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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-420.705447
Energy at 298.15K-420.712645
Nuclear repulsion energy402.473334
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' 3629 3492 49.39      
2 A' 3250 3127 3.01      
3 A' 3237 3114 8.51      
4 A' 3223 3100 20.10      
5 A' 3211 3089 15.81      
6 A' 3198 3077 0.62      
7 A' 1727 1661 266.03      
8 A' 1664 1600 19.23      
9 A' 1638 1576 12.83      
10 A' 1552 1493 3.61      
11 A' 1510 1453 16.88      
12 A' 1389 1337 100.28      
13 A' 1386 1334 23.11      
14 A' 1376 1323 2.31      
15 A' 1238 1191 4.11      
16 A' 1225 1178 0.47      
17 A' 1201 1155 144.65      
18 A' 1129 1086 11.79      
19 A' 1083 1042 164.50      
20 A' 1060 1020 73.44      
21 A' 1036 996 1.04      
22 A' 781 751 1.78      
23 A' 650 626 0.99      
24 A' 634 610 48.71      
25 A' 502 483 7.03      
26 A' 388 373 8.58      
27 A' 216 207 1.16      
28 A" 1047 1008 0.29      
29 A" 1022 983 0.05      
30 A" 988 950 3.29      
31 A" 891 857 0.02      
32 A" 831 799 6.12      
33 A" 730 702 130.71      
34 A" 716 688 18.19      
35 A" 615 592 111.46      
36 A" 444 427 9.77      
37 A" 426 409 0.53      
38 A" 164 157 0.57      
39 A" 77 74 0.83      

Unscaled Zero Point Vibrational Energy (zpe) 25540.0 cm-1
Scaled (by 0.962) Zero Point Vibrational Energy (zpe) 24569.5 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 B3LYP/6-31G
ABC
0.12724 0.04059 0.03077

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 0.223 0.000
C2 1.296 -0.323 0.000
C3 1.469 -1.707 0.000
C4 0.351 -2.553 0.000
C5 -0.941 -2.011 0.000
C6 -1.120 -0.626 0.000
C7 -0.136 1.692 0.000
O8 0.800 2.504 0.000
O9 -1.452 2.120 0.000
H10 2.145 0.351 0.000
H11 2.469 -2.127 0.000
H12 0.487 -3.630 0.000
H13 -1.805 -2.667 0.000
H14 -2.114 -0.195 0.000
H15 -1.476 3.100 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 O8 O9 H10 H11 H12 H13 H14 H15
C11.40582.42572.79802.42401.40561.47552.41742.38842.14913.40913.88353.40742.15473.2336
C21.40581.39542.42182.80212.43502.47182.87023.67601.08422.15283.40463.88713.41184.4042
C32.42571.39541.40162.42892.80623.75944.26454.81412.16621.08492.15903.41183.88905.6377
C42.79802.42181.40161.40102.42474.27295.07705.00823.41312.16041.08552.15933.41135.9408
C52.42402.80212.42891.40101.39683.78964.83924.16203.88613.41212.15831.08502.16225.1390
C61.40562.43502.80622.42471.39682.51833.67212.76523.40863.89113.40692.15301.08293.7427
C71.47552.47183.75944.27293.78962.51831.23921.38332.64674.62365.35844.66782.73331.9435
O82.41742.87024.26455.07704.83923.67211.23922.28422.53954.92356.14225.79033.97162.3524
O92.38843.67604.81415.00824.16202.76521.38332.28424.00855.78036.06744.79962.40700.9808
H102.14911.08422.16623.41313.88613.40862.64672.53954.00852.49924.31224.97114.29394.5467
H113.40912.15281.08492.16043.41213.89114.62364.92355.78032.49922.48764.30834.97396.5492
H123.88353.40462.15901.08552.15833.40695.35846.14226.06744.31222.48762.48584.30847.0102
H133.40743.88713.41182.15931.08502.15304.66785.79034.79964.97114.30832.48582.49155.7764
H142.15473.41183.88903.41132.16221.08292.73333.97162.40704.29394.97394.30842.49153.3559
H153.23364.40425.63775.94085.13903.74271.94352.35240.98084.54676.54927.01025.77643.3559

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 119.980 C1 C2 H10 118.761
C1 C6 C5 119.757 C1 C6 H14 119.394
C1 C7 O8 125.653 C1 C7 O9 113.290
C2 C1 C6 120.013 C2 C1 C7 118.138
C2 C3 C4 119.967 C2 C3 H11 119.921
C3 C2 H10 121.259 C3 C4 C5 120.145
C3 C4 H12 119.936 C4 C3 H11 120.112
C4 C5 C6 120.140 C4 C5 H13 120.049
C5 C4 H12 119.919 C5 C6 H14 120.849
C6 C1 C7 121.849 C6 C5 H13 119.811
C7 O9 H15 109.406 O8 C7 O9 121.057
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 0.048      
2 C -0.122      
3 C -0.138      
4 C -0.106      
5 C -0.139      
6 C -0.112      
7 C 0.416      
8 O -0.414      
9 O -0.568      
10 H 0.169      
11 H 0.137      
12 H 0.136      
13 H 0.135      
14 H 0.169      
15 H 0.389      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -1.113 -1.782 0.000 2.101
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -48.700 -6.504 0.000
y -6.504 -45.566 0.000
z 0.000 0.000 -53.570
Traceless
 xyz
x 0.868 -6.504 0.000
y -6.504 5.569 0.000
z 0.000 0.000 -6.437
Polar
3z2-r2-12.873
x2-y2-3.134
xy-6.504
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 12.485 -0.343 0.000
y -0.343 15.842 0.000
z 0.000 0.000 3.583


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