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All results from a given calculation for C12H10 (biphenyl)

using model chemistry: wB97X-D/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 wB97X-D/aug-cc-pVTZ
 hartrees
Energy at 0K-463.295659
Energy at 298.15K-463.305994
HF Energy-463.295659
Nuclear repulsion energy602.639519
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/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 3225 3085 0.00      
2 A 3209 3069 0.00      
3 A 3193 3054 0.00      
4 A 1681 1608 0.00      
5 A 1560 1493 0.00      
6 A 1321 1264 0.00      
7 A 1220 1167 0.00      
8 A 1067 1020 0.00      
9 A 1030 986 0.00      
10 A 1010 966 0.00      
11 A 874 836 0.00      
12 A 765 731 0.00      
13 A 424 406 0.00      
14 A 316 303 0.00      
15 A 68 65 0.00      
16 B1 3224 3084 30.58      
17 B1 3206 3067 14.83      
18 B1 3192 3053 9.34      
19 B1 1677 1604 15.54      
20 B1 1534 1467 32.49      
21 B1 1213 1160 0.54      
22 B1 1081 1034 3.34      
23 B1 1038 993 8.46      
24 B1 1026 981 0.02      
25 B1 1010 966 0.78      
26 B1 873 836 0.30      
27 B1 629 601 6.45      
28 B1 417 399 0.33      
29 B2 3214 3075 41.29      
30 B2 3199 3060 1.04      
31 B2 1642 1570 3.17      
32 B2 1476 1412 8.08      
33 B2 1365 1306 1.03      
34 B2 1303 1247 0.77      
35 B2 1182 1131 0.03      
36 B2 1113 1065 8.93      
37 B2 1024 980 0.02      
38 B2 961 920 1.17      
39 B2 810 775 5.78      
40 B2 721 689 11.81      
41 B2 642 615 0.08      
42 B2 566 541 3.32      
43 B2 272 260 0.02      
44 B2 127 121 0.13      
45 B3 3213 3073 7.04      
46 B3 3196 3057 0.02      
47 B3 1660 1587 0.21      
48 B3 1505 1439 1.26      
49 B3 1364 1305 0.04      
50 B3 1329 1271 0.06      
51 B3 1182 1130 0.01      
52 B3 1116 1067 0.78      
53 B3 1024 980 0.04      
54 B3 940 899 3.24      
55 B3 766 733 52.46      
56 B3 724 692 84.07      
57 B3 630 603 0.01      
58 B3 509 487 8.56      
59 B3 371 355 0.33      
60 B3 90 86 0.97      

Unscaled Zero Point Vibrational Energy (zpe) 40156.3 cm-1
Scaled (by 0.9566) Zero Point Vibrational Energy (zpe) 38413.6 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/aug-cc-pVTZ
ABC
0.09665 0.01840 0.01608

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

Point Group is D2

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.740
C2 0.000 0.000 -0.740
C3 -0.447 1.109 1.455
C4 0.447 -1.109 1.455
C5 -0.447 -1.109 -1.455
C6 0.447 1.109 -1.455
C7 -0.446 1.110 2.840
C8 0.446 -1.110 2.840
C9 -0.446 -1.110 -2.840
C10 0.446 1.110 -2.840
C11 0.000 0.000 3.537
C12 0.000 0.000 -3.537
H13 -0.818 1.972 0.919
H14 0.818 -1.972 0.919
H15 -0.818 -1.972 -0.919
H16 0.818 1.972 -0.919
H17 -0.793 1.982 3.377
H18 0.793 -1.982 3.377
H19 -0.793 -1.982 -3.377
H20 0.793 1.982 -3.377
H21 0.000 0.000 4.619
H22 0.000 0.000 -4.619

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
C11.48071.39351.39352.50042.50042.41672.41673.77513.77512.79714.27782.14202.14202.70352.70353.39293.39294.63824.63823.87835.3590
C21.48072.50042.50041.39351.39353.77513.77512.41672.41674.27782.79712.70352.70352.14202.14204.63824.63823.39293.39295.35903.8783
C31.39352.50042.39193.66013.04511.38462.76434.83524.38742.40115.13421.08143.37353.90742.82482.13893.84585.74745.06503.38176.1908
C41.39352.50042.39193.04513.66012.76431.38464.38744.83522.40115.13423.37351.08142.82483.90743.84582.13895.06505.74743.38176.1908
C52.50041.39353.66013.04512.39194.83524.38741.38462.76435.13422.40113.90742.82481.08143.37355.74745.06502.13893.84586.19083.3817
C62.50041.39353.04513.66012.39194.38744.83522.76431.38465.13422.40112.82483.90743.37351.08145.06505.74743.84582.13896.19083.3817
C72.41673.77511.38462.76434.83524.38742.39316.09895.74971.38506.48892.13823.84554.87514.05791.08153.37496.95276.39922.14367.5541
C82.41673.77512.76431.38464.38744.83522.39315.74976.09891.38506.48893.84552.13824.05794.87513.37491.08156.39926.95272.14367.5541
C93.77512.41674.83524.38741.38462.76436.09895.74972.39316.48891.38504.87514.05792.13823.84556.95276.39921.08153.37497.55412.1436
C103.77512.41674.38744.83522.76431.38465.74976.09892.39316.48891.38504.05794.87513.84552.13826.39926.95273.37491.08157.55412.1436
C112.79714.27782.40112.40115.13425.13421.38501.38506.48896.48897.07503.37863.37864.94114.94112.14132.14137.23687.23681.08128.1562
C124.27782.79715.13425.13422.40112.40116.48896.48891.38501.38507.07504.94114.94113.37863.37867.23687.23682.14132.14138.15621.0812
H132.14202.70351.08143.37353.90742.82482.13823.84554.87514.05793.37864.94114.26924.35072.45952.45864.92705.83874.58794.27165.9345
H142.14202.70353.37351.08142.82483.90743.84552.13824.05794.87513.37864.94114.26922.45954.35074.92702.45864.58795.83874.27165.9345
H152.70352.14203.90742.82481.08143.37354.87514.05792.13823.84554.94113.37864.35072.45954.26925.83874.58792.45864.92705.93454.2716
H162.70352.14202.82483.90743.37351.08144.05794.87513.84552.13824.94113.37862.45954.35074.26924.58795.83874.92702.45865.93454.2716
H173.39294.63822.13893.84585.74745.06501.08153.37496.95276.39922.14137.23682.45864.92705.83874.58794.27067.83196.93812.47008.2760
H183.39294.63823.84582.13895.06505.74743.37491.08156.39926.95272.14137.23684.92702.45864.58795.83874.27066.93817.83192.47008.2760
H194.63823.39295.74745.06502.13893.84586.95276.39921.08153.37497.23682.14135.83874.58792.45864.92707.83196.93814.27068.27602.4700
H204.63823.39295.06505.74743.84582.13896.39926.95273.37491.08157.23682.14134.58795.83874.92702.45866.93817.83194.27068.27602.4700
H213.87835.35903.38173.38176.19086.19082.14362.14367.55417.55411.08128.15624.27164.27165.93455.93452.47002.47008.27608.27609.2373
H225.35903.87836.19086.19083.38173.38177.55417.55412.14362.14368.15621.08125.93455.93454.27164.27168.27608.27602.47002.47009.2373

picture of biphenyl state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C5 120.878 C1 C2 C6 120.878
C1 C3 C7 120.903 C1 C3 H13 119.348
C1 C4 C8 120.903 C1 C4 H14 119.348
C2 C1 C3 120.878 C2 C1 C4 120.878
C2 C5 C9 120.903 C2 C5 H15 119.348
C2 C6 C10 120.903 C2 C6 H16 119.348
C3 C1 C4 118.245 C3 C7 C11 120.210
C3 C7 H17 119.799 C4 C8 C11 120.210
C4 C8 H18 119.799 C5 C2 C6 118.245
C5 C9 C12 120.210 C5 C9 H19 119.799
C6 C10 C12 120.210 C6 C10 H20 119.799
C7 C3 H13 119.738 C7 C11 C8 119.529
C7 C11 H21 120.235 C8 C4 H14 119.738
C8 C11 H21 120.235 C9 C5 H15 119.738
C9 C12 C10 119.529 C9 C12 H22 120.235
C10 C6 H16 119.738 C10 C12 H22 120.235
C11 C7 H17 119.991 C11 C8 H18 119.991
C12 C9 H19 119.991 C12 C10 H20 119.991
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 1.594      
2 C 1.594      
3 C -1.203      
4 C -1.203      
5 C -1.203      
6 C -1.203      
7 C -0.652      
8 C -0.652      
9 C -0.652      
10 C -0.652      
11 C -0.246      
12 C -0.246      
13 H 0.444      
14 H 0.444      
15 H 0.444      
16 H 0.444      
17 H 0.461      
18 H 0.461      
19 H 0.461      
20 H 0.461      
21 H 0.552      
22 H 0.552      


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 -74.718 0.000 0.000
y 0.000 -63.604 0.000
z 0.000 0.000 -62.069
Traceless
 xyz
x -11.882 0.000 0.000
y 0.000 4.789 0.000
z 0.000 0.000 7.092
Polar
3z2-r214.185
x2-y2-11.114
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 12.877 0.000 0.000
y 0.000 20.093 0.000
z 0.000 0.000 29.636


<r2> (average value of r2) Å2
<r2> 639.971
(<r2>)1/2 25.298