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All results from a given calculation for C6H5 (phenyl)

using model chemistry: HSEh1PBE/6-31+G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 2A1
Energy calculated at HSEh1PBE/6-31+G**
 hartrees
Energy at 0K-231.316402
Energy at 298.15K-231.321153
HF Energy-231.316402
Nuclear repulsion energy194.538072
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 HSEh1PBE/6-31+G**
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 A1 3232 3086 8.16      
2 A1 3221 3075 4.63      
3 A1 3201 3056 0.67      
4 A1 1606 1533 1.40      
5 A1 1485 1418 7.84      
6 A1 1181 1127 0.09      
7 A1 1062 1014 10.89      
8 A1 1032 985 0.50      
9 A1 982 937 0.68      
10 A1 614 587 1.23      
11 A2 971 927 0.00      
12 A2 823 785 0.00      
13 A2 399 381 0.00      
14 B1 998 952 0.12      
15 B1 898 857 0.46      
16 B1 723 690 93.58      
17 B1 669 639 20.14      
18 B1 426 407 6.13      
19 B2 3224 3078 16.18      
20 B2 3208 3063 5.14      
21 B2 1665 1589 1.94      
22 B2 1474 1407 5.27      
23 B2 1369 1308 0.42      
24 B2 1311 1251 0.00      
25 B2 1179 1126 0.12      
26 B2 1085 1036 5.21      
27 B2 596 569 0.65      

Unscaled Zero Point Vibrational Energy (zpe) 19315.1 cm-1
Scaled (by 0.9548) Zero Point Vibrational Energy (zpe) 18442.1 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 HSEh1PBE/6-31+G**
ABC
0.21009 0.18726 0.09901

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/6-31+G**

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.396
C2 0.000 1.225 0.770
C3 0.000 -1.225 0.770
C4 0.000 1.212 -0.631
C5 0.000 -1.212 -0.631
C6 0.000 0.000 -1.322
H7 0.000 2.160 1.323
H8 0.000 -2.160 1.323
H9 0.000 2.152 -1.178
H10 0.000 -2.152 -1.178
H11 0.000 0.000 -2.408

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11
C11.37541.37542.36152.36152.71732.16122.16123.35433.35433.8033
C21.37542.45011.40142.81142.42431.08613.42992.15723.89843.4060
C31.37542.45012.81141.40142.42433.42991.08613.89842.15723.4060
C42.36151.40142.81142.42441.39512.17193.89751.08703.40812.1508
C52.36152.81141.40142.42441.39513.89752.17193.40811.08702.1508
C62.71732.42432.42431.39511.39513.41483.41482.15662.15661.0860
H72.16121.08613.42992.17193.89753.41484.32002.50084.98454.3110
H82.16123.42991.08613.89752.17193.41484.32004.98452.50084.3110
H93.35432.15723.89841.08703.40812.15662.50084.98454.30352.4785
H103.35433.89842.15723.40811.08702.15664.98452.50084.30352.4785
H113.80333.40603.40602.15082.15081.08604.31104.31102.47852.4785

picture of phenyl state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C4 116.511 C1 C2 H7 122.368
C1 C3 C5 116.511 C1 C3 H8 122.368
C2 C1 C3 125.924 C2 C4 C6 120.200
C2 C4 H9 119.664 C3 C5 C6 120.200
C3 C5 H10 119.664 C4 C2 H7 121.121
C4 C6 C5 120.654 C4 C6 H11 119.673
C5 C3 H8 121.121 C5 C6 H11 119.673
C6 C4 H9 120.137 C6 C5 H10 120.137
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.117      
2 C -0.136      
3 C -0.136      
4 C -0.116      
5 C -0.116      
6 C -0.195      
7 H 0.171      
8 H 0.171      
9 H 0.159      
10 H 0.159      
11 H 0.158      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.000 0.000 -0.911 0.911
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -39.336 0.000 0.000
y 0.000 -29.782 0.000
z 0.000 0.000 -33.955
Traceless
 xyz
x -7.468 0.000 0.000
y 0.000 6.864 0.000
z 0.000 0.000 0.604
Polar
3z2-r21.208
x2-y2-9.554
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 5.860 0.000 0.000
y 0.000 11.594 0.000
z 0.000 0.000 10.914


<r2> (average value of r2) Å2
<r2> 121.831
(<r2>)1/2 11.038