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

using model chemistry: B3LYP/CEP-121G

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/CEP-121G
 hartrees
Energy at 0K-75.019934
Energy at 298.15K-75.027052
Nuclear repulsion energy203.482253
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/CEP-121G
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' 3641 3548 47.37      
2 A' 3204 3122 6.11      
3 A' 3191 3110 15.68      
4 A' 3177 3096 28.10      
5 A' 3165 3084 19.91      
6 A' 3150 3069 0.99      
7 A' 1663 1621 303.79      
8 A' 1630 1588 16.09      
9 A' 1603 1563 32.34      
10 A' 1513 1474 7.74      
11 A' 1469 1432 17.52      
12 A' 1357 1322 5.13      
13 A' 1347 1313 37.21      
14 A' 1346 1311 73.96      
15 A' 1211 1180 3.65      
16 A' 1193 1163 0.37      
17 A' 1172 1142 154.20      
18 A' 1100 1072 8.78      
19 A' 1050 1024 135.37      
20 A' 1028 1001 110.18      
21 A' 1002 976 4.48      
22 A' 754 735 1.04      
23 A' 628 612 0.47      
24 A' 607 591 48.12      
25 A' 486 474 7.55      
26 A' 373 363 9.52      
27 A' 207 202 1.15      
28 A" 1045 1018 0.69      
29 A" 1029 1003 0.03      
30 A" 994 968 4.96      
31 A" 900 877 0.03      
32 A" 828 807 24.04      
33 A" 724 706 111.00      
34 A" 693 675 15.90      
35 A" 593 577 125.77      
36 A" 440 429 10.48      
37 A" 420 410 0.65      
38 A" 164 160 0.64      
39 A" 74 72 0.83      

Unscaled Zero Point Vibrational Energy (zpe) 25083.8 cm-1
Scaled (by 0.9745) Zero Point Vibrational Energy (zpe) 24444.2 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/CEP-121G
ABC
0.12456 0.03981 0.03017

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/CEP-121G

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.223 0.000
C2 1.318 -0.303 0.000
C3 1.515 -1.699 0.000
C4 0.400 -2.571 0.000
C5 -0.915 -2.046 0.000
C6 -1.119 -0.649 0.000
C7 -0.166 1.706 0.000
O8 0.761 2.549 0.000
O9 -1.509 2.109 0.000
H10 2.158 0.386 0.000
H11 2.525 -2.103 0.000
H12 0.553 -3.649 0.000
H13 -1.771 -2.716 0.000
H14 -2.120 -0.232 0.000
H15 -1.559 3.090 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 O8 O9 H10 H11 H12 H13 H14 H15
C11.41902.44772.82302.44641.41881.49202.44732.41472.16433.43313.91103.43162.16833.2636
C21.41901.41002.44732.83232.46112.49772.90603.71541.08652.16733.43203.91973.43874.4487
C32.44771.41001.41632.45472.83553.79764.31474.86232.18161.08732.17423.44013.92045.6912
C42.82302.44731.41631.41562.44934.31455.13335.05413.44052.17621.08802.17533.43855.9909
C52.44642.83232.45471.41561.41113.82554.89094.19653.91863.44012.17321.08742.17805.1762
C61.41882.46112.83552.44931.41112.54053.70992.78543.43653.92283.43352.16731.08503.7655
C71.49202.49773.79764.31453.82552.54051.25341.40132.67334.66375.40254.70412.75141.9638
O82.44732.90604.31475.13334.89093.70991.25342.31182.57564.97556.20135.84244.00402.3822
O92.41473.71544.86235.05414.19652.78541.40132.31184.05145.83156.11514.83192.41870.9830
H102.16431.08652.18163.44053.91863.43652.67332.57564.05142.51564.34205.00604.32264.5971
H113.43312.16731.08732.17623.44013.92284.66374.97555.83152.51562.50554.33935.00776.6068
H123.91103.43202.17421.08802.17323.43355.40256.20136.11514.34202.50552.50384.33827.0620
H133.43163.91973.44012.17531.08742.16734.70415.84244.83195.00604.33932.50382.50905.8103
H142.16833.43873.92043.43852.17801.08502.75144.00402.41874.32265.00774.33822.50903.3688
H153.26364.44875.69125.99095.17623.76551.96382.38220.98304.59716.60687.06205.81033.3688

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 119.813 C1 C2 H10 118.904
C1 C6 C5 119.645 C1 C6 H14 119.398
C1 C7 O8 125.885 C1 C7 O9 113.106
C2 C1 C6 120.284 C2 C1 C7 118.167
C2 C3 C4 119.970 C2 C3 H11 119.862
C3 C2 H10 121.283 C3 C4 C5 120.181
C3 C4 H12 119.927 C4 C3 H11 120.168
C4 C5 C6 120.107 C4 C5 H13 120.135
C5 C4 H12 119.892 C5 C6 H14 120.956
C6 C1 C7 121.550 C6 C5 H13 119.758
C7 O9 H15 109.651 O8 C7 O9 121.010
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/CEP-121G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.295      
2 C -0.221      
3 C -0.158      
4 C -0.130      
5 C -0.164      
6 C -0.159      
7 C -0.250      
8 O -0.138      
9 O -0.372      
10 H 0.217      
11 H 0.160      
12 H 0.159      
13 H 0.160      
14 H 0.218      
15 H 0.381      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -1.090 -2.057 0.000 2.328
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -49.018 -6.840 0.000
y -6.840 -46.886 0.000
z 0.000 0.000 -54.995
Traceless
 xyz
x 1.923 -6.840 0.000
y -6.840 5.120 0.000
z 0.000 0.000 -7.043
Polar
3z2-r2-14.086
x2-y2-2.132
xy-6.840
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 13.633 -0.382 0.000
y -0.382 17.136 0.000
z 0.000 0.000 5.402


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