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

using model chemistry: B3LYP/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 B3LYP/3-21G
 hartrees
Energy at 0K-418.501716
Energy at 298.15K-418.508985
Nuclear repulsion energy403.772267
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/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' 3501 3378 31.32      
2 A' 3248 3134 1.15      
3 A' 3228 3115 6.69      
4 A' 3217 3104 10.86      
5 A' 3207 3094 10.22      
6 A' 3195 3083 0.38      
7 A' 1763 1701 196.83      
8 A' 1637 1579 13.26      
9 A' 1616 1559 5.57      
10 A' 1543 1489 2.71      
11 A' 1509 1456 15.44      
12 A' 1397 1348 83.57      
13 A' 1382 1333 11.99      
14 A' 1332 1286 3.35      
15 A' 1238 1195 2.70      
16 A' 1231 1187 0.61      
17 A' 1195 1154 135.44      
18 A' 1123 1083 14.27      
19 A' 1071 1034 168.54      
20 A' 1061 1024 60.60      
21 A' 1035 998 12.84      
22 A' 779 752 2.56      
23 A' 659 636 0.38      
24 A' 635 613 48.92      
25 A' 501 483 6.10      
26 A' 392 378 8.26      
27 A' 218 210 1.12      
28 A" 1050 1014 0.19      
29 A" 1027 991 0.11      
30 A" 985 951 2.52      
31 A" 886 855 0.02      
32 A" 841 812 0.42      
33 A" 735 710 144.63      
34 A" 734 708 10.07      
35 A" 595 574 97.86      
36 A" 443 427 12.37      
37 A" 433 417 4.20      
38 A" 166 160 1.63      
39 A" 97 94 0.48      

Unscaled Zero Point Vibrational Energy (zpe) 25451.8 cm-1
Scaled (by 0.9649) Zero Point Vibrational Energy (zpe) 24558.4 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/3-21G
ABC
0.12741 0.04104 0.03104

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/3-21G

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.220 0.000
C2 1.285 -0.332 0.000
C3 1.445 -1.715 0.000
C4 0.319 -2.545 0.000
C5 -0.965 -1.991 0.000
C6 -1.128 -0.607 0.000
C7 -0.107 1.694 0.000
O8 0.834 2.484 0.000
O9 -1.426 2.113 0.000
H10 2.134 0.340 0.000
H11 2.439 -2.147 0.000
H12 0.442 -3.622 0.000
H13 -1.834 -2.638 0.000
H14 -2.111 -0.156 0.000
H15 -1.433 3.108 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 O8 O9 H10 H11 H12 H13 H14 H15
C11.39892.41562.78422.41271.39901.47732.41242.36912.13743.39913.86823.39632.14453.2240
C21.39891.39222.41482.79532.42902.45842.85223.65041.08312.15073.39653.87883.40094.3848
C32.41561.39221.39892.42572.80213.74594.24354.78472.16801.08352.15493.40643.88315.6171
C42.78422.41481.39891.39862.41954.26075.05584.97413.40902.15661.08402.15503.40815.9191
C52.41272.79532.42571.39861.39393.78334.82314.12933.87793.40712.15431.08362.16355.1208
C61.39902.42902.80212.41951.39392.51703.66112.73553.39703.88553.40012.15061.08123.7275
C71.47732.45843.74594.26073.78332.51701.22901.38332.61814.60835.34464.66352.72741.9388
O82.41242.85224.24355.05584.82313.66111.22902.29002.50704.90156.11915.77543.95542.3516
O92.36913.65044.78474.97414.12932.73551.38332.29003.97635.75156.03144.76842.37010.9958
H102.13741.08312.16803.40903.87793.39702.61812.50703.97632.50644.30894.96144.27414.5151
H113.39912.15071.08352.15663.40713.88554.60834.90155.75152.50642.48244.30064.96656.5279
H123.86823.39652.15491.08402.15433.40015.34466.11916.03144.30892.48242.47954.30516.9871
H133.39633.87883.40642.15501.08362.15064.66355.77544.76844.96144.30062.47952.49755.7606
H142.14453.40093.88313.40812.16351.08122.72743.95542.37014.27414.96654.30512.49753.3342
H153.22404.38485.61715.91915.12083.72751.93882.35160.99584.51516.52796.98715.76063.3342

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 119.871 C1 C2 H10 118.335
C1 C6 C5 119.507 C1 C6 H14 119.132
C1 C7 O8 125.854 C1 C7 O9 111.783
C2 C1 C6 120.487 C2 C1 C7 117.431
C2 C3 C4 119.802 C2 C3 H11 120.108
C3 C2 H10 121.794 C3 C4 C5 120.242
C3 C4 H12 119.897 C4 C3 H11 120.090
C4 C5 C6 120.092 C4 C5 H13 119.961
C5 C4 H12 119.861 C5 C6 H14 121.361
C6 C1 C7 122.082 C6 C5 H13 119.947
C7 O9 H15 108.057 O8 C7 O9 122.363
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.099      
2 C -0.162      
3 C -0.185      
4 C -0.176      
5 C -0.183      
6 C -0.176      
7 C 0.653      
8 O -0.492      
9 O -0.565      
10 H 0.216      
11 H 0.195      
12 H 0.195      
13 H 0.194      
14 H 0.216      
15 H 0.368      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -1.103 -1.208 0.000 1.635
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -47.976 -6.069 0.000
y -6.069 -43.879 0.000
z 0.000 0.000 -54.342
Traceless
 xyz
x 1.135 -6.069 0.000
y -6.069 7.280 0.000
z 0.000 0.000 -8.414
Polar
3z2-r2-16.829
x2-y2-4.097
xy-6.069
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 11.815 -0.386 0.000
y -0.386 14.888 0.000
z 0.000 0.000 2.907


<r2> (average value of r2) Å2
<r2> 329.428
(<r2>)1/2 18.150