2.138 0.279 0.000
H11 2.376 -2.205 0.000
H12 0.347 -3.631 0.000
H13 -1.902 -2.591 0.000
H14 -2.124 -0.119 0.000
H15 -1.258 3.136 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 O8 O9 H10 H11 H12 H13 H14 H15
C11.39692.41202.78162.41071.39731.48212.39042.36352.13883.39573.86713.39452.15073.1755
C21.39691.38832.40812.78662.42052.46462.83433.63581.08422.14693.39123.87183.39994.3187
C32.41201.38831.39372.41592.79093.74874.22164.77542.16181.08512.15163.39903.87455.5581
C42.78162.40811.39371.39312.41124.26295.03134.97843.40092.15361.08552.15253.39705.8826
C52.41072.78662.41591.39311.38993.78594.79934.14713.87063.39932.15091.08512.15375.1080
C61.39732.42052.79092.41121.38992.52143.64072.75743.39283.87593.39372.14721.08363.7200
C71.48212.46463.74874.26293.78592.52141.21081.34872.62934.61085.34844.66512.74181.8611
O82.39042.83434.22165.03134.79933.64071.21082.23982.49954.88036.09615.75233.95062.2527
O92.36353.63584.77544.97844.14712.75741.34872.23983.95695.73846.03934.79262.41900.9710
H102.13881.08422.16183.40093.87063.39282.62932.49953.95692.49584.30074.95574.28034.4384
H113.39572.14691.08512.15363.39933.87594.61084.88035.73842.49582.47984.29534.95956.4607
H123.86713.39122.15161.08552.15093.39375.34846.09616.03934.30072.47982.47774.29336.9549
H133.39453.87183.39902.15251.08512.14724.66515.75234.79264.95574.29532.47772.48125.7632
H142.15073.39993.87453.39702.15371.08362.74183.95062.41904.28034.95954.29332.48123.3688
H153.17554.31875.55815.88265.10803.72001.86112.25270.97104.43846.46076.95495.76323.3688

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 120.000 C1 C2 H10 118.552
C1 C6 C5 119.750 C1 C6 H14 119.673
C1 C7 O8 124.856 C1 C7 O9 113.127
C2 C1 C6 120.058 C2 C1 C7 117.722
C2 C3 C4 119.907 C2 C3 H11 119.956
C3 C2 H10 121.448 C3 C4 C5 120.200
C3 C4 H12 119.912 C4 C3 H11 120.136
C4 C5 C6 120.084 C4 C5 H13 120.069
C5 C4 H12 119.888 C5 C6 H14 120.578
C6 C1 C7 122.219 C6 C5 H13 119.847
C7 O9 H15 105.544 O8 C7 O9 122.017
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.004      
2 C -0.175      
3 C -0.179      
4 C -0.155      
5 C -0.178      
6 C -0.179      
7 C 0.579      
8 O -0.486      
9 O -0.603      
10 H 0.206      
11 H 0.179      
12 H 0.178      
13 H 0.178      
14 H 0.201      
15 H 0.430      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -1.225 -1.477 0.000 1.919
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -47.666 -5.827 0.000
y -5.827 -43.785 0.000
z 0.000 0.000 -53.185
Traceless
 xyz
x 0.819 -5.827 0.000
y -5.827 6.640 0.000
z 0.000 0.000 -7.459
Polar
3z2-r2-14.918
x2-y2-3.881
xy-5.827
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 12.366 -0.200 0.000
y -0.200 15.471 0.000
z 0.000 0.000 4.118


<r2> (average value of r2) Å2
<r2> 327.487
(<r2>)1/2 18.097