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All results from a given calculation for C12H10 (biphenyl)

using model chemistry: B3PW91/6-31G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D2 1A
Energy calculated at B3PW91/6-31G*
 hartrees
Energy at 0K-463.128172
Energy at 298.15K-463.138301
Nuclear repulsion energy599.621542
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 B3PW91/6-31G*
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 A 3223 3083 0.00      
2 A 3208 3070 0.00      
3 A 3191 3053 0.00      
4 A 1674 1602 0.00      
5 A 1559 1492 0.00      
6 A 1321 1264 0.00      
7 A 1221 1168 0.00      
8 A 1066 1020 0.00      
9 A 1019 975 0.00      
10 A 974 932 0.00      
11 A 862 825 0.00      
12 A 757 725 0.00      
13 A 420 402 0.00      
14 A 314 300 0.00      
15 A 72 68 0.00      
16 B1 3221 3082 39.96      
17 B1 3205 3067 25.85      
18 B1 3191 3052 8.48      
19 B1 1675 1602 11.29      
20 B1 1533 1467 31.40      
21 B1 1212 1160 0.67      
22 B1 1078 1031 3.41      
23 B1 1032 987 3.72      
24 B1 1012 969 1.84      
25 B1 972 930 0.77      
26 B1 860 823 0.51      
27 B1 620 593 7.89      
28 B1 413 395 0.34      
29 B2 3214 3075 54.76      
30 B2 3198 3060 3.62      
31 B2 1639 1568 4.01      
32 B2 1479 1415 8.84      
33 B2 1384 1324 0.19      
34 B2 1324 1267 3.34      
35 B2 1193 1141 0.06      
36 B2 1115 1066 7.82      
37 B2 997 954 0.04      
38 B2 939 898 0.94      
39 B2 796 761 6.34      
40 B2 714 683 7.33      
41 B2 637 609 0.02      
42 B2 558 534 2.01      
43 B2 270 258 0.05      
44 B2 125 120 0.07      
45 B3 3212 3073 9.55      
46 B3 3196 3057 0.00      
47 B3 1655 1583 0.11      
48 B3 1507 1441 1.36      
49 B3 1373 1313 0.01      
50 B3 1357 1298 0.04      
51 B3 1192 1141 0.00      
52 B3 1118 1070 0.50      
53 B3 997 954 0.21      
54 B3 921 881 3.15      
55 B3 755 722 77.93      
56 B3 715 684 40.22      
57 B3 625 598 0.00      
58 B3 501 479 5.57      
59 B3 369 353 0.14      
60 B3 95 91 0.70      

Unscaled Zero Point Vibrational Energy (zpe) 40035.4 cm-1
Scaled (by 0.9567) Zero Point Vibrational Energy (zpe) 38301.9 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 B3PW91/6-31G*
ABC
0.09559 0.01825 0.01591

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/6-31G*

Point Group is D2

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.741
C2 0.000 0.000 -0.741
C3 -0.405 1.133 1.462
C4 0.405 -1.133 1.462
C5 -0.405 -1.133 -1.462
C6 0.405 1.133 -1.462
C7 -0.405 1.134 2.854
C8 0.405 -1.134 2.854
C9 -0.405 -1.134 -2.854
C10 0.405 1.134 -2.854
C11 0.000 0.000 3.556
C12 0.000 0.000 -3.556
H13 -0.749 2.013 0.923
H14 0.749 -2.013 0.923
H15 -0.749 -2.013 -0.923
H16 0.749 2.013 -0.923
H17 -0.731 2.021 3.392
H18 0.731 -2.021 3.392
H19 -0.731 -2.021 -3.392
H20 0.731 2.021 -3.392
H21 0.000 0.000 4.643
H22 0.000 0.000 -4.643

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 C8 C9 C10 C11 C12 H13 H14 H15 H16 H17 H18 H19 H20 H21 H22
C11.48201.40291.40292.51002.51002.43182.43183.79113.79112.81534.29732.15532.15532.71662.71663.41233.41234.65794.65793.90235.3843
C21.48202.51002.51001.40291.40293.79113.79112.43182.43184.29732.81532.71662.71662.15532.15534.65794.65793.41233.41235.38433.9023
C31.40292.51002.40733.69913.03351.39222.78134.87484.39082.41595.16031.08723.39423.96242.79132.14913.86855.79725.06293.40186.2225
C41.40292.51002.40733.03353.69912.78131.39224.39084.87482.41595.16033.39421.08722.79133.96243.86852.14915.06295.79723.40186.2225
C52.51001.40293.69913.03352.40734.87484.39081.39222.78135.16032.41593.96242.79131.08723.39425.79725.06292.14913.86856.22253.4018
C62.51001.40293.03353.69912.40734.39084.87482.78131.39225.16032.41592.79133.96243.39421.08725.06295.79723.86852.14916.22253.4018
C72.43183.79111.39222.78134.87484.39082.40836.14165.76471.39416.52222.14933.86824.92774.04551.08733.39617.00456.40952.15707.5932
C82.43183.79112.78131.39224.39084.87482.40835.76476.14161.39416.52223.86822.14934.04554.92773.39611.08736.40957.00452.15707.5932
C93.79112.43184.87484.39081.39222.78136.14165.76472.40836.52221.39414.92774.04552.14933.86827.00456.40951.08733.39617.59322.1570
C103.79112.43184.39084.87482.78131.39225.76476.14162.40836.52221.39414.04554.92773.86822.14936.40957.00453.39611.08737.59322.1570
C112.81534.29732.41592.41595.16035.16031.39411.39416.52226.52227.11273.39833.39834.96734.96732.15542.15547.27267.27261.08708.1997
C124.29732.81535.16035.16032.41592.41596.52226.52221.39411.39417.11274.96734.96733.39833.39837.27267.27262.15542.15548.19971.0870
H132.15532.71661.08723.39423.96242.79132.14933.86824.92774.04553.39834.96734.29524.42832.37712.46894.95545.90614.56124.29595.9660
H142.15532.71663.39421.08722.79133.96243.86822.14934.04554.92773.39834.96734.29522.37714.42834.95542.46894.56125.90614.29595.9660
H152.71662.15533.96242.79131.08723.39424.92774.04552.14933.86824.96733.39834.42832.37714.29525.90614.56122.46894.95545.96604.2959
H162.71662.15532.79133.96243.39421.08724.04554.92773.86822.14934.96733.39832.37714.42834.29524.56125.90614.95542.46895.96604.2959
H173.41234.65792.14913.86855.79725.06291.08733.39617.00456.40952.15547.27262.46894.95545.90614.56124.29827.89596.93902.48718.3173
H183.41234.65793.86852.14915.06295.79723.39611.08736.40957.00452.15547.27264.95542.46894.56125.90614.29826.93907.89592.48718.3173
H194.65793.41235.79725.06292.14913.86857.00456.40951.08733.39617.27262.15545.90614.56122.46894.95547.89596.93904.29828.31732.4871
H204.65793.41235.06295.79723.86852.14916.40957.00453.39611.08737.27262.15544.56125.90614.95542.46896.93907.89594.29828.31732.4871
H213.90235.38433.40183.40186.22256.22252.15702.15707.59327.59321.08708.19974.29594.29595.96605.96602.48712.48718.31738.31739.2867
H225.38433.90236.22256.22253.40183.40187.59327.59322.15702.15708.19971.08705.96605.96604.29594.29598.31738.31732.48712.48719.2867

picture of biphenyl state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C5 120.909 C1 C2 C6 120.909
C1 C3 C7 120.930 C1 C3 H13 119.355
C1 C4 C8 120.930 C1 C4 H14 119.355
C2 C1 C3 120.909 C2 C1 C4 120.909
C2 C5 C9 120.930 C2 C5 H15 119.355
C2 C6 C10 120.930 C2 C6 H16 119.355
C3 C1 C4 118.182 C3 C7 C11 120.241
C3 C7 H17 119.664 C4 C8 C11 120.241
C4 C8 H18 119.664 C5 C2 C6 118.182
C5 C9 C12 120.241 C5 C9 H19 119.664
C6 C10 C12 120.241 C6 C10 H20 119.664
C7 C3 H13 119.695 C7 C11 C8 119.476
C7 C11 H21 120.262 C8 C4 H14 119.695
C8 C11 H21 120.262 C9 C5 H15 119.695
C9 C12 C10 119.476 C9 C12 H22 120.262
C10 C6 H16 119.695 C10 C12 H22 120.262
C11 C7 H17 120.092 C11 C8 H18 120.092
C12 C9 H19 120.092 C12 C10 H20 120.092
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.068      
2 C 0.068      
3 C -0.196      
4 C -0.196      
5 C -0.196      
6 C -0.196      
7 C -0.168      
8 C -0.168      
9 C -0.168      
10 C -0.168      
11 C -0.160      
12 C -0.160      
13 H 0.166      
14 H 0.166      
15 H 0.166      
16 H 0.166      
17 H 0.164      
18 H 0.164      
19 H 0.164      
20 H 0.164      
21 H 0.163      
22 H 0.163      


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 0.000 0.000
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -73.371 0.000 0.000
y 0.000 -61.927 0.000
z 0.000 0.000 -59.907
Traceless
 xyz
x -12.454 0.000 0.000
y 0.000 4.712 0.000
z 0.000 0.000 7.742
Polar
3z2-r215.484
x2-y2-11.444
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.629 0.000 0.000
y 0.000 17.675 0.000
z 0.000 0.000 28.028


<r2> (average value of r2) Å2
<r2> 644.754
(<r2>)1/2 25.392