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All results from a given calculation for C12H10 (biphenyl)

using model chemistry: mPW1PW91/6-31G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D2 1A
Energy calculated at mPW1PW91/6-31G**
 hartrees
Energy at 0K-463.212697
Energy at 298.15K-463.222924
Nuclear repulsion energy600.652930
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 mPW1PW91/6-31G**
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 3240 3083 0.00      
2 A 3226 3069 0.00      
3 A 3210 3054 0.00      
4 A 1686 1605 0.00      
5 A 1565 1489 0.00      
6 A 1328 1264 0.00      
7 A 1220 1161 0.00      
8 A 1071 1019 0.00      
9 A 1023 974 0.00      
10 A 988 940 0.00      
11 A 869 827 0.00      
12 A 761 724 0.00      
13 A 423 402 0.00      
14 A 316 300 0.00      
15 A 73 69 0.00      
16 B1 3240 3082 34.09      
17 B1 3223 3067 18.97      
18 B1 3209 3053 8.69      
19 B1 1686 1604 11.84      
20 B1 1535 1461 33.68      
21 B1 1211 1153 0.78      
22 B1 1082 1029 3.90      
23 B1 1039 988 3.60      
24 B1 1016 967 1.96      
25 B1 985 937 0.81      
26 B1 867 825 0.54      
27 B1 622 592 7.71      
28 B1 415 395 0.32      
29 B2 3231 3074 45.75      
30 B2 3216 3060 1.87      
31 B2 1650 1570 4.04      
32 B2 1482 1410 9.48      
33 B2 1387 1320 0.09      
34 B2 1325 1260 3.31      
35 B2 1191 1134 0.07      
36 B2 1118 1064 8.55      
37 B2 1008 959 0.03      
38 B2 948 902 0.91      
39 B2 802 763 6.10      
40 B2 719 684 7.28      
41 B2 639 608 0.02      
42 B2 561 534 2.03      
43 B2 271 258 0.05      
44 B2 126 120 0.07      
45 B3 3230 3073 7.68      
46 B3 3213 3058 0.02      
47 B3 1667 1586 0.12      
48 B3 1510 1437 1.44      
49 B3 1378 1311 0.01      
50 B3 1356 1290 0.04      
51 B3 1191 1133 0.00      
52 B3 1120 1066 0.58      
53 B3 1008 959 0.17      
54 B3 930 885 3.11      
55 B3 760 723 75.82      
56 B3 720 685 40.96      
57 B3 627 597 0.00      
58 B3 503 479 5.72      
59 B3 371 353 0.16      
60 B3 95 91 0.71      

Unscaled Zero Point Vibrational Energy (zpe) 40238.7 cm-1
Scaled (by 0.9515) Zero Point Vibrational Energy (zpe) 38287.1 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 mPW1PW91/6-31G**
ABC
0.09589 0.01832 0.01596

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-31G**

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 -0.404 1.132 1.459
C4 0.404 -1.132 1.459
C5 -0.404 -1.132 -1.459
C6 0.404 1.132 -1.459
C7 -0.403 1.133 2.849
C8 0.403 -1.133 2.849
C9 -0.403 -1.133 -2.849
C10 0.403 1.133 -2.849
C11 0.000 0.000 3.550
C12 0.000 0.000 -3.550
H13 -0.746 2.010 0.920
H14 0.746 -2.010 0.920
H15 -0.746 -2.010 -0.920
H16 0.746 2.010 -0.920
H17 -0.728 2.018 3.386
H18 0.728 -2.018 3.386
H19 -0.728 -2.018 -3.386
H20 0.728 2.018 -3.386
H21 0.000 0.000 4.635
H22 0.000 0.000 -4.635

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
C11.48011.40041.40042.50592.50592.42732.42733.78483.78482.80994.29002.15132.15132.71142.71143.40593.40594.65004.65003.89465.3747
C21.48012.50592.50591.40041.40043.78483.78482.42732.42734.29002.80992.71142.71142.15132.15134.65004.65003.40593.40595.37473.8946
C31.40042.50592.40393.69313.02701.39002.77714.86664.38232.41215.15091.08503.38873.95582.78392.14533.86205.78755.05283.39586.2108
C41.40042.50592.40393.02703.69312.77711.39004.38234.86662.41215.15093.38871.08502.78393.95583.86202.14535.05285.78753.39586.2108
C52.50591.40043.69313.02702.40394.86664.38231.39002.77715.15092.41213.95582.78391.08503.38875.78755.05282.14533.86206.21083.3958
C62.50591.40043.02703.69312.40394.38234.86662.77711.39005.15092.41212.78393.95583.38871.08505.05285.78753.86202.14536.21083.3958
C72.42733.78481.39002.77714.86664.38232.40466.13125.75411.39196.51062.14613.86194.91914.03651.08503.39016.99276.39752.15297.5793
C82.42733.78482.77711.39004.38234.86662.40465.75416.13121.39196.51063.86192.14614.03654.91913.39011.08506.39756.99272.15297.5793
C93.78482.42734.86664.38231.39002.77716.13125.75412.40466.51061.39194.91914.03652.14613.86196.99276.39751.08503.39017.57932.1529
C103.78482.42734.38234.86662.77711.39005.75416.13122.40466.51061.39194.03654.91913.86192.14616.39756.99273.39011.08507.57932.1529
C112.80994.29002.41212.41215.15095.15091.39191.39196.51066.51067.09993.39283.39284.95764.95762.15142.15147.25977.25971.08478.1846
C124.29002.80995.15095.15092.41212.41216.51066.51061.39191.39197.09994.95764.95763.39283.39287.25977.25972.15142.15148.18461.0847
H132.15132.71141.08503.38873.95582.78392.14613.86194.91914.03653.39284.95764.28744.42102.36872.46554.94695.89604.55084.28875.9541
H142.15132.71143.38871.08502.78393.95583.86192.14614.03654.91913.39284.95764.28742.36874.42104.94692.46554.55085.89604.28875.9541
H152.71142.15133.95582.78391.08503.38874.91914.03652.14613.86194.95763.39284.42102.36874.28745.89604.55082.46554.94695.95414.2887
H162.71142.15132.78393.95583.38871.08504.03654.91913.86192.14614.95763.39282.36874.42104.28744.55085.89604.94692.46555.95414.2887
H173.40594.65002.14533.86205.78755.05281.08503.39016.99276.39752.15147.25972.46554.94695.89604.55084.29027.88276.92572.48228.3021
H183.40594.65003.86202.14535.05285.78753.39011.08506.39756.99272.15147.25974.94692.46554.55085.89604.29026.92577.88272.48228.3021
H194.65003.40595.78755.05282.14533.86206.99276.39751.08503.39017.25972.15145.89604.55082.46554.94697.88276.92574.29028.30212.4822
H204.65003.40595.05285.78753.86202.14536.39756.99273.39011.08507.25972.15144.55085.89604.94692.46556.92577.88274.29028.30212.4822
H213.89465.37473.39583.39586.21086.21082.15292.15297.57937.57931.08478.18464.28874.28875.95415.95412.48222.48228.30218.30219.2693
H225.37473.89466.21086.21083.39583.39587.57937.57932.15292.15298.18461.08475.95415.95414.28874.28878.30218.30212.48222.48229.2693

picture of biphenyl state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C5 120.876 C1 C2 C6 120.876
C1 C3 C7 120.889 C1 C3 H13 119.346
C1 C4 C8 120.889 C1 C4 H14 119.346
C2 C1 C3 120.876 C2 C1 C4 120.876
C2 C5 C9 120.889 C2 C5 H15 119.346
C2 C6 C10 120.889 C2 C6 H16 119.346
C3 C1 C4 118.249 C3 C7 C11 120.241
C3 C7 H17 119.673 C4 C8 C11 120.241
C4 C8 H18 119.673 C5 C2 C6 118.249
C5 C9 C12 120.241 C5 C9 H19 119.673
C6 C10 C12 120.241 C6 C10 H20 119.673
C7 C3 H13 119.744 C7 C11 C8 119.490
C7 C11 H21 120.255 C8 C4 H14 119.744
C8 C11 H21 120.255 C9 C5 H15 119.744
C9 C12 C10 119.490 C9 C12 H22 120.255
C10 C6 H16 119.744 C10 C12 H22 120.255
C11 C7 H17 120.083 C11 C8 H18 120.083
C12 C9 H19 120.083 C12 C10 H20 120.083
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.035      
2 C 0.035      
3 C -0.141      
4 C -0.141      
5 C -0.141      
6 C -0.141      
7 C -0.134      
8 C -0.134      
9 C -0.134      
10 C -0.134      
11 C -0.124      
12 C -0.124      
13 H 0.129      
14 H 0.129      
15 H 0.129      
16 H 0.129      
17 H 0.128      
18 H 0.128      
19 H 0.128      
20 H 0.128      
21 H 0.127      
22 H 0.127      


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 -73.372 0.000 0.000
y 0.000 -61.896 0.000
z 0.000 0.000 -59.938
Traceless
 xyz
x -12.455 0.000 0.000
y 0.000 4.758 0.000
z 0.000 0.000 7.697
Polar
3z2-r215.394
x2-y2-11.476
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.701 0.000 0.000
y 0.000 17.684 0.000
z 0.000 0.000 27.844


<r2> (average value of r2) Å2
<r2> 642.616
(<r2>)1/2 25.350