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All results from a given calculation for C12H10 (biphenyl)

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 D2 1A
Energy calculated at B3LYP/CEP-121G
 hartrees
Energy at 0K-73.713551
Energy at 298.15K-73.723801
Nuclear repulsion energy293.696439
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
(Å4/u)
Dep P Dep U
1 A 3182 3101 0.00      
2 A 3164 3083 0.00      
3 A 3140 3060 0.00      
4 A 1631 1589 0.00      
5 A 1530 1491 0.00      
6 A 1298 1265 0.00      
7 A 1220 1189 0.00      
8 A 1040 1014 0.00      
9 A 1009 983 0.00      
10 A 994 969 0.00      
11 A 882 859 0.00      
12 A 744 725 0.00      
13 A 420 409 0.00      
14 A 312 304 0.00      
15 A 61 59 0.00      
16 B1 3180 3099 59.99      
17 B1 3159 3078 56.95      
18 B1 3139 3059 10.36      
19 B1 1629 1587 15.45      
20 B1 1505 1466 39.17      
21 B1 1209 1179 0.30      
22 B1 1055 1028 3.62      
23 B1 1019 993 5.16      
24 B1 994 969 1.38      
25 B1 986 961 1.72      
26 B1 882 860 0.59      
27 B1 621 605 7.28      
28 B1 418 407 0.26      
29 B2 3172 3091 93.39      
30 B2 3150 3070 12.17      
31 B2 1594 1553 5.10      
32 B2 1449 1412 8.72      
33 B2 1365 1330 1.11      
34 B2 1306 1273 2.55      
35 B2 1191 1161 0.01      
36 B2 1093 1065 8.52      
37 B2 1012 986 0.07      
38 B2 953 929 1.32      
39 B2 801 780 12.66      
40 B2 705 687 5.56      
41 B2 636 620 0.00      
42 B2 558 543 2.07      
43 B2 266 259 0.01      
44 B2 133 130 0.10      
45 B3 3167 3086 14.44      
46 B3 3146 3066 0.02      
47 B3 1610 1568 0.15      
48 B3 1476 1439 1.37      
49 B3 1358 1323 0.10      
50 B3 1333 1299 0.02      
51 B3 1190 1160 0.00      
52 B3 1101 1073 0.43      
53 B3 1013 987 0.16      
54 B3 938 914 3.73      
55 B3 766 746 165.68      
56 B3 702 684 13.67      
57 B3 623 608 0.02      
58 B3 492 480 6.29      
59 B3 374 364 0.25      
60 B3 94 92 0.90      

Unscaled Zero Point Vibrational Energy (zpe) 39591.9 cm-1
Scaled (by 0.9745) Zero Point Vibrational Energy (zpe) 38582.3 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
0.09320 0.01780 0.01542

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

Point Group is D2

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.751
C2 0.000 0.000 -0.751
C3 -0.374 1.161 1.483
C4 0.374 -1.161 1.483
C5 -0.374 -1.161 -1.483
C6 0.374 1.161 -1.483
C7 -0.375 1.162 2.895
C8 0.375 -1.162 2.895
C9 -0.375 -1.162 -2.895
C10 0.375 1.162 -2.895
C11 0.000 0.000 3.609
C12 0.000 0.000 -3.609
H13 -0.692 2.054 0.948
H14 0.692 -2.054 0.948
H15 -0.692 -2.054 -0.948
H16 0.692 2.054 -0.948
H17 -0.674 2.060 3.432
H18 0.674 -2.060 3.432
H19 -0.674 -2.060 -3.432
H20 0.674 2.060 -3.432
H21 0.000 0.000 4.697
H22 0.000 0.000 -4.697

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
C11.50211.42281.42282.54542.54542.46732.46733.84523.84522.85794.36002.17602.17602.75382.75383.44763.44764.71144.71143.94595.4480
C21.50212.54542.54541.42281.42283.84523.84522.46732.46734.36002.85792.75382.75382.17602.17604.71144.71143.44763.44765.44803.9459
C31.42282.54542.44033.76723.05851.41232.82014.95634.44152.45135.23601.08763.42904.04342.80022.16733.90835.88445.10513.43796.2991
C41.42282.54542.44033.05853.76722.82011.41234.44154.95632.45135.23603.42901.08762.80024.04343.90832.16735.10515.88443.43796.2991
C52.54541.42283.76723.05852.44034.95634.44151.41232.82015.23602.45134.04342.80021.08763.42905.88445.10512.16733.90836.29913.4379
C62.54541.42283.05853.76722.44034.44154.95632.82011.41235.23602.45132.80024.04343.42901.08765.10515.88443.90832.16736.29913.4379
C72.46733.84521.41232.82014.95634.44152.44176.23925.83861.41426.61772.16483.90745.02114.08711.08833.43057.10676.47622.17657.6896
C82.46733.84522.82011.41234.44154.95632.44175.83866.23921.41426.61773.90742.16484.08715.02113.43051.08836.47627.10672.17657.6896
C93.84522.46734.95634.44151.41232.82016.23925.83862.44176.61771.41425.02114.08712.16483.90747.10676.47621.08833.43057.68962.1765
C103.84522.46734.44154.95632.82011.41235.83866.23922.44176.61771.41424.08715.02113.90742.16486.47627.10673.43051.08837.68962.1765
C112.85794.36002.45132.45135.23605.23601.41421.41426.61776.61777.21803.43163.43165.04625.04622.17462.17467.36727.36721.08798.3059
C124.36002.85795.23605.23602.45132.45136.61776.61771.41421.41427.21805.04625.04623.43163.43167.36727.36722.17462.17468.30591.0879
H132.17602.75381.08763.42904.04342.80022.16483.90745.02114.08713.43165.04624.33414.52412.34742.48414.99576.00934.58834.33006.0468
H142.17602.75383.42901.08762.80024.04343.90742.16484.08715.02113.43165.04624.33412.34744.52414.99572.48414.58836.00934.33006.0468
H152.75382.17604.04342.80021.08763.42905.02114.08712.16483.90745.04623.43164.52412.34744.33416.00934.58832.48414.99576.04684.3300
H162.75382.17602.80024.04343.42901.08764.08715.02113.90742.16485.04623.43162.34744.52414.33414.58836.00934.99572.48416.04684.3300
H173.44764.71142.16733.90835.88445.10511.08833.43057.10676.47622.17467.36722.48414.99576.00934.58834.33478.00606.99532.50948.4131
H183.44764.71143.90832.16735.10515.88443.43051.08836.47627.10672.17467.36724.99572.48414.58836.00934.33476.99538.00602.50948.4131
H194.71143.44765.88445.10512.16733.90837.10676.47621.08833.43057.36722.17466.00934.58832.48414.99578.00606.99534.33478.41312.5094
H204.71143.44765.10515.88443.90832.16736.47627.10673.43051.08837.36722.17464.58836.00934.99572.48416.99538.00604.33478.41312.5094
H213.94595.44803.43793.43796.29916.29912.17652.17657.68967.68961.08798.30594.33004.33006.04686.04682.50942.50948.41318.41319.3939
H225.44803.94596.29916.29913.43793.43797.68967.68962.17652.17658.30591.08796.04686.04684.33004.33008.41318.41312.50942.50949.3939

picture of biphenyl state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C5 120.955 C1 C2 C6 120.955
C1 C3 C7 120.984 C1 C3 H13 119.579
C1 C4 C8 120.984 C1 C4 H14 119.579
C2 C1 C3 120.955 C2 C1 C4 120.955
C2 C5 C9 120.984 C2 C5 H15 119.579
C2 C6 C10 120.984 C2 C6 H16 119.579
C3 C1 C4 118.091 C3 C7 C11 120.286
C3 C7 H17 119.601 C4 C8 C11 120.286
C4 C8 H18 119.601 C5 C2 C6 118.091
C5 C9 C12 120.286 C5 C9 H19 119.601
C6 C10 C12 120.286 C6 C10 H20 119.601
C7 C3 H13 119.412 C7 C11 C8 119.370
C7 C11 H21 120.315 C8 C4 H14 119.412
C8 C11 H21 120.315 C9 C5 H15 119.412
C9 C12 C10 119.370 C9 C12 H22 120.315
C10 C6 H16 119.412 C10 C12 H22 120.315
C11 C7 H17 120.112 C11 C8 H18 120.112
C12 C9 H19 120.112 C12 C10 H20 120.112
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 0.137      
2 C 0.137      
3 C -0.253      
4 C -0.253      
5 C -0.253      
6 C -0.253      
7 C -0.147      
8 C -0.147      
9 C -0.147      
10 C -0.147      
11 C -0.165      
12 C -0.165      
13 H 0.190      
14 H 0.190      
15 H 0.190      
16 H 0.190      
17 H 0.149      
18 H 0.149      
19 H 0.149      
20 H 0.149      
21 H 0.150      
22 H 0.150      


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 -76.204 0.000 0.000
y 0.000 -63.522 0.000
z 0.000 0.000 -62.080
Traceless
 xyz
x -13.403 0.000 0.000
y 0.000 5.620 0.000
z 0.000 0.000 7.783
Polar
3z2-r215.566
x2-y2-12.682
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.567 0.000 0.000
y 0.000 19.553 0.000
z 0.000 0.000 30.141


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