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All results from a given calculation for C12H10 (biphenyl)

using model chemistry: B3LYPultrafine/aug-cc-pVTZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D2 1A
Energy calculated at B3LYPultrafine/aug-cc-pVTZ
 hartrees
Energy at 0K-463.470614
Energy at 298.15K-463.480895
HF Energy-463.470614
Nuclear repulsion energy600.961303
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 B3LYPultrafine/aug-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 3192 3088 0.00      
2 A 3179 3076 0.00      
3 A 3161 3059 0.00      
4 A 1640 1587 0.00      
5 A 1541 1491 0.00      
6 A 1303 1260 0.00      
7 A 1210 1171 0.00      
8 A 1055 1020 0.00      
9 A 1023 990 0.00      
10 A 998 966 0.00      
11 A 864 836 0.00      
12 A 758 733 0.00      
13 A 423 409 0.00      
14 A 314 304 0.00      
15 A 66 63 0.00      
16 B1 3190 3087 27.82      
17 B1 3175 3072 20.09      
18 B1 3160 3058 7.55      
19 B1 1643 1590 15.67      
20 B1 1521 1471 28.51      
21 B1 1204 1165 0.35      
22 B1 1068 1033 2.69      
23 B1 1031 998 7.13      
24 B1 1014 981 1.14      
25 B1 999 966 0.65      
26 B1 865 837 0.33      
27 B1 626 606 7.14      
28 B1 417 403 0.43      
29 B2 3184 3081 38.56      
30 B2 3169 3066 5.33      
31 B2 1609 1556 3.45      
32 B2 1465 1418 6.51      
33 B2 1362 1318 0.97      
34 B2 1297 1255 1.07      
35 B2 1183 1144 0.02      
36 B2 1102 1066 7.82      
37 B2 1016 983 0.01      
38 B2 952 921 0.95      
39 B2 805 779 6.38      
40 B2 717 694 9.99      
41 B2 642 621 0.09      
42 B2 562 544 2.78      
43 B2 268 259 0.01      
44 B2 128 123 0.11      
45 B3 3181 3078 6.77      
46 B3 3166 3063 0.02      
47 B3 1624 1571 0.20      
48 B3 1493 1445 1.06      
49 B3 1362 1318 0.06      
50 B3 1325 1282 0.05      
51 B3 1182 1144 0.00      
52 B3 1107 1071 0.75      
53 B3 1016 983 0.06      
54 B3 933 903 2.39      
55 B3 761 737 69.14      
56 B3 721 698 63.22      
57 B3 629 609 0.00      
58 B3 503 487 7.90      
59 B3 371 359 0.39      
60 B3 95 92 0.79      

Unscaled Zero Point Vibrational Energy (zpe) 39784.3 cm-1
Scaled (by 0.9675) Zero Point Vibrational Energy (zpe) 38491.3 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 B3LYPultrafine/aug-cc-pVTZ
ABC
0.09621 0.01830 0.01595

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYPultrafine/aug-cc-pVTZ

Point Group is D2

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.742
C2 0.000 0.000 -0.742
C3 -0.428 1.122 1.459
C4 0.428 -1.122 1.459
C5 -0.428 -1.122 -1.459
C6 0.428 1.122 -1.459
C7 -0.429 1.122 2.849
C8 0.429 -1.122 2.849
C9 -0.429 -1.122 -2.849
C10 0.429 1.122 -2.849
C11 0.000 0.000 3.550
C12 0.000 0.000 -3.550
H13 -0.781 1.993 0.924
H14 0.781 -1.993 0.924
H15 -0.781 -1.993 -0.924
H16 0.781 1.993 -0.924
H17 -0.772 1.998 3.384
H18 0.772 -1.998 3.384
H19 -0.772 -1.998 -3.384
H20 0.772 1.998 -3.384
H21 0.000 0.000 4.631
H22 0.000 0.000 -4.631

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
C11.48491.39861.39862.50792.50792.42502.42503.78703.78702.80724.29222.14862.14862.71292.71293.40093.40094.64954.64953.88895.3739
C21.48492.50792.50791.39861.39863.78703.78702.42502.42504.29222.80722.71292.71292.14862.14864.64954.64953.40093.40095.37393.8889
C31.39862.50792.40203.68153.04141.38972.77544.85774.39252.41095.15091.08193.38453.93822.81052.14273.85735.77175.06633.39196.2079
C41.39862.50792.40203.04143.68152.77541.38974.39254.85772.41095.15093.38451.08192.81053.93823.85732.14275.06635.77173.39196.2079
C52.50791.39863.68153.04142.40204.85774.39251.38972.77545.15092.41093.93822.81051.08193.38455.77175.06632.14273.85736.20793.3919
C62.50791.39863.04143.68152.40204.39254.85772.77541.38975.15092.41092.81053.93823.38451.08195.06635.77173.85732.14276.20793.3919
C72.42503.78701.38972.77544.85774.39252.40276.12405.76211.39086.51042.14233.85714.90554.05651.08203.38556.97906.40812.14957.5762
C82.42503.78702.77541.38974.39254.85772.40275.76216.12401.39086.51043.85712.14234.05654.90553.38551.08206.40816.97902.14957.5762
C93.78702.42504.85774.39251.38972.77546.12405.76212.40276.51041.39084.90554.05652.14233.85716.97906.40811.08203.38557.57622.1495
C103.78702.42504.39254.85772.77541.38975.76216.12402.40276.51041.39084.05654.90553.85712.14236.40816.97903.38551.08207.57622.1495
C112.80724.29222.41092.41095.15095.15091.39081.39086.51046.51047.09943.38813.38814.95934.95932.14792.14797.25737.25731.08178.1811
C124.29222.80725.15095.15092.41092.41096.51046.51041.39081.39087.09944.95934.95933.38813.38817.25737.25732.14792.14798.18111.0817
H132.14862.71291.08193.38453.93822.81052.14233.85714.90554.05653.38814.95934.28194.39412.41912.46084.93915.87274.57944.28145.9533
H142.14862.71293.38451.08192.81053.93823.85712.14234.05654.90553.38814.95934.28192.41914.39414.93912.46084.57945.87274.28145.9533
H152.71292.14863.93822.81051.08193.38454.90554.05652.14233.85714.95933.38814.39412.41914.28195.87274.57942.46084.93915.95334.2814
H162.71292.14862.81053.93823.38451.08194.05654.90553.85712.14234.95933.38812.41914.39414.28194.57945.87274.93912.46085.95334.2814
H173.40094.64952.14273.85735.77175.06631.08203.38556.97906.40812.14797.25732.46084.93915.87274.57944.28317.86016.94272.47818.2970
H183.40094.64953.85732.14275.06635.77173.38551.08206.40816.97902.14797.25734.93912.46084.57945.87274.28316.94277.86012.47818.2970
H194.64953.40095.77175.06632.14273.85736.97906.40811.08203.38557.25732.14795.87274.57942.46084.93917.86016.94274.28318.29702.4781
H204.64953.40095.06635.77173.85732.14276.40816.97903.38551.08207.25732.14794.57945.87274.93912.46086.94277.86014.28318.29702.4781
H213.88895.37393.39193.39196.20796.20792.14952.14957.57627.57621.08178.18114.28144.28145.95335.95332.47812.47818.29708.29709.2628
H225.37393.88896.20796.20793.39193.39197.57627.57622.14952.14958.18111.08175.95335.95334.28144.28148.29708.29702.47812.47819.2628

picture of biphenyl state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C5 120.828 C1 C2 C6 120.828
C1 C3 C7 120.844 C1 C3 H13 119.494
C1 C4 C8 120.844 C1 C4 H14 119.494
C2 C1 C3 120.828 C2 C1 C4 120.828
C2 C5 C9 120.844 C2 C5 H15 119.494
C2 C6 C10 120.844 C2 C6 H16 119.494
C3 C1 C4 118.344 C3 C7 C11 120.239
C3 C7 H17 119.682 C4 C8 C11 120.239
C4 C8 H18 119.682 C5 C2 C6 118.344
C5 C9 C12 120.239 C5 C9 H19 119.682
C6 C10 C12 120.239 C6 C10 H20 119.682
C7 C3 H13 119.651 C7 C11 C8 119.490
C7 C11 H21 120.255 C8 C4 H14 119.651
C8 C11 H21 120.255 C9 C5 H15 119.651
C9 C12 C10 119.490 C9 C12 H22 120.255
C10 C6 H16 119.651 C10 C12 H22 120.255
C11 C7 H17 120.077 C11 C8 H18 120.077
C12 C9 H19 120.077 C12 C10 H20 120.077
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYPultrafine/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 1.466      
2 C 1.466      
3 C -0.917      
4 C -0.917      
5 C -0.917      
6 C -0.917      
7 C -0.542      
8 C -0.542      
9 C -0.542      
10 C -0.542      
11 C -0.140      
12 C -0.140      
13 H 0.254      
14 H 0.254      
15 H 0.254      
16 H 0.254      
17 H 0.341      
18 H 0.341      
19 H 0.341      
20 H 0.341      
21 H 0.404      
22 H 0.404      


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 -75.394 0.000 0.000
y 0.000 -64.700 0.000
z 0.000 0.000 -63.542
Traceless
 xyz
x -11.273 0.000 0.000
y 0.000 4.768 0.000
z 0.000 0.000 6.506
Polar
3z2-r213.011
x2-y2-10.694
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 12.889 0.000 0.000
y 0.000 20.495 0.000
z 0.000 0.000 31.091


<r2> (average value of r2) Å2
<r2> 644.590
(<r2>)1/2 25.389