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

using model chemistry: B3LYP/cc-pVTZ

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/cc-pVTZ
 hartrees
Energy at 0K-420.983196
Energy at 298.15K-420.990349
Nuclear repulsion energy405.738151
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/cc-pVTZ
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' 3756 3630 89.96      
2 A' 3213 3105 2.56      
3 A' 3204 3097 5.00      
4 A' 3190 3084 14.23      
5 A' 3180 3074 11.51      
6 A' 3168 3063 0.35      
7 A' 1792 1732 330.95      
8 A' 1646 1591 17.02      
9 A' 1626 1571 5.19      
10 A' 1531 1480 1.30      
11 A' 1488 1438 16.25      
12 A' 1372 1326 112.13      
13 A' 1356 1311 5.23      
14 A' 1341 1296 1.71      
15 A' 1212 1172 63.18      
16 A' 1191 1151 158.44      
17 A' 1187 1147 1.61      
18 A' 1118 1080 42.93      
19 A' 1094 1057 106.39      
20 A' 1050 1015 16.56      
21 A' 1024 989 0.24      
22 A' 777 751 8.84      
23 A' 640 619 48.79      
24 A' 634 613 0.49      
25 A' 498 481 5.82      
26 A' 385 372 4.70      
27 A' 218 210 1.49      
28 A" 1024 990 0.07      
29 A" 1006 972 0.05      
30 A" 972 939 1.26      
31 A" 871 842 0.05      
32 A" 829 802 0.06      
33 A" 733 708 118.69      
34 A" 710 687 10.03      
35 A" 595 575 60.53      
36 A" 438 423 9.28      
37 A" 417 403 0.48      
38 A" 159 153 0.65      
39 A" 65 63 1.08      

Unscaled Zero Point Vibrational Energy (zpe) 25353.0 cm-1
Scaled (by 0.9666) Zero Point Vibrational Energy (zpe) 24506.2 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/cc-pVTZ
ABC
0.13011 0.04100 0.03117

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/cc-pVTZ

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.220 0.000
C2 1.277 -0.344 0.000
C3 1.427 -1.722 0.000
C4 0.304 -2.544 0.000
C5 -0.969 -1.986 0.000
C6 -1.125 -0.607 0.000
C7 -0.108 1.701 0.000
O8 0.827 2.464 0.000
O9 -1.391 2.141 0.000
H10 2.134 0.313 0.000
H11 2.418 -2.157 0.000
H12 0.422 -3.620 0.000
H13 -1.842 -2.626 0.000
H14 -2.111 -0.167 0.000
H15 -1.345 3.108 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 O8 O9 H10 H11 H12 H13 H14 H15
C11.39612.41062.78152.41001.39611.48492.39152.37202.13653.39073.86353.39002.14633.1854
C21.39611.38632.40562.78242.41592.47042.84423.64661.08062.14193.38543.86393.39244.3347
C32.41061.38631.39182.41132.78533.75234.22934.78262.15481.08152.14753.39153.86495.5692
C42.78152.40561.39181.39082.40774.26585.03594.98333.39342.14861.08202.14743.38885.8881
C52.41002.78242.41131.39081.38803.78664.79934.14913.86273.39152.14621.08162.14735.1080
C61.39612.41592.78532.40771.38802.52193.63882.76113.38653.86683.38712.14251.07973.7214
C71.48492.47043.75234.26583.78662.52191.20731.35632.63774.61165.34774.66132.73901.8727
O82.39152.84424.22935.03594.79933.63881.20732.24192.51714.88716.09775.74723.94442.2652
O92.37203.64664.78264.98334.14912.76111.35632.24193.97165.74326.04014.78852.41840.9678
H102.13651.08062.15483.39343.86273.38652.63772.51713.97162.48624.28974.94434.27254.4626
H113.39072.14191.08152.14863.39153.86684.61164.88715.74322.48622.47454.28504.94646.4711
H123.86353.38542.14751.08202.14623.38715.34776.09776.04014.28972.47452.47244.28226.9562
H133.39003.86393.39152.14741.08162.14254.66135.74724.78854.94434.28502.47242.47315.7555
H142.14633.39243.86493.38882.14731.07972.73903.94442.41844.27254.94644.28222.47313.3640
H153.18544.33475.56925.88815.10803.72141.87272.26520.96784.46266.47116.95625.75553.3640

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 120.086 C1 C2 H10 118.679
C1 C6 C5 119.905 C1 C6 H14 119.657
C1 C7 O8 125.004 C1 C7 O9 113.126
C2 C1 C6 119.818 C2 C1 C7 118.040
C2 C3 C4 119.974 C2 C3 H11 119.926
C3 C2 H10 121.235 C3 C4 C5 120.123
C3 C4 H12 119.956 C4 C3 H11 120.100
C4 C5 C6 120.094 C4 C5 H13 120.069
C5 C4 H12 119.920 C5 C6 H14 120.438
C6 C1 C7 122.142 C6 C5 H13 119.837
C7 O9 H15 106.166 O8 C7 O9 121.870
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.021      
2 C -0.100      
3 C -0.105      
4 C -0.096      
5 C -0.101      
6 C -0.118      
7 C 0.317      
8 O -0.321      
9 O -0.260      
10 H 0.130      
11 H 0.112      
12 H 0.114      
13 H 0.110      
14 H 0.125      
15 H 0.212      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -1.197 -1.644 0.000 2.034
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -48.920 -5.913 0.000
y -5.913 -46.300 0.000
z 0.000 0.000 -54.111
Traceless
 xyz
x 1.285 -5.913 0.000
y -5.913 5.215 0.000
z 0.000 0.000 -6.500
Polar
3z2-r2-13.000
x2-y2-2.620
xy-5.913
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 13.567 -0.340 0.000
y -0.340 16.943 0.000
z 0.000 0.000 6.148


<r2> (average value of r2) Å2
<r2> 328.737
(<r2>)1/2 18.131