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

using model chemistry: B3PW91/3-21G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at B3PW91/3-21G
 hartrees
Energy at 0K-418.342549
Energy at 298.15K-418.349820
Nuclear repulsion energy404.226173
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 B3PW91/3-21G
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' 3546 3408 43.36      
2 A' 3253 3126 1.20      
3 A' 3236 3110 6.08      
4 A' 3224 3099 7.82      
5 A' 3214 3089 8.74      
6 A' 3202 3077 0.35      
7 A' 1774 1705 199.11      
8 A' 1647 1583 14.18      
9 A' 1626 1563 5.23      
10 A' 1543 1483 2.32      
11 A' 1507 1448 17.87      
12 A' 1409 1354 102.23      
13 A' 1376 1322 7.78      
14 A' 1354 1301 3.60      
15 A' 1238 1190 5.41      
16 A' 1230 1182 0.65      
17 A' 1198 1152 135.74      
18 A' 1125 1081 18.74      
19 A' 1081 1039 188.23      
20 A' 1062 1021 35.32      
21 A' 1038 998 5.78      
22 A' 782 752 3.83      
23 A' 656 630 0.29      
24 A' 637 612 51.15      
25 A' 502 483 6.19      
26 A' 392 376 8.52      
27 A' 215 207 1.15      
28 A" 1052 1011 0.23      
29 A" 1028 989 0.15      
30 A" 986 948 2.93      
31 A" 887 852 0.02      
32 A" 844 812 0.35      
33 A" 738 709 153.99      
34 A" 734 705 23.41      
35 A" 601 578 99.39      
36 A" 441 424 14.12      
37 A" 429 413 3.31      
38 A" 166 159 1.95      
39 A" 97 93 0.55      

Unscaled Zero Point Vibrational Energy (zpe) 25532.7 cm-1
Scaled (by 0.9612) Zero Point Vibrational Energy (zpe) 24542.1 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 B3PW91/3-21G
ABC
0.12773 0.04114 0.03112

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/3-21G

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.219 0.000
C2 1.271 -0.361 0.000
C3 1.401 -1.746 0.000
C4 0.257 -2.550 0.000
C5 -1.013 -1.967 0.000
C6 -1.146 -0.580 0.000
C7 -0.066 1.693 0.000
O8 0.899 2.454 0.000
O9 -1.366 2.151 0.000
H10 2.135 0.295 0.000
H11 2.385 -2.200 0.000
H12 0.356 -3.630 0.000
H13 -1.897 -2.596 0.000
H14 -2.120 -0.108 0.000
H15 -1.344 3.144 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 O8 O9 H10 H11 H12 H13 H14 H15
C11.39742.41322.78102.40981.39751.47532.40842.36572.13593.39753.86613.39502.14553.2186
C21.39741.39082.41202.79232.42712.45132.83943.64191.08422.15013.39483.87703.40084.3730
C32.41321.39081.39762.42372.80053.73884.22954.77892.16851.08452.15443.40513.88295.6073
C42.78102.41201.39761.39752.41814.25515.04454.97303.40802.15671.08512.15443.40765.9146
C52.40982.79232.42371.39751.39313.78074.81674.13333.87603.40642.15431.08472.16345.1220
C61.39752.42712.80052.41811.39312.51683.65892.74033.39533.88513.39982.15121.08253.7298
C71.47532.45133.73884.25513.78072.51681.22891.37752.60784.60095.34024.66372.73211.9330
O82.40842.83944.22955.04454.81673.65891.22892.28452.48794.88556.10825.77223.95982.3461
O92.36573.64194.77894.97304.13332.74031.37752.28453.96215.74476.03234.77702.38230.9934
H102.13591.08422.16853.40803.87603.39532.60782.48793.96212.50714.30904.96074.27404.4964
H113.39752.15011.08452.15673.40643.88514.60094.88555.74472.50712.48264.30044.96746.5165
H123.86613.39482.15441.08512.15433.39985.34026.10826.03234.30902.48262.47884.30536.9844
H133.39503.87703.40512.15441.08472.15124.66375.77224.77704.96074.30042.47882.49795.7672
H142.14553.40083.88293.40762.16341.08252.73213.95982.38234.27404.96744.30532.49793.3442
H153.21864.37305.60735.91465.12203.72981.93302.34610.99344.49646.51656.98445.76723.3442

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 119.883 C1 C2 H10 118.246
C1 C6 C5 119.435 C1 C6 H14 119.248
C1 C7 O8 125.661 C1 C7 O9 111.997
C2 C1 C6 120.545 C2 C1 C7 117.126
C2 C3 C4 119.771 C2 C3 H11 120.094
C3 C2 H10 121.872 C3 C4 C5 120.256
C3 C4 H12 119.873 C4 C3 H11 120.135
C4 C5 C6 120.110 C4 C5 H13 119.911
C5 C4 H12 119.871 C5 C6 H14 121.318
C6 C1 C7 122.329 C6 C5 H13 119.979
C7 O9 H15 108.136 O8 C7 O9 122.342
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.128      
2 C -0.183      
3 C -0.216      
4 C -0.205      
5 C -0.213      
6 C -0.198      
7 C 0.670      
8 O -0.499      
9 O -0.578      
10 H 0.247      
11 H 0.225      
12 H 0.225      
13 H 0.224      
14 H 0.246      
15 H 0.383      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -1.172 -1.165 0.000 1.653
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -47.792 -6.075 0.000
y -6.075 -42.862 0.000
z 0.000 0.000 -54.599
Traceless
 xyz
x 0.939 -6.075 0.000
y -6.075 8.333 0.000
z 0.000 0.000 -9.272
Polar
3z2-r2-18.543
x2-y2-4.929
xy-6.075
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 11.764 -0.284 0.000
y -0.284 14.808 0.000
z 0.000 0.000 2.933


<r2> (average value of r2) Å2
<r2> 328.553
(<r2>)1/2 18.126