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All results from a given calculation for C12H10 (biphenyl)

using model chemistry: B3PW91/3-21G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D2 1A
Energy calculated at B3PW91/3-21G*
 hartrees
Energy at 0K-460.584472
Energy at 298.15K-460.594787
Nuclear repulsion energy599.428616
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 B3PW91/3-21G*
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 3229 3098 0.00      
2 A 3212 3081 0.00      
3 A 3196 3066 0.00      
4 A 1641 1574 0.00      
5 A 1553 1490 0.00      
6 A 1317 1263 0.00      
7 A 1243 1192 0.00      
8 A 1066 1023 0.00      
9 A 1041 999 0.00      
10 A 1009 968 0.00      
11 A 875 839 0.00      
12 A 772 741 0.00      
13 A 427 410 0.00      
14 A 316 303 0.00      
15 A 68 65 0.00      
16 B1 3228 3097 24.13      
17 B1 3209 3079 18.00      
18 B1 3195 3065 5.84      
19 B1 1643 1576 9.33      
20 B1 1537 1475 43.25      
21 B1 1238 1188 0.87      
22 B1 1080 1036 1.67      
23 B1 1060 1017 7.83      
24 B1 1022 981 0.73      
25 B1 1007 967 0.55      
26 B1 873 837 0.32      
27 B1 648 622 6.08      
28 B1 420 403 0.31      
29 B2 3218 3087 29.29      
30 B2 3202 3072 2.09      
31 B2 1611 1546 5.92      
32 B2 1488 1427 12.87      
33 B2 1382 1326 3.35      
34 B2 1318 1264 1.49      
35 B2 1230 1180 0.08      
36 B2 1113 1068 7.30      
37 B2 1036 994 0.03      
38 B2 959 920 1.13      
39 B2 802 770 10.66      
40 B2 732 702 13.71      
41 B2 662 635 0.01      
42 B2 555 533 4.26      
43 B2 277 266 0.14      
44 B2 118 113 0.13      
45 B3 3216 3086 6.84      
46 B3 3200 3070 0.00      
47 B3 1623 1558 0.18      
48 B3 1511 1449 2.82      
49 B3 1393 1336 0.05      
50 B3 1331 1277 0.00      
51 B3 1230 1180 0.00      
52 B3 1124 1078 0.46      
53 B3 1036 993 0.23      
54 B3 943 905 4.36      
55 B3 774 743 56.58      
56 B3 734 705 113.30      
57 B3 650 624 0.01      
58 B3 516 495 10.54      
59 B3 366 351 0.37      
60 B3 93 89 1.12      

Unscaled Zero Point Vibrational Energy (zpe) 40282.3 cm-1
Scaled (by 0.9594) Zero Point Vibrational Energy (zpe) 38646.8 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 B3PW91/3-21G*
ABC
0.09519 0.01819 0.01602

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/3-21G*

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 -0.457 1.118 1.457
C4 0.457 -1.118 1.457
C5 -0.457 -1.118 -1.457
C6 0.457 1.118 -1.457
C7 -0.456 1.117 2.851
C8 0.456 -1.117 2.851
C9 -0.456 -1.117 -2.851
C10 0.456 1.117 -2.851
C11 0.000 0.000 3.552
C12 0.000 0.000 -3.552
H13 -0.836 1.977 0.912
H14 0.836 -1.977 0.912
H15 -0.836 -1.977 -0.912
H16 0.836 1.977 -0.912
H17 -0.820 1.986 3.390
H18 0.820 -1.986 3.390
H19 -0.820 -1.986 -3.390
H20 0.820 1.986 -3.390
H21 0.000 0.000 4.637
H22 0.000 0.000 -4.637

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
C11.48461.40321.40322.50892.50892.42932.42933.79023.79022.80994.29452.15292.15292.70992.70993.40973.40974.65754.65753.89485.3794
C21.48462.50892.50891.40321.40323.79023.79022.42932.42934.29452.80992.70992.70992.15292.15294.65754.65753.40973.40975.37943.8948
C31.40322.50892.41543.67253.05361.39382.78794.85284.40312.41855.15251.08533.39773.91552.83232.15003.87305.76685.08693.40196.2124
C41.40322.50892.41543.05363.67252.78791.39384.40314.85282.41855.15253.39771.08532.83233.91553.87302.15005.08695.76683.40196.2124
C52.50891.40323.67253.05362.41544.85284.40311.39382.78795.15252.41853.91552.83231.08533.39775.76685.08692.15003.87306.21243.4019
C62.50891.40323.05363.67252.41544.40314.85282.78791.39385.15252.41852.83233.91553.39771.08535.08695.76683.87302.15006.21243.4019
C72.42933.79021.39382.78794.85284.40312.41366.12365.77381.39596.51562.15423.87304.88624.07031.08523.39826.97916.42882.15597.5843
C82.42933.79022.78791.39384.40314.85282.41365.77386.12361.39596.51563.87302.15424.07034.88623.39821.08526.42886.97912.15597.5843
C93.79022.42934.85284.40311.39382.78796.12365.77382.41366.51561.39594.88624.07032.15423.87306.97916.42881.08523.39827.58432.1559
C103.79022.42934.40314.85282.78791.39385.77386.12362.41366.51561.39594.07034.88623.87302.15426.42886.97913.39821.08527.58432.1559
C112.80994.29452.41852.41855.15255.15251.39591.39596.51566.51567.10443.40233.40234.95354.95352.15442.15447.26717.26711.08498.1893
C124.29452.80995.15255.15252.41852.41856.51566.51561.39591.39597.10444.95354.95353.40233.40237.26717.26712.15442.15448.18931.0849
H132.15292.70991.08533.39773.91552.83232.15423.87304.88624.07033.40234.95354.29244.35372.47522.47804.95815.84884.61024.29905.9498
H142.15292.70993.39771.08532.83233.91553.87302.15424.07034.88623.40234.95354.29242.47524.35374.95812.47804.61025.84884.29905.9498
H152.70992.15293.91552.83231.08533.39774.88624.07032.15423.87304.95353.40234.35372.47524.29245.84884.61022.47804.95815.94984.2990
H162.70992.15292.83233.91553.39771.08534.07034.88623.87302.15424.95353.40232.47524.35374.29244.61025.84884.95812.47805.94984.2990
H173.40974.65752.15003.87305.76685.08691.08523.39826.97916.42882.15447.26712.47804.95815.84884.61024.29677.85766.97592.48408.3097
H183.40974.65753.87302.15005.08695.76683.39821.08526.42886.97912.15447.26714.95812.47804.61025.84884.29676.97597.85762.48408.3097
H194.65753.40975.76685.08692.15003.87306.97916.42881.08523.39827.26712.15445.84884.61022.47804.95817.85766.97594.29678.30972.4840
H204.65753.40975.08695.76683.87302.15006.42886.97913.39821.08527.26712.15444.61025.84884.95812.47806.97597.85764.29678.30972.4840
H213.89485.37943.40193.40196.21246.21242.15592.15597.58437.58431.08498.18934.29904.29905.94985.94982.48402.48408.30978.30979.2742
H225.37943.89486.21246.21243.40193.40197.58437.58432.15592.15598.18931.08495.94985.94984.29904.29908.30978.30972.48402.48409.2742

picture of biphenyl state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C5 120.610 C1 C2 C6 120.610
C1 C3 C7 120.574 C1 C3 H13 119.250
C1 C4 C8 120.574 C1 C4 H14 119.250
C2 C1 C3 120.610 C2 C1 C4 120.610
C2 C5 C9 120.574 C2 C5 H15 119.250
C2 C6 C10 120.574 C2 C6 H16 119.250
C3 C1 C4 118.780 C3 C7 C11 120.207
C3 C7 H17 119.775 C4 C8 C11 120.207
C4 C8 H18 119.775 C5 C2 C6 118.780
C5 C9 C12 120.207 C5 C9 H19 119.775
C6 C10 C12 120.207 C6 C10 H20 119.775
C7 C3 H13 120.157 C7 C11 C8 119.658
C7 C11 H21 120.171 C8 C4 H14 120.157
C8 C11 H21 120.171 C9 C5 H15 120.157
C9 C12 C10 119.658 C9 C12 H22 120.171
C10 C6 H16 120.157 C10 C12 H22 120.171
C11 C7 H17 120.016 C11 C8 H18 120.016
C12 C9 H19 120.016 C12 C10 H20 120.016
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.022      
2 C -0.022      
3 C -0.212      
4 C -0.212      
5 C -0.212      
6 C -0.212      
7 C -0.213      
8 C -0.213      
9 C -0.213      
10 C -0.213      
11 C -0.216      
12 C -0.216      
13 H 0.219      
14 H 0.219      
15 H 0.219      
16 H 0.219      
17 H 0.218      
18 H 0.218      
19 H 0.218      
20 H 0.218      
21 H 0.217      
22 H 0.217      


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 -75.315 0.000 0.000
y 0.000 -62.259 0.000
z 0.000 0.000 -59.522
Traceless
 xyz
x -14.424 0.000 0.000
y 0.000 5.160 0.000
z 0.000 0.000 9.264
Polar
3z2-r218.529
x2-y2-13.056
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.616 0.000 0.000
y 0.000 16.313 0.000
z 0.000 0.000 26.280


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