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

using model chemistry: B3LYP/6-31G(2df,p)

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(2df,p)
 hartrees
Energy at 0K-420.855923
Energy at 298.15K-420.863041
Nuclear repulsion energy405.254670
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(2df,p)
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' 3762 3631 77.90      
2 A' 3219 3106 2.56      
3 A' 3212 3100 4.77      
4 A' 3196 3085 15.89      
5 A' 3186 3075 12.33      
6 A' 3174 3063 0.36      
7 A' 1815 1751 288.37      
8 A' 1642 1585 16.28      
9 A' 1623 1566 3.93      
10 A' 1524 1470 1.35      
11 A' 1480 1428 17.59      
12 A' 1386 1337 118.33      
13 A' 1351 1304 3.58      
14 A' 1337 1290 5.13      
15 A' 1214 1171 104.93      
16 A' 1190 1148 130.25      
17 A' 1184 1143 2.78      
18 A' 1120 1081 54.71      
19 A' 1095 1057 56.06      
20 A' 1047 1010 10.45      
21 A' 1016 980 0.77      
22 A' 775 748 10.98      
23 A' 636 614 49.94      
24 A' 628 606 0.05      
25 A' 497 479 5.35      
26 A' 383 370 4.93      
27 A' 215 207 1.43      
28 A" 1008 972 0.18      
29 A" 977 943 0.23      
30 A" 961 927 0.64      
31 A" 875 844 0.04      
32 A" 835 805 0.02      
33 A" 737 711 106.82      
34 A" 710 686 1.13      
35 A" 608 587 60.01      
36 A" 439 423 6.33      
37 A" 415 401 0.38      
38 A" 161 155 0.39      
39 A" 69 67 0.98      

Unscaled Zero Point Vibrational Energy (zpe) 25350.0 cm-1
Scaled (by 0.965) Zero Point Vibrational Energy (zpe) 24462.8 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(2df,p)
ABC
0.12969 0.04093 0.03111

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-31G(2df,p)

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.221 0.000
C2 1.270 -0.365 0.000
C3 1.399 -1.748 0.000
C4 0.260 -2.553 0.000
C5 -1.007 -1.972 0.000
C6 -1.141 -0.588 0.000
C7 -0.078 1.705 0.000
O8 0.875 2.449 0.000
O9 -1.351 2.168 0.000
H10 2.138 0.284 0.000
H11 2.385 -2.199 0.000
H12 0.361 -3.633 0.000
H13 -1.892 -2.600 0.000
H14 -2.122 -0.130 0.000
H15 -1.280 3.134 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 O8 O9 H10 H11 H12 H13 H14 H15
C11.39872.41542.78622.41411.39871.48602.39282.36942.13863.39853.87143.39712.15073.1809
C21.39871.38902.40982.78772.42102.47002.84083.64461.08362.14713.39273.87253.39994.3287
C32.41541.38901.39462.41682.79193.75554.22884.78472.16211.08482.15253.39983.87475.5679
C42.78622.40981.39461.39392.41294.27135.03884.98793.40212.15421.08522.15293.39755.8910
C52.41412.78772.41681.39391.39093.79354.80504.15463.87103.40002.15151.08482.15355.1133
C61.39872.42102.79192.41291.39092.52763.64462.76393.39253.87663.39522.14771.08283.7241
C71.48602.47003.75554.27133.79352.52761.20821.35462.63204.61665.35654.67202.74701.8667
O82.39282.84084.22885.03884.80503.64461.20822.24342.50574.88736.10355.75713.95322.2607
O92.36943.64464.78474.98794.15462.76391.35462.24343.96465.74746.04834.79842.42360.9683
H102.13861.08362.16213.40213.87103.39252.63202.50573.96462.49624.30184.95584.27964.4493
H113.39852.14711.08482.15423.40003.87664.61664.88735.74742.49622.48084.29614.95946.4708
H123.87143.39272.15251.08522.15153.39525.35656.10356.04834.30182.48082.47864.29376.9627
H133.39713.87253.39982.15291.08482.14774.67205.75714.79844.95584.29612.47862.48075.7661
H142.15073.39993.87473.39752.15351.08282.74703.95322.42364.27964.95944.29372.48073.3703
H153.18094.32875.56795.89105.11333.72411.86672.26070.96834.44936.47086.96275.76613.3703

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 120.100 C1 C2 H10 118.434
C1 C6 C5 119.854 C1 C6 H14 119.613
C1 C7 O8 124.965 C1 C7 O9 112.966
C2 C1 C6 119.871 C2 C1 C7 117.771
C2 C3 C4 119.925 C2 C3 H11 119.945
C3 C2 H10 121.465 C3 C4 C5 120.151
C3 C4 H12 119.938 C4 C3 H11 120.130
C4 C5 C6 120.098 C4 C5 H13 120.073
C5 C4 H12 119.911 C5 C6 H14 120.532
C6 C1 C7 122.358 C6 C5 H13 119.830
C7 O9 H15 105.741 O8 C7 O9 122.070
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.153      
2 C -0.160      
3 C -0.102      
4 C -0.107      
5 C -0.097      
6 C -0.189      
7 C 0.376      
8 O -0.353      
9 O -0.384      
10 H 0.128      
11 H 0.105      
12 H 0.105      
13 H 0.104      
14 H 0.122      
15 H 0.300      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -1.202 -1.477 0.000 1.904
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -48.272 -5.662 0.000
y -5.662 -44.939 0.000
z 0.000 0.000 -52.578
Traceless
 xyz
x 0.486 -5.662 0.000
y -5.662 5.486 0.000
z 0.000 0.000 -5.973
Polar
3z2-r2-11.946
x2-y2-3.333
xy-5.662
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 12.801 -0.308 0.000
y -0.308 16.182 0.000
z 0.000 0.000 5.049


<r2> (average value of r2) Å2
<r2> 328.598
(<r2>)1/2 18.127