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All results from a given calculation for C12H10 (biphenyl)

using model chemistry: wB97X-D/TZVP

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D2 1A
Energy calculated at wB97X-D/TZVP
 hartrees
Energy at 0K-463.284078
Energy at 298.15K-463.294370
HF Energy-463.284078
Nuclear repulsion energy602.110601
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 wB97X-D/TZVP
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 3231 3086 0.00      
2 A 3216 3072 0.00      
3 A 3201 3057 0.00      
4 A 1682 1606 0.00      
5 A 1561 1491 0.00      
6 A 1321 1262 0.00      
7 A 1226 1171 0.00      
8 A 1068 1020 0.00      
9 A 1031 984 0.00      
10 A 998 953 0.00      
11 A 872 833 0.00      
12 A 767 732 0.00      
13 A 423 404 0.00      
14 A 317 303 0.00      
15 A 68 64 0.00      
16 B1 3231 3085 28.00      
17 B1 3214 3069 14.12      
18 B1 3200 3056 8.57      
19 B1 1677 1602 14.15      
20 B1 1534 1465 35.40      
21 B1 1217 1162 0.40      
22 B1 1082 1033 4.27      
23 B1 1039 992 8.30      
24 B1 1026 980 0.06      
25 B1 996 951 0.59      
26 B1 870 831 0.26      
27 B1 633 604 6.81      
28 B1 415 396 0.27      
29 B2 3221 3076 36.73      
30 B2 3206 3062 1.26      
31 B2 1643 1569 3.83      
32 B2 1478 1411 9.15      
33 B2 1367 1305 1.11      
34 B2 1304 1245 0.93      
35 B2 1191 1137 0.03      
36 B2 1117 1066 9.90      
37 B2 1008 963 0.06      
38 B2 955 912 1.37      
39 B2 802 766 7.87      
40 B2 712 680 12.02      
41 B2 646 617 0.00      
42 B2 559 534 3.52      
43 B2 274 261 0.04      
44 B2 126 121 0.16      
45 B3 3220 3075 6.86      
46 B3 3204 3060 0.02      
47 B3 1660 1585 0.19      
48 B3 1506 1438 1.62      
49 B3 1364 1303 0.06      
50 B3 1328 1268 0.04      
51 B3 1190 1136 0.01      
52 B3 1119 1069 0.92      
53 B3 1008 963 0.12      
54 B3 936 894 3.62      
55 B3 759 724 85.01      
56 B3 713 681 59.76      
57 B3 634 606 0.00      
58 B3 509 486 7.99      
59 B3 368 352 0.31      
60 B3 90 86 1.00      

Unscaled Zero Point Vibrational Energy (zpe) 40164.0 cm-1
Scaled (by 0.955) Zero Point Vibrational Energy (zpe) 38356.6 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 wB97X-D/TZVP
ABC
0.09646 0.01835 0.01609

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/TZVP

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 -0.453 1.108 1.457
C4 0.453 -1.108 1.457
C5 -0.453 -1.108 -1.457
C6 0.453 1.108 -1.457
C7 -0.452 1.109 2.843
C8 0.452 -1.109 2.843
C9 -0.452 -1.109 -2.843
C10 0.452 1.109 -2.843
C11 0.000 0.000 3.541
C12 0.000 0.000 -3.541
H13 -0.830 1.969 0.920
H14 0.830 -1.969 0.920
H15 -0.830 -1.969 -0.920
H16 0.830 1.969 -0.920
H17 -0.805 1.980 3.381
H18 0.805 -1.980 3.381
H19 -0.805 -1.980 -3.381
H20 0.805 1.980 -3.381
H21 0.000 0.000 4.623
H22 0.000 0.000 -4.623

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
C11.48251.39481.39482.50322.50322.41892.41893.77893.77892.79964.28212.14432.14432.70652.70653.39643.39644.64324.64323.88225.3647
C21.48252.50322.50321.39481.39483.77893.77892.41892.41894.28212.79962.70652.70652.14432.14434.64324.64323.39643.39645.36473.8822
C31.39482.50322.39423.66133.05181.38572.76674.83814.39412.40315.13941.08273.37703.90672.83482.14113.84965.75045.07423.38506.1974
C41.39482.50322.39423.05183.66132.76671.38574.39414.83812.40315.13943.37701.08272.83483.90673.84962.14115.07425.75043.38506.1974
C52.50321.39483.66133.05182.39424.83814.39411.38572.76675.13942.40313.90672.83481.08273.37705.75045.07422.14113.84966.19743.3850
C62.50321.39483.05183.66132.39424.39414.83812.76671.38575.13942.40312.83483.90673.37701.08275.07425.75043.84962.14116.19743.3850
C72.41893.77891.38572.76674.83814.39412.39516.10325.75711.38616.49512.14033.84924.87624.06681.08293.37816.95726.40862.14587.5618
C82.41893.77892.76671.38574.39414.83812.39515.75716.10321.38616.49513.84922.14034.06684.87623.37811.08296.40866.95722.14587.5618
C93.77892.41894.83814.39411.38572.76676.10325.75712.39516.49511.38614.87624.06682.14033.84926.95726.40861.08293.37817.56182.1458
C103.77892.41894.39414.83812.76671.38575.75716.10322.39516.49511.38614.06684.87623.84922.14036.40866.95723.37811.08297.56182.1458
C112.79964.28212.40312.40315.13945.13941.38611.38616.49516.49517.08173.38183.38184.94614.94612.14352.14357.24417.24411.08268.1643
C124.28212.79965.13945.13942.40312.40316.49516.49511.38611.38617.08174.94614.94613.38183.38187.24417.24412.14352.14358.16431.0826
H132.14432.70651.08273.37703.90672.83482.14033.84924.87624.06683.38184.94614.27384.34702.47722.46114.93215.83904.60064.27595.9409
H142.14432.70653.37701.08272.83483.90673.84922.14034.06684.87623.38184.94614.27382.47724.34704.93212.46114.60065.83904.27595.9409
H152.70652.14433.90672.83481.08273.37704.87624.06682.14033.84924.94613.38184.34702.47724.27385.83904.60062.46114.93215.94094.2759
H162.70652.14432.83483.90673.37701.08274.06684.87623.84922.14034.94613.38182.47724.34704.27384.60065.83904.93212.46115.94094.2759
H173.39644.64322.14113.84965.75045.07421.08293.37816.95726.40862.14357.24412.46114.93215.83904.60064.27507.83606.95032.47258.2847
H183.39644.64323.84962.14115.07425.75043.37811.08296.40866.95722.14357.24414.93212.46114.60065.83904.27506.95037.83602.47258.2847
H194.64323.39645.75045.07422.14113.84966.95726.40861.08293.37817.24412.14355.83904.60062.46114.93217.83606.95034.27508.28472.4725
H204.64323.39645.07425.75043.84962.14116.40866.95723.37811.08297.24412.14354.60065.83904.93212.46116.95037.83604.27508.28472.4725
H213.88225.36473.38503.38506.19746.19742.14582.14587.56187.56181.08268.16434.27594.27595.94095.94092.47252.47258.28478.28479.2470
H225.36473.88226.19746.19743.38503.38507.56187.56182.14582.14588.16431.08265.94095.94094.27594.27598.28478.28472.47252.47259.2470

picture of biphenyl state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C5 120.881 C1 C2 C6 120.881
C1 C3 C7 120.901 C1 C3 H13 119.346
C1 C4 C8 120.901 C1 C4 H14 119.346
C2 C1 C3 120.881 C2 C1 C4 120.881
C2 C5 C9 120.901 C2 C5 H15 119.346
C2 C6 C10 120.901 C2 C6 H16 119.346
C3 C1 C4 118.237 C3 C7 C11 120.215
C3 C7 H17 119.799 C4 C8 C11 120.215
C4 C8 H18 119.799 C5 C2 C6 118.237
C5 C9 C12 120.215 C5 C9 H19 119.799
C6 C10 C12 120.215 C6 C10 H20 119.799
C7 C3 H13 119.740 C7 C11 C8 119.531
C7 C11 H21 120.235 C8 C4 H14 119.740
C8 C11 H21 120.235 C9 C5 H15 119.740
C9 C12 C10 119.531 C9 C12 H22 120.235
C10 C6 H16 119.740 C10 C12 H22 120.235
C11 C7 H17 119.986 C11 C8 H18 119.986
C12 C9 H19 119.986 C12 C10 H20 119.986
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.065      
2 C 0.065      
3 C -0.188      
4 C -0.188      
5 C -0.188      
6 C -0.188      
7 C -0.112      
8 C -0.112      
9 C -0.112      
10 C -0.112      
11 C -0.135      
12 C -0.135      
13 H 0.151      
14 H 0.151      
15 H 0.151      
16 H 0.151      
17 H 0.122      
18 H 0.122      
19 H 0.122      
20 H 0.122      
21 H 0.124      
22 H 0.124      


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 -74.918 0.000 0.000
y 0.000 -63.391 0.000
z 0.000 0.000 -61.519
Traceless
 xyz
x -12.463 0.000 0.000
y 0.000 4.827 0.000
z 0.000 0.000 7.636
Polar
3z2-r215.272
x2-y2-11.527
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 11.596 0.000 0.000
y 0.000 19.086 0.000
z 0.000 0.000 28.376


<r2> (average value of r2) Å2
<r2> 640.667
(<r2>)1/2 25.311